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mote1985 [20]
3 years ago
8

This is an example of the commutative property? -4 + 8 + -7 = -7 +8 + -4 *

Mathematics
1 answer:
solong [7]3 years ago
7 0
Boo it’s true ! i gotchu :)
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Use the compound interest formulas A=P1+
Bingel [31]

The accumulated value of an investment if the money is a. compounded​ semiannually; b. compounded​ quarterly; c. compounded​ monthly; d. compounded continuously is $30731.4 $ , $30785.98  $30823.14 , 30841.95

<h3>What is Interest ?</h3>

Interest is the amount received by a person as a result of investing certain amount of money for a certain period of time.

It is given that

Principal = $ 25000

Time = 3 years

Interest Rate = 7 %

The amount is given by

\rm A = P( 1+ \dfrac{r}{n}) ^{nt}

Compounded semiannually

n = 2

Compounded Quarterly

n = 4

Compounded Monthly

n =12

Compounded Continuously

P = P₀ \rm e ^{rt}

Therefore the accumulated value for

compounded Semiannually is

\rm A = 25000( 1+ \dfrac{7}{200}) ^{2*3}

A = $30731.4

Compounded Quarterly

\rm A = 25000( 1+ \dfrac{7}{400}) ^{4*3}

A = $30785.98

Compounded Monthly

\rm A = 25000( 1+ \dfrac{7}{1200}) ^{12*3}

A = $30823.14

Compounded Continuously

\rm P = 25000 e ^{ 7 * 3 }

P = $30841.95

Therefore the accumulated value of an investment if the money is

a. compounded​ semiannually; b. compounded​ quarterly; c. compounded​ monthly; d. compounded continuously is

$30731.4 $ , $30785.98  $30823.14 , 30841.95

To know more about Interest

brainly.com/question/13324776

#SPJ1

5 0
2 years ago
The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1
marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • r = 6 cm
  • h = 18 cm

\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}

<h3><u>Cube</u></h3>

\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}

Given:

  • x = 8 cm

\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

    1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will <u>not</u> come over the top of the container.

4 0
2 years ago
A total of 200 songs were played at a party in the ratio of 3 : 2 : 5. if the amount representing Vybez Kartel is 5 How many of
Jobisdone [24]

Answer:

100

Step-by-step explanation:

Because it would be the most common it would make no sense if any of the other options would represent the value of 2 and 3 if it had it would go over the amount of 200. But if they were represented by numbers 3 would be 60 and 2 would be 40 multiplying by two and ofc 5 would be 100.

6 0
3 years ago
Read 2 more answers
If f(x) = 3x2, what is the x-coordinate of the point of intersection of the graphs of y = f(x) and y = f(x − 4)?
Minchanka [31]

Step-by-step explanation:

When f(x) = f(x - 4), 3x² = 3(x - 4)².

=> x² = (x - 4)², x = -(x - 4), 2x = 4, x = 2.

The x-value is 2.

8 0
3 years ago
Find the distance between the points (-2, 4) and (4, -6).<br> 0 212<br> 2/(10)<br> O2V(34)
Fittoniya [83]

Answer:

2\sqrt{34}

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (4, - 6)

d = \sqrt{(4+2)^2+(-6-4)^2}

  = \sqrt{6^2+(-10)^2}

  = \sqrt{36+100}

  = \sqrt{136} = \sqrt{4(34)} = \sqrt{4} × \sqrt{34} = 2\sqrt{34}

5 0
3 years ago
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