Answer:
560
The formula for interest is I=prt
so 4000×7/100×2=560
If f(x) is an exponential function where f(2)= 3 and f(10.5)= 96, then find the
value of f(16), to the nearest hundredth.
The value of f(16)=903.99, if f(x) is an exponential function where f(2)=3 and f(10.5)=96
What is meant by exponential function?The exponential function is a mathematical function that is represented by f(x)=exp or ex. Unless otherwise specified, the term refers to a positive-valued function of a real variable, though it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras. Although the exponential function was derived from the concept of exponentiation (repeated multiplication), modern definitions (there are several equivalent characterizations) allow it to be rigorously extended to all real arguments, including irrational numbers. Because of its prevalence in pure and applied mathematics, mathematician Walter Rudin called the exponential function the most important function in mathematics.
For exponential function,
f(x)= abˣ ; b>0, a, b ∈R
Given, f(2)=3
f(10.5)=96
Therefore, f(2)=ab²
3=ab²
a=3/b²
f(10.5)=a[tex]b^{10.5}[/tex]
96=a[tex]b^{10.5}[/tex]
a=96/[tex]b^{10.5}[/tex]
By equating a values then,
3/b²=96/[tex]b^{10.5}[/tex]
3[tex]b^{10.5}[/tex]=96b²
32=[tex]b^{10.5}[/tex]b⁻²
[tex]b^{8.5}[/tex]=32
b=[tex](32)^{1/8.5}[/tex]
Therefore, b=1.5034
a=3/b²
a=3/(1.5034)²
a=1.3273
f(16)=ab¹⁶
f(16)=(1.3273)(1.5034)¹⁶
f(16)=903.99
Therefore, the value of f(16)=903.99
To know more about exponential function, visit:
https://brainly.com/question/14355665
#SPJ1
Please help me solve it WITHOUT THE USE OF A GRAPHING CALCULATOR OR ANY ONLINE TOOL.
Answer:
a) See attached (sorry if its a bit unneat, use 5 points for more accuracy while drawing. 3 points is generally accepted though.)
b) 80 mins
c) 4000 meters, 40 minutes
Step-by-step explanation:
First, lets define the literal meaning of the questions.
A) Graph the function (I will explain how to do below)
B) What is the absolute value of the distance of the x-intercepts?
C) What is the y value of the vertex (maximum/ minimum value). What is the x value of the vertex?
Lets solve these problems. To graph a quadratic equation by hand, first you must find the vertex. Formula for the x-value of the vertex:
[tex]\frac{-b}{2a}[/tex]
Because a quadratic equation is in the form:
[tex]ax^2 + bx + c = 0[/tex]
We can find the values of a and b.
Values of a and b in this equation:
a: -2.5
b: 200
Plug into the vertex formula (shown above), -b/2a
[tex]\frac{(-)(200)}{(2)(-2.5)}[/tex]
Simplify.
[tex]\frac{-200}{-5}[/tex]
Simplify.
-200/-5 = 40
Now we have 40, the x value of the vertex. Plug 40 back into the x values of the problem (t in this word problem) to find the y value of the vertex.
The equation:
[tex]h=-2.5t^2+200t[/tex]
Plug in 40 to the t values.
[tex]h = -2.5(40)^2 + 200(40)[/tex]
Simplify.
[tex]h = -4000 + 8000[/tex]
Add.
h = 4000
Now, we have the values of the vertex.
Values of vertex:
x: 40
y: 4000
This means that when the x-value is 40, the y-value is 4000. In this case, it means 40 minutes in, the altitude of the plane is 4000 meters.
On a graph, draw a point at x-value 40 and y-value 4000. This will be needed when we draw the graph.
We need at least 3 points to graph a quadratic equation (this applies to all parabolas.)
This part is a bit hard to explain, but you will get it with this example. Since we need 3 points, we need to solve for 2 more points like we just did. But what x-values do we use? For the vertex, we knew the x value was -b/2a!
Solve for x-values that have an equivalent absolute distance from the x value of the vertex.
For example, in this case, the x value of the vertex is 40.
