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Levart [38]
3 years ago
10

Factor the binomial: 24mn + 32m *

Mathematics
1 answer:
8_murik_8 [283]3 years ago
4 0
The greatest common multiple is 8m, so this means that you can factor it out to:

=8m(3n+4)
=(8m•3n)+(8m•4)
=(24mn)+(32m)
=24mn+32m

The answer is option 2.
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When the new principal on a loan is $79,946.13 and the interest rate is 8 percent, the monthly payment is $587.20. Find the inte
lesya [120]

9514 1404 393

Answer:

  • to interest: $532.97
  • to principal: $54.23
  • new balance: $79,891.90

Step-by-step explanation:

The interest is found by multiplying the monthly rate by the balance on the loan. For the first month, the balance is the loan amount.

  $79,946.13 × 0.08 ×(1/12) . . . . . one month = 1/12 year

  = $532.97

The interest amount in the first payment is $532.97.

__

The amount of the first payment that goes to principal is what is left after the interest is paid:

  $587.20 -532.97 = $54.23 . . . amount to principal

__

The new balance is the previous balance less the amount to principal:

  $79,946.13 -54.23 = $79,891.90 . . . new balance

7 0
3 years ago
Which graph represents the equation 12 = 32 + 4y? Explain how you know.
sergeinik [125]
What graph?
BTW the answer to that equation is: x=5
12=32+4y
12-12= 0 (cancels out)
32-12= 20
20 divided by 4= 5
Therefore, x=5
6 0
3 years ago
6m+12 = 2(2m+8) I need help
Paul [167]
6m+12 = 4m+16
2m = 4
m=2
3 0
3 years ago
Read 2 more answers
Find the x-intercepts of the parabola with the vertex (4,-1) and y-intercpet (0,15). write your answer in this form, (x1,y1)(x2.
Ilya [14]
If you fit the vertex and the y-intercept into that form of the parabola, what you get is this:
a(0-4) ^{2} =(15+1) and
a(-4) ^{2} =16 and 16a=16. Solve that a to get that a = 1.  Now you have your true parabola equation in vertex form, which is:
1(x-4) ^{2} =y+1 or just
(x-4) ^{2} =y+1
Follow my work here to find the x-intercepts:
(x-4) ^{2} -1=y
(x-4)(x-4)-1=y and x^{2} -8x+16-1=y
Simplifying by combining like terms gives you this parabola:
x^{2} -8x+15=y
In order to find the x-intercepts, or the roots of the parabola as they are also known as, you have to set y equal to 0 (because the x-intercepts are found when y = 0, right?)
x^{2} -8x+15=0
Factoring that gives you (x-5)(x-3)=0 and that x-5=0 and x-3=0. Solving each of those simple equations gives you x=5 and x=3 when y=0. So the roots, in the form you require them, are (5, 0) and (3, 0)
8 0
3 years ago
Find the total amount given the original price and tax rate. Round to the nearest cent if necessary.
Setler79 [48]

Given:

Original price = $15.25

Tax rate = 7%

To find:

The total amount.

Solution:

We know that,

Total amount = Original price + Tax

According to the question,

Total amount = 15.25 + 7% of 15.25

\text{Total amount}=15.25+\dfrac{7}{100}\times 15.25

\text{Total amount}=15.25+1.0675

\text{Total amount}=16.3175

Round to the nearest cent (two decimal places).

\text{Total amount}\approx 16.32

Therefore, the total value is $16.32.

3 0
2 years ago
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