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riadik2000 [5.3K]
3 years ago
13

What is 4/5 x 7/12 as a fraction

Mathematics
1 answer:
stepladder [879]3 years ago
5 0

Answer:

4/5 x 7/12 = 28/60 as simplified as 7/15 in fraction form. 4/5 x 7/12 = 0.4667 in decimal form.

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Simplify each expression
Rasek [7]

Answer:

= a⁸/b⁻¹⁰

Step-by-step explanation:

Simplify the expression

(a^2b^-3/a^-2b^2)^2

= a⁴b⁻⁶/a⁻⁴b⁴

Using the law of indices

= a⁴⁻⁽⁻⁴⁾/b⁻⁶⁻⁴

= a⁴⁺⁴/b⁻¹⁰

= a⁸/b⁻¹⁰

6 0
3 years ago
calculate the following showing populations the temperature in Johannesburg was 15° it drastically decreased by 17 °c what is th
rusak2 [61]

Answer:

-2 degrees Celsius.

Step-by-step explanation:

15 - 17 = -2

8 0
3 years ago
Read 2 more answers
The fourth term of an arithmetic
yulyashka [42]

Answer:

2

Step-by-step explanation:

<u>Given AP where:</u>

  • a₄ = 2a₂ - 1
  • a₆ = 7

<u>To find</u>

  • a₁ = ?

<u>Since</u>

  • a₄ = a₁ + 3d
  • a₂ = a₁ + d
  • a₆ = a₁ + 5d

<u>Initial equations will change as:</u>

  • a₁ + 3d = 2(a₁ + d) - 1  ⇒  a₁ + 3d = 2a₁ + 2d - 1 ⇒ a₁ = d + 1
  • a₁ + 5d = 7 ⇒ a₁ = 7 - 5d

<u>Comparing the above:</u>

  • d + 1 = 7 - 5d
  • 6d = 6
  • d = 1

<u>Then:</u>

  • a₁ = d + 1 = 1 + 1 = 2
  • a₁ = 2

The first term is 2

5 0
4 years ago
Solve 3x + 8 = 2x + 21
iren [92.7K]
<h2>Answer:</h2>

<h3>x = 13 </h3><h2>Step-by-step explanation:</h2>

<h3>3x+8=2x+21</h3><h3>solve for x3x8-2x+21</h3><h3>x8=21</h3><h3>x=21-8=13</h3><h3>solution is x=13/</h3>

<h2>HOPE IT HELPS!!!</h2>

<h2>PLZ I NEED BRAINLIEST!!</h2>

6 0
3 years ago
Read 2 more answers
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
2 years ago
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