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4 years ago

F(×) = x^4+2×^3 determine whether the function is even or odd?

Mathematics

1 answer:

3241004551 [841]4 years ago

6 0

I dont know exactly what it is

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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

3 years ago

9x + 26 + 7x - 17 = 2x + (-3x) + 5x<br><br> 16x + 9 = 0<br> 16x + 11 = 4x<br> 16x + 9 = 4x

zzz [600]

Answer:

C. 16x+9=4x

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Collin ordered a set of yellow and brown pins. He received 400 pins in all. 340 of the pins were yellow. What percentage of the

cupoosta [38]

The yellow pins show as 85% of the total number of pins that Collin ordered

6 0

3 years ago

What is the percent of decrease from 6 to 5.4?

Helga [31]

Answer:

The percent decrease from 6 to 5.4 is 10%.

Step-by-step explanation:

5 0

3 years ago

1. You deposit $1,000 in the bank when your son is born. If the money earns 5% interest,

sergejj [24]

Answer:

$2,406.62

Step-by-step explanation:

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2 years ago