Question

Here are some questions I need help with:

Answer 1

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

$\begin{aligned}\sf Total\:taxes & =\textsf{Assessed value} \times \textsf{school tax rate} \\ &=\sf 8000000 \times \dfrac{0.6}{100}\\& = \sf 8000000 \times 0.006\\ & = \sf \ 48,000\end{aligned}$

$\begin{aligned} \textsf{4\% of Total taxes} & = \sf 4\% \:of\: \ 48,000\\ & = \sf \dfrac{4}{100} \times 48000\\ & = \sf 0.04 \times 48000\\& = \sf\ 1,920 \end{aligned}$

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.

$\implies \sf \ 500 : 80\% = x : 100\%$

$\implies \sf \dfrac{500}{0.8}=\dfrac{x}{1}$

$\implies \sf x=\dfrac{500}{0.8}$

$\implies \sf x=625$

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.

Answer 2

Answer:1,9202, c is 10,000% of a  and  a is 1% of c3)  $625

Step-by-step explanation: