Suppose that you have just graduated with $30,000 in student loan debt, at 9% annual interest, compounded monthly. You must make a payment at the end of each month, and willbe finished paying off the loan at the end of 10 years. a. How much is each payment?
b. How much money, in total, will you end up paying by the time you have paid off the loan?
c. How much of what you will end up paying is interest?
d. [Just to think about, not to hand in: How painful is the answer to part c of this question?]

Step-by-step explanation:

Principal amount = 30,000

I = 9% is compounded monthly ⇒ 0.09/12 = 0.0075

n= 10 years ⇒ 10* 12 = 120 periods

Formula for decreasing annuity payments is R =[ I/[1 - (1+I)^(-n)]] * P

R = 0.0075/[1 -  1.0075^(-120)] * 30,000 = $380, amount of each payment

Total amount paid is = 380*12*10 = 45600

Interest paid = Total amount - loan amount = 45600 - 30000 = 15600

you have orange juice on wednesday. (idk why this is the answer)

step-by-step explanation:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)