Answer:
10.14 years
Step-by-step explanation:
The following equation describes the percentage of all eligible voters that are registered to vote as a function of time:
V=100-30e^{-0.04t}
The time 't' for which V(t) = 80 is the amount of years required for the percentage of registered voters to reach 80%:
80=100-30e^{-0.04t}\\\frac{20}{30}= e^{-0.04t}\\ln(\frac{2}{3})=-0.04t*ln(e)\\ t=10.14\ years
It will take 10.14 years until 80% of all eligible voters in your county are registered to vote
Answer:
B.
Step-by-step explanation:
Green: y = 1.75x + 4
The slope is 1.75 which is the rate per mile.
Green charges $1.75 per mile.
White:
For 3 miles: $10.50
For 5 miles: $13.50
Difference: $13.50 - $10. 50 = $3.00
The $3.00 difference is for 2 miles.
Rate per mile: $3.00/2 = $1.50
White charges $1.50 per mile
Answer: B.
Answer:
Step-by-step explanation:
4 cups of J for every 7 cups of soda 4:7
21 cups of soda will take 12 cups of J
If you take the 7 and multiply by 3 you get the 21.
So you will need to multiply the 4 by the 3 to get the 12. You need to keep everything in proportion.
4:7 same as 12:21
Answer:
The correct option is D.
Step-by-step explanation:
The given equation is

According to the addition property of equality
and
are equivalent equations.
Use addition property of equality, add 3x on both the sides.


Therefore Sam's work is incorrect because he make calculation mistake.
According to the subtraction property of equality
and
are equivalent equations.
Use subtraction property of equality, subtract 5x from both the sides.


Therefore Roy's work is correct because he used subtraction property.
Option D is correct.
Answer:
She earned $288 this week
Step-by-step explanation:
x = 12
Work = 2(12) + 8
24 + 8 = 32 hours
Earned = (12) - 3 = 9 per hour
32 × 9 = $288
I hope this helps!