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erastova [34]
3 years ago
13

**BRAINLIEST FOR CORRECT ANSWERS** 10 POINTS **Please answer the problems in the follow pictures correctly.

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
3 0
1. a
2. c
3. a
4. b
5. c

explanations:
1. the opposite of -4 is 4. you can think of this two ways: the opposite of a negative is always absolute value, or the opposite of a negative is always positive.
2. above
3. -5 > -8 because the distance -5 is from 0 is 5, and the distance from -8 to 0 is 8. 8 > 5, so -8 is farther away than -5.
4. while -8 is less than -6, but absolute value would turn -8 into 8, which is greater than -6
5. explained by all above.
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What is the solution for x in the equation 5/3 x +4=2/3 x
777dan777 [17]

Answer:

x = - 4

Step-by-step explanation:

Given

\frac{5}{3} x + 4 = \frac{2}{3} x

Multiply through by 3 to clear the fractions

5x + 12 = 2x ( subtract 2x from both sides )

3x + 12 = 0 ( subtract 12 from both sides )

3x = - 12 ( divide both sides by 3 )

x = - 4

7 0
3 years ago
Round 96.466 to the nearest hundredth=
DedPeter [7]
96.47 would be your answer rounded to the nearest hundredth
3 0
3 years ago
Read 2 more answers
Find the ratio of the area of the first figure to the area of the second.
geniusboy [140]
I think the answer would be 36:16 because if you do the area of the first figure (6x6) it equals 36 and the second figure (4x4) it equals 16
4 0
2 years ago
Slope -3/7 and goes thru (9,-11)
goblinko [34]

The equation of line is ,

\begin{gathered} (y-(-11))=\frac{-3}{7}(x-9) \\ y+11=\frac{-3}{7}x+\frac{27}{7} \\ y=\frac{-3}{7}x+\frac{27}{7}-11 \\ y=\frac{-3}{7}x-\frac{50}{7} \end{gathered}

3 0
1 year ago
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

#SPJ1

6 0
1 year ago
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