do you know how? 4. find the missing value in each row. use the percent equation. principal (p) interest…

do you know how? 4. find the missing value in each row. use the percent equation. principal (p) interest rate (r) time in years (t) interest earned (i) $100 5% 3 15 $500 4% $20 10% 7 $35 $200 2 $6
Answer
Explanation:
Step1: Recall simple - interest formula
The simple - interest formula is $I = Prt$, where $I$ is the interest earned, $P$ is the principal, $r$ is the interest rate (in decimal form), and $t$ is the time in years.
Step2: Solve for $t$ in the second row
Given $P = 500$, $r=0.04$ (since $4%=0.04$), and $I = 20$. Substitute into the formula $I = Prt$: $20=500\times0.04\times t$ $20 = 20t$ $t=\frac{20}{20}=1$
Step3: Solve for $P$ in the third row
Given $r = 0.1$ (since $10%=0.1$), $t = 7$, and $I = 35$. Substitute into the formula $I = Prt$: $35=P\times0.1\times7$ $35 = 0.7P$ $P=\frac{35}{0.7}=50$
Step4: Solve for $r$ in the fourth row
Given $P = 200$, $t = 2$, and $I = 6$. Substitute into the formula $I = Prt$: $6=200\times r\times2$ $6 = 400r$ $r=\frac{6}{400}=0.015$ or $1.5%$
Answer:
| Principal ($P$) | Interest Rate ($r$) | Time in years ($t$) | Interest Earned ($I$) |
|---|---|---|---|
| $$100$ | $5%$ | $3$ | $$15$ |
| $$500$ | $4%$ | $1$ | $$20$ |
| $$50$ | $10%$ | $7$ | $$35$ |
| $$200$ | $1.5%$ | $2$ | $$6$ |