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2 years ago

2 is what percent of 20?

Mathematics

1 answer:

MAXImum [283]2 years ago

3 0

Answer:

%10

Step-by-step explanation:

20/2=10

100/10=10

%10

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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

______x 1/6 =5 Help pls and thx

arsen [322]

30 because 30 times 1/6 is 5

7 0

2 years ago

Read 2 more answers

Solve the equation for k. -11 = 7 + 2/3k A. -24 B. -25 C. -26 D. -27

Kryger [21]

Answer:

k= -27

step-by-step

8 0

2 years ago

What is the sum of the arithmetic sequence 3, 9, 15..., if there are 36 terms? (5 points)

nikklg [1K]

The answer is 3,888 !!!!!!!!

8 0

3 years ago

A local am radio station broadcasts at a frequency of 764 khz. calculate the energy of the frequency at which it is broadcasting

pentagon [3]

The frequency of the emitted radio waves is:
$f=764 kHz = 7.64 \cdot 10^5 Hz$

The energy of a photon is given by:
$E=hf$
where h is the Planck constant and f is the photon frequency. Using the frequency given by the problem, we can find the energy of each photon of this radiation:
$E=hf=(6.6 \cdot 10^{-34} Js)(7.64 \cdot 10^5 Hz)=5.04 \cdot 10^{-28} J=5.04 \cdot 10^{-31} kJ$

7 0

3 years ago