Jean bought a $1,980 snow thrower on the installment plan. The installment agreement included a 10% down payment and 18 monthly
1 answer:
<u>Solution-</u>
The price of the snow thrower = $1980
He must pay a 10% down-payment and the rest at a $116 monthly payment for 18 months.
<u>A. How much is the down payment</u>
Down payment amount is, 10% of $1980, i.e
<u>B. What is the total amount of the monthly payments</u>
A monthly payment of $116 for 18 months, i.e
<u>C. How much did Jean pay for the snow thrower on the installment plan</u>
It is the sum of down-payment and total monthly payments, i.e
<u>D. What is the total finance charge</u>
It the difference between the original price and the amount paid by Jean, i.e
<u> E. If Jean models her payment plan as an arithmetic sequence, give the first term a1 and the common ratio d</u>
As he paid the down-payment of $198 and then a constant monthly payment of $116, so
The first term = 198
common difference = 116
The A.P. series will be, 198, 314, 430, 546, 662,.................., 2286
You might be interested in
Answer:
Vertices at (-7, 5) and (-1, 5).
Foci at (-9, 5) and (1,5).
Step-by-step explanation:
(x + 4)²/9 - (y - 5)²/16 = 1
The standard form for the equation of a hyperbola with centre (h, k) is
(x - h²)/a² - (y - k)²/b² = 1
Your hyperbola opens left/right, because it is of the form x - y.
Comparing terms, we find that
h = -4, k = 5, a = 3, y = 4
In the general equation, the coordinates of the vertices are at (h ± a, k).
Thus, the vertices of your parabola are at (-7, 5) and (-1, 5).
The foci are at a distance c from the centre, with coordinates (h ± c, k), where c² = a² + b².
c² = 9 + 16 = 25, so c = 5.
The coordinates of the foci are (-9, 5) and (1, 5).
The Figure below shows the graph of the hyperbola with its vertices and foci.