If we were to pick the x value of 38 for the 2nd point, we would have to use the 42 for the 3rd point as they are both 2 away from 40.
|40-38| = 2
|40-42| = 2
I will use the x values of 38 and 42 to graph this. Lets do the same thing we did to find the y value of the vertex. Plug the x values into the equation individually.
Equation:
[tex]h=-2.5t^2+200t[/tex]
Plug in 38 to the x values (in this case its called t.)
[tex]h = -2.5(38)^2 + 200(38)[/tex]
Simplify.
h = -3610 + 7600
Add.
h = 3990
This means when the x value of the parabola is 38, the y value is 3990. In this case, it means after the plane has flown for 38 minutes, the altitude of the plane is 3990.
Now lets find what the y-value of the parabola would be when the x-value is 42 (when we've did this, we can graph it.)
But here is a little trick to speeden things up. If the absolute value of the difference of the x-value of the vertex (40 in this case) and the x value of the point we just found (38 in this case) is the same as the absolute value of the difference of the 3rd point we need to graph (42 in this case), which is always true if you followed the steps above, the y value is the same!
So, this means, when:
Point 2:
x: 38
y: 3990
Point 3:
x: 42
y: 3990
The y-value of the 3rd point we need to find is 3990.
Now we can graph it using our points.
Point 1 (Vertex):
x: 40
y: 4000
Point 2:
x: 38
y: 3990
Point 3:
x: 42
y: 3990
I'll just use paint to draw this, draw the points, label them, and connect the points with a parabola.
Now lets answer b using the definitions.
Because we need to find the x intercepts, lets use the quadratic formula.
[tex]\frac{ -b± \sqrt{b^2-4ac}}{2a}[/tex]
Ignore the A's, its a bug.
If you need to know how to use the quadratic equation, DM me. Otherwise, I will just write the x-intercepts.
x-intercepts:
0,80
Because it is asking for the distance between Toronto and Montreal in minutes, subtract 0 from 80.
80-0=80
B) 80 minutes
The maximum height of the aircraft is the y value of the vertex and the time that the aircraft reaches this height is the x-value of the intercept.
(Vertex):
x: 40
y: 4000
C) 4000 meters, 40 minutes
Answer:
a) See attached.
b) 80 minutes
c) Maximum height = 4000 m
Time = 40 minutes
Step-by-step explanation:
Given function:
[tex]h=-2.5t^2+200t[/tex]
where:
h is the height of the aircraft, in metres.t is the time, in minutes.Part a)The function is quadratic, which means the graph of the function is a parabola.
Axis of Symmetry
A parabola has perfect symmetry.
For a quadratic in the form [tex]ax^2+bx+c[/tex], its axis of symmetry is:
[tex]\boxed{x=-\dfrac{b}{2a}}[/tex]
Therefore, the axis of symmetry for the given function is:
[tex]x=-\dfrac{200}{2(-2.5)}=40[/tex]
Vertex
As the leading coefficient is negative, the parabola opens downwards.
Therefore, the vertex is the maximum point of the parabola.
The axis of symmetry is the x-value of the vertex.
Substitute t = 40 into the given function to find the y-value of the vertex:
[tex]\implies h(40)=-2.5(40)^2+200(40)[/tex]
[tex]\implies h(40)=4000[/tex]
Therefore, the vertex of the function is (40, 4000).
x-intercepts
To find the x-intercepts of the function, set the function to zero and solve for t:
[tex]\implies -2.5t^2+200t=0[/tex]
[tex]\implies -2.5t(t-80)=0[/tex]
Therefore:
[tex]\implies -2.5t=0 \implies t=0[/tex]
[tex]\implies t-80=0 \implies t=80[/tex]
Therefore, the x-intercepts are (0, 0) and (0, 80).
Graphing the function
Draw a coordinate plane where the axis scale is:
x-axis : y-axis = 1 : 100Plot:
Vertex = (40, 4000)Axis of symmetry: x = 40x-intercepts: (0, 0) and (0, 80)Draw a curve, symmetric about the axis of symmetry, that passes through the vertex and the x-intercepts.
