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fenix001 [56]
2 years ago
15

Simplify. 8c³d²/4cd²

Mathematics
1 answer:
loris [4]2 years ago
6 0

Answer:

2c exponent 4 d exponent 4

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A person invests $1,150 in an account that earns 5% annual interest compounded continuously. Find when the value of the investme
AfilCa [17]

Answer:

11.1 years

Step-by-step explanation:

The formula for interest compounding continuously is:

A(t)=Pe^{rt}

Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years.  Filling in what we have looks like this:

2000=1150e^{{.05t}

We will simplify this first a bit by dividing 2000 by 1150 to get

1.739130435=e^{.05t}

To get that t out the exponential position it is currently in we have to take the natural log of both sides.  Since a natural log has a base of e, taking the natual log of e cancels both of them out.  They "undo" each other, for lack of a better way to explain it.  That leaves us with

ln(1.739130435)=.05t

Taking the natural log of that decimal on our calculator gives us

.5533852383=.05t

Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.

7 0
3 years ago
A swimming pool is a rectangular prism. The pool is 36 feet long and 20 feet wide. What is the total amount of water, in cubic f
Sliva [168]

Answer:

2880\ ft^{3}

Step-by-step explanation:

The computation of the total amount of water needed could be determined by using the volume formula which is shown below:

Volume = L \times W \times D

where

L = length,

W = width,

and D = depth.

Now putting the values to the above formula

Volume = (36\ ft) \times (20\ ft) \times (4\ ft) \\\\= 2880\ ft^{3}                            

Therefore, the  total amount of water needed is 2880\ ft^{3}

We simply applied the above formula

4 0
3 years ago
Write the algebraic expression that is represented by the model
Salsk061 [2.6K]
3x+2y=5

Hop this helps
4 0
3 years ago
Read 2 more answers
Find slope and y-intercept formed the graph if the linear equation <br>y=1/4x-8​
RSB [31]

Answer:

not sure exactly what its asking but if its asking the slope and y-intercept of this equation is here.

Step-by-step explanation:

the slope is 1/4 while the y-intercept is -8 or (0,-8)

3 0
3 years ago
Read 2 more answers
HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a family party
Tamiku [17]

Answer:

Your answer would be:

57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:

2

Point 2 3/4:

4

Point 3:

1

Point 3 1/2:

2

Point 3 3/4:

3

Point 4:

1

Point 4 1/4:

4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

3 0
2 years ago
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