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3 years ago

I will mark you brainliest! find the unit rate to determine the equation of the line

Mathematics

2 answers:

sineoko [7]3 years ago

7 0

The unit rate is 2.

Inessa [10]3 years ago

5 0

Answer:

Unit rate : ( y =2x)

I hope im right!

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Maggie missed 8 out of her last 20 free throws. What is the experimental probability that Maggie will miss her next free-throw a

prisoha [69]

%5 so ya it is five percent

4 0

3 years ago

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

Select the correct answer. The given equation has been solved in the table.

Ilya [14]

Answer:

D. The subtraction property of equality was not applied to solve this equation.

Step-by-step explanation:

Step 1: Given

$\sf \dfrac{x}{2}-7=-7$

Step 2: Addition Property of Equality

(add 7 to both sides)

$\implies \sf \dfrac{x}{2}-7+7=-7+7$

Step 3: Simplify

$\implies \sf \dfrac{x}{2}=0$

Step 4: Multiplication Property of Equality

(multiply both sides by 2)

$\implies \sf 2 \cdot \dfrac{x}{2}=2 \cdot0$

Step 5: Simplify

$\implies \sf x=0$

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2 years ago

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Answer:

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3 years ago

Temperature at 9:00PM was 15° By 5 AM the temperature had dropped 20° what was the temperature at 5 PM

Arisa [49]

From 9 P.M. to 5 A.M. the temperature dropped 20°, making the rate over 8 hours, -2.5° Per Hour. By 5 A.M., the temperature is -5° since we had to do 15 - 20. From 5 AM to 5 P.M. is 12 hours so -2.5 x 12 = -30 making 30 how much the temperature dropped between 5 A.M. to 5 P.M. Finally, our last equation is -5 - 30 making -35 our answer.

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3 years ago