Mr.Jackson is saving money to go on a trip. Last month,he saved $21 dolloars each week for 4 weeks. This month he saved 3 times
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The answer is: " $0.67 / metre " ;
or, write as: " [ dollar] per metre."
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<u>Step-by-step explanation</u>:
This is a unit rate problem:
Find the cost in dollars per [single unit—in this case: "metre(s)", "<em>m</em>" ;
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; Solve for the "?" <u>amount of dollars</u>.
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Method 1) "Cross-factor multiply" :
<u>Note</u>: <u>Given</u><u>:</u> " " ;
then: ⟷ " " ;
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So: " \frac{200 dollars}{300m} = \frac{? dollars}{1m} " ;
then: ⟷ " (200*1) = (300* ?) ;
→ " (200) = (300 * ?)" ;
↔ " (300 * ?) = 200 " ;
Let "x" refer to the "?" ; the "<u>unknown value</u>" (<u>in dollars</u>);
for which we are trying to solve.
⇒ " 300x = 200 " ; Solve for "x" ;
→ Divide each side of the equation by: "300" ;
to isolate "x" on the "left-hand side" of the equation; & to solve for "x" ;
⇒ 300x/ 300 = 200/300 ;
To get: " x = dollars" ;
= $0.666666666... ;
round to: $0.67 .
{since: " 1 dollar = $1.00 = 100 cents" ;
and since: "\frac{2}{3} " ;
= ["2 ÷ 3" = 0.666666...." ] ;
⇒ round to: "0.67 " ;
and write as:
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⇒ $0.67 / metre ; or, write as:
" [ dollar] per metre."
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Method 2) <u>Note</u>:
\frac{200 dollars}{300m} = \frac{? dollars}{1m} ;
⇔ = "
" ;
{<u>Note</u>: "[200÷300]" can be simplified by "canceling out" the two (2) zeros in both the numerator and the denominator.}.
= " \frac{2 dollars}{3m} ";
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= i.e. " " or;
; or: <u>$0.67 / metre</u> .
⇒ {since: " of 1 dollar" = " \frac{2}{3} dollars of 100 cents" ;
⇒ {since: "1 dollar = 100 cents"} ;
⇒ {and: " " = 0.6666666666666... " } ;
→ round to: "0.67 " ; and thus: $0.67 / metre.
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Note that using either of these 2 (two) methods result in the same answer.
Hope this is helpful! Best wishes to you within your academic pursuits!
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Answer:
The income will they have left over after paying their federal income tax is <u>$64,850.00</u>.
Step-by-step explanation:
Given:
A married couple filing their federal income tax return jointly had a taxable
income of $76,300.
Now, to find according to the table the income will they left over after paying their federal income tax.
<em>So, as given in table:</em>
<em>The tax of the taxable income over $67,900 but not over $1,37,050 is $9,350 plus 25% of the amount over $67,900.</em>
As, the taxable income $76,300 falls in to the above conditions.
Now, to calculate the tax:
<em>Thus, the tax = $11450.</em>
Now, deducting the tax from the taxable income:
<em>So, the amount left = $64,850</em>.
Therefore, the income will they have left over after paying their federal income tax is $64,850.00.
Answer:
Step-by-step explanation:
Step 1: Determine the volume
Answer: