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Gennadij [26K]
3 years ago
7

Factor the polynomial x(3x+5)-4(3x+5)

Mathematics
2 answers:
mojhsa [17]3 years ago
4 0

Answer:

(3x+5)(x-4)

Step-by-step explanation:

First, we must distribute this:

x(3x+5)-4(3x+5)\\3x^2+5x-12x-20\\3x^2-7x-20

Now, we must factor:

3x^2-7x-20\\(3x+5)(x-4)

padilas [110]3 years ago
3 0
<span>x(3x+5)-4(3x+5)
3x^2+5x-12x+20
3x^2-7x+20</span>
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(Please show step by step workings)
matrenka [14]

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):

M=P \frac{r(1+r)^{n} }{(1+r)^{n}-1}

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:

M= 360,000\frac{0.0031(1+0.0031)^{240} }{(1+0.0031)^{240} -1}

M= 360,000\frac{0.0031(1.0031)^{240} }{(1.0031)^{240} -1}

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

5 0
3 years ago
If 8 widgets equal 4 curlicues and
dalvyx [7]
So 8w=4c and 2c=3g. divide the first equation by 2 and you get 4w=2c. merge the two equation give you 4w=2c=3g, or 4w=3g. multiply 4 on both sides give you 16w=12g. So 16 widgets equal how 12 goof-ups?
6 0
3 years ago
6x+9y-12=0 ‎‎‎‎‎ ‎‎‎‎
77julia77 [94]

Answer:

x = 2

Step-by-step explanation:

6x + 9y - 12 = 0 \\ 6x + 9 \times 0  - 12 = 0 \\ 6x + 0 - 12 = 0 \\ 6x - 12 = 0 \\ 6x  = 12 \\ x = 2

6 0
2 years ago
Anyone Help me please!! I’m completely lost
pav-90 [236]

Answer:

Parallelogram Height = 6 cm * sine (60)

Height = 6 * 0.86603

Height = 5.19618

Parallelogram Area = Height * Side TH

Parallelogram Area = 5.19618 * 8

Parallelogram Area = 41.56944 square cm

You might find this page helpful: https://www.1728.org/quadpar.htm


Step-by-step explanation:


5 0
3 years ago
I dislike school but it’s 2.2 quick check, and it’s hard.
Mademuasel [1]

Answer:umm ok

Step-by-step explanation:

3 0
3 years ago
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