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Sidana [21]
4 years ago
11

What Is the.value of 5^3i^9

Mathematics
1 answer:
gregori [183]4 years ago
4 0
5^3=5\cdot5\cdot5=125\\\\i=\sqrt{-1}\to i^2=-1\\\\i^9=i^8+1=i^8\cdot i^1=-1\cdot i=-i\\\\5^3i^9=125(-i)=\boxed{-125i}
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Can anyone help me with this math problem?
Vika [28.1K]
\bold{FULL ANSWERS:}

In 1993, Moose Population: 3280

In 1999, population became: 4960

P (Population) , t (years)

t = 6 —> 4960 - 3280 = 1680

Average Change —> 1680/6 = 280 moose/year

• In terms of 1990:

t = 3 —> 3280-3 (280)

P(1990) = 2440

P(t) = 2440 + 280t

• In 2003; t = 13

P(13) = 2440 + 280 (13)
P(13) = 2440 + 3640
P(13) = 6080

• Moose population in 2003

= 6080





6 0
2 years ago
1/1×3 + 1/3×5 + ... + 1/47×49 HELP PLZ
Natalka [10]

Answer:

  24/49

Step-by-step explanation:

Let's add the terms and see if there's a pattern

  \dfrac{1}{1\times 3}+\dfrac{1}{3\times 5}=\dfrac{5+1}{1\times 3\times 5}=\dfrac{2}{5}\quad\text{sum of 2 terms}\\\\\dfrac{2}{5}+\dfrac{1}{5\times 7}=\dfrac{14+1}{5\times7}=\dfrac{3}{7}\quad\text{sum of 3 terms}

Suppose we say the sum of n terms is (n/(2n+1)), the next term in the series will be 1/((2n+1)(2n+3)) and adding that to the presumed sum gives ...

  \dfrac{n}{2n+1}+\dfrac{1}{(2n+1)(2n+3)}=\dfrac{n(2n+3)+1}{(2n+1)(2n+3)}=\dfrac{2n^2+3n+1}{(2n+1)(2n+3)}\\\\=\dfrac{(2n+1)(n+1)}{(2n+1)(2n+3)}=\dfrac{n+1}{2n+3}\text{ matches }\dfrac{(n+1)}{2(n+1)+1}

Then it appears the sum of n terms is (n/(2n+1)). So, the sum of 24 terms is ...

  S_{24}=\dfrac{24}{2\times24+1}=\boxed{\dfrac{24}{49}}

3 0
3 years ago
You just took out a $200,000 mortgage. You must make equal monthly payments over 30 years, and your interest rate is 6% APR. Wha
Vesnalui [34]

Answer:

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  c)  principal: $199.10

Step-by-step explanation:

a) The monthly payment can be found using a financial calculator or using the amortization formula:

  A = P(r/12)/(1 -(1+r/12)^(-12t))

for Principal P, annual interest rate r, and time t years.

Filling in the given values and doing the arithmetic yields ...

  A = $200,000(0.06/12)/(1 -(1+0.06/12)^(-12·30)) = 1000/(1 -1.005^-360)

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__

b) The first month's interest is the monthly interest rate times the initial loan balance:

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__

c) The first month's payment to principal is the difference between the payment amount and the amount to interest:

  $1199.10 -1000 = $199.10 . . . . . first month's payment on principal

7 0
3 years ago
How could we find the diameter of a circle with an area of 78.5 in.^ 2 ?? (3.14 is used for )
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Answer:

I think it's A AND C. The diameter is just the radius multiplied by 2 at the end of the day.B is just wrong.

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Which sequence of transformations creates a similar but not congruent triangle?
olya-2409 [2.1K]

The answer is D dilation and reflection

8 0
3 years ago
Read 2 more answers
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