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Bond [772]
3 years ago
11

What is the volume of a rectangle prism with a length of 8 1/2 centimeters width of 9 1/3 centimeters and a height of 12 2/5 cen

timeters
Mathematics
2 answers:
Gala2k [10]3 years ago
8 0

Answer:

983.733

Step-by-step explanation:

8.5 * 9 1/3 = 79 1/3

79 1/3 * 12 2/5 = 983.733

nikitadnepr [17]3 years ago
4 0

Answer: 983.7333333


Step-by-step explanation: v=l times w times h. 8 1/2 times 9 1/3 equals 79 1/3. Sooooo 79 1/3 times 12 2/5 equals 983.733333333 or about 983 7333/10000


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E) Natasha's parents want to support Natasha by saving $5000 for her college. They searched up for some investment options and c
Bas_tet [7]

Answer:

Amount she would have in 2 years at a simple interest of is

$5000 + ($5000 x 0.048 x 2) = $5480

Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :

$5000 x ( 1 +0.041/2)^4 = $5422.78

the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose

Step-by-step explanation:

Future value with simple interest = principal + interest

Interest = principal x interest rate x time

0.048 x 5000 x 2 = 480

future value = $480 + 5000 = $5480

The formula for calculating future value with compounding:

FV = P (1 + r)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years

5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78

8 0
3 years ago
Jack leaves from school and goes 4 miles north and 3 miles east to reach his home. How far is his home from school?
fiasKO [112]

Answer:

  • D. 5 miles

Step-by-step explanation:

Jack forms a right triangle with his route: the distance between the school and home is the hypotenuse.

<u>It is equal to:</u>

  • √4²+3²= √25 = 5 miles

Correct choice is D

3 0
3 years ago
Help please with this math ;-; I beg of you
RSB [31]

Answer:

49 - 9π

Step-by-step explanation:

Area of white portion = area of triangle - area of circle

To find the area of the triangle:

The area of a triangle can be calculated using this formula

A=\frac{bh}{2} where b = base length and h = height

The height given is 7m and the base length given is 14m

That being said we plug in the given values into the formula

\frac{14*7}{2} \\14*7=98\\\frac{98}{2} =49

Hence, the area of the triangle is 49 sq meters.

To find the area of circle

( note that the area is in terms of pi; shown by the answer choices. )

Formula for area of a circle = A=\pi r^2

We are given the diameter  ( 6m )

However, we need the radius

To convert diameter to radius we divide by 2

6/2 = 3 so the radius = 3m

Now we plug in 3 into the formula

A=\pi 3^2\\3^2=9\\A=9\pi

Remember we do not apply pi because the answer should be in terms of pi.

Now we subtract the two

Area of white portion = 49 - 9π

Hence, the answer is A

7 0
3 years ago
Read 2 more answers
Find the volume of a spere with radius of 7​
choli [55]

Formula for volume of sphere V = 4/3 (Pi) r^3, where Pi ~ 3.14 and r is the radius = 7.

Therefore V = 4/3 * 3.14 * 7^3

= 4/3 * 3.14 * 343

= 4/3 * 1077.02

= 1,436.02667 cubic units

6 0
4 years ago
Read 2 more answers
P &lt; 4.75 represents the prices p in dollars that Paige is willing to pay for popcorn. The inequality p &lt; 8.00 represents t
vesna_86 [32]

Answer:

1 theater

Step-by-step explanation:

Given

P --- Popcorn

P < 8.00 --- Movie

See attachment for the table that shows ticket and popcorn prices at five movie theater chains

Required

The number of theaters that supports the given inequality

The given inequality can be combined to give:

P < 4.75\ and\ P

From the table entries, only one theater supports this inequality.

Where

P = 4.25 --- Movie

P = 7.25  --- Popcorn

Which gives:

4.25 < 4.75\ and\ 7.25

7 0
3 years ago
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