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Kobotan [32]
3 years ago
15

Factor the algebraic expression. 24a + 15 24a + 15 =

Mathematics
2 answers:
Step2247 [10]3 years ago
5 0

Answer:

24a + 15

a= 24 - 15

= 09

a = 9 answer.

hichkok12 [17]3 years ago
3 0

Answer:

x = 5/8

Step-by-step explanation:

24a = 15

Divide both sides by 24:

24a ÷ 24 = 15 ÷ 24

x = 5/8

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Use the exponential function y=500(.9)^x to find the value of the video game console after 4 years.
zysi [14]

Answer:

328.05 dollars

7 years

Step-by-step explanation:

1.

y=500(.9)^4 =328.05

What is being asked in the problem and what does that mean?

We are asked to the price of the video game after 4 years.

What do I know and what does it mean? What plan am I going to try?

We know the <u>initial price is $500</u>, the <u>value depreciates 10% each year </u>because we have .9 or 90% of the price going into the next year.

- value of the video game after first year 90% of 500 so is 450

- value of the video game after second year 90% of 450 so is 405

-value of the video game after third year 90% of 405 so is 364.5

-value of the video game after <u>fourth year</u> 90% of 364.5 so is 328.05

The plan is to substitute x with 4 and calculate y, y=500(.9)^4

What is your answer and what does it mean?

The answer is $328.05, and it means that the video game that was initially worth $500 it lost its' value by 10 % each of the four years.

2.

         y= 500(.9)^x

----------------------------------------------------------------------------

x =8, y= 500(0.9)^8 = 215.234 ≈215.23, this is less than $250

x = 7, y= 500(0.9)^7 = 239.148 ≈239.15, this is less than $250

x =6, y= 500(0.9)^6 = 265.721 ≈ 265.72, this is more than $250

What is being asked in the problem and what does that mean?

We are asked to find the value of x that represents the years such that the value of the console is still under $250.

What do I know and what does it mean? What plan am I going to try?

We know the value of y has to be less that $250, we know the inequality

[500(.9)^x ] < 250, the plan is to try different values for x until we have the maximum value of x that gives us less than 250.

8 0
3 years ago
The point (-3,3) lies on a circle. What is the length of the radius of this circle if the center is located at (10,6) ?
Amiraneli [1.4K]
The radius is from center to point on a circle. 
So your task is  count distance between two points: S(10,6) and A(-3,3). 
Distance between two points A(x1, y1) and B(x2, y2)  count from this formula:
|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ \hbox{So:} \\ \\ r=|SA|=\sqrt{(-3-10)^2+(3-6)^2}=\sqrt{(-13)^2+(-3)^2}=\sqrt{169+9}= \\ r= \sqrt{178}
5 0
3 years ago
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How do i solve this question?
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Listen to System of a Down slipknot deftones my chemical romance ptv Green Day and more
8 0
3 years ago
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Brody deposited $500 into an account that earns 4.2% interest compounded annually. He makes no additional deposits and no withdr
Flauer [41]
The total interest will be $167

5 0
3 years ago
Assume m&lt;2 = 35°. Find the measure of all of the other
soldi70 [24.7K]

  1. m<1 = 145 | Supplementary
  2. m<3 = 35 | Vertical
  3. m<4 = 145 | Supplementary
  4. m<5 = 145 | (With Angle 4) If parallel then alternate interior angles congruent
  5. m<6 = 35 | (With Angle 5) Supplementary
  6. m<7 = 35 | (With Angle 6) Vertical
  7. m<8 = 145 | (With Angle 7) Supplementary

Hope it helps <3

(If it does, maybe brainliest :) Need one more for rank up)

6 0
3 years ago
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