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

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$