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Strike441 [17]
2 years ago
15

How much would $250 invested at 10% interest compounded continuously be worth after 8 years? Round your answer to the nearest ce

nt. Do not include units in your answer.
Mathematics
1 answer:
Step2247 [10]2 years ago
7 0
For continuous compounding:

A=Pe^(rt)  A=final amount, P=principle, r=annual rate, t=time years

A=250e^(0.1*8)

A=556.39
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Find the sum of the series Summation from n equals 1 to infinity (StartFraction 3 Over StartRoot n plus 2 EndRoot EndFraction mi
Marizza181 [45]

Looks like the series is supposed to be

\displaystyle\sum_{n=1}^\infty\frac3{\sqrt{n+2}}-\frac3{\sqrt{n+3}}

The series telescopes; consider the kth partial sum of the series,

S_k=\displaystyle\sum_{n=1}^k\frac3{\sqrt{n+2}}-\frac3{\sqrt{n+3}}

S_k=\displaystyle\left(\frac3{\sqrt3}-\frac32\right)+\left(\frac32-\frac3{\sqrt5}\right)+\cdots+\left(\frac3{\sqrt{k+1}}-\frac3{\sqrt{k+2}}\right)+\left(\frac3{\sqrt{k+2}}-\frac3{\sqrt{k+3}}\right)

\implies S_k=\dfrac3{\sqrt3}-\dfrac3{\sqrt{k+3}}

As k\to\infty, the second term converges to 0, leaving us with

\displaystyle\sum_{n=1}^\infty\frac3{\sqrt{n+2}}-\frac3{\sqrt{n+3}}=\frac3{\sqrt3}=\boxed{\sqrt3}}

7 0
2 years ago
What is the distance between (-5,-5) and (-9,-2)
ollegr [7]

Answer:

use the distance Formula   D=sqrt of {(x1-x2)^2+(y1-y2)^2}

Step-by-step explanation:

So(-5--9)^2 + (-5- -2)^2 =

(4)^2 + (-3)^2 =

16 + 9 = 25

and the square root of 25 is 5.

5 is the answer

5 0
2 years ago
I need this ASAP!!! <br> please helppppp
Reika [66]

Answer:

EASY

Step-by-step explanation:

the answer is ..........................................................................

2

5 0
2 years ago
Yara multiplies and divides a certain number by the same power of 10. The product she gets is 40,000 and the quotient she gets i
Elena L [17]
40,000 = 4 * 10^4
0.000004 = 4 * 10^-6
The power of 10 exactly in between 4 and -6 is -1.

She started with 4 * 10^(-1) which is 0.4.
0.4 * 100,000 = 40,000
0.4/100,000 = 0.000004

The number she started with is 0.4.
The power is 10^5.

8 0
2 years ago
Help pls im so confused<br> 10(1^2*2^-2)
Kazeer [188]

Answer:

<h2><u><em>2.5</em></u></h2>

<u><em>(or 5/2 or 2 1/2)</em></u>

Step-by-step explanation:

<u><em>Remember PEMDAS</em></u>

10 * (1^2 * 2^-2)

10 * (1 * 0.25)

10 * 0.25 =

<u><em>2.5 </em></u>

4 0
1 year ago
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