60 = 5(1.07)^x
initial value:
a. 7%
b. 1.07%
c. 9.3%
d. 5
e. 60
growth or decay?
growth/decay rate?
a. 7%
b. 1.07%
c. 9.3%
d. 5
e. 60
Answers
Given:
The given equation is
[tex]60=5(1.07)^x[/tex]
To find:
The initial value and growth/decay factor.
Solution:
The general exponential growth/decay model is
[tex]y=a(1+r)^x[/tex] ...(i)
where, a is initial value, if r>0, then |r| is growth factor, if r<0, then |r| is decay factor and x is time.
We have,
[tex]60=5(1.07)^x[/tex]
It can be written as
[tex]60=5(1+0.07)^x[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=5\text{ and }r=0.07[/tex]
Here, initial value is 5 and growth factor is 0.07, i.e., 7%.
Therefore, the correct option for first question is d and correct option for second question is a.
Answer:
see image
Step-by-step explanation:
Plato/Edmentum
Related Questions
List all 6 Congruence statements for the following triangles.
Answers
Answer:
Put the segment mark above each set.
fe is congruent to Rs (do the opposite rs is congruent to fe)
Rs congruent to fe (opposite)
fd is congruent to rt (opposite) I think
The population of London is currently estimated at 8.156 million.
What is the value of the 5?
I
Answers
Answer:
The value of 5 is fifty thousand (50,000)
Step-by-step explanation:
8.156 million = 8,156,000
hope this helps!
The value of 5 is 50, 000.
What is place value?In mathematics, place value refers to the relative importance of each digit in a number. These locations begin at the unit's location (ones place). The place values of a number's digits are expressed in the following order: ones/units, tens, hundreds, thousands, ten thousands, and so on.
Given:
The population of London is currently estimated at 8.156 million.
Expanding 8.156 million.
= 8.156,000
Here the place value of 5 is ten thousand.
Hence, the value of 5 is 50, 000.
Learn more about place value here:
https://brainly.com/question/27734142
#SPJ2
A group of individuals containingbboys andggirls is lined up in a randomorder; that is, each of the (g+b)! permutations is assumed to be equally likely.What is the probability that the person in theithposition (1≤i≤b+g) isa girl?
Answers
Answer:
g/(b + g)
Step-by-step explanation:
We are told the group of individuals contain b number of boys and g number of girls.
Now the number of ways of selecting 1 girl out of g number of girls is;
gC1 = g!/(g - 1)! = (g × (g - 1)!)/(g - 1)!
(g - 1)! will cancel out to give;
gC1 = g
Now, since total number of boys and girls is b + g, and we have chosen one girl out, the remaining number of people will be; b + g - 1.
Thus, number of ways to arrange the remaining people will be;
(b + g - 1)!
Now, the probability that the person in the ith position (1 ≤ I ≤ b+g) is a girl will be;
(gC1 × (b + g - 1)!)/(b + g)!
We know that gC1 = g from earlier derivation.
Expanding this gives;
[g(b + g - 1) × (b + g - 2)!]/[(b + g) × (b + g - 1) × (b + g - 2)!]
(b + g - 1) × (b + g - 2)! will cancel out to give;
g/(b + g)
there are 18 people at the party. some are boys and some are girls. the number of boys is the same as the number of girls
Answers
Answer:
9 boys 9 girls
Step-by-step explanation:
18 = 2x
9
2. The hypotenuse of a right triangle
has length 50 cm. One leg has
length 20 cm. To the nearest
tenth, what is the length of the
other leg?
A 30.0 cm
B 45.8 cm
© 49.8 cm
0 539 cm
Answers
9514 1404 393
Answer:
B. 45.8 cm
Step-by-step explanation:
The Pythagorean theorem is helpful. For legs a, b, and hypotenuse c, it tells you ...
c² = a² +b²
50² = 20² +b²
b² = 2500 -400 = 2100
b = √2100 ≈ 45.8
The length of the other leg is about 45.8 cm.
Kaitlin earns $16 per hour tutoring students after school. If Kaitlin tutored for 19.5 hours this month, how much money did she earn this month?
Answers
Answer: Kaitlin earned $312 this month.
Step-by-step explanation:
since it says $16 per hour and she has tutored for 19.5 hours you just simply multiply the two to get your answer because it wants to know how much she earned this month.
