Answer:

Step-by-step explanation:

Apply natural log property
ln mn=ln m + ln(n), ln(m/n)=ln(m)-ln(n)


All natural log has base 'e'

cross multiply


add 6e^3 on both sides and -x on both sides


Divide e^3-1 on both sides

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Answer:
a) $15,779.70
b) $13,679.70
c) $210.92
Step-by-step explanation:
a) When tax is added, the total cost is ...
total = price × (1 +tax rate)
total = $14,775 × 1.068 = $15,779.70
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b) The amount financed is the difference between the total cost and the down payment.
financed = total - down35
financed = $15,779.70 -2100 = $13,679.70
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c) The monthly payment is found using the amortization formula. It can also be found using any of a number of financial calculators, spreadsheets, or apps.
A = P(r/12)/(1 -(1 +r/12)^-n) . . . . annual rate r, n monthly payments, principal P
A = $13,679.70(0.035/12)/(1 -(1 +0.035/12)^-72) ≈ $210.92
With some assistance they can pour 4 quarts into the gallon container to understand that 4 quarts are equal to 1 gallon. Since there are 2 pints in a quart, there are 8 pints in a gallon. Since there are 2 cups to a pint, there are 16 cups in a gallon.
Answer:
You use the facts about a 30, 60, 90 triangle.
Step-by-step explanation:
The angles in a triangle add up to 180.
90+30+x=180
120+x=180
x=60
This is a 30-60-90 right triangle.
The side opposite the 30 degree angle is a.
The side opposite the 90 degree angle (hypotenuse) is 2a.
The side opposite the 60 degree angle is a
We know the side opposite the 90 degree angle.
2a = 12
Divide by 2.
a=6
a is the side opposite the 30 degree angle (y)
Because we know a, we can find a
.
6
The square roots cancel, leaving 3.
6 times 3 is 18.
Therefore, the side opposite the 60 degree angle (x) is 18.