$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A=6000[1+(0.04)(\frac{2}{3})]\implies A=6000\left( \frac{77}{75} \right)\implies A=6160$

well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.

what if she had left her money for 1 whole year, then

$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240$

so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?

$\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}$

4 0

2 years ago

A deposit of $35.45 was made to a checking account. Before the deposit, the account had a balance of −$12.39 .

Naddika [18.5K]

The answer would be 23.06.

7 0

3 years ago

Please help ASAP 50 points :(((

Katyanochek1 [597]

Answer:

(f o g) (x) = 36x² + 3

(g o f) (x) = 6x² + 18

Step-by-step explanation:

f(x) is x² + 3

g(x) is 6x

(f o g) (x) means for all xs in f replace it with g(x) or 6x

(f o g) (x) = (6x)² + 3 - see 6x is in place of x and 6x is g(x)

(f o g) (x) = 36x² + 3

(g o f) (x) = 6(x² + 3)

(g o f) (x) = 6x² + 18

8 0

3 years ago

Read 2 more answers

In a coffee shop, cups of coffee cost 2$ and muffins cost 3$. The maximum amount that you can spend is $18. The equation that re

lions [1.4K]

Answer:

c= 0 m=6

Step-by-step explanation:

0x2= 0

3x6=18

18+0=18$

8 0

3 years ago