What is the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p)?
Answers
Complete Question
The proportion of adult women in the United States is 51% (p=0.51).What is the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p)?
Answer:
The probability is [tex]P( 0.48 < p < 0.54 ) = 0.77[/tex] or [tex]P( 0.48 < p < 0.54 ) = 77\%[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 400
The population proportion is p = 0.51
Generally the standard deviation of this sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.51(1-0.51)}{400} }[/tex]
=> [tex]\sigma = 0.02499[/tex]
Generally the lower limit for the range of the population proportion within 0.03 is
[tex]a = p - 0.03[/tex]
=>[tex]a = 0.51 - 0.03[/tex]
=>[tex]a = 0.48[/tex]
Generally the upper limit for the range of the population proportion within 0.03 is
[tex]b = p + 0.03[/tex]
=>[tex]a = 0.51 + 0.03[/tex]
=>[tex]a = 0.54[/tex]
Generally the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p) is mathematically represented as
[tex]P( a < p < b) = P( \frac{a - p }{\sigma } < \frac{\^ p - p }{\sigma} < \frac{b - p}{\sigma } )[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = P( \frac{0.48 - 0.51 }{0.02499 } < \frac{\^ p - p }{\sigma} < \frac{0.54 - 0.51}{0.02499 } )[/tex]
[tex]\frac{\^ p -p }{\sigma } = Z (The \ standardized \ value\ of \ \^ p )[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = P( -1.2 < Z < 1.2 )[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = P( Z < 1.2) - P(Z < -1.2 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.2 and -1.2 is
[tex]P( Z < 1.2) =0.88493[/tex]
and
[tex]P( Z < -1.2) =0.11507[/tex]
So
[tex]P( 0.48 < p < 0.54 ) = 0.88493 - 0.11507[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = 0.77[/tex]
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyi + yzj + zxk, C is the boundary of the part of the paraboloid z = 1 − x2 − y2 in the first octant.
Answers
Answer:
hi I don't know the answer but really sorry I did because I needed some points so that I can ask my questions from another people and thank you for free points
12. What is the value of x ?
Answers
Answer: 4.5
Step-by-step explanation:
Since the two black chords are congruent, we know that since the bottom black chord is split into two congruent parts, x = 4.5.
The cat has a mass of 4 kilograms. How many grams is that?
1 kilogram= 1000 grams
4 kilograms= grams
ANSWER: 4000 grams
why: if 1 kilogram is 1000 grams then 4 kilograms is 4000 grams because 4 times 1000= 4000. All you have to do is multiply the 1000 grams and the 4 kilograms, and that’s your answer!!
Answers
Answer:
ummm did you need help or....
Step-by-step explanation:
cause you got the answer right....
Find the sum 5.5+7.25-5.5+(-7.25)
Answers
Answer:Can you find the sum [5.5 + (-2.3)] + (-5.5 + 2.3) without performing any additions? - Slader.
1 answer
Missing: 7.25-5.5 7.25)
Step-by-step explanation:
Graph the inequality below on the number line.
x ≥ -9
Answers
<-----------------------●-->
1-2-3-4-5-6-7-8-9
go to the right
Answer:
-9------------> (the circle would be filled in, too)
____._____
0
Step-by-step explanation:
What is the smallest possible real value of x^2+8x?
Answers
========================================================
Explanation:
Let's complete the square
y = x^2 + 8x
y + 16 = x^2 + 8x + 16 .... adding 16 to both sides
y + 16 = (x+4)^2
y = 1(x+4)^2 - 16
We added 16 to both sides to allow the right hand side to factor into a perfect square.
The last line shown above is in the form y = a(x - h)^2 + k where
a = 1
h = -4
k = -16
Note the positive 'a' value indicates we have a minimum.
The vertex is (h,k) = (-4, -16)
The lowest y value possible is at the vertex.
So the smallest y value is y = -16.
This means the smallest possible value of x^2+8x is -16.
Write these numbers from least to greatest.
0.8
0.9
7/8
5/6
Answers
Answer:
0.8 5/6 7/8 0.9
Step-by-step explanation:
5/6 is 0. 83
7/8 is 0.875
Answer: 0.9,0.8,7/8 , 5/6
A bicycle is traveling at 20 miles per hour. How many feet will it cover in 30 seconds? Round your answer to the nearest tenth of a foot.
