A person invests 1000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 1600 dollars?

The amount is $8358.7 and the interest is $3858.7.

Step-by-step explination

STEP 1: To find amount we use formula:

A = P

1 +

r

n

n·t

A = total amount P = principal or amount of money deposited, r = annual interest rate n

= number of times compounded per year t = time in years In this example we have

P = $4500 , r = 7% , n = 2 and t = 9 years

After plugging the given information we have

A = 4500

1 +

0.07

2

2·9

A = 4500 · 1.03518

A = 4500 · 1.857489

A = 8358.7

STEP 2: To find interest we use formula A = P + I, since A = $8358.7 and P = $4500 we

have:

A = P + I

8358.7 = 4500 + I

I = 8358.7 − 4500

I = 3858.7

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere