Answer:
Gabriella will make $61 more than Mila after 5 years
Step-by-step explanation:
Gabriella Data
Principal Amount P= $73,000
Rate r = 3% or 0.03
Compounded continuously
Time t = 5 years
The formula used is: [tex]A=Pe^{rt}[/tex]
Putting values and finding A
[tex]A=Pe^{rt}\\A=73000e^{0.03*5}\\A=73000e^{015}\\A=84813.899\\A\approx84814[/tex]
So, After 5 years Gabriella will have $84814
Mila Data:
Principal Amount P= $73,000
Rate r = 3% or 0.03
Compounded quarterly n = 4
Time t = 5 years
The formula used is:[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=73000(1+\frac{0.03}{4})^{4*5}\\A= 73000(1+0.0075)^{20}\\A= 73000(1.0075)^{20}\\A=73000(1.161)\\A=84753[/tex]
So, After 5 years Mila will have $84753
Now subtracting to find the difference 84814-84753 = 61
So, Gabriella will make $61 more than Mila after 5 years
In how many ways can a store select 2 assistant managers out of 6 assistant managers to open and close the store?
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
6/2=3
In a two-factor experiment with 2 levels of factor A and 2 levels of factor B, three of the treatment means are essentially identical and one is substantially different from the others. What result(s) would be produced by this pattern of treatment means?a. a main effect for factor Ab. a main effect for factor Bc. an interaction between A and Bd. The pattern would produce main effects for both A and B, and an interaction
Answer:
The pattern would produce main effects for both A and B, and an interaction
Step-by-step explanation:
When there is a two factor experiment having two types of level of factor A and the two level of factor B also the three of the treatment that are similar and the one is totally distinct from the others
So here the treatment pattern would be the pattern in which the important and main impact would be generated for both A and B and then an interaction
hence, the last option is correct
An adult elephant that is 10 ft tall casts a shadow that is 15 ft long. Find the length of the shadow that is a 8 ft telephone booth casts.
A. 7ft
B. 12 ft
C. 23 ft
D. 5 ft
Answer:
12 feet long bc of cross multiplying then dividing the product by 10 which gives you 12!
2 cm
2 cm
2 cm
2. a. Decide if each number on the list is a perfect square.
A. 16
E. 125
b. Write a sentence that explains your reasoning.
B. 20
F. 144
C. 25
G. 225
D. 100
H. 10,000
Answer:
Following are the solution to the given question:
Step-by-step explanation:
In question a:
[tex]\to 16= 4^2[/tex] is a perfect square.
[tex]\to 125 = 5^3[/tex] is not a perfect square
In question b:
[tex]\to 20 = 2 \times 2 \times 5[/tex], not a perfect square.
[tex]\to 25 = 5^2[/tex] is a perfect square .
[tex]\to 100 = 10^2[/tex] is a perfect square .
[tex]\to 125[/tex] is not a perfect square, its nearest perfect square is[tex]121 = 11^2 .[/tex]
[tex]\to 144 = 12^2[/tex] is a perfect square .
[tex]\to 225 = 15^2[/tex] is a perfect square .
[tex]\to 10,000 = 100^2[/tex] is a perfect square .
To compare investments, analysts convert monthly, quarterly, semiannual rates to annual rates. If an investment of $100,000 is invested at 4.5% twice a year, compounded semiannually, the growth can be modeled by the equation A(t) = 100,000(1.045)2t. What is the equivalent annual growth rate for this investment (rounded to the nearest hundredth of a percent) and what is it worth (rounded to the nearest thousand dollar) after 15 years?
2.23% and $139,000
15.01% and $194,000
9.21% and $375,000
9.01% and $364,000
Please help. I don’t really understand this topic and I’m having trouble with this question
Answer: 2nd one trust me
Step-by-step explanation:
What is the range of the function represented by the table?
A 2-column table with 5 rows. Column 1 is labeled x with entries 2, 4, 6, 8, 10. Column 2 is labeled y with entries 2.5, 5.0, 7.5, 10.0, 12.5.
{2, 4, 6, 8, 10}
{2.5, 5.0, 7.5, 10.0, 12.5}
{2, 2.5, 4, 5.0, 6, 7.5, 8, 10, 12.5}
{0.0, 0.5}
Answer:
{2.3, 5.0, 7.5, 10.0, 12.5} Option b
Step-by-step explanation:
Domain is the input values and the range is the output values. The y values.
