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andrezito [222]
3 years ago
15

Allie wants to take dance lessons. It costs $50 to rent the studio and $20 per lesson. If Allie has $130 for dance lessons. Up t

o how many lessons will Allie be able to take with the amount of money, she has budgeted for dance lessons. (WRITE An INEQUALITY)
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
7 0
She would have 6 or 7 lessons 130 divided by 20 = 6.5
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F(x) = 15,000(.84) shows the value of a car each year. Describe the following:
makvit [3.9K]

Answers:

  • a) 15000 represents the starting amount
  • b) The decay rate is 16%, which means the car loses 16% of its value each year.
  • c) x is the number of years
  • d) f(x) is the value of the car after x years have gone by

========================================================

Explanation:

We have the function f(x) = 15000(0.84)^x. If we plug in x = 0, then we get,

f(x) = 15000(0.84)^x

f(0) = 15000(0.84)^0

f(0) = 15000(1)

f(0) = 15000

In the third step, I used the idea that any nonzero value to the power of 0 is always 1. The rule is x^0 = 1 for any nonzero x.

So that's how we get the initial value of the car. The car started off at $15,000.

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

The growth or decay rate depends entirely on the base of the exponential, which is 0.84; compare it to 1+r and we see that 1+r = 0.84 solves to r = -0.16 which converts to -16%. The negative indicates the value is going down each year. So we have 16% decay or the value is going down 16% per year.

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

The value of x is the number of years. In the first section, x = 0 represented year 0 or the starting year. If x = 1, then one full year has passed by. For x = 2, we have two full years pass by, and so on.

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

The value of f(x) is the value of the car after x years have gone by. We found that f(x) = 15000 when x = 0. In other words, at the start the car is worth $15,000. Plugging in other x values leads to other f(x) values. For example, if x = 2, then you should find that f(x) = 10584. This means the car is worth $10,584 after two years.

7 0
2 years ago
The diameter of a circle is:
Ann [662]

Answer:

The distance from an edge of a circle to another edge

Step-by-step explanation:

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3 years ago
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Please help me solve my problem!!!
Nookie1986 [14]

Answer:

B. sometimes

Step-by-step explanation:

Consecutive angles of a parallelogram are same side interior angles of two parallel lines cut by a transversal, so they are always supplementary.

Supplementary angles are two angles whose measures add to 180 deg.

If two angles are supplementary and one angle measures 90, then the other angle also measures 90 deg, and the two angles are congruent. If one angle measures less than 90 deg, then the other measure more than 90 deg and are not congruent. Therefore, these angles may or may not be congruent.

Answer: sometimes

7 0
3 years ago
What is <br> 30% of 120 <br><br> I Really want to get it right because the POSSIBLE POINTS: (25)
Blizzard [7]

Answer:

the answer is 36

hope i helped

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3 years ago
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If Carbon Monoxide had a concentration in the air of 0.000518% how many particles out of 331,002,651 would be Carbon Monoxide?
Alex17521 [72]

Answer:

171,459 particles of CO

Step-by-step explanation:

331,002,651×0.000518 = 171459

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