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vampirchik [111]
3 years ago
15

FOIL MULTIPLY AND SIMPLIFY 4t(2t+7)(t−3)

Mathematics
1 answer:
lesya692 [45]3 years ago
3 0
8 t ^ 2 + 4 t ^ 2 - 8 4 t
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It is what it is<br> ffmijcnrfchnejidxmjked uh rfj9iow,xoecnrubcyemxwkxm
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What is the explicit formula for the sequence 7,2,-3,-8,-13
eduard
You could say that      a(n) = 12 - 5n .

Then ...

a(1) = 12 - 5 = 7
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8 0
3 years ago
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What’s the volume of <br> 1.)<br> V=txrxrxh<br> = 3.14 X 3 X 3 X 4<br> 5 cm<br> 12 cm
KonstantinChe [14]

9514 1404 393

Answer:

 A)  (3 cm x 4 cm ÷ 2) x 3 cm

Step-by-step explanation:

The volume is the product of the area of the triangular bases and the distance between them.

Each right triangular base has a width of 3 cm and a height of 4 cm. Its area will be given by ...

 A = (1/2)bh

 A = (1/2)(3 cm)(4 cm) = (3 cm × 4 cm) ÷ 2

__

The distance between the triangular bases is marked at the left side of the diagram as 3 cm. So, the volume is ...

 V = Bh

 V = (3 cm × 4 cm ÷ 2) × 3 cm . . . . . matches choice A

There aren't any more steps. The answer starts by saying how the volume is computed. Then it shows how to find the numbers that go into that computation. Finally, it puts all that together in the form that is required to match an answer choice.

It might also be useful for you to draw the net to scale on a piece of paper, cut it out, and fold it along the lines to actually make a triangular prism. A little hands-on is always helpful in math. It only takes 5 or 10 minutes and can give you great insight into both prisms and nets.

7 0
3 years ago
Carmella is purchasing a $105,000 home and her bank is offering her a 30-
GREYUIT [131]

Answer:

$132.93

Step-by-step explanation:

We will use annuity formula, which is:

P=C[\frac{1-(1+r)^{-n}}{r}]

Where P is the loan amount

C is the monthly payment

r is the rate of interest [monthly]

n is the time period [in months]

Firstly, let's calculate her normal monthly payment (without purchasing points):

P is 105,000

C is what we need to find

r is the 0.045/12 = 0.00375

n is 12*30 = 360

Now, we have:

P=C[\frac{1-(1+r)^{-n}}{r}]\\105,000=C[\frac{1-(1+0.00375)^{-360}}{0.00375}]\\105,000=C[197.3612]\\C=532.02

So <u>monthly payment would be around $532.02</u>

<u />

Now,

With each point purchase, the interest rate goes down by 0.25%, so for 2 points it will be 4.5% - 2(0.25) = 4%

Also, since 20% downpayment, the loan amount would be (0.8)(105,000) = 84,000.

Now, putting these values into the annuity formula we have:

84,000=C[\frac{1-(1+0.0033)^{-360}}{0.0033}]\\84,000=C(210.4766)\\C=399.09

The <u>monthly payment would be around $399.09</u>

<u />

The amount that is lower is  532.02 - 399.09 = $132.93

4 0
3 years ago
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