A car traveled 200 miles on 8 gallons of gas. Find the unit rate of gallons per mile.
2 answers:
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Answer:
a. They will need $90,000.00 for the down payment
b. The mortgage amount (principal) will be $360,000.00
c. The monthly principal payment will be $1,500,00
The monthly interest payment will be $634.40
d. The total interest they will pay: $152,256.00
Step-by-step explanation:
house price= $450,000
down payment = 20%
20-year mortgage
Interest rate= 3.75%
a. How much they will need for the down payment?
The down payment (DoP) is 20% of the house price
DoP= 20% de $450,000
DoP= 0.20*450,000
DoP= $90,000
b. What will be the mortagage amount (the principal)?
The mortgage amount (MoA) (principal) is the difference between the house price and the down payment.
MoA= $450,000 - $90,000
MoA= $360,000
c. How much will their monthly payment be for the principal and interest?
This equation represents the monthly payment (M):
where
P= the principal = $360,000
r= monthly interest rate = 3,75% divided by 12 = 0,31%
n= number of payments = 20 years multiplied by 12 months = 240
Let´s input these data into the equation:
Solving the equation:
M= $2,134.40
the principal component of this M would be
$360,000 divided by the 240 months
So, the principal component of M = $1,500.00
And the interest component of M is the difference
$2,134.40 - $1,500.00
So, the interest component of M = $634.40
d. How much total interest will they pay if they take the full 20 years to pay off the mortgage?
With every payment, they will be paying:
$634.40 per month, multiplied by 240 months
The total interest will be $152,256.00
Answer:
Step-by-step explanation:
We are given that a number 18234
We have to find the prime factorization of the number
Prime factorization : The number written is in the product of prime numbers is called prime factorization.
In order to find the prime factorization we will find the factors of given number
Hence, the prime factorization of
Answer: 19 cm
<u>Step-by-step explanation:</u>
99 =
99 =
198 = (2x + 13)(x - 4)
198 = 2x² + 5x - 52
0 = 2x² + 5x - 250
0 = 2x²- 20x + 25x - 250
0 = 2x(x - 10) + 25( x - 10)
0 = (2x + 25)(x - 10)
0 = 2x + 25 or 0 = x - 10
= x or x = 10
Since length cannot be negative, can be disregarded
Larger base: x + 9 = 10 + 9 = 19