Answers
Answer:
[tex]Distance = 880ft[/tex]
Step-by-step explanation:
Given
[tex]Speed = 20\frac{miles}{hour}[/tex]
[tex]Time = 30\ seconds[/tex]
Required
Determine the distance
To answer this question, we make use of speed-distance relationship
[tex]Speed = \frac{Distance}{Time}[/tex]
Make Distance the subject
[tex]Distance = Speed * Time[/tex]
[tex]Distance = 20 miles/hour * 30 seconds[/tex]
Convert seconds to hour
[tex]Distance = 20 miles/hour * \frac{30}{3600} hour[/tex]
[tex]Distance = 20 miles * \frac{30}{3600}[/tex]
[tex]Distance = \frac{20 miles * 30}{3600}[/tex]
[tex]Distance = \frac{600\ miles}{3600}[/tex]
[tex]Distance = \frac{1}{6} miles[/tex]
Convert to foot
[tex]Distance = \frac{1}{6} * 5280\ ft[/tex]
[tex]Distance = \frac{1* 5280\ ft}{6}[/tex]
[tex]Distance = \frac{5280\ ft}{6}[/tex]
[tex]Distance = 880ft[/tex]
-9 = a - 3 - a
Solve the equation
Thanks
Answers
Answer:
No solution
Step-by-step explanation:
-9 = a - 3 - a
-6 = a - a
-6 [tex]\neq[/tex] 0, -6 doesn't equal 0 so no solution
2.Marino paid a total of $706 for his accommodation in Seoul, South Korea. He will be spending 7 nights at his hotel.
a) Write an equation to help Marino figure out how much money he was charged in fees.
b) Determine the amount of money he was charged for fees.
Answers
Answer:
$4942
Step-by-step explanation:
a.A day accommodation=$706
7 days accommodation=$706x7days
Answer=$4942
b
Before he started washing windows on weekends, Rob had $20. He earned $60 over each of the first three weekends that he spent washing windows. So far, Rob has not spent any of his money.
If n represents a whole number less than or equal to 3, which function shows the total amount of money Rob had after n weekends of washing windows?
answer choices
A. t(n) = 20 + 60n
B. t(n) = 60 + 20n
C. t(n) = 200n
D. t(n) = 200
Answers
Answer:
A. t(n) = 20 + 60n
Step-by-step explanation:
Since Rob already had $20, the equation should have +20 to represent the money he already had.
60n can represent how much money Rob gets after washing windows, since he earned $60 from each weekend he washed windows.
So, A is the correct answer, t(n) = 20 + 60n
Mother had 2/3 of a pound of sugar. She used ¼ of it to make a cake. How much sugar did she use?
Answers
Answer:
1/6 lb
Step-by-step explanation:
2/3 * 1/4 = 2/12 = 1/6
Which of the following is not a reason used in this proof?
A) Definition of perpendicular
B) Vertical angles are equal
C) Reflexive
Answers
Answer:
Reflexive
Step-by-step explanation:
Because C and D are right angles. That’s def of perpendicular. I’m not sure about the vertical angles but it’s shown in the proof
Answer:
Reflexive
Step-by-step explanation:
What is the slope of the line? i-Ready Lesson Linear Equations and Slope Level H
Answers
Answer:
Slope of the line = 2
Step-by-step explanation:
Slope of a line through two points lying on the line [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the figure attached,
Given line is passing through two points (0, 1) and (1, 3).
Therefore, slope of the line will be,
Slope = [tex]\frac{3-1}{1-0}[/tex]
= 2
The slope of the line given in the graph is -0.5.and this can be determined by using the point-slope form and slope-intercept form.
Given :
The graph of the line.Points - (0,1) and (0.5,0)To determine the slope of the line, the point-slope form can be used. The point-slope form is given by:
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.
Now, put the values of the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above equation.
[tex]\dfrac{y-1}{x-0}=\dfrac{0-1}{0.5-0}[/tex]
0.5(y - 1) = -x
[tex]y = -\dfrac{1}{2}x +1[/tex]
Now, compare equation (1) with the slope-intercept form of the line.
m = -0.5
c = 1
So, the slope of the line is -0.5.