Part b)When the aircraft is in Toronto and Montreal, the height of the aircraft is zero.
The time at which the height of the aircraft is zero is t = 0 and t = 80 (from part a). Therefore, the time it takes to fly from Toronto to Montreal is the difference between the two times:
[tex]\implies 80-0=80\; \sf minutes[/tex]
Part c)The maximum height of the aircraft is the y-value of the vertex of the parabola.
Therefore, as the vertex of the parabola is (40, 4000), the maximum height of the aircraft is 4000 m.
The maximum height is reached 40 minutes after the aircraft leaves Toronto.
Kammi and Alejandro each go to a hardware store to buy wire. The table shows the relationship between the cost and the length of wire.
a. Kammi needs 24 feet of wire. How much will she spend on wire?
b. Alejandro needs 13 yards of wire. How much will he spend on wire?
Answer: i think this is the same thing https://brainly.com/question/28965695?referrer=searchResults
if it is then theres ur answer
Step-by-step explanation:
Callie has a rope that is 14.7 inches long. She cuts the rope into 3 pieces. If each piece is the same length, how long is each piece of rope?
Answer:
Each piece will be 4.9 inches long
Step-by-step explanation:
All you have to do is divide 14.7 by three as the rope itself is cut into 3 equal parts
therefore: 14.7/ 3= 4.9
Adela has 24 bracelets. She makes 3 more
each day.
Isaiah has 10 bracelets. He makes
5 more each day.
The equations represent
the number of bracelets y each person has after x days.
Adela: y = 3x + 24
Isaiah: y = 5x + 10
Use elimination to solve the system of equations.
What does the solution mean in the situation?
The solution of the system of equations is; (7, 45).
The solution in this situation means that after 7 days, Adela and Isaiah would each have 45 bracelets.
What is the solution of the system of equations?It follows from the task content that the solution to the system of equations is to be determined and interpreted accordingly.
Since the given equations are;
Adela: y = 3x + 24Isaiah: y = 5x + 10By elimination, we must subtract Isaiah's equation from Adela's so that we have;
(y - y) = (3x - 5x) + (24 - 10)
0 = -2x + 14
2x = 14; x = 7.
Consequently, y = 3 (7) + 24
y = 21 + 24; y = 45.
Consequently, the solution to the system of equations as given in the task content is; (7, 45).
This means that after 7 days, Adela and Isaiah would both have; 45 bracelets.
Read more on simultaneous equations;
https://brainly.com/question/16863577
#SPJ1
Melissa uses 3/5 as much water as Neil to water her plants. If Melissa uses 4 and 1/3 gallons of water, how much does Neil use?
The amount of water that Neil uses is 7.22 gallons
How to calculate the fraction?From the information, Melissa uses 3/5 as much water as Neil to water her plants and Melissa uses 4 and 1/3 gallons of water.
Let Neil be illustrated as x
Therefore, 3/5 × x = 4 1/3
0.6x = 4 1/3
0.6x = 4.33
Divide
x = 4.33 / 0.6
x = 7.22 gallons
Neil used 7.22 gallons.
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
What is the slope of a line perpendicular to the line whose equation is x+y= 3. Fully simplify your answer.
The slope of the line perpendicular to the line whose equation is x+y = 3 is 1.
According to the question,
We have the following information:
The equation of the line:
x+y = 3
Now, we will convert this equation into the slope-intercept form:
y = -x+3
Now, slope of this line is -1.
Slope of the perpendicular line to this line = -1/m where m is the slope of the line
Slope of the perpendicular line to this line = -(-1)/1
Slope of the perpendicular line to this line = 1
Hence, the slope of the line perpendicular to the line whose equation is x+y = 3 is 1.
To know more about slope here
https://brainly.com/question/24810955
#SPJ9
Your store cost on a loaf of bread is $0. 75, and your retail price is $3. 85. You are having a promotion which discounts the bread 20%. What is your margin on the discounted bread?.
The margin on the discounted bread is $2.33
Given,
In the question:
Your store cost on a loaf of bread is $0. 75,
and your retail price is $3. 85.
