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3 years ago

13

John invests $750 into an account that makes 3.75 percent interest compounded quarterly. What will his account balance be after

3 years?

1 answer:

Zielflug [23.3K]3 years ago

6 0

A=750×(1+0.0375÷4)^(4×3)
A=838.86

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The perimeter of a rectangle is 128 cm, and the ratio of its sides is 5: 3. Find the area of a rectangle

Juliette [100K]

Answer:

Area = 960 cm^2

Step-by-step explanation:

Perimeter (P) = 2 (l + w)

P = 2l + 2w

Let the length be 5x

Let the width be 3x

From the question, P = 128.

Therefore:

128 = 2l + 2w

Divide both sides by 2.

l + w = 64

Recall we said:

l = 5x

w = 3x

So then:

5x + 3x = 64

8x = 64

Divide both sides by 8

x = 64/8

x = 8.

Since x = 8

Length = 5x = 5*8 = 40cm

Width =3x = 3 * 8 = 24cm

Area of a RECTANGLE:

Area = length * width

Area = 40 * 24

Area = 960 cm^2

7 0

3 years ago

Does 4/5 equal to 2/7 if not please use < Or >

Darya [45]

4/5 > 2/7 is the answer

God bless!

8 0

3 years ago

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What is the value of -44.4-7?

KengaRu [80]

Answer:

-51.4

Step-by-step explanation:

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3 years ago

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3/7 of 8th graders play sports. is 3/5 of the 8th graders that play sports are boys, what fraction of the 8th graders are boys

Svetach [21]

Answer:

$\dfrac{9}{35}$ is the fraction of 8th graders who are boys.

Step-by-step explanation:

Let total number of 8th graders = $x$

Given that, $\frac{3}{7}$ of 8th graders play sports

$\Rightarrow$ 8th graders who play sports = $\frac{3}{7} \times x$

Also, Given that, $\frac{3}{5}$ of 8th graders that play sports are boys

Number of 8th graders that play sports, and are boys = $\frac{3}{5} \times \text{Number of 8th graders who play sports}$

$\Rightarrow \dfrac{3}{5} \times \dfrac{3}{7} \times x\\\Rightarrow \dfrac{9}{35} \times x$

Hence, the answer is:

$\dfrac{9}{35}$ is the fraction of 8th graders who are boys.

6 0

3 years ago

Write a two-columm proof

Nastasia [14]

Both angles 2x+6 and 96 shown are vertically opposite angles and vertically opposite angles are always equal

so 2x+6 should be equal to 96

so 2x + 6 = 96

Now we have to solve for x here and have to get x by itself on left hand side

So first get rid of +6 by doing its opposite -6 on both sides

2x + 6 -6 = 96 -6

2x = 90

Now to get x by itself we have to get rid of 2, for that divide both sides by 2

$\frac{2x}{2} = \frac{90}{2}$

x = 45

Hence proved that x = 45

4 0

3 years ago