Answer:
b
Step-by-step explanation:
Charlie's utility function is U(A, B) = AB, where A and B are the numbers of apples and bananas, respectively, that he consumes. When Charlie is consuming 20 apples and 80 bananas, if we put apples on the horizontal axis and bananas on the vertical axis, the slope of his indifference curve at his current consumption is:____________a. -8.b. -1/4.c. -20.d. -4.e. -1/8.
Answer:
D. -4
Step-by-step explanation:
The formula for calculating the slope of his indifference curve at his current consumption is expressed as:
M = -∆y/∆x
∆y is the change in y axis
∆x is the change in x axis
Since apples are put in the horizontal axis, ∆x = 20
Since banana are on the y axis, then ∆y = 80
Substituting the given values into the formula
M = -80/20
M = -8/2
M = -4
Hence the slope of his indifference curve at his current consumption is -4.
Option D is correct.
Find the slope of the line containing the points (7,5) and (9,5).
Answer:
[tex]\frac{2}{4}[/tex]
Step-by-step explanation:
Remember that in order to find the slope of two points you need to substitute the variables and subtract making sure you keep the 2's and the 1's together.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Plugin your numbers:
[tex]=\frac{7-5}{9-5}[/tex]
[tex]7-5=2[/tex]
[tex]9-5=4[/tex]
[tex]=\frac{2}{4}[/tex]
Hope this helps.
help would be really nice, this is timed.
solve the equation in the image below
Answer:
below
Step-by-step explanation:
the 8 is basically x sooooo
f (8) = 8+11
f(x) = 19
Keeping the properties of exponents in mind, to what power must you raise the expression 7; to get 7 as the
result?
1. Express 0.00456 in standard form.
Answer:
Writing a number in standard form simply means to express the number in its 'normal' form. Therefore, your example is written in standard form.
Answer: 4.56 x 10^-3
Step-by-step explanation: To convert scientific notation to standard form, all you have to do is move the decimal to the left or the right until you get a number that is more than 1 and less than 10, then count however many spaces you had to move and add that as your exponent over 10 (if you move left, the exponent is positive, and right is negative). Basically, this just lets you know that the actual number is that many times smaller or larger than the number in your answer.
(a) At Garcia's Bike Rentals, it costs $36 to rent a bike for 9 hours.
How many hours of bike use does a customer get per dollar?
hours per dollar
Answer:
15 mins per dollar
Step-by-step explanation:
how many minutes are their in 9 hours?
540 minutes
so, we divise 540 to 36
this results to 15.
this means, you get 15mins per dollar
Do you guys know this.
Answer:
0.77
Step-by-step explanation:
You solve the inner first, then move to the outer.
Plug in x = 20 for g(x) = [tex]\frac{2x+2}{x-6}[/tex]. It should give you [tex]\frac{42}{14}[/tex], which simplifies to 3.
You then need to solve f(x) with the given value from g(x), which is 3.
Plug in x = 3 for the equation [tex]\sqrt{0.4x^2-x}[/tex], and you should get [tex]\sqrt{0.6}[/tex].
The answer is roughly 0.77.
00:0
A toy shop purchases 125 identical stuffiedi animals for a total cost of $312.50 and sells them for $7 each
What is the percent markup?
%
Answer:
They marked it up 30 cents
Step-by-step explanation:
you do 312.50 divided by 125. Then you get 2.50. Then you multiply 7 times 125 then you get 2.80. Finally you do 2.80 minus 2.50 which equals 30 cents.
Last weekend, nina mowed lawns and received $60. This weekend she mowed 6 lawns and received $90. what is the constant of proportionality?
Answer:
$15
Step-by-step explanation:
It is given that,
Last weekend, Nina mowed 4 lawns and received $60. This weekend she mowed 6 lawns and received $90.
We need to find the constant of proportionality.
First we can find the money received when she mowed 1 lawn for last weekend.
4 lawns = $60
1 lawn = $15
Then, we will find the money received when she mowed 1 lawn for this weekend.
6 lawns = $90
1 lawn = $15
Hence, the constant of proportionalityis $15.
