If esin²x +sin⁴x+sin⁶x+....+infinity log²=0and 0<x<pie/2 then cosx/cosx+sinx=<br>

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

2 years ago

Write the value of the expression 2^3/2^3

kiruha [24]

Answer:

1

Step-by-step explanation:

$\frac{2^3}{2^3}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\=2^{3-3}\\2^{3-3}=1\\2^{3-3}\\\mathrm{Subtract\:the\:numbers:}\:3-3=0\\=2^0\\\mathrm{Apply\:rule}\:a^0=1,\:a\ne \:0\\=1$

6 0

2 years ago

The opposite of negitive thirty-six

dexar [7]

The opposite of -36 is equal to 36

8 0

2 years ago

Read 2 more answers

What is the slope of the line?<br> -4x+7=2y-3

BigorU [14]

Answer: -2

In order to find the slope of this equation you must put it into slope form which is y=mx+b
Solved: y= -2+5
M is the slope

8 0

2 years ago

3. If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day is: (a) 1 – n

zaharov [31]

Answer:

If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day

will be $\frac{1}{n}$ .

Step-by-step explanation:

From the question, it is clear that

If ‘A’ can finish a work in ‘n’ days, then
we have to determine the part of work finished in 1 day.

So

let ' $n$ ' be the number of days $A$ takes to complete the whole work

Let the whole job be denoted as ' $1$ '

Thus, the part of work finished in 1 day will be:

$\:\frac{Total\:work}{Time\:taken\:by\:A\:to\:complete\:the\:work}\:=\frac{1}{n}$

Therefore, If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day will be $\frac{1}{n}$ .

Keywords: work, word problem

Learn more about word problem form brainly.com/question/12419898

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3 0

2 years ago

If esin²x +sin⁴x+sin⁶x+....+infinity log²=0and 0<x<pie/2 then cosx/cosx+sinx=​

If esin²x +sin⁴x+sin⁶x+....+infinity log²=0and 0<x<pie/2 then cosx/cosx+sinx=