Answer:
1) $1,920
2) c is 10,000% of a and a is 1% of c
3) $625
Step-by-step explanation:
Question 1
Given:
- Assessed valuation = $8,000,000
- School taxes rate = $0.60 / $100 valuation
[tex]\begin{aligned}\sf Total\:taxes & =\textsf{Assessed value} \times \textsf{school tax rate} \\ &=\sf 8000000 \times \dfrac{0.6}{100}\\& = \sf 8000000 \times 0.006\\ & = \sf \$48,000\end{aligned}[/tex]
[tex]\begin{aligned} \textsf{4\% of Total taxes} & = \sf 4\% \:of\: \$48,000\\ & = \sf \dfrac{4}{100} \times 48000\\ & = \sf 0.04 \times 48000\\& = \sf\$1,920 \end{aligned}[/tex]
Question 2
To convert a percentage into a decimal, divide by 100:
⇒ 4% = 4 ÷ 100 = 0.04
⇒ 25% = 25 ÷ 100 = 0.25
If a is 4% of b then: a = 0.04b
If b is 25% of c then: b = 0.25c
Substitute the second equation into the first:
⇒ a = 0.04b
⇒ a = 0.04(0.25c)
⇒ a = 0.01c
As 0.01 = 0.01 × 100 = 1%
Therefore, a is 1% of c.
⇒ a = 0.01c
⇒ a ÷ 0.01 = c
⇒ 100a = c
As 100 = 100 × 100 = 10,000%
Therefore, c is 10,000% of a.
Question 3
If income tax is 20%, then $500 is 80% of your pre-tax salary.
Let x be the pre-tax salary.
[tex]\implies \sf \$500 : 80\% = x : 100\%[/tex]
[tex]\implies \sf \dfrac{500}{0.8}=\dfrac{x}{1}[/tex]
[tex]\implies \sf x=\dfrac{500}{0.8}[/tex]
[tex]\implies \sf x=625[/tex]
Therefore, the smallest pre-tax weekly salary you can earn and still be able to pay your bills after you pay income tax is $625.
