Question

James and Susan wish to have $10,000 available for their wedding in 4 years. How muchmoney should they set aside now at 6% compounded monthly in order to reach theirfinancial goal?

Answer 1

They need to set aside $609.98

Step-by-step explanation:

The compound interest formula is:

`A=P(1+r)^t`

Where:

• A is the amount after t periods

,

• P is the initial amount

,

• r is the rate of compound interest of each period

,

• t is the amount of periods.

In the problem, we want to know P such that:

• A = $10,000

,

• r = 0.06 (6% to decimal, we divide by 100: 6/100 = 0.06)

,

• t = 4

Then:

`10000=P(1+0.06)^4`

`P=(10000)/(1.06^4)`
`P=609.98`