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Aleksandr [31]
2 years ago
10

A new car is purchased for 20300 dollars. The value of the car depreciates at 9.5% per year. What will the value of the car be,

to the nearest cent, after 11 years?
Mathematics
1 answer:
Iteru [2.4K]2 years ago
6 0
The starting value is 20,300, and the value is decreasing by 9.5% each year.

Because it decreases by 9.5% each year based on the previous amount, we use an exponential decay model.

A decrease by 9.5% corresponds to multiplying by 91.5% each year.

We write . We plug in 11 years for t.

A(t)=23000(0.915)^{t}\\\\A(11)=23000(0.915)^{11}\\\\A(11)=7671.18

$7,671.18
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The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out t
Naily [24]

Answer:

Option C - Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in

Step-by-step explanation:

We are given;

n = 15

t-value = 1.66

Significance level;α = 0.05

So, DF = n - 1 = 15 - 1 = 14

From the one-sample t - table attached, we can see that the p - value of 0.06 at a t-value of 1.66 and a DF of 14

Now, since the P-value is 0.06,it is greater than the significance level of 0.05. Thus we do not reject the null hypothesis. We conclude that there is not sufficient evidence that the true diameter differs from 0.5 in.

8 0
1 year ago
four times the first of three consecutive odd integers is five less than the product of three and the third integer find the int
Andre45 [30]
I don't understand what integer is being asked for. The question is poorly worded.

The three integers are 7, 9, 11.
4 times 7 = 28
and 3 times 11 = 33
and 28 is 5 less than 33.
8 0
1 year ago
On average, Betsy read 1 page of her book every 1.5 minutes. Her book has 116 pages. Raymond starts a 94- page book on Saturday
natka813 [3]

Answer:

14 minutes

Step-by-step explanation:

given,

given,

Betsy time taken to read one page = 1.5 minutes

Number of pages in the Betsy book = 116 pages

number of pages in Raymond Book = 94 pages

time taken by the Raymond  to read = 11.38 - 8.30

                                                             = 3.08 hrs

time taken by Raymond = 188 minutes

time taken by Betsy to read book = 1.5 x 116

                                                         = 174 minutes

Raymond take more time than Betsy by  = 188 - 174

                                                                   = 14 minutes

Raymond take 14 minute more than Betsy

4 0
2 years ago
Use the table below to answer this question:
ruslelena [56]

Given:

The table of values.

To find:

The average rate of change for the given function from x = −1 to x = 2.

Solution:

From the given table it is clear that y=-3 at x=-1 and y=3 at x=2.

Formula for average rate of change is

m=\dfrac{y_2-y_1}{x_2-x_1}

Using the above formula, the average rate of change for the given function from x = −1 to x = 2 is

m=\dfrac{3-(-3)}{2-(-1)}

m=\dfrac{3+3}{2+1}

m=\dfrac{6}{3}

m=2

Therefore, the correct option is D.

5 0
1 year ago
A high school wants to sell postage stamps with the school logo on them. The fundraising group have purchased 500 sheets of stam
erma4kov [3.2K]

Answer:

a) Cost

C(q) = 50+16q\\\\C(500)=50+16(500)=50+8,000=8,050

b) Sales income

S(q)=20q\\\\S(500)=20\cdot 500 = 10,000

c) Table of values

\left[\begin{array}{ccc}q&C(q)&S(q)\\0&50&0\\250&4,050&5,000\\500&8,050&10,000\end{array}\right]

d) Attached

e) Breakeven point = 12.5 sheets

f) Profit at 550 sheets = $1,950

Step-by-step explanation:

a) We have a fixed cost for the image, at $50.

We also have a variable cost of $16 a sheet.

The purchased quantity is 500 sheets.

Then, the cost function is:

C(q) = 50+16q\\\\C(500)=50+16(500)=50+8,000=8,050

b) The price for each sheet is $20, so the income from sales are:

S(q)=20q\\\\S(500)=20\cdot 500 = 10,000

c) Table of values

\left[\begin{array}{ccc}q&C(q)&S(q)\\0&50&0\\250&4,050&5,000\\500&8,050&10,000\end{array}\right]

d) Attached

e) The minimum number of sheets the group must sell so they don't lose any money is the breakeven point (BEP) and can be calculated making the income sales equal to the cost:

S(q)=C(q)\\\\20q=50+16q\\\\(20-16)q=50\\\\4q=50\\\\q=50/4=12.5

f) This profit can be calculated as the difference between the sales income and the cost:

P(500)=S(500)-C(500)\\\\P(500)=20\cdot 500-(50+16\cdot 500)=10,000-8,050=1,950

3 0
1 year ago
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