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BARSIC [14]
3 years ago
8

Solve for t. d= -16t^2 + 4t I’m suck on this problem for some reason Thank you!

Mathematics
1 answer:
enyata [817]3 years ago
8 0

Answer:

t = 1/8 ± √(1 − 4d) / 8

Step-by-step explanation:

d = -16t² + 4t

Move everything to the left side:

16t² − 4t + d = 0

Solve with quadratic formula:

t = [ -(-4) ± √((-4)² − 4(16)(d)) ] / 2(16)

t = [ 4 ± √(16 − 64d) ] / 32

t = [ 4 ± 4√(1 − 4d) ] / 32

t = [ 1 ± √(1 − 4d) ] / 8

t = 1/8 ± √(1 − 4d) / 8

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A divided by 16=b

Step-by-step explanation:


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If the purchase price for a house is $445,500, what is the monthly payment if you put 5% down for a 30 year loan with a fixed ra
Lemur [1.5K]

The monthly payment if we put 5% down for a 30-year loan with a fixed rate of 6.25% is (B) $2,605.87 (approx).

<h3>What is a loan?</h3>
  • A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, or other entities in finance.
  • The recipient (i.e., the borrower) incurs a debt and is typically required to pay interest on that debt until it is repaid, in addition to repaying the principal amount borrowed.
  • The document evidencing the debt will typically include information such as the principal amount borrowed, the interest rate charged by the lender, and the date of repayment.
  • A loan is the temporary reallocation of the subject assets between the lender and the borrower.

To find the monthly payment if we put 5% down for a 30-year loan with a fixed rate of 6.25%:

  • The purchase price is = $445500
  • 5% is down payment = 0.05 × 445500 = 22275
  • Loan amount is = 445500 - 22275 = 423225
  • The EMI formula is = [p × r (1+r)ⁿ]/[(1+r)ⁿ-1]
  • p = 423225
  • r = 6.25/12/100=0.0052
  • n = 30 × 12 = 360
  • Putting the values in the formula we get:
  • [423225 × 0.0052 × (1.0052)³⁶⁰]/[(1.0052)³⁶⁰-1]
  • = $2603.17

Therefore, the monthly payment if we put 5% down for a 30-year loan with a fixed rate of 6.25% is (B) $2,605.87 (approx).

Know more about loans here:

brainly.com/question/26011426

#SPJ4

The correct question is given below:
If the purchase price for a house is $445,500, what is the monthly payment if you put 5% down for a 30-year loan with a fixed rate of 6.25%?

a. $2,740.19

b. $2,605.87

c. $1,314.84

d. $1,249.10

8 0
1 year ago
Need help with this math question
anastassius [24]

Answer:

The vertex is: (6, 8)

Step-by-step explanation:

First solve the equation for the variable y

x^2-4y-12x+68=0

Add 4y on both sides of the equation

4y=x^2-4y+4y-12x+68

4y=x^2-12x+68

Notice that now the equation has the general form of a parabola

ax^2 +bx +c

In this case

a=1\\b=-12\\c=68

Add (\frac{b}{2}) ^ 2 and subtract (\frac{b}{2}) ^ 2 on the right side of the equation

(\frac{b}{2}) ^ 2=(\frac{-12}{2}) ^ 2\\\\(\frac{b}{2}) ^ 2=(-6) ^ 2\\\\(\frac{b}{2}) ^ 2=36

4y=(x^2-12x+36)-36+68

Factor the expression that is inside the parentheses

4y=(x-6)^2+32

Divide both sides of the equality between 4

\frac{4}{4}y=\frac{1}{4}(x-6)^2+\frac{32}{4}

y=\frac{1}{4}(x-6)^2+8

For an equation of the form

y=a(x-h)^2 +k

the vertex is: (h, k)

In this case

h=6\\k =8

the vertex is: (6, 8)

5 0
3 years ago
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