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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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Factor x3 – 4x2 + 7x – 28 by grouping. What is the resulting expression?
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According to DeMorgan 's theorem, the complement of W · X + Y · Z is W' + X' · Y' + Z'. Yet both functions are 1 for WXYZ = 1110
sergeinik [125]

Answer:

The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.

Step-by-step explanation:

According to DeMorgan's Theorem:

(W.X + Y.Z)'

(W.X)' . (Y.Z)'

(W'+X') . (Y' + Z')

Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.

For the original function:

(W . X + Y . Z)'

= (1 . 1 + 1 . 0)

= (1 + 0) = 1

For the compliment:

(W' + X') . (Y' + Z')

=(1' + 1') . (1' + 0')

=(0 + 0) . (0 + 1)

=0 . 1 = 0

Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.

Without the parenthesis the compliment equation looks like this:

W' + X' . Y' + Z'

1' + 1' . 1' + 0'

0 + 0 . 0 + 1

Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.

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Nolan Walker decided to buy a used snowmobile since his credit union was offering such low interest rates. He borrowed $4,400 at
Serhud [2]

Answer:

He paid $253.09 in interest.

Step-by-step explanation:

To find how much did he pay in interest, we use the simple intrest formula, that is given by:

I = Prt

In which I is the value paid in interest, P is the money borrowed, r is the yearly interest rate and t is the time.

In our problem, we have that:

He borrowed $4,400, so P = 4,400

At 4.75% yearly. We measure the time in days, so we have to divide this value by 365. So r = \frac{0.0475}{365}.

From December 26, 2019 to February 21, 2021, there are 422 days, so t = 422.

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He paid $253.09 in interest.

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