1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sauron [17]
3 years ago
14

In 2010 a man mailed a $400 check to another man to repay a $400 debt of his great great grandfather who died in 1849. A bank es

timated interest on the loan to be $454 million dollars for the 155 years it was due. Find the interest rate the bank was using assuming the interest is compounded annually.
Mathematics
1 answer:
laiz [17]3 years ago
4 0

Answer:

9.41%

Step-by-step explanation:

Data provided in the question:

Present value of the debt = $400

Interest = $454 million = $454,000,000

Time, n = 155 years

Now,

Future value = Present value of the debt  + Interest

or

Future value = $400 + $454,000,000

or

Future value = $454,000,400

Also,

Using the compounding formula,

Future value = Present value × ( 1 + r )ⁿ

here,

r is the interest rate

Thus,

$454,000,400 = $400 × ( 1 + r )¹⁵⁵

or

( 1 + r )¹⁵⁵ = $454,000,400 ÷ $400

( 1 + r )¹⁵⁵ = 1,135,001

or

1 + r = 1.0941

or

r = 1.0941 - 1

or

r = 0.0941

or

r = 0.0941 × 100% = 9.41%

You might be interested in
Which of the following inequalities orders the numbers
tigry1 [53]

Answer:

0.03, 0.2, 1/4

Explanation:

3 0
3 years ago
Given the following geometric sequence, find the common ratio. {0.45, 0.9, 1.8, ...}
erma4kov [3.2K]
0.45 times what=0.90?
seems to be 2
for
a_n and a_{n+1}, (1 term and the next)
common ratio=\frac{a_n}{a_{n+1}}
0.45 and 0.9
0.9/0.45=2
common ratio is 2
6 0
3 years ago
Read 2 more answers
Two trains leave towns 471 miles apart at the same time and travel toward each other. One train travels 21 miles per hour slower
nadya68 [22]

Let the slower train's velocity be x-21

Let the faster train's velocity be x

We know that the approach speed is the sum of both speeds, so x+x -21= 2x-21.

The approach rate is given by Distance/time = 471/3 = 157mpH

x+x-21=157

2x=157+21

2x=178

x=89mph

The slower train is travelling 89-21 = 68mph

The faster train is travelling 89mph.

7 0
1 year ago
The owner of a local farm sells baskets of fresh tomatoes in the summer time. Each basket is priced according to its mass rounde
elixir [45]

Answer:

4 1/10 kg

Step-by-step explanation:

To find the total mass, we add the mass of the three baskets

1 1/10 + 1 3/10 + 1 7/10

Since they have the same denominator

 1   1/10

 1   3/10

 1   7/10

-------------

 3  11/10

Change the improper fraction to a mixed number

11/10 = 1 1/10

3 + 1 1/10

4  1/10

7 0
3 years ago
What is 15% of 90? ..............​
mars1129 [50]

Answer:

13.5

hope it helpeddddd

:P

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • Quanto é 1 dividido por 20?
    12·2 answers
  • You are on vacation in Canada. Canada also uses the dollar for currency. The exchange rate is 1 U.S. Dollar is equal to 1.33 Can
    9·1 answer
  • A keep tossing a fair coin, until he get 2 consecutive heads, define x to be the number of tosses for this process; b keep tossi
    9·1 answer
  • HELLPPPPPPPPPPPPPPPPPPP
    11·1 answer
  • Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your ans
    15·1 answer
  • Directions: Fill in all blank spaces in the table. Show all work below the table or on a separate sheet of paper. If needed, rou
    7·1 answer
  • PLSSSSS HELP ASAP PLSSSS !!!
    5·2 answers
  • 7) Samantha has saved $100 to buy a new laptop. Each month, she saves $15 towards the laptop. What expression could be used to f
    10·1 answer
  • If it costs $1.40 per square foot to install the garden, what is the cost for plan A? Plan B
    11·1 answer
  • Pls helppppppppp!!!!!!!!!! (Jesus loves u)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!