Sumaya is considering investing $8500 into the bank. Bank A offers 2.25% interest rate compounded semiannually. Bank B offers 1.75% interest compounded monthly. She is planning on leaving the money in the account for 5 years until she goes to college.

Which bank should Sumaya go with and how much more will she make at that bank in the five years?

A. Bank A - she will make $1341.56 more

B. Bank B - she will make $1341.56 more.

C. Bank A - she will make $230.02 more.

D. Bank B - she will make $230.02 more.

9514 1404 393

  C. Bank A - she will make $230.02 more.

Step-by-step explanation:

The account balance at each bank can be computed from ...

  A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years.

Bank A

Sumaya's balance after 5 years will be ...

  A = 8500(1 + 0.0225/2)^(2·5) = 9506.14

Bank B

Sumaya's balance after 5 years will be ...

  A = 8500(1 +0.0175/12)^(12·5) = 9276.67

__

The balance at Bank A is larger by ...

  9506.14 -9276.67 = 229.47

The closest answer choice is ...

  C. Bank A - she will make $230.02 more

Comment on the discrepancy

The difference between the offered answer choices and the values computed here arise from the use of rounding in intermediate calculations. We did no rounding until the final answer. The offered choices seem to be rounded to about 8 digits, possibly the consequence of using an inadequate calculator.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc