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ANTONII [103]
2 years ago
12

Given that

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
4 0
Your answer should be -50
hope this helps
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1. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the a
Rudik [331]

Answer:

Part A) \$42,888.48  

Part B) A=\$22,304

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  

A=P(1+\frac{r}{n})^{nt}  

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  

t=20\ years\\ P=\$8,500\\ r=0.0812\\n=12  

substitute in the formula above  

A=8,500(1+\frac{0.0812}{12})^{12*20}  

A=8,500(1.0068)^{240}  

A=\$42,888.48  

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

we know that

The simple interest formula is equal to

A=P(1+rt)

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

t=20\ years\\ P=\$8,500\\r=0.0812

substitute in the formula above

A=8,500(1+0.0812*20)

A=\$22,304

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

A(t)=8,500(1.0068)^{12t} ------> equation A

A(t)=8,500(1+0.0812t)  -----> 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.

5 0
3 years ago
PLEASE HURRY IM TIMED Andy drove 102 miles on Monday morning. This was
konstantin123 [22]

Answer:

420

Step-by-step explanation:

6 0
3 years ago
Plzzzzz help Me I'm not smart
MAVERICK [17]

Answer:

(3X8) - 4 + 2 - 12

Step-by-step explanation:

Following the order of operations solve:

(24) - 4 + 2 - 12

20 + 2 - 12

22 - 12

10

Don't feel bad, this is an odd question and the parenthesis do not seem to be required. Following the order of operations would result in the same answer anyway...

Odd.

3 0
3 years ago
Read 2 more answers
A rectangle is 12.5 m wide and 18.24 m long.
strojnjashka [21]
The answer is
D. 228.00 m2
I hope i helped
4 0
3 years ago
Read 2 more answers
Please help me with this math problem!! Will give brainliest!!
Vlad1618 [11]
In this question, the given functions are

And we have to find the value of

Which is equal to

So we have to subtract the two functions that is

Correct option is the second option .


This is wrong DONT use it
8 0
2 years ago
Read 2 more answers
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