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2 years ago

Expand to write an equivalent expression -1/4 (-8x + 12y)

Mathematics

1 answer:

Tanzania [10]2 years ago

7 0

The equivalent expression on expanding -1/4 (-8x + 12y) is 2x - 3y

<h3>Expansion of expression</h3>

Expansion of expression can be carried out using the distributive rule a shown:

A(B + C) = AB + AC

Note that <u>A is distributed over B and C</u>
Given the expression

-1/4 (-8x + 12y)

-1/4(-8x) - 1/4(12y)

2x - 3y

Hence the equivalent expression on expanding -1/4 (-8x + 12y) is 2x - 3y

Learn more on expansion here: brainly.com/question/26430239

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Ms. Whodunit needs $15 000 to go on her dream vacation in four years. How much

lisov135 [29]

For each situation, we have that:

11) Using compound interest, it is found that she needs to invest $9,781.11 now.

12) Using the future value formula, it is found that you will have $728,753 after 48 years.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

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

In which:

A(t) is the amount of money after t years.

P is the principal(the initial sum of money).

r is the interest rate(as a decimal value).

n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(t) = 15000, t = 4, r = 0.055, n = 2.

Hence we solve for P to find the amount that needs to be invested.

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

$15000 = P\left(1 + \frac{0.055}{2}\right)^{2 \times 8}$

$(1.0275)^{16}P = 15000$

$P = \frac{15000}{(1.0275)^{16}}$

P = $9,718.11.

She needs to invest $9,781.11 now.

<h3>What is the future value formula?</h3>

It is given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

In which:

P is the payment.

n is the number of payments.

r is the interest rate.

For item 12, the parameters are given as follows:

P = 150, r = 0.07/12 = 0.005833, n = 48 x 12 = 576.

Hence the amount will be given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

$V(n) = 150\left[\frac{(1.005833)^{575}}{0.005833}\right]$

V(n) = $728,753.

You will have $728,753 after 48 years.

More can be learned about compound interest at brainly.com/question/25781328

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6 0

1 year ago

Indentify the percent of change as an increase or decrease. Then find the percent of change. Round to the nearest tenth of a per

lapo4ka [179]

2 goes into 4 only 2 times and 5 goes into 5 once

Write this down

3 0

3 years ago

Answer please answer please

Maru [420]

Step-by-step explanation:

angle EAB = 2x too, due to the laws of the same and mirrored angles when a line crosses 2 parallel lines.

the angle ABE is 180 - 6x, due to the fact that all angles around a single point on one side of a line ad up to 180 degrees.

similarly, the angle AEB is 180 - 4x.

and then we know the sum of all angles in a triangle is airways 180 degrees.

so,

180 = 2x + 180 - 4x + 180 - 6x

0 = 180 - 8x

8x = 180

x = 22.5

8 0

2 years ago

Robin wants to find out the number of salamanders by a pond near her house. She catches 45 of them, puts a leg band on each sala

Verdich [7]

Given:
1st week: caught 45 salamanders and put leg bands on them
2nd week: caught 50 salamanders and 3 have leg bands

3/50 = 0.06 of the salamander population have leg bands.

45 / 0.06 = 750 total number of salamanders

<span>45/750 = 0.06 or 6% </span>

The reasonable estimate of the number of salamanders by the pond is 750 salamanders.

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3 years ago

Fihd the area of the triangle.<br> 6<br> 8<br> square units

damaskus [11]

Answer:

area of triangle is

$\frac{1}{2} * b*h\\\\\frac{1}{2} *6*8\\\\6*4=24$

7 0

3 years ago