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Novosadov [1.4K]
3 years ago
13

A block of ice is in the shape of a rectangular prism. The ice block has a volume of 9,600 cubic inches. After being in a warm a

rea, the size of the block is now 18 inches by 12 inches by 20 inches.
What is the difference between the volume of the ice block before and after it melted?
Mathematics
1 answer:
Musya8 [376]3 years ago
3 0

Answer:

5280 cubic inches

Step-by-step explanation:

V= l * w * h

V= 18 * 12 * 20

V= 4320 cubic inches

Then do the first measurement subtracted by the second one because it wants to know the difference.

9600 - 4320 = 5280 cubic inches

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A gold coin appreciated in value from $200.00 to $475.00 in 6 years. Find the yearly rate of appreciation. Show or explain all w
Travka [436]

Answer:

16%

Step-by-step explanation:

To solve this we are using the standard growth equation:

y=a(1+b)^x

Were

y is the final value after x years

a is the initial value

b is the growth factor (yearly rate of appreciation in our case) in decimal form

x is the time in years

We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so y=475, a=200, and x=6.

Let's replace the values in our equation and solve for b:

y=a(1+b)^x

475=200(1+b)^6

\frac{475}{200} =(1+b)^6

2.375=(1+b)^6

\sqrt[6]{2.375} =\sqrt[6]{(1+b)^6}

1+b=\sqrt[6]{2.375}

b=\sqrt[6]{2.375}-1

b=0.155

which rounds to

b=0.16

Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:

0.16*100% = 16%

We can conclude that the yearly appreciation rate of our gold coin is approximately 16%

3 0
3 years ago
Problem 1: Write each expression in the form a^b, without using any radicals.
VARVARA [1.3K]

By radical do you mean the square root symbol?

7 0
3 years ago
Help and show all work please
Anarel [89]

Answer:

1-3

2-8.9

3-6.3

4-26

5-7.8

6-17

7-10

8-32

9-7.9

10-13.2

11- is a right triangle

12- is not a right triangle

13- is a right triangle

14- is not a right triangle

15- is a right triangle

16- is not a right triangle

Step-by-step explanation:

I will do the rest it will just take me some time. I will also give you

step by step at the end.

7 0
3 years ago
Read 2 more answers
Bailee had a gross income of $2358.33 during each pay period in 2009. If she got paid monthly, how much of her pay was deducted
wariber [46]
FICA is 6.2% of your gross compensation. To calculate the amount deducted for FICA, determine the gross compensation in 2009. In this problem, Bailee's gross income per month is $2358.33.

Yearly income:

$2358.33 * 12 months = $28,299.96

Thus, the FICA deduction is $1754.60
8 0
3 years ago
Read 2 more answers
Marcus is building a fence around his rectangular backyard. The length of his backyard is 75 3/4 ft, and the width is 81 1/4 ft.
Allisa [31]

Answer:

Step-by-step explanation:

Answer:

4,923.75ft²

Step-by-step explanation:

The area of the backyard = Length * width \

Area of the backyard = 75 3/4 * 81 1/4

Area of the backyard = 303/4 * 325/4

Area of the backyard = 6,154.6875ft²

If 3/4 of the fence is finished, the area of the finished part is expressed as;

Finished part = 1/5 * 6,154.6875

Finished part = 1,230.9375ft²

Part left unfinished = 6,154.6875-1,230.9375

Part left unfinished  = 4,923.75ft²

4 0
3 years ago
Read 2 more answers
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