1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
o-na [289]
3 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]3 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
You might be interested in
Amy walks 5 miles north. Then, she turns east and walks another 6 miles before she stops to rest.
kondaur [170]
She is about 7.8 miles from where she had started and I used a right angle triangle for this and applied Pythagorean theorem: a^2+b^2=c^2
4 0
4 years ago
Read 2 more answers
Solve for -12x + 8 + 5x = 36
Roman55 [17]

X=-4 Thats the answer.

5 0
3 years ago
WHAT IS THE ANSWER??
Nookie1986 [14]

Steps to solve:

3/x+2 - √x-3 when x = 19

~Substitute

3/19+2 - √19-3

~Simplify

3/21 - √16

~Simplify

1/7 - 4

~Subtract

-3 6/7

Best of Luck!

5 0
4 years ago
A new runner has decided to purchase a new pair of running shoes. He has narrowed his choices to two brands, each of which would
Brut [27]

Answer:

Paired difference t test

Step-by-step explanation:

The paired difference t test is a type of statistical test which is used to examine if difference exists in th population mean of two samples. The paired difference test usually involves samples taken within subjects. That is, the sample mean for each set of measurement is taken from the Same subject, In the scenario described above, the subjects which are the 6 veteran runners each wore each of the two shoe brands, this means that two readings were produced by each runner ; one reading for brand A and the other brand B.

The difference between the two readings are taken for each runner and used to perform a hypothesis test:

t = μd/ (s/√n)

s = sample standard deviation ; n = sample size ; μd = mean difference

7 0
3 years ago
I need to solve this using l'hopital's rule and logarithmic diferentiation.
arlik [135]

Yo sup??

For our convenience let h=x+1

therefore

when x tends to -1, h tends to 0

hence we can rewrite it as

\lim_{h \to \ 0 } (cos(h))^{(cot(h^2 )}

This inequality is of the form 1∞

We will now apply the formula

e^(^g^(^x^)^(^f^(^x^)^-^1^)^)

plugging in the values of g(x) and f(x)

e^{lim_{h \to \ 0}{(cot(h)^2(cos(h)-1))}

express coth² as cosh²/sinh² and also write cosh-1 as 2sin²(h/2)

(by applying the property that cos2x=1-sin²x)

After this multiply the numerator and denominator with h² so that we can apply the property that

\lim_{x \to \ 0 } sinx/x =1

Now your equation will look like this.

e^{lim_{h \to \ 0}{((cos(h)^2(2sin^2(h/2)*h^2)/(sin(h)^2*h^2)}

We will now apply the result

\lim_{x \to \ 0 } sinx/x =1

where x=h²

we get

e^{lim_{h \to \ 0}{((cos(h)^2(2sin^2(h/2))/(h^2)}

we now multiply the numerator and denominator with 4 so that we can say

\lim_{h^2 \to \ 0 } sin^2(h/2)/(h^2/4) = 1

e^{lim_{h \to \ 0}{((cos(h)^2(2sin^2(h/2))/(h^2*4/4)}

=e^{lim_{h \to \ 0}{((cos(h)^2*2)/(4)}

Apply the limits and you will get

e^{cos(0)^2*2/4

=e^{1/2}

Hope this helps.

7 0
3 years ago
Other questions:
  • Determine which statement is true about the zeros of the function graphed below
    15·1 answer
  • I keep getting this wrong can y’all help me please
    15·1 answer
  • Before a race, Evelyn ran 27 minutes to warm up. The race took her 2 hours.
    9·1 answer
  • The sun is about 93 x 10^6 miles from earth. what is this distance written as a whole number? 
    13·2 answers
  • What is the total area of the shape
    11·1 answer
  • 86[]×[]=2325
    5·1 answer
  • Anthony has 400 marbles. He sells 1/4 of the marbles to Jayveon, he gives 10% to Abdul and donates 10 marbles to his little brot
    14·1 answer
  • 12 3/6 ÷ 4/6<br><br> please answer asap
    13·2 answers
  • To get ready for school supply shopping, a store orders 25,000 folders. The store gets another shipment of 15,250 folders the da
    5·1 answer
  • Plzzz help me e I need this​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!