You are having a promotion which discounts the bread 20%.
To find the margin on the discounted bread.
Now, According to the question:
Given store cost on a loaf of bread is $0.75 and retail price is $3.85.
Discount is always given on retail price.
The amount of discount is 20%
Discount given on $3.85 = 20% of 3.85= .20(3.85)= 0.77.
Cost of bread after discount =3.85-0.77= 3.08
The discounted bread costs $3.08.
The difference in store cost and discounted cost = 3.08-0.75=$2.33
Hence, the margin on the discounted bread is $2.33
Learn more about Retail Price at:
https://brainly.com/question/3735761
#SPJ4
In the diagram below of triangle
F
G
H
FGH,
I
I is the midpoint of
F
H
‾
FH
and
J
J is the midpoint of
G
H
‾
GH
. If m
∠
H
F
G
=
57
−
6
x
∠HFG=57−6x, and m
∠
H
I
J
=
−
4
x
+
49
∠HIJ=−4x+49, what is the measure of
∠
H
I
J
∠HIJ
Applying the corresponding angles theorem, the measure of ∠HIJ = 33°.
What is the Corresponding Angles Theorem?If two triangles are similar to each other, their corresponding angles would be equal. Also, based on the corresponding angles theorem, corresponding angles are equal to each other.
Triangles IHJ and FGH are similar to each other, therefore, angles HFG and HIJ are corresponding angles.
Therefore:
The measure of angle HFG = the measure of angle HIJ
m∠HFG = 57 − 6x
m∠HIJ = −4x + 49
Thus:
57 − 6x = -4x + 49
Combine like terms
4x - 6x = -57 + 49
-2x = -8
Divide both sides by -2
-2x/-2 = -8/-2
x = 4
m∠HIJ = −4x + 49 = -4(4) + 49
m∠HIJ = 33°
Learn more about the corresponding angles theorem on:
https://brainly.com/question/28182407
#SPJ1
Complete Question:
In the diagram below of triangle FGH, I is the midpoint of FH and J is the midpoint of GH. If m∠HFG = 57 − 6x, and m∠HIJ = −4x + 49, what is the measure of ∠HIJ?
please help!!!! tysm in advance
The least common denominator, LCD, for the given pair of fractions is x²- 25
Determining the least common denominatorFrom the question, we are to determine the least common denominators of the given fractions.
The given fractions are
3/x -5 and 3/x + 5
To determine the least common denominator of the fractions, we will determine the lowest common multiple of their denominators.
The denominators are x - 5 and x + 5
To do this, we will find the product of the expressions
(x -5)(x + 5)
Clear the parentheses by applying the distributive property
That is,
x(x + 5) -5(x + 5)
x² + 5x -5x - 25
x² - 25
Hence, the LCD is x² - 25
Learn more on Determining the least common denominator here: https://brainly.com/question/26118718
#SPJ1
Jerry watched 1 2 of a movie in the morning, and he watched ome more at night. By the end of the day, he till had 2 5 of the movie left to watch. How much of the movie did Jerry watch at night?
Jerry watched 1/10 part of the movie at night.
Given that,
Watched movie in morning = 1/2
Movie left to watch = 2/5
To find:
Movie she watch at night
Now,
Movie she watch at night= 1 - Watch movie in morning - Movie left to watch
= 1 - 1/2 - 2/5
solving the right hand side by taking LCM , we get,
= 10 - 5 - 4/10
= 1/10
∴ Movie she watch at night is 1/10.
Learn more about LCM:
https://brainly.com/question/24510622
#SPJ4
The diameter of a regulation soccer ball is about 8 3/5 inches. This number was graphed on a number line. Which point could he be the point representing the graph of the diameter of the ball
The number is in between 8 and 9 on the right side of the line.
The number line is a line composed of numbers from negative infinity to positive infinity.
This means all kinds of numbers, except imaginary numbers, are included including integers (whole numbers), rational and irrational numbers.
Positive numbers lie on the right side while negative numbers lie on the left side.
In this case, the first thing to do is to convert the fraction part of 8 3/5 to estimate its location in the number line.
