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taurus [48]
3 years ago
10

Algebra 2

Mathematics
1 answer:
asambeis [7]3 years ago
6 0
She can own 41 necklaces
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What steps should be taken to calculate the volume of the prism? Select three options. A rectangular prism with a length of 9 an
fgiga [73]

The steps to be taken to determine the volume of the rectangular prism are:

Use A = bh to find the area of the base.

Use V = Bh to find the volume of the prism.

Volume of the prism, V = (228)(6) = 1,368 feet cubed.

<h3>How to Find the Volume of a Rectangular Prism?</h3>

A rectangular prism has a height, base, and width. The volume of the rectangular prism can be found by using the following steps:

  • Find the base area of the rectangular prism using the formula, A = bh, where b is the base length and h is the height of the base.
  • Then, find the Volume using the formula, V = Bh, where B is the base area and h is the height of the prism.

Parameters are:

Length of prism = 9 and one-half feet,

Width of prism = 24 feet,

Height of prism = 6 feet

Given the dimensions of the rectangular prism above, do the following:

Find the area of the base of the rectangular prism:

Area of base = (9 1/2)(24) = 228 cm²

Find the Volume of the prism using V = Bh :

Volume of the prism = (228)(6) = 1,368 feet cubed.

Therefore, the steps to be taken to determine the volume of the rectangular prism are:

  • Use A = bh to find the area of the base.
  • Use V = Bh to find the volume of the prism.
  • Volume of the prism, V = (228)(6) = 1,368 feet cubed.

Learn more about volume of the rectangular prism on:

brainly.com/question/12917973

#SPJ1

3 0
2 years ago
You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us
Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that    

step 1

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

r=10\%=10/100=0.10\\n=4  

substitute in the formula above

A=P(1+\frac{0.10}{4})^{4t}  

A=P(1.025)^{4t}  

Applying property of exponents

A=P[(1.025)^{4}]^{t}  

A=P(1.1038)^{t}  

step 2

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

r=10\%=10/100=0.10  

substitute in the formula above

A=P(e)^{0.10t}  

Applying property of exponents

A=P[(e)^{0.10}]^{t}  

A=P(1.1052)^{t}  

step 3

Compare the final amount

P(1.1052)^{t} > P(1.1038)^{t}

therefore

Find the difference

P(1.1052)^{t} - P(1.1038)^{t} ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

3 0
3 years ago
Jim and Krutika are marking exam papers. Each set takes Jim 50 minutes and Krutika 1 hour. Express the times Jim and Krutika tak
vlabodo [156]

Answer:

5:6

Step-by-step explanation:

7 0
3 years ago
Helpppppppppppppy pls
s344n2d4d5 [400]

Answer:

Step-by-step explanation:

5 0
3 years ago
2)
RUDIKE [14]

Option B) (x + 3)^2 − 5 is the correct answer

Step-by-step explanation:

Given expression is:

x^2+6x+4

We will solve eah expression in the options to chek which is equivalent to given expression

So,

<u>A) (x + 3)^2 + 5</u>

(x + 3)^2 + 5 = x^2+6x+9+5 \\= x^2+6x+14

NOT equivalent

<u>B) (x + 3)^2 − 5</u>

(x + 3)^2 − 5 = x^2+6x+9-5\\= x^2+6x+4

Equivalent

Hence,

Option B) (x + 3)^2 − 5 is the correct answer

Keywords: Equivalent expressions, polynomials

Learn more about polynomials at:

  • brainly.com/question/2116906
  • brainly.com/question/2131336

#LearnwithBrainly

5 0
3 years ago
Read 2 more answers
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