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2 years ago

Ex 4) Find the unit price for 6.5 pounds of apple for $12.95.

Mathematics

1 answer:

DedPeter [7]2 years ago

7 0

Answer:

No Ms Chen is not correct and the price is $1.99 per pound

Step-by-step explanation:

Ms Chen is not correct because she did the division wrong. She was supposed to divide the price by the pounds but she divided the pounds by the price. The correct way of doing this would be dividing $12.95 by 6.5 which gets you 1.99230769 but since this is money that rounds to $1.99 per pound

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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

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3 years ago

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lukranit [14]

Answer:

D) $15.99 +$0.50n> $20

Step-by-step explanation:

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3 years ago

A right triangle has legs that measure 7 cm and 6 cm. What is the length of the hypotenuse in meters?

dalvyx [7]

<h2>Greetings!</h2>

Answer:

$\sqrt{85} or 9.22$

Step-by-step explanation:

You need to remember the following equation:

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So simply plug these values into this:

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36 + 49 = 85

So the hypotenuse is the square root of 85:

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<h2>Hope this helps!</h2>

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valina [46]

Answer:

Step-by-step explanation:

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Hunter-Best [27]

Answer:

Step-by-step explanation:

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3 years ago