So, 3/5 is equal to 0.6.
Thus, 8 3/5 = 8.6.
The number is thus in between 8 and 9 on the right side of the line that is a little more than the half between these numbers.
Hence the answer is the number is thus in between 8 and 9 on the right side of the line.
To learn more about diameter click here https://brainly.com/question/23220731
#SPJ9
if a farm has 30 chickens and cows and there are 82 chicken and cows legs all together then how many chickens and how many cows could the farm have?
Answer: 11 cows and 19 chickens
Step-by-step explanation:
Martin wants to join a book club to get discount books. Store A charges a joining fee of $75 plus $10 per book. Store B does not have a joining fee and charges $15 per book. What is the greatest number of books Martin can buy so that the total cost at Store A is less than the total cost at Store B?
Step-by-step explanation:
cost at store A :
cost(b) = 10b + 75
cost at store B :
cosr(b) = 15b
b = the number of books bought.
to answer the question find for what b both functions deliver the same result :
10b + 75 = 15b
75 = 5b
b = 15
when buying the 15th book both costs are the same.
to keep the costs of store A truly less than the costs of store B the limit is therefore 14 books.
The width of a rectangle is 7x - 1 feet and the length is 2x + 10 feet. Find the perimeter of the rectangle.
Answer:
18x +18
Step-by-step explanation:
We know the opposite sides of a rectangle are always equal, so all you need to do is double both sides and add them together.
(7x-1) + (7x-1) + (2x+10) + (2x+10) = 18x +18
Help pls
2 Answers and I can make brainliest whoever has the correct answer
Answer:
6 kg
Step-by-step explanation:
The other guy is correct.
5x+7
i need answer pls
Answer:
if all this equals with zero the answer is x= - 5/7
Step-by-step explanation:
IF it is 5x+7=0 =} 5x= -7=} x= - 5/7
a process used to manufacture paint yields, on the average, 70 tons of paint each day. yields, however , vary from day to day due to changes in raw materials and plant conditions. suppose, it is established that the daily yields are normally distributed, and that the variability from one day to the other is more or less independent , and the standard deviation is 3 tons. because of increasing demand for this type of paint, certain modifications are suggested , and we are interested in estimating the mean yield of this modified process. how many sample observations do we have to obtain if we want to be 98% confident that our estimate is within 1 ton of the true, but unknown mean?
Using the Sample size formula , the sample manufactuer of paints observations or sample size is 22 ton .
Sample size: It is defined as the number of participants or total observations in a study of sample.
we have provided that,
standard deviations of sample (σ)= 3 tons
mean of sample ( X) = 70 tons
confidence level = 98% = 0.98
Margin of error (M.E) = 1 ton
Using the sample size formula,
n = z²(σ)(1-σ) /( M.E)²[1+σ (1-σ)z²/(M.E)²X]
where, X---> population size
s.d --> standard deviations
M.E ---> margin of error
Z-value for confidence level
so, z-value corresponding to 98% of confidence level is 2.32 ..
putting all the values in above formula we get, n = (2.32)²(2)3/(1)²(1+ (2.32)²(6)70×1)
=> n= 32.29/(1+(0.46))= 32.29/ 0.46
= 22.1 ~ 22
Hence, sample size is 22 ton .
To learn more about sample size, refer:
ttps://brainly.com/question/24158610
#SPJ4
38. The manufacturing cost for a certain automobile is n dollars. The manufacturer
sells the car to a retailer at 5 percent more than cost. If the retailer sells the car to a
consumer for 10 percent more than he paid for it, how many dollars does the car
cost the consumer?
(A)1.050n
(D)1.515n
(B)1. 150n
(E)1.555n
(C)1. 155n
Answer:
C) 1.155nStep-by-step explanation:
Cost price is n.
Add 5% n + 5% = n + 0.05n = 1.05nNow add 10%1.05n + 10% = 1.05n + 0.1*1.05n = 1.05n + 0.105n = 1.155nCorrect choice is C.
