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o-na [289]
2 years ago
10

A car purchased for $34,000 is expected to lose value, or depreciate, at a rate of 6% per year. Using x for years and y for the

value of the car, write the equation that models this situation. After how many years is the car first worth less than $21,000
Mathematics
1 answer:
lilavasa [31]2 years ago
7 0
The equation is y=34000(1-0.06)ˣ.

It will take nearly 8 years for the car to lose enough value to be worth less than $21,000.

Using 21,000 for y, we have
21000=34000(1-0.06)ˣ
21000=34000(0.94)ˣ

Dividing both sides by 34000:
21000/34000 = 34000(0.94)ˣ/34000
(21/34) = 0.94ˣ

Using logarithms to solve this,
\log_{0.94}(\frac{21}{34})=x
\\x=7.79 \approx8
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steposvetlana [31]

The answer is 104.

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78 - 7 = $71

3 0
3 years ago
I need help with this one. It’s #6. :((
jonny [76]

Answer:

C

Step-by-step explanation:

f(x) = 2ˣ + 1

-f(x) = -(2ˣ) − 1

First, let's find the y-intercept.

-f(0) = -(2⁰) − 1 = -2

Only C can be correct.

6 0
2 years ago
Last time, one out of every 4 students in our class was absent. This time, after Jen came back, only one out of every 5 students
VMariaS [17]

Answer: There are 20 students and 4 students are not here today.

Step-by-step explanation:

If the number of students = 4

Let the number of students be 'x'.

Fraction of students absent = \dfrac{x}{4}

If the number of students = 5

Fraction of students absent = \dfrac{x}{5}

And Jen came back,

So, the fraction of student absent is also written as

\dfrac{x}{4}-1

According to question, it becomes,

\dfrac{x}{5}=\dfrac{x}{4}-1\\\\\dfrac{x}{5}=\dfrac{x-4}{4}\\\\4x=5(x-4)\\\\4x=5x-20\\\\4x-5x=-20\\\\-x=-20\\\\x=20

Hence, there are 20 students in our school.

And number of students are not here today is \dfrac{20}{5}=4

3 0
3 years ago
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Ivenika [448]

Answer:

x = 62

Step-by-step explanation:

If the triangle has two values that are the same like your 6s that means that they have the same angle, so you take the angle(56 degrees)  and subtract 180 and 56 making 124. You take 124 and divide it by 2. Making x =62.

7 0
2 years ago
Read 2 more answers
Ruby plans to make 3 quilts per month until she makes 15 quilts. She figures this will take 1/5 month. Which is NOT a reason why
pashok25 [27]

Answer: c)She should have multiplied 15 by 3 instead of dividing.


Step-by-step explanation:

Number of quilts Ruby plan to make in one month= 3

which means if Ruby makes more than 3 quilts, the time will be more than 1 month.

To find the number of months to make 15 quilts, she need to divide 15 by 3

Thus, the number of months to make 15 quilts=5

Her answer was 1/5 which was absolutely wrong as if she is making 3 quilt in 1 month then in 1/5  month she would make fewer than 3 quilts.

She divides 3 by 15 instead of 15 by 3, thus but the unit is quilts not months.

Thus the only wrong option is c)She should have multiplied 15 by 3 instead of dividing.


4 0
2 years ago
Read 2 more answers
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