An investment of $2,500 is made for 4 months at an annual simple interest rate of 3.75%. Determine the following values. (For the first answer blank, enter an exact number. For the second answer blank, enter a number. For the third answer blank, enter an exact number as an integer, fraction, or decimal.)

P = $
r =
t =

Find the amount of interest earned (in dollars) on this loan. (Enter a number.)
I = $

Calculate the future value (in dollars) of this loan. (Enter a number.)
$

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

P represents the principal or amount invested.

R represents interest rate

T represents duration of the investment in years.

From the information given,

P = 2500

R = 3.75

There are 12 months in a year, so

T = 4/12 = 4/12

Therefore, the amount of interest earned on this loan is

I = (2500 × 3.75 × 4) 100 × 12

I = 37500/1200 = $31.25

The future value of this loan would be

2500 + 31.25 = 2531.25

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1