1. a retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. what will the account be worth in 20 years? what if the deposit were compounded monthly with simple interest? could you see the situation in a graph? from what point one is better than the other?

Part A)  

Part B)

Part C) The graph in the attached figure

Step-by-step explanation:

Part A) What will the account be worth in 20 years?

we know that    

The compound interest formula is equal to  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

substitute in the formula above  

Part B) What if the deposit were compounded monthly with simple interest?  

we know that

The simple interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

substitute in the formula above

Part C) Could you see the situation in a graph? From what point one is better than the other?

Convert the equations in function notation

------> equation A

 -----> equation B

using a graphing tool  

see the attached figure  

Observing the graph, from the second year approximately the monthly compound interest is better than the simple interest.

its c or d   take a lucky guess my dude

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true