A seed is planted 2 inches below the ground.
The plant grows 6 inches from the seed.
How tall is the plant above the ground?
Answer:
4
Step-by-step explanation:
its planted 2 inches below the ground and it grows 6 from the seed. it has to grow 2 inches to meet the surface of the dirt the remaining is above. therefore 6-2= your answer
From Allen (1990, 113, 162). The interactive computer system at Gnu Glue has 20 communication lines to the central computer system. The lines operate independently and the probability that any particular line is in use is 0.6. () What is the probability that 10 or more lines are in use? Compare the exact binomial solution and the normal approximation solution to this problem. (ii) Do the assumptions needed for the normal approximation make sense?
Answer:
Binomial = 0.8724
Normal approximation = 0.873
Step-by-step explanation:
Given that :
Sample size (n) = 20
p = 0.6
q = 1 - p = 1 - 0.6 = 0.4
.using normal approximation :
Mean = np
Mean (m) = 20 * 0.6 = 12
Standard deviation (s) = √npq
s = √(20 * 0.6 * 0.4) = 2.1908902
Probability of 10 or more lines in use :
p(x ≥ 10)
Applying for correction:
p(x ≥ 10 - 0.5) = p(x ≥ 9.5)
Using the z formula :
Z = (x - m) / s
Z = (9.5 - 12) / 2.1908902
Z = - 1.141
p(Z > - 1.141) = 0.87307 (Z probability calculator)
p(Z > - 1.141) = 0.873
Using the binomial distribution :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
p(x ≥ 10) = p(x = 10) + p(x = 11) +.... + p(x = 20)
Using calculator :
p(x ≥ 10) = 0.87247
= 0.873
According to a zoologist's study, the equation yˆ=0.1651x+149.5738 models the weight of a baby giraffe, in pounds, during the giraffe's first 1000 days, where x is the number of days since birth.
According to this regression equation, what is the approximate weight of a baby giraffe 425 days after birth?
about 70 lb
about 105 lb
about 215 lb
about 220 lb
Answer:
220
Step-by-step explanation:
Answer:
220 lbs
Step-by-step explanation:
I took the test.
whats inequalities ?
Answer:
An equation looks something like this: 4x2=8
In an equation each value on the opposite side of the equal sign is equal unless its unsolved and u need to solve it.
In an inequality, a <, >, ≥ or ≤ separates 2 values that are unequal. < is a less than sign, > is a greater than sign and so on and so forth. An inequality gives all possible answers for an equation. For example 3x+2≤ 8 is showing us that 3x+2 is any value below or equal to 8. ≤ is a less than OR equal too sign.
in the equation 4x-5≤15 the inequality is showing us that 4x-5 is every possible value below or equal to 20. So an answer could be 19, 18, -5, 7 and basically every number below or equal to 20.
Step-by-step explanation:
1. In the figure shown, e1 || 12. If m<3 = 83,
a. Determine the measures of the other seven angles in the figure
118
27
316
45
x Clear
Undo
- Redo
m <1 =
m <2 =
1
m <3 = 830
m <4=
m <5 =
m <6 =
m <7=
m <=
b. Choose one of the angle measures you found and justify your answer.
Answer/Step-by-step explanation:
Given:
m<3 = 83°
The following are the angle measures of the seven angles including the justification of each answer.
m<1 = m<3 (corresponding angles are congruent)
m<1 = 83° (substitution)
m<2 + m<3 = 180° (same side consecutive interior angles are supplementary)
m<2 = 180° - m<3 (Subtraction property of equality)
m<2 = 180 - 83
m<2 = 97°
m<4 + m<3 = 180° (linear pair)
m<4 = 180 - m<3 (Subtraction property of equality)
m<4 = 180 - 83 (substitution)
m<4 = 97°
m<5 = m<3 (vertical angles are congruent)
m<5 = 83°
m<6 = 180° - m<3 (linear pair theorem)
m<6 = 180 - 83°
m<6 = 97°
m<7 = m<3 (alternate interior angles are congruent)
m<7 = 83°
m<8 = m<6 (corresponding angles are congruent)
m<8 = 97°
Five country music bands and 3 rock bands are signed up to perform at an all-day festival. How many different orders can the bands play in if the following conditions apply?
(a) there are no restrictions on the order
(b) all the bands of each type must perform in a row
Answer: A) 40320
Step-by-step explanation:
In a sample of 57 temperature readings taken from the freezer of a restaurant, the mean is 29.6 degrees and the population standard deviation is 2.7 degrees. What would be the 80% confidence interval for the temperatures in the freezer?
Answer:
(29.14 ; 30.06)
Step-by-step explanation:
Given that'
Sample size (n) = 57
Mean (m) = 29.6
Population standard deviation (σ) = 2.7
Confidence interval = 80%
= (1 - 0.8) / 2 = 0.1
Mean ± z * σ/√n
Using the Z probability calculator : Z0. 1 = 1.28
Hence,
29.6 ± 1.28 * (2.7 / √57)
29.6 - (1.28 * 0.3576237) ; 29.6 + (1.28 * 0.3576237)
29.142241664 ; 30.057758336
(29.14 ; 30.06)
What is the length of AC?
Round to one decimal place.
4.3
D
?
4.1
8
A
B
5.3
Answer:
5.5
Step-by-step explanation: :D
Find an explicit description of Nul A by listing vectors that span the null space.
A=[ 10 3 1 5 4 0 −2 ]
Answer:
The answer is "[tex]\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] , \left[\begin{array}{c}-6&2&0&1\\\end{array}\right][/tex]"
Step-by-step explanation:
Given value:
[tex]A= \left[\begin{array}{cccc}1&3&5&0\\0&1&4&-2\\\end{array}\right][/tex]
First you find the general Ax = 0 solution for the free variables.
[tex][A \ \ \ 0]= \left[\begin{array}{cccc}1&3&5&0\\0&1&4&-2\\\end{array}\right]\\\\ R_1\to R_1-3R_2\\\\= \left[\begin{array}{ccccc}1&0&-7&6&0\\0&1&4&-2&0\\\end{array}\right][/tex]
Its general solution is:
[tex]x_1 = 7x_3-6x_4,\ \ x_2=-4x_3+2x_4 \ \ with\ \ x_3, and \ x_4\ free. \ So,[/tex]
[tex]x=\left[\begin{array}{c}x_1&x_2&x_3&x_4\\\end{array}\right] = x_3\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] + x_4\left[\begin{array}{c}-6&2&0&1\\\end{array}\right][/tex]
Null A is: [tex]{\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] , \left[\begin{array}{c}-6&2&0&1\\\end{array}\right] }[/tex]
The fire department has seen an increase in smoke detector sales since 2015. In 2015,
they sold 350 detectors which is up from the previous year by 105%. How many did they
sell in the previous year?
Answer:
Step-by-step explanation:
Given the amount of detectors sold in the current year = 350
percent increment = 105%
To get the amount sold the previous year, we will use the expression;
(105% of x) + x = 350
1.05x = 350 + x
1.05x + x = 350
2.05x = 350
x = 350/2.05
x = 170.7
Hence the amount sold the previous year was 170.7 detectors
Find the unit rate and slope of the graph (ignore what I put down)
Answer:
slope: 5/7
0.714 mile per hour
Step-by-step explanation:
slope: find the point where the line is right on the line graph, put y/x which is 10/14 make the fraction smaller which is 10/14 = 5/7(I divide the denominator and nominator by 2)
Mile per hour: 5/7 cross multiply with x/1, make into an equation:
7x=5 x 1
7x = 5
x = 0.714
which model represents a fraction greater than 3/5?
Answer:
The last one is your answer :))
Step-by-step explanation:
Answer:
Blue circle.
Step-by-step explanation:
I hope it helps, if my answer is correct, please give BRAINLEST!
The students in Robbie's grade voted for a class field trip. 80% of the students
voted for the zoo. If there are 240 students in Robbie's grade, how many
students voted for the zoo?
220
192
144
200
Answer:
I believe it's 192
Step-by-step explanation:
whats the y-intercept of y= 1/3 x-1y
Answer:
(0, 0)
Reasoning:
Y-intercept means set x to 0 and solve, therefore;
[tex]y=1/3(0) -1y[/tex]
[tex]y=0-1y[/tex]
[tex]2y=0[/tex]
[tex]y=0/2=0[/tex]
Thus, the y-intercept is (0,0)
I hope this helps you and good luck!