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2 years ago

If $500 were deposited into an account paying 5% interest, compound monthly, how much would be in the account in 4 years?

Mathematics

1 answer:

sashaice [31]2 years ago

4 0

Answer:

610.48

Step-by-step explanation:

The formula for compound interest is

A = P(1+r/n) ^nt where

A is the amount in the account

P is the principle

r is the interest rate

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

t is the time in years

A = 500(1+.05/12) ^12*4

A = 500(1+.0041666666) ^48

A = 500(1.0041666666) ^48

A = 500*1.220895355

A =610.4476775

Rounding to the nearest cent

A = 610.48

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A jet moving at constant speed traveled 6,600 km in 3 hours. What was the speed of the jet?

DanielleElmas [232]

Answer:

The speed of the jet is $2,200\frac{km}{h}$

Step-by-step explanation:

The speed traveled by the jet can be found using the relationship between distance and time. Because the problem gives the values for distance and time, they must be replaced in the equation and in this way the requested speed will be found.

1. Write the general equation for the speed:

$Speed=\frac{Distance}{Time}$

2. Replace the values of distance and time on the general equation for the speed and make the mathematical operations:

$Speed=\frac{6,600km}{3hours}$

$Speed=2,200\frac{km}{h}$

Therefore the speed of the jet is $2,200\frac{km}{h}$

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3 years ago

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Answer: y= -3/2x + 2
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3 years ago

Are the ratios 3:5 and 2:4 equivalent? yes or no

jeyben [28]

Answer:

No, they are not.

Step-by-step explanation:

A ratio can be written as a fraction. So 3:5 is the same as 3/5 and 2:4 is the same as 2/4.

3/5 = 2/4

0.6 = 0.5 INCORRECT

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Whats the Diameter? I really need help understanding this

Arada [10]

Answer:

1.8 in.

Step-by-step explanation:

Hi there!

1) Determine the radius of the base

$V=\frac{1}{3} \pi r^2h$ where r is the radius of the base and h is the height of the cone

Plug in the known values (h=4.2, V=3.6)

$3.6=\frac{1}{3} \pi r^2(4.2)$

Isolate r; divide both sides by 4.2

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Multiply both sides by 3

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Divide both sides by π

$\frac{18}{7\pi }=r^2$

Take the square root of both sides

$\sqrt{\frac{18}{7\pi }} =r$

2) Determine the diameter

Now that we have the radius, to find the diameter, multiply r by 2:

$d=\sqrt{\frac{18}{7\pi }}*2\\d=1.8$

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