Find the measure of c. (1 27 O A. 31.6 B. 27 C. 63 D. 126

Find the value for the variable expression p + 5 when p = 2.

sweet [91]

Replace all the variables with their values. In this case, we know the value of the variable p.

Now the expressions p + 5 becomes 2 + 5.

2 + 5 = 7

So, C. 7 is the answer.

7 0

3 years ago

Read 2 more answers

Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and

serious [3.7K]

The Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

$A=P\left(1+\dfrac{R}{n\times100}\right)^{nt}$

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly.

Put this values in the above formula as,

$A=8470\left(1+\dfrac{7.5}{12\times100}\right)^{12\times4}\\A=11422.6348$

For the four years, the monthly payment is,

$m=\dfrac{11422.6348}{12\times4}\\m=237.97$

The monthly payment of unsubsidized loan is $237.97.

The monthly payment of subsidized loan is $202.80.

The difference between the unsubsidized and subsidized loan monthly payment is,

$d=237.97-202.80\\d=35.17\\d\approx 35.05$

Thus, the Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

Learn more about the compound interest here;

brainly.com/question/24274034

8 0

2 years ago

Please help :) this is exponential decay 10 pts

VMariaS [17]

$50.00 after 0 months and $37.50 after 6 months.
We first must calculate half-life using the attached formula.
Half-Life = (time * ln(2)) / ln (beginning amount/ending amount)
Half-Life = (6 * 0.69314718056) / ln (50.00 / 37.50)
Half-Life = ( 4.1588830834 ) / ln ( 1.3333333333 )
Half-Life = ( 4.1588830834 ) / 0.28768207245
Half-Life = 14.456525038 months

Now we need to calculate "lambda"
lambda = ln(2) / half-life
lambda = 0.69314718056 / 14.456525038
lambda = 0.0479470121 

Next we have to use this formula:
Ending Amount = beginning amount • e^( -lambda • time )
(where "e" is the mathematical constant 2.718281828...)
Ending Amount = 50 * 2.718281828^(-0.0479470121*24 months)
Ending Amount = 50 * 2.718281828^(-1.1507282904)
Ending Amount = 50 * 0.3164062499 
Ending Amount = 15.82 dollars

**********************************************************************
As a DOUBLE-CHECK we can work this out every 6 months:

0 months $50
6 months = $50 - (50 *.25) = 37.50
12 months = $37.50 -(37.50 *.25) = 28.125
18 months = $28.125 -(28.125 * .25) = 21.09375 
24 months = $21.09375 -(21.09375 * .25) = 15.8203125 

You'll find this page quite helpful:
http://www.1728.org/halflif2.htm