Mathematics: You would like to have $10,000 in an account after eight years time. If the account earns 2.5% compounded interest yearly, how much would you have to deposit today

You would like to have $10,000 in an account after

Ответ:

afitzgerald

27.04.2021

Mathematics

You have to deposit $8,207.5 today.

Step-by-step explanation:

Compound interest:

The amount of money in yearly compounded interest, after t years, is given by the following equation:

A(t) = A(0)(1+r)^t

In which A(0) is the initial deposit and r is the interest rate, as a decimal.

You would like to have $10,000 in an account after eight years time.

This means that when t = 8, A(t) = 10000

2.5% compounded interest

This means that r = 0.025

A(t) = A(0)(1+r)^t

A(t) = A(0)(1+0.025)^t

A(t) = A(0)(1.025)^t

How much would you have to deposit today?

We have to find A(0), when t = 8, A(t) = 10000 . So

A(t) = A(0)(1.025)^t

10000 = A(0)(1.025)^8

$A(0) = \frac{10000}{(1.025)^8}$

A(0) = 8207.5

You have to deposit $8,207.5 today.

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Ответ:

flowersthomas1969

03.11.2020

Mathematics

y ≤ -6x + 21 is the inequality.

Step-by-step explanation:

A slope intercept form of a line is represented as y = mx + c

where m = slope of the line

and c = y intercept

The given inequality is -12x - 2y ≥ -42

Now we divide the inequality by 2

$\frac{(-12x-2y)}{2}\geq \frac{-42}{2}$

-6x - y ≥ -21

Now we add y on both the sides of the inequality

-6x - y + y ≥ -21 + y

-6x ≥ y - 21

We add 21 on both the sides of the inequality

-6x + 21 ≥ y - 21 + 21

-6x + 21 ≥ y

Or y ≤ -6x + 21

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You would like to have $10,000 in an account after eight years time. If the account earns 2.5% compounded interest yearly, how much would you have to deposit today

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