A student assigns a random number from 1 to 13 to simulate the value of a card drawn at random from a standard deck of playing cards. A. The simulation should model the real situation. B. The simulation might not model the real situation. The deck may not be shuffled, in which case the real situation may not be random C. The simulation will not model the real situation. The simulation must also account for the cards suit D. The simulation will not model the real situation. The simulation sould use random nubmers from 1 to 12
To simulate the value of a card drawn at random, then option A. the simulation should model the real situation.
The likelihood that something will happen is what is commonly referred to as probability. When we don't know how something will turn out, we can talk about the possibility of a few outcomes or the probability of one. A probability distribution's effect on events is the subject of statistics. Probability theory is the name of the branch of mathematics that studies probability. The concept of probability, which has many different interpretations, is formalized by probability theory through a set of axioms. The term "simple probability" refers to the process of calculating a result or the probability that an event will ever occur. By dividing one possible event by all other possible outcomes, a basic probability can be calculated.
To learn more about probability: https://brainly.com/question/13604758
#SPJ4
the 6th term of an arithmetic progreion i 35 and the 13th term i 77. find the 20th term
The 20th term of the given arithmetic progression is 119.
What is arithmetic progression?An arithmetic progression is a set of integers with a fixed difference between any two succeeding numbers (A.P.).
3,6,9,12,15,18, and 21 are A.P. examples.
So, the formula for the nth term:
a+(n-1)d, where d is the common difference
Now, take out the equation:
6th term = 35
a+(6-1)d= 35
a+5d=35 ....(1)
13th term = 77
a+12d= 77 .....(2)
Then, subtract equation (1) from equation (2):
a+12d-(a+5d)= 77-35
a+12d-a-5d= 42
7d=42
d=6
Calculate from equation (1):
a= 35-5d= 35-5(6)= 35-30 = 5
20th term= a+19d= 5+19(6)= 119
Therefore, the 20th term of the given arithmetic progression is 119.
Know more about arithmetic progression here:
https://brainly.com/question/6561461
#SPJ1
The 10 number from one to 10 are plit into two group. The um of the number in one group i N, and the product of the number in the other group i N. What i the larget poible value of N?
The largest possible value of N is 42, which is equal to the sum of numbers of one group and product of numbers of other group.
We have provided the following informations,
total number = 10 and possible numbers are,
S = {1, 2,3,4,5,6,7,8,9,10}
Now, we have to split the 10 numbers into two groups. The conditions for group making are
Sum of number in one group is Nproduct of the number of other group is Nmaximum possible sum of numbers from S is 55.
because given numbers are in A.P and sum of A 10 terms is 55 in A.P.
but according to question, t the maximum possible value of N which follow the conditions is 42.
we can splits the set S elements in two groups such that one is P={6,7} and other one Q={ 1,2,3,4,5,8,9,10}
sum of numbers of Q is 42 and product of second group (P) = 42
No other value of N greater than 42 is possible for N .
Hence, 42 is largest possible value of N.
To learn more about Number System, refer:
https://brainly.com/question/17200227
#SPJ4
Alan added 3 fish to his pond each day for 21 days. What was the total change in the number of fish in the pond?
The total number of changes in fishes is 63
What is product of numbers?The product is the multiplication of two or more integers together. Assume their are two integers and , then their product will be obtained when we multiply both the numbers together. 9× 7 = 63 . For example if there are 10mangoes in 5 basket, the total number of mangoes is 5×10= 50mangoes
3 fishes were added for 21 days in a pond. This means that the total number of fishes added = 21×3= 63 fishes
Therefore the total number of changes in the pond is 63 fishes.
learn more about product of numbers from
https://brainly.com/question/25922327
#SPJ1
5 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is a 3? Express your answer as a fraction or a decimal number rounded to four decimal places.
The Probability that at least one of the cards drawn is 3 is 0.3412 .
In the question ,
it is given that ,
number of cards drawn from the deck [tex]=[/tex] 5 .
total cards in the deck is [tex]=[/tex] 52 .
number of "3" cards in the deck = 4
number of cards that are not "3" = 48 .
