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2 years ago

PLEASE HELP IM STUCK. List the factors of the third term: 6n^3-n^2+5n/8-11

Mathematics

1 answer:

mafiozo [28]2 years ago

5 0

Answer:

The factors for 5 are going to be 1 and 5 or their negative counterparts, since no other whole number within the range of 5 can be multiplied to get 5.

Make sense?

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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

I need help with this one also don’t put a link

Nadya [2.5K]

Answer: 306 cm^2

Step-by-step explanation:

Surface is found by add all the areas of the sides together, including sides, top and bottom. You might need to divide the 3D shape into different shapes in order to find the area of the sides/top/bottoms. Area for rectangle = bxh.

8 0

2 years ago

WILL MARK BRAINLIST

Aleks [24]

Answer:

The quadratic equation is x^2 + 4x - 32 = 0

Step-by-step explanation:

(x - 4)(x+8) = 0

x^2 + 4x - 32= 0

6 0

2 years ago

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