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2 years ago

P(x) = 5x4 + 7x3 – 2x2 – 3x + c C=

Mathematics

1 answer:

Ghella [55]2 years ago

5 0

Answer:

c=Px−5x4−7x3+2x2+3x

Step-by-step explanation:

Solve for

by simplifying both sides of the equation, then isolating the variable.

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The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont

anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

a) The preset value equation is given by this formula:

$P=\int^{T}_{0}f(t)e^{-rt}dt$

where:

T is the period in years (T = 10 years)
r is the annual interest rate (r=0.08)

So we have:

$P=\int^{T}_{0}(0.01t+100)e^{-rt}dt$

Now we just need to solve this integral.

$P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt$

$P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}$

$P=0.30+688.34=688.64 $$

The present value is 688.64 $

b) The accumulated amount of money flow formula is:

$A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt$

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

$A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P$

$A=e^{0.08\cdot 10}688.64=1532.60 $$

The accumulated amount is 1532.60 $

Have a nice day!

6 0

2 years ago

How do you write this in standard notation 6x10 to the power of 3

Olin [163]

The way to write this would be 6000

7 0

2 years ago

Which pair of rectangles is similar? a b c d

cricket20 [7]

B) the one that has the sides 4 & 8 and 3 & 6.

The length on both of these rectangles are twice as long as the width

one rectangle goes from a width of 4 and its length is doubled to a length of 8
it is similar to the 3 & 6 because the width of 3 is doubled to get the length of 6

hope this helps

3 0

3 years ago

The correct numeral form of this number written in scientific notation 1.83 × 10 5

MatroZZZ [7]

Since it says *10^5, we must multiply the number by 100,000.

To multiply a number by 100,000, move the decimal place of the original number 5 place values to the right. Fill in any necessary zero's.

Final answer: 183,000

5 0

3 years ago

Read 2 more answers

Taylor bought 24 lb of flour. She used 1/3 of it to bake fruit pies and 1/4 of the remainder to bake some bread. How many pounds

DIA [1.3K]

Answer: 12 lbs

Step-by-step explanation:

24x1/3= 8lbs ( used for fruit pies)

24-8= 16 lbs ( remainder)

16x 1/4= 4lbs ( for bread)

16-4 = 12 lbs remains

3 0

2 years ago

Read 2 more answers