Identify all of the square roots of perfect squares in the list below. Select all that apply. A) √25 B) √36 C) √50 D) √144 E) √200 F) √362

Answers

Answer 1

Answer:

The square roots of perfect squares in the list are:

A) √25 = 5 B) √36 = 6 D) √144 = 12

The other numbers © √50, E) √200, and F) √362 are not square roots of perfect squares. Therefore, the correct answers are A, B, and D.

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Hirva ate 5-.8 of a medium pizza.elizabeth ate 1-.4.how much pizza did they eat together

Olivia and her friends went to a movie at 1:50 P.M. The movie ended at 4:10 P.M. How long was the movie?

Answers

Answer: The movie was 2 hours and 20 minutes long.

Step-by-step explanation:

basic adding + subtracting

In order to join an online learning community, there is there is a $20 startup fee and $5 monthly fee. Write an equation in slope-intercept form that model this situation

Answers

Answer:

y = 5x + 20

Step-by-step explanation:

Answer:

Y=5x+20

Because 20 is a fee that is in constant value and shouldn't be correlated with the amount of months using the subscription. 5 is the amount charged every month you keep the subscription. Y is outcome of cost, and x is the amount of months.

If f(x) = 8 - 5x, find f(3) *

Answers

Answer:

Step-by-step explanation:

f(3)= 8-5(3)

=8-15

=-7

The graph shows the functions f(x), p(x), and g(x):Part A: What is the solution to the pair of equations represented by p(x) and f(x)?

Part B: Write any two solutions for f(x).

Part C: What is the solution to the equation p(x) = g(x)? Justify your answer.

Answers

The function f(x) is:

f(x)=x

This is because the line f(x) passes through the points (-1,-1), (0,0), (1,1) etc.

The function p(x) is:

p(x)=mx+C

Whereby (m) is the slope and (C) is a constant.

m=-4/3, as m=tan(ω)=O/A=-4/3 as slope is negative.

Now when y=-3, x=-3.

So:

-3=-4/3 *(-3) +C

-3= 4 + C

C=-7

This means that:

p(x)=-4/3x -7

Now, where p(x)=g(x), x=-6.

p(-6)=-4/3 * (-6) -7

p(-6)=24/3 -7

p(-6)=8-7

p(-6)=1

Therefore:

p(x) and g(x) meet at (-6, 1) and the solution to p(x)=g(x) is x=-6.

A home builder needs to cover the rectangular floor of a closet with carpet. The closet is 5 yards long and 3/4 of a yard wide. How much carpet will the home builder need to cover the closet? (PLEASE HELP?)

Answers

Answer: 3 3/4s' carpets

Step-by-step explanation:

Dahlia is trying to decide which bank she should use for a loan she wants to take out. In either case, the principal of the loan will be $19,450, and Dahlia will make monthly payments. Bank P offers a nine-year loan with an interest rate of 5.8%, compounded monthly, and assesses a service charge of $925.00. Bank Q offers a ten-year loan with an interest rate of 5.5%, compounded monthly, and assesses a service charge of $690.85. Which loan will have the greater total finance charge, and how much greater will it be? Round all dollar values to the nearest cent.a.
Loan Q’s finance charge will be $83.73 greater than Loan P’s.
b.
Loan Q’s finance charge will be $317.88 greater than Loan P’s.
c.
Loan P’s finance charge will be $20.51 greater than Loan Q’s.
d.
Loan P’s finance charge will be $234.15 greater than Loan Q’s.

Answers

To solve this, we are going to use the loan payment formula: $P= ( (r)/(n)(PV))/(1-(1+ (r)/(n))^(-nt) )$

where

$P$ is the payment

$PV$ is the present debt

$r$ is the interest rate in decimal form

$n$ is the number of payments per year

$t$ is the time in years

For Bank P

We know from our problem that the the principal of the loan will be $19,450, so $PV=19450$ . We also know that Bank P offers a nine-year loan with an interest rate of 5.8%, compounded monthly , so $t=9$ and $r=(5.8)/(100) =0.058$ . Since Dahlia will make monthly payments, and a there are 12 months in a year, $n=12$ . Lets replace the values in our formula:

$P= ( (r)/(n)(PV))/(1-(1+ (r)/(n))^(-nt) )$

$P= ( (0.058)/(12)(19450))/(1-(1+ (0.058)/(12))^(-(12)(9)) )$

$P=231.59$

Now we know that the monthly payment of Dahlia is $231.59. Since we know that she is going to make 12 monthly payments for 9 years, we can calculate the future value of the loan multiplying the amount of the monthly payments ($231.59) by the number of monthly payments (12) by the number of years (9):

$FV=(231.59)(12)(9)$

$FV=25011.72$

Now we know that she is is going to pay $25,011.72 for her loan. Finally, to calculate the total finance charge, we are going to subtract the original loan ( $19,450) from the future value of the loan ($25,011.72), and then, we are going to add the service charge ($925.00):

$FinanceCharge=(25011.72-19450)+925$

$FinanceCharge=6486.72$

The total finance charge of bank P is $6,486.72

For Bank Q

We are going to repeat the same procedure as before.

$P=19450$ , $r=(5.5)/(100) =0.055$ , $n=12$ , and $t=12$ . Lets replace the values in our formula:

$P= ( (0.055)/(12)(19450))/(1-(1+ (0.055)/(12))^(-(12)(10)) )$

$P=211.08$

Now that we have our monthly payment, we can calculate the future value of the loan multiplying the amount of the monthly payments ($211.08) by the number of monthly payments (12) by the number of years (10):

$FV=(211.08)(12)(10)$

$FV=25329.6$

Just like before, to calculate the total finance charge, we are going to subtract the original loan ( $19,450) from the future value of the loan ($25,329.6), and then we are going to add the service charge ($690.85):

$FinanceCharge=(25329.6-19450)+690.85$

$FinanceCharge=6570.45$

The total finance charge of bank Q is $6570.45

Notice that the finance charge of ban Q is greater than the finance charge of bank P, so we are going to subtract the finance charge of bank Q from the finance charge of bank P:

$6570.45-6486.72=83.73$

We can conclude that Loan Q’s finance charge will be $83.73 greater than Loan P’s. Therefore, the correct answer is a.

Answer:

a. Loan Q’s finance charge will be $83.73 greater than Loan P’s.

Step-by-step explanation:

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