You deposit $2000 into an account that earns interest at the rate of 5% per year. How much interest is obtained over 5 years?

2 Answers
Dec 17, 2017

$500

Explanation:

We know Simple Interest (SISI)= PxxR/100xxTP×R100×T

Where P = Principal amount, R = Rate of interest and. T = Time.

Here P = 2000, I = 5 and T = 5.

Hence SI = 2000xx5/100xx5 = 500SI=2000×5100×5=500

Dec 17, 2017

color(brown)("The question does not declare the interest type used")The question does not declare the interest type used

$566.72$566.72 to 2 decimal places larr compound interest

$500.00$500.00 to 2 decimal places larr simple interest

Explanation:

color(blue)("Compound interest")Compound interest

color(brown)("In real life this is the one that would be used")In real life this is the one that would be used

The annual interest is distributed over each payment cycle.

For monthly calculation cycle we do have color(white)("ddd")1/12xx5/100 = 5/1200ddd112×5100=51200

Using P(1+5/1200)^tP(1+51200)t

Note that tt is for 5 years at 12 cycles per year giving:

$2000(1+5/1200)^60$2000(1+51200)60

$2000(1205/1200)^60 = $2566.72$2000(12051200)60=$2566.72 to 2 decimal places

Interest is

$2566.72$2566.72
ul($2000.00 larr" Subtract")
color(white)("d")$566.72

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
color(blue)("Simple interst")

5% ->5/100

Interest per year 5/100 xx$2000 = $100

Interest for 5 years color(white)("d") 5xx $100 = $500