1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GREYUIT [131]
2 years ago
8

(Ill give brainliest)

Mathematics
1 answer:
Anna007 [38]2 years ago
3 0

Answer:

522

Step-by-step explanation:

You might be interested in
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
Find the domain and range of the exponential function h(x) = –343^x. Explain your findings. As x decreases, does h increase or d
Snowcat [4.5K]

Answer:

As x decreases, h increases (but never touches)

As x increases, h decreases (but never touches)

Step-by-step explanation:

If you graphed the exponential, you would be able to see that it is stuck in the 3rd quadrant.

Domain: (negative infinity, 1)

Range: (negative infinity, 0)

7 0
3 years ago
Find the mode of the data.
azamat

Answer:

1

Step-by-step explanation:

The mode is the number that appears most often

1 appears twice in the data list and that is the mode

7 0
3 years ago
Read 2 more answers
Solve the system of equations using substitution y=x-1 and y=-2x+5
pav-90 [236]
Since the two equations equal y, set them equal to each other.

x-1=-2x+5

From there, solve for x.

First get x on one side, by using the addition property of equality.

x-1=-2x+5
3x-1=5

Isolate x by adding 1.
3x=6

Lastly get x all by itself by dividing each side by 3.
x=2

You can now substitute your x-value, 2, into one of the equations (or both, if you wish; either one will result in the same answer.)

y=x-1
y=2-1
y=1

OR

y=-2x+5
y=-2(2)+5
y=-4+5
y=1

Final answer:
x=2 and y=1

Any questions or anything you would like me to clarify, feel free to ask :)
7 0
3 years ago
If you roll two number cubes, what is the probability of their sum being seven or higher?
DIA [1.3K]
27 rolls of being 7 or higher
8 0
2 years ago
Read 2 more answers
Other questions:
  • The output is six times the input.
    13·2 answers
  • Help with #4 please
    6·1 answer
  • Will give 5 starts, thanks need this FAST!!!!!!!!!!!!!!!
    13·1 answer
  • Write the equation of a linear line that has a slope of 4 and has a y intercept of 3​
    15·1 answer
  • GHEP LPE PLEASE HELP ME
    6·1 answer
  • The probability I take a nap today is 4/5. The probability I will take a nap and a bubble bath today
    8·1 answer
  • If angle 4 is x + 15 and angle 2 is 3x - 5, what is the<br> value of x?
    14·1 answer
  • Six cups of coffee cost $9. Write an equation to represent this statement. Solve the equation to find the cost of one cup of cof
    7·2 answers
  • I need to know the slope and why intersect of Y = -32 x + 5
    12·2 answers
  • A snowmobile manufacturer claims that it’s newest that it’s newest model is 15% lighter than last years model. If this years mod
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!