For more information, refer to the link given below:
https://brainly.com/question/2263981
suppose an egyptian mummy is discovered
Answers
Until ...
A group of 5 high school students, Emily, Valeria, John, Jaden, and a nerd named James were hiding in the high school basement while the mummy haunted everybody and after it did and left to bring its ancestors ... they all came out ... saw that the world was ruined ... they knew what was coming ... can they stop it? They wondered. “We shall try” said Jaden. The team sets out to find a way to save their people and end this Egyptian, time traveler, wrapped in toilet paper mummy.
Haha sorry ...
What is 15% of 40?
02
О 4
05
06
Answers
Answer:
6
Step-by-step explanation:
Multiply 40 by 15%, or 0.15.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{15}{100} \times 40 = \\ [/tex]
[tex] \frac{15 \times 40}{100} = \\ [/tex]
[tex] \frac{600}{100} = 6 \\ [/tex]
Thus 15% of 40 is 6 .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
subtracting 1 to the product of 5 and x gives the same value as adding 10 to the product of 3 and x. what value of x makes the statement true ?
Answers
Answer:17
Step-by-step explanation: You just follow the steps.
Subtract (3x + 5) - (x + 2)?
Answers
Answer:
2x+3
Step-by-step explanation:
Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The results are shown in the table below. Highest Level of Education Completed Education Level Percentage High School 5% Community College 10% Four-Year College 60% Graduate School 25% Two-hundred sixty people completed the survey. How many of those people completed graduate school?
Answers
Answer: 65 people completed graduate school.
Step-by-step explanation:
25% of 260 is 65.
Answer:
is 65
Step-by-step explanation:
Got 26 wrong on test
A 0.30 kg bird flies in a horizontal curve of radius 20 m at 15 m/s. The force exerted by the air on the bird is about
Question 3 options:
a)
1.7 N
b)
3.48 N
c)
zero
d)
2.9 N
e)
4.5 N
Answers
Answer:
b) 3.48 N approx.Step-by-step explanation:
The bird will experience a centripetal force, this is the force exerted on a body that moves through a curve path.
[tex]F_c = \frac{mv^2}{r}[/tex]
Fc=centripetal force
m=mass
v=velocity
r=radius
Step one:
given data
mass of bird m=0.3kg
the radius of curve r= 20m
velocity v= 15 m/s
Substituting we have
[tex]F_c = \frac{0.3*15^2}{20}\\\\F_c= \frac{0.3*225}{20}\\\\ F_c=\frac{67.5}{20}\\\\F_c=3.37N[/tex]
The force is 3.37N
FINANCE
2. Which of the following statements is FALSE?
A. Common stockholders have an upper limit on their dividends
B. Preferred stockholders are more protected from risk than common stockholders.
C. Common stockholders own the firm and are among the last to be paid in the event of bankruptcy.
D. Preferred stockholders are
Answers
Answer: I think its C
Step-by-step explanation:
If 2 pounds of grapes cost $6. 1 pound cost $3. How many pounds will equal $1?
Answers
Answer:
.5 pounds I believe
Step-by-step explanation:
I hope this helps!!!
And 1 pound = $3
1/3 of a pound would =$1
Find the system of inequalities which represents the shaded region on the coordinate plane.
A)y> 2x² + x and y> 1 + x
B)y > 2x² + x and y> 1 - x
C)y> 2x²- x and y> 1 + x
D)y > 2x² - x and y > 1 - x
Answers
Answer:
given, y≥2x+1 and
y>
2
1
x−1
first, draw the graph for equations y=2x+1 and y=
2
1
x−1
for y=2x+1
substitute y=0 we get, 2x+1=0⟹x=−0.5
substitute x=0 we get, y=1
therefore, y=2x+1 line passes through (0.5,0) and (0,1) as shown in fig.
Hence, y≥2x+1 includes the region above the line.
for y=
2
1
x−1
substitute y=0 we get,
2
1
x−1=0⟹x=2
substitute x=0 we get, y=−1
therefore, y=2x+1 line passes through (2,0) and (0,-1) as shown in fig.
Hence, y>
2
1
x−1 includes the region above the line.
the intersection region is the shaded region as shown in above figure which includes I, II and III quadrants.
Therefore, quadrant IV has no solution please make as brainlelist