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katovenus [111]
3 years ago
7

You are saving for a skateboard that costs $125. Your aunt gives you $45 to start and you save $3 each week. The expression 45 +

3w gives the amount of money you save after (w) weeks.
a. How much will you have after 4 weeks, 10 weeks, and 15 weeks? Show your work.


b. After 20 weeks, can you buy the skateboard? Explain your answer.
Mathematics
1 answer:
AnnZ [28]3 years ago
5 0

Answer:

4 weeks= $57

45+3(4)

45+12=57

10 weeks= $75

45+3(10)

45+30=75

15 weeks= $90

45+3(15)

45+45=90

20 weeks=$105

No there is not enough money because you are $20 short after 20 weeks. You need to wait 7 more weeks




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3 years ago
The number of visits to public libraries increased from 1.5 billion in 1991 to 1.7 billion in 1996. Find the average rate of cha
nexus9112 [7]

The average rate of change between 1991 and 1996 is 40 million

<h3>How to determine the average rate of change between 1991 and 1996?</h3>

The given parameters are:

Population in 1991 = 1.5 billion

Population in 1996 = 1.7 billion

The average rate of change between 1991 and 1996 is calculated as:

Rate = (1.7 billion -1.5 billion)/(1996 - 1991)

Evaluate

Rate = 40 million

Hence, the average rate of change between 1991 and 1996 is 40 million

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6 0
2 years ago
E^2x -2e^x -8=0<br><img src="https://tex.z-dn.net/?f=%20%7Be%7D%5E%7B2x%7D%20-%20%20%7B2e%7D%5E%7Bx%7D%20-%208%20%3D%200" id="Te
vovikov84 [41]
E^2x -2e^x -8=0   =>    e<span>^(2x)  -2e^x -8=0

Temporarily replace e^x with y.

Then (y)^2 - 2y - 8 = 0.  Factors are (y-4) and (y+2).

Roots are y = 4 and y= -2.

Now remembering that we temporarily replaced e^x with y, we let 
y=4 = e^x.  We need to solve for x.  Taking the natural log of both sides, we get:

ln 4 = x (answer)

We have to discard the other root (y= -2), because we cannot take the ln of a negative number.


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8 0
3 years ago
A certain radioactive material decays in such a way that the mass in kilograms remaining after t years is given by the function
Angelina_Jolie [31]

The mass of radioactive material remaining after 50 years would be 48.79 kilograms

<h3>How to determine the amount</h3>

It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.

Given the radioactive decay formula as

m(t)=120e−0.018t

Where

t= 50 years

m(t) is the remaining amount

Substitute the value of t

m(t) = 120e^-^0^.^0^1^8^(^5^0^)

m(t) = 120e^-^0^.^9

Find the exponential value

m(t) = 48.788399

m(t) = 48.79 kilograms to 2 decimal places

Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms

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7 0
2 years ago
. Evaluate the expression below for x = 4. 6(x+8) (please ​
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Answer:

D

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72

3 0
3 years ago
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