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alekssr [168]
2 years ago
12

Mark is investing $8,000 in an account paying 5.5% interest compounded monthly.

Mathematics
1 answer:
agasfer [191]2 years ago
5 0

Answer:

The formula is F = P(1 + interest percent)^n

Here,

p =8000 dollar

interest percent =5.5%  = (5.5/12)/100 =0.004583 (compounded monthly)

n =7 x 12 =84 (compounded monthly)

=>  Mark's account balance after 7 years

F = 8000*(1+0.004583)^84 =11746.2503 dollar

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We have been given an expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}. We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.

Let us simplify our given expression.

Using exponent property, a^m\cdot a^n=a^{m+n}, we cab rewrite our given expression as:

\left( 4^{-2+(-3)} \right)^{3}

\left( 4^{-5} \right)^{3}

Now we will use exponent property (a^m)^n=a^{m\cdot n}to further simplify our expression.

\left( 4^{-5} \right)^{3}= 4^{-5\cdot 3}

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2 years ago
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The function is given by

y=45,200 + 1,900x

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Now when we compare we get m = 1,900 for our problem .

So the population increases every year by 1,900.

3 0
2 years ago
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Please help. I am getting in trouble so please try to be correct...
vichka [17]

Answer: The answer is A 17in2

Step-by-step explanation:

In the question it states that the triangles are congruent (both the same).

  first I found the area of the top orange triangle.

the formula to find the area of a triangle is \frac{1}{2} bh (base times Height).

so I did  \frac{1}{2} 3.23* 5.12  which gave me 8.27.

Since the triangles are congruent (the same) they would both have the same area along with base and height. so I multiplied 8.27 by 2 (because there are two triangles) and got 16.54 which rounds up to 17.

the question also stated to find the APPROXIMATE area (close to the actual, but not completely accurate or exact.)

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1 year ago
There are four activities on the critical path, and they have standard deviations of 1, 2, 4, and 2. what is the probability tha
Anit [1.1K]

Standard deviations of the four activities of the critical path are 1,2,4,2.

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=\sqrt{1+4+16+4}

=\sqrt{25}

=5

Now we need to find the probability that the project will completed in 38 weeks given that its expected completion time is 40 weeks.

That is, we need to find P(X<38) :

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8 0
2 years ago
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RUDIKE [14]

Answer:

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Step-by-step explanation:

A line is a one-dimensional figure that has no thickness and extends infinitely in both directions.

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Therefore, x=1\,,\,y=t\,,\,z=t satisfy the given equation.

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