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3 years ago

13

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t="-4\sqrt{15} *-3\sqrt{3}" align="absmiddle" class="latex-formula">

1 answer:

shtirl [24]3 years ago

7 0

Answer:

The answer is

<h2 /><h2>- 4 + 36√5</h2>

Step-by-step explanation:

- 4 - 4√15 × - 3√3

Multiply the terms

- 4 - ( 4×-3)(√15×3)

- 4 - (- 12)√45

Simplify

- 4 - (- 12)√9×5

- 4 - (-12)3√5

We have the final answer as

<h3>- 4 + 36√5</h3>

Hope this helps you

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Line segment AB has endpoints A(-1.5, 0) and B(4.5 8). Point C is on line segment AB located at (0, 2)

Pie

Answer:

The ratio of AC/CB=1/3

Step-by-step explanation:

We use the section formula:

$(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

We substitute the point A(-1.5,0) and B(4.5,8).

We plug in the points to get:

$(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n})$

This is supposed to be equal to: (0,2).

$(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n}) = (0,2)$

We can equate, corresponding coordinates to find m and n.

$\frac{4.5m - 1.5n}{m + n} = 0$

This implies that:

$4.5m - 1.5n = 0$

$4.5m = 1.5n$

$\frac{m}{n} = \frac{1.5}{4.5}$

$\frac{m}{n} = \frac{1}{3}$

Therefore the ratio is m:n=1:3

4 0

3 years ago

2. original: $20.00<br> percent of discount: 40%

GalinKa [24]

Answer:

8

Step-by-step explanation:

7 0

3 years ago

A bank loans a family $90,000 at 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making

Naily [24]

Using it's formula, it is found that the monthly payment should be of $688.49 in order to pay off the debt in 15 years.

<h3>What is the monthly payment formula?</h3>

It is given by:

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

In which:

P is the initial amount.

r is the interest rate.

n is the number of payments.

For this problem, the parameters are given as follows:

A = 90000, r = 0.045, n = 15 x 12 = 180.

Hence:

r/12 = 0.045/12 = 0.00375.

Then we solve for A to find the monthly payment, as follows.

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

$A = 90000(0.00375)\frac{(1.00375)^{180}}{(1.00375)^{180} - 1}$

A = $688.49

More can be learned about the monthly payment formula at brainly.com/question/22846480

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2 years ago

Probabilities are _____ one.

katovenus [111]

D.greater than or equal to one

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3 years ago

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solmaris [256]

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4 years ago