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goldenfox [79]
2 years ago
10

Find the amount of money a woman owes at the end of 3 years if 5% interest is compounded continuously on her $2500 debt

Mathematics
1 answer:
stepladder [879]2 years ago
5 0

Answer:

$ 2904.59

Step-by-step explanation:

For CONTINUOUS compounding    FV = PV e^it

FV = future value    PV = present value   i = decimal interest   t = years

FV = 2500 e^(.05 * 3) = 2904.59

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3 years ago
Mavis drives 634 miles to visit her grandmother in philadelphia. How many miles does mavis drive if she visits her grandmother 4
Dmitriy789 [7]

Mavis drives = 634 miles.

Mavis visits her grandmother 4 times.

That means, she drives 634 miles each time when she visits her mother.

One time round trip Mavis's house to her gramdmother in philadelphia = 634 miles.

If she visited 4 times, we can multiply one round trip distance by 4 or we can just add that distance four times.

Let us try it by multiplying 4 by 634 .

If we multiply 4 by 634, we get 2536.

Therefore, 2536 miles Mavis drives if she visits her grandmother 4 times.

8 0
3 years ago
A function is shown below
Scrat [10]

Answer:

  • 13

Step-by-step explanation:

<u>Put input value instead of the x into equation and calculate the output:</u>

  • y = -5x - 7

<u>x = -4, then find the value of y:</u>

  • y = -5(-4) - 7 = 20 - 7 = 13

The output is 13 when the input is -4

6 0
2 years ago
Read 2 more answers
If $64,000 is invested in an IRA account with an annual interest rate of 8% compounded once a year, what is the value of the acc
Iteru [2.4K]

Answer: the value of the account after 6 years is $101559.96

Step-by-step explanation:

If $64,000 is invested in an IRA account, then

Principal = $64,000

So P = 64,000

The rate at which $64000 was compounded is 8%

So r = 8/100 = 0.08

If it is compounded once in a year, this means that it is compounded annually (and not semi annually, quarterly or others). So

n = 1

We want to determine the value of the account after 6 years, this means

time, t = 6

Applying the compound interest formula,

A = P(1 + r/n)^nt

A = amount after n number of years

A = 64000( 1 + 0.08/1)^1×6

A = 64000(1.08)^6

A= 64000×1.58687432294

A= 101559.956668416

Approximately $101559.96 to 2 decimal places

4 0
3 years ago
Write the slope intercept equation of the function f whose graph satisifies the given conditions. The graph of f passes through
MrMuchimi
  • Let's find slope first.

  • (1,-2)
  • (-8,6)

\\ \sf\longmapsto m=\dfrac{6+2}{-8-1}

\\ \sf\longmapsto m=\dfrac{8}{-9}

Slope intercept form

\\ \sf\longmapsto y=mx+b

\\ \sf\longmapsto y=-\dfrac{8}{9}x-2

3 0
3 years ago
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