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Lynna [10]
3 years ago
8

You want to have $200,000 when you retire in 25 years. If you can earn 3% interest rate compounded continuously, how much would

you need to deposit now into the account to reach your retirement goal?
Mathematics
1 answer:
mash [69]3 years ago
5 0

9514 1404 393

Answer:

  $94,473.31

Step-by-step explanation:

The multiplier in 25 years is ...

  e^(rt) = e^(0.03·25) = e^0.75 ≈ 2.117

To have an account value of $200,000 in 25 years, you need to deposit now ...

  $200,000/2.117 = $94,473.31

_____

When this amount is multiplied by 2.117, the result is 200,000.

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Calculate the highest common fac for it to the following 4 45, 6 o and is​
kow [346]

Answer:

The greatest common factor is 1

Step-by-step explanation:

The factors of 4 are: 1, 2, 4

The factors of 6 are: 1, 2, 3, 6

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 1.

4 0
3 years ago
2.2.PS-8 Find the value of x when 6 - 4x = 6x - 8x + 8. The value of x is​
Bess [88]

Answer:

X = -1

Step-by-step explanation:

6 - 4x = 6x - 8x + 8

-6.                      -6

-4x = -2x + 2

+2x.   +2x

-2x = 2

divide both sides by -2

x = -1

6 0
3 years ago
I need help with this one asap please and thank you
inna [77]

Answer:

C

Step-by-step explanation:

A

(m² - 3m + 2) / (m² - m)

we see due to a little bit of experience with expressions and multiplications of expressions that

(m² - 3m + 2) = (m - 2)(m - 1)

(m² - m) = m(m - 1)

so,

(m - 2)(m - 1) / (m(m - 1)) = (m - 2) / m

so, that's not it.

B

(m² - 2m + 1) / (m - 1)

we see again

(m² - 2m + 1) = (m - 1)(m - 1)

so,

(m - 1)(m - 1) / (m - 1) = m - 1

so, that's not it.

C

(m² - m - 2) / (m² - 1)

we see again

(m² - m - 2) = (m - 2)(m + 1)

and

(m² - 1) = (m + 1)(m - 1)

so,

(m - 2)(m + 1) / ((m + 1)(m - 1)) = (m - 2) / (m - 1)

yes, that is the solution.

D

(2m² - 4m) / (2(m - 2))

2m(m - 2) / (2(m - 2)) = 2m/2 = m

no, that is not a solution.

8 0
2 years ago
Brett painted three walls. Each wall was 9 ft tall and 12 ft long. How much wall area did he paint
julsineya [31]

Answer:

First we need to calculate the are of each wall, since we alredy knew the length (l) and the width (w) which is the height of the wall in this case:

A = wl = 9 . 12 = 108 (ft²)

We also know that he painted 3 walls, we need to multiply our first result by 3, in other words, the area of wall that Brett painted is the sum of the area of three walls: 108 . 3 = 324 (ft²)

8 0
4 years ago
Read 2 more answers
¿por qué no está definida la raíz de índice par de un número negativo?
amid [387]

Answer:

Porque se convierte en positivo cada vez que haces la raíz cuadrada.

3 0
3 years ago
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