What is 3.242424 as a mixed number
2 answers:
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Answer:
see below
Step-by-step explanation:
f(x) = −16x^2 + 24x + 16
Set equal to zero to find the x intercepts
0 = −16x^2 + 24x + 16
Factor out -8
0 = -8(2x^2 -3x-2)
Factor
0 = -8(2x +1) (x-2)
Using the zero product property
2x+1 =0 x-2 =0
x = -1/2 x=2
The x intercepts are -1/2 ,2
Since the coefficient of x^2 is negative the graph will open down and the vertex will be a maximum
The x value of the maximum is 1/2 way between the zeros
(-1/2+2) /2 = 1.5/2 =.75
To find the y value substitute into the function
f(.75) = -8(2x +1) (x-2)
=-8(2*.75+1) (.75-2)
= -8(2.5)(-1.25)
=25
The vertex is at (.75, 25)
We have the zeros, and the vertex. We know the graph is symmetrical about the vertex
Answer:
- <em><u>$869,776</u></em>
Explanation:
<u>1. Mortgage table</u>
Find attached a sample of a mortgage table per 1,000 dollars borrowed.
You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.
The number is $6.74.
That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.
<u>2. Amount borrowed</u>
You will make a 22% down payment:
Thus the amount borrowed is $426,000 - $93,720 = $332,280
<u>3. Monthly payment</u>
Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:
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<u>4. Total monthly payments:</u>
Multiply the number of payments by the monthly payment.
Number of payments = 20 years × 12 payments /year = 240 payments.
<u>5. Total payment for the home.</u>
The total payment for the home will be the down payment plus the amount paid to the bank:
- $322,280 + $537,496 = $869,776
