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stellarik [79]
3 years ago
7

How long will it take for a $2000 investment to grow to $3178 at an annual rate of 8.6%, compounded semiannually? Assume that no

withdrawals are made
Mathematics
1 answer:
masha68 [24]3 years ago
7 0

Answer:

n = 1

Step-by-step explanation:

Due to it being compounded semiannually, the total amount after n years should be 2000[1+(.086/2)]^2n = 3178.    (A = p(1+r/n)^nt)

Hence, solving this equation:

(1+0.43)^2n = 3178/2000

1.43^2n = 1.589

2n = 2

n = 1

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2x^3-3x^2-11x+6 divide by x-3
Alexxx [7]

Answer: 2x^2+3x-2

Step-by-step explanation:

You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.

Do \frac{2x^3}{x}=2x^2. Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.

2x^2*(x-3)=2x^3 -6x^2\\(2x^3 -3x^2-11x+6)-(2x^3-6x^2) = 3x^2-11x+6

Now do \frac{3x^2}{x} =3x. Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:

3x(x-3)=3x^2-9x\\(3x^2-11x+6)-(3x^2-9x)=-2x+6

Your final step is to do \frac{-2x}{x} =-2. Write this -2 next to your other two parts

Multiply -2 by (x - 3) to get:

-2(x-3)=-2x+6\\(-2x+6)-(-2x+6)=0

Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:

2x^2+3x-2 times

4 0
3 years ago
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A^3b^-2c^-1d if a=2 b=4 c=10 d=15 express as a reduced fraction
Juli2301 [7.4K]

Answer:

Don't know if this is correct but, I think the answer is 3/4.

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3 years ago
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Write the equation of a line for a graph hurry!!​
anastassius [24]

Answer:

y = -2x + 2

Step-by-step explanation:

y-intercept is 2 (where the line crosses the y axis)

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3 years ago
Given the function f(x), what is the transformation f(x)+r, if r is a real number and r > 0?
patriot [66]

Answer:

C

Step-by-step explanation:

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3 0
3 years ago
On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 15 and length of 1
Luden [163]

Answer:

229.5cm^{2}

Step-by-step explanation:

In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...

Ar = l * h

Ar = 11cm * 12cm

Ar = 132 cm^{2}

Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...

At = \frac{h * b}{2}

At = \frac{15cm * 13cm}{2}

At = \frac{195cm^{2} }{2}

At = 97.5cm^{2}

Now we simply add both areas together to calculate the total area of the arrow...

132cm^{2} + 97.5cm^{2} = 229.5cm^{2}

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3 years ago
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