$\bf ~~~~~~ \textit{Simple Interest Earned}
\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &\$1575\\
P=\textit{original amount deposited}\to& \$6000\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to &7
\end{cases}
\\\\\\
1575=(6000)(r)(7)\implies \cfrac{1575}{(6000)(7)}=r\implies 0.0375=r
\\\\\\
r\%=0.0375\cdot 100\implies r=\stackrel{\%}{3.75}$

4 0

3 years ago

Mother wants to divide $36 between her daughters Ava and Charlotte in the ratio of their ages. If Ava is 15 years old and Charlo

Fantom [35]

Answer:

Ava's share = $20

Charlotte's share = $16

Step-by-step explanation:

15x + 12x = 36 : multiply each girl's age by same amount and adding gives $36

27x = 36 : add x terms

x = 36 / 27 : divide both sides of equation by 27

x = 4 / 3

Ava's share = 15x = 15 * 4/3 = 20

Charlotte's share = 12x = 12 * 4/3 = 16

8 0

3 years ago