Sara earns 5% simple interest on her 2500 certificate of deposit. how much simple interest will sara earn in 3 years

2875

Step-by-step explanation:

In a year, Sara will earn

2500 + 2500 * 5% *1 = 2500 + 125 = 2625 (5% numerically is 0.05)

In two years, Sara will earn

2500 + 2500 * 5% *2 = 2500 + 250 = 2750

In three years, she will earn

2500 + 2500 * 5%*3 = 2500 + 375 = 2875

2875 is the answer, however we can still yield this answer in a simple way

We can observe from the sequence of the years that there is a general formula. Indeed, there do exists a general formula and it is A = P(1+rt), where A is the earnings (2875), P is the principal amount (2500), r is the interest rate and t is the time period.

Applying the last formula we can find that:

A = 2500(1+0.05*3) = 2875

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

wholesale price is the initial price before markup. retail price comes after the markup.

a price of 8 bucks that's marked up by 100%   is

formula: initial price + (percent markup in fraction/decimal)(initial price)

8+(1)(8)

8+8

16

retail price is $16.