Answer:
The person invested $3500 at 7% and $2500 at 5%
Step-by-step explanation:
We can say that 
because the investment is equal both in one as in another, where x is the income from the investment.
Solving the equation we have:
Then to get the incomes:
At 7%: 
And at 5%: 
Finally we can demonstrate the answer because the income at 7% + income at 5% are 3500+2500=$6000
Answer:
8 cup of blue
12 cup of red
Step-by-step explanation:
The first thing is to calculate how much black paint is produced, assuming that the volumes add up, we have to:
1/2 + 1/3 = 5/6
5/6 cup of paint is produced, I want to know how much I need to produce 20 cups, I divide the value I want by the ideal value, that is, 5/6 and thus I obtain the factor that I require:
20 / (5/6) = 24
Now I multiply by 24 each quantity of blue and red paint
1/2 * 24 = 12
1/3 * 24 = 8
Which means you need 12 cups of red paint and 8 cups of blue paint
Answer:
Ann drove 312 miles in 8 gallons.
Step-by-step explanation:
Distance covered by Ann's car = 117 miles
Gallons of gas spent by Ann's car to cover 117 miles = 3 gallons
Unit rate = 117 miles / 3 gallons
= 39 miles per gallon
so Ann's car can go 39 miles in one gallon of gas.
- Given that Ann used 8 gallons of gas.
Therefore,
Distance covered by Ann's car in 8 gallons = 39 × 8
= 312 miles
Therefore, Ann drove 312 miles in 8 gallons.
Sam paid $ 124.032 as tax deduction each week.
<h3>What is an Equation ?</h3>
An equation is a mathematical statement formed when an algebraic expression is equated by an equal sign by a constant or algebraic expression.
It is given that
weekly earnings of Sam is $912
Tax deduction is 13.6 %
Let the amount of Tax deduction is represented by $x
Then the equation formed is
x = 13.6 % 912
x = 13.6 *912 /100
x = $ 124.032
Therefore Sam paid $ 124.032 as tax deduction each week.
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