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3 years ago

5

a store's cost for a stereo was $27. The markup was 75%. A customer purchased it on sale for 40% off. What was the purchased pri

ce of the stereo?

1 answer:

Pachacha [2.7K]3 years ago

5 0

Well a markup is the amount added to the current price so 75% added to 27$ then subtract 40%

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A certain college graduate borrows 7864 dollars to buy a car. The lender charges interest at an annual rate of 13%. Assuming tha

White raven [17]

Answer:

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = =$1573.17

Step-by-step explanation:

Consider A represent the balance at time t.

A(0)=$ 7864.

r=13 % =0.13

Rate payment = $k

The balance rate increases by interest (product of interest rate and current balance) and payment rate.

$\frac{dB}{dt} = rB-k$

$\Rightarrow \frac{dB}{dt} - rB=-k$ .......(1)

To solve the equation ,we have to find out the integrating factor.

Here p(t)= the coefficient of B =-r

The integrating factor $=e^{\int p(t) dt$

$=e^{\int (-r)dt$

$=e^{-rt}$

Multiplying the integrating factor the both sides of equation (1)

$e^{-rt}\frac{dB}{dt} -e^{-rt}rB=-ke^{-rt}$

$\Rightarrow e^{-rt}dB - e^{-rt}rBdt=-ke^{-rt}dt$

Integrating both sides

$\Rightarrow \int e^{-rt}dB -\int e^{-rt}rBdt=\int-ke^{-rt}dt$

$\Rightarrow e^{-rt}B=\frac{-ke^{-rt}}{-r} +C$ [ where C arbitrary constant]

$\Rightarrow B(t)=\frac{k}{r} +Ce^{rt}$

Initial condition B=7864 when t =0

$\therefore 7864= \frac{k}{r} - Ce^0$

$\Rightarrow C= \frac{k}{r} -7864$

Then the general solution is

$B(t)=\frac{k}{r}-( \frac{k}{r}-7864)e^{rt}$

To determine the payment rate, we have to put the value of B(3), r and t in the general solution.

Here B(3)=0, r=0.13 and t=3

$B(3)=0=\frac{k}{0.13}-( \frac{k}{0.13}-7864)e^{0.13\times 3}$

$\Rightarrow- 0.48\frac{k}{0.13} +11614.98=0$

⇒k≈3145.72

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = ${(3145.72×3)-7864}

=$1573.17

4 0

4 years ago

The State Education Department requires local school districts to keep these records on all students: age, race or ethnicity, da

IgorC [24]

Answer:

2.Race or Ethnicity

3.Disabilities or Special Needs

7.Current Grade Level

Step-by-step explanation:

A Categorical variable is a non numerical variable, and usually is defined as "a variable that allows to assign categories but we cannot clearly order the variables".

If a variable is not Categorical can be ordinal or or numerical.

Ordinal when we can create a order from the data. And numerical when is not categorical or ordinal.

1.Reading Test Score

False, usually the scores are quantitative or numerical variable since are measured on units..

2.Race or Ethnicity

True, is categorical variable since we don't have an order for this.

3.Disabilities or Special Needs

True, we can consider this variable as categorical since we don't have an order and can't be expressed in numerical terms.

4.Age

False, is a quantitative variable or numerical

5.Mathematics Test Score

False the scores represnt a numerical variable.

6. Days Absent

False, that can be considered as quantitative if we count the days absent

7.Current Grade Level

True. That can be considered a categorical variable since we can't express this variable with numbers.

So then the correct choices are:

2.Race or Ethnicity

3.Disabilities or Special Needs

7.Current Grade Level

8 0

3 years ago

In a school, half of the 300 students saw Zootopia, 180 students saw Finding Dory, and 45 students did not see either movie. How

kobusy [5.1K]

Answer:

165 students (hope it helps)

Step-by-step explanation:

300students - 45students = 255students

180students + 150students = 330students

330students / 2 = 165

4 0

4 years ago

Read 2 more answers

-30< x/-4<br> Solve for x.<br> Answer must be simplified.

aev [14]

Everything you need is attached below.

6 0

3 years ago

Please do all and I’ll mark brainliest!! I’ve added extra points and I really need help ASAP!! Don’t worry about the 3D shape on

lana [24]

Answer:

Answers in step step-by-step explanation.

Step-by-step explanation:

1. 7

2. 0.3

3. 3

4. <em>x </em>= 50 degree

5. 15 (Sorry I accidentally made the answer to five the answer to six, 15 is the right answer)

6. 10.408125

7. 240

8. -29

9. I think 1/4 but double-check.

10. $5.4

4 0

3 years ago