Number of ways to draw cards that are not 3 = ⁴⁸C₅
Total number of ways to draw 5 cards from the deck = ⁵²C₅
the probability that card dawn is not 3 = ⁴⁸C₅/⁵²C₅
as the value of ⁴⁸C₅ = 1712304 and ⁵²C₅ = 2598960
= 1712304/2598960
= 0.65885
So , the probability that at least one card is 3 = 1 - (probability that no card is 3)
= 1 - 0.65885
= 0.34115
≈ 0.3412
Therefore , The Probability that at least one of the cards drawn is 3 is 0.3412 .
Learn more about Probability here
https://brainly.com/question/14308190
#SPJ1
our club has $25$ members, and wishes to pick a president, secretary, and treasurer. in how many ways can we choose the officers, if individual members may hold more than one office?
If you have 25 members, and wishes to pick a president, secretary, and treasurer, then we have 13,800 ways to choose the officers, if individual members may hold more than one office.
In the given question,
If you have 25 members, and wishes to pick a president, secretary, and treasurer, then we have to find how many ways can we choose the officers, if individual members may hold more than one office.
We have total 25 members.
Their have total 3 position president, secretary, and treasurer.
When the one position of president filled then their was left 24 member for the secretary position.
When the one position of secretary filled then their was left 23 member for the treasurer position.
So the possible ways to fill the position is find by multiplying the 25,24 and 23. So
Possible ways=25*24*23
Possible ways=13,800
Hence, if you have 25 members, and wishes to pick a president, secretary, and treasurer, then we have 13,800 ways to choose the officers, if individual members may hold more than one office.
To learn more about probability link is here
brainly.com/question/14257619
#SPJ4
HWLP ASPP PLEASE SHOW UR WORK
Answer: 1. 3
5. -3
Step-by-step explanation:
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5200 and his stock in Company B was worth $6450. The stock in Company A has decreased 3% since last year and the stock in Company B has decreased 6%. What was the total percentage decrease in the investor's stock account?
The total percentage decrease in the investor's stock account is 5%.
How to find the percentage decrease?Investment in stock A = 5200
Investment in stock B = 6450
Investment in stock A and B worth
5200 × (1- 0.03) = 5044
6450× ( 1- 0.06) = 6063
Total investment in both stock A and B now
5044 + 6063= 11107
Total investment in both stock A and B last year
5200 + 6450 = 11,650
Hence,
Total percentage decrease = 1 - (11,107 /11,650)
Total percentage decrease = 1 - 0.95
Total percentage decrease = 5%
Therefore 5% is the percentage decrease.
Learn more about percentage decrease here:https://brainly.com/question/11360390
#SPJ1
Part A: Without calculating the values, compare the expressions using <, >, or =.
Write the correct symbol. Draw a model if it helps you.
(5+15)x13
31×(15+5)
The difference between 15 fours and
6 fours.
The sum of 4 fours and 5
fours
Part B: Explain how you compared the expressions without calculating.
The amount of cookies baked was 28 cookies
Solution for how many cookies your mother bake altogetherlet the number of pumpkin cookies be x
half of them on a plate for your brother and you
= x - x/2 = x/2
Your dog Gobbles ate six
= x/2 - 6
Your brother ate half of what was left
= (x/2 - 6)) / 2
= x/4 - 3
you ate the last four means that what was left is equal to 4
x/4 - 3 = 4
x - 12 = 16
x = 16 + 12
x = 28
Learn more about equations at:
https://brainly.com/question/29403568
#SPJ1
Point B' is the image of point B after a reflection in a line. Write an equation of the line.
B(2, -4), B'(6, -4)
Answer:
x = 4
Step-by-step explanation:
The amount y (in dollars) of
money you have left after
playing x games at a
carnival is y=-0.75x + 10.
How much money do you
have after playing eight
games?
Answer:
You will have 4 dollars left
Step-by-step explanation:
Assuming from the question, you start with 10 dollars. You lose 75 cents for each games. If you play 8 games, you multiply 0.75 by 8 to get 6. Then you subtract 6 from 10 to get your remaining money, which is 4 dollars