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3 years ago

Find the radius of a sphere whose volume is 12345mm

Mathematics

1 answer:

MrMuchimi3 years ago

6 0

Answer:

14.34mm

Step-by-step explanation:

The formula for the volume of a sphere = 4/3nr³

where

n = 22/7

r = radius

give the volume of the sphere, we can determine the radius

12345 = 4/3 x 22/7 x r³

12345 = 88/21 x r³

divide both sides by 21/88

r³ = 2945.965909

take the cube root of both sides

r = 14.34 mm

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Terrence opens a savings account with a deposit of $1000. After 1 year he receives $50 in interest. What is the annual interest

geniusboy [140]

Answer:

Step-by-step explanation:

So, I'm pretty sure this is a problem about compound interest.

The formula for compound interest is A = p(1 + r/n)^nt

For this problem, $1000 is p, the initial amount; A is the total amount, or $1050.

What the problem is asking for is r, the interest rate, which is divided by n. N is the number of times the interest rate is compounded per year; Since the question is asking for the annual interest rate, N would be equal to 1. And because Terrence is has only left his money in for a year, t would also be equal to one.

So, by filling in the formula some, we get this:

$1050 = $1000(1 + r/1)^1*1

To find r, we would need to isolate it in the problem.

1. First, distribute $1000 to the parenthesis(keep in mind that 1000, is also equal to 1000/1:

1050 = (1000 + 1000r/1)^1

2. Then subtract 1000 from both sides:

50 = (1000r/1)^1

3. Multiple both sides by one:

50 = (1000r)^1

4. Divide both sides by 1000:

.05 = r^1 or .05 = r.

The answer is A, 5%.

8 0

3 years ago

Graph the following Line:<br> 6x+3y=6

yulyashka [42]

Answer:

Visit geogebra.com

Step-by-step explanation:

none needed <3

8 0

3 years ago

Read 2 more answers

Please help me out! As soon as possible.

Liula [17]

Answer:

Number of hours gardening

Step-by-step explanation:

12g

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6 0

2 years ago

A bike path is 3 miles long. there are distance markers every path one fourth mile to the end of the path. which number line cor

Fynjy0 [20]

Given :

A bike path is 3 miles long. there are distance markers every path one fourth mile to the end of the path.

To Find :

Which number line correctly models this situation and the total number of distance markers.

Solution :

It is given that their are markers every 1/4 part of mile.

So, their are 4 markers per mile.

Numbers of markers in 3 miles long path is :

$n = 3\times 4\\\\n = 12$

Therefore, the total number of distance markers in 3 mile path is 12.

Hence, this is the required solution.

5 0

3 years ago

Marie purchased a 29.00 gift. She uses a coupon that offers 30 percent. How much will she spend on the gift after the coupon?

asambeis [7]

Answer:

$20.30

Step-by-step explanation:

The usual price of the gift is $29.00

Marie will get 30% DISCOUNT on this price if she uses her coupon. So, the final price would be 30% less than $29.00

First, we need to find 30% of $29.00. Then we need to subtract that from original price (29).

Convert percentage to decimal first:

30% = 30/100 = 0.3

Now multiply this with 29 to get:

0.3 * 29 = $8.70

We subtract this from original price to get DISCOUNTED PRICE:

$29.00 - $8.70 = $20.30

6 0

3 years ago