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xenn [34]
2 years ago
9

How to complete this

Mathematics
1 answer:
KATRIN_1 [288]2 years ago
8 0

Answer:

4x^{6}y^{7}

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} = a^{(m+n)}

12x^{5} × y^{3} × \frac{1}{2}x x \frac{2}{3}y^{4}

= 12 × \frac{1}{2} × \frac{2}{3} × x^{(5+1)} × y^{(3+4)}

= 4x^{6}y^{7}


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Mrs. Adams deposited $12,000 into an account that earns an annual simple interest rate of 3.25%. She makes no other deposits or
lisabon 2012 [21]

Answer:

<em>Mrs. Adams will earn $3,120 of interest at the end of year 8.</em>

Step-by-step explanation:

<u>Simple Interest</u>

In simple interest, the money earns interest at a fixed rate, assuming no new money is coming in or out of the account.

We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:

I=A.r.t

Mrs. Adams deposited an amount of A=$12,000 into an account that earns an annual simple interest rate of r=3.25%. We must find the interest earned in t=8 years. The interest rate is converted to decimal as:

r=3.25/100=0.0325

The interest is then calculated:

I=12,000\cdot 0.0325\cdot 8=3,120

Mrs. Adams will earn $3,120 of interest at the end of year 8.

7 0
3 years ago
The lines shown below are perpendicular. If the green line has a slope of
klasskru [66]

Answer: 4

Step-by-step explanation:

Perpendicular lines have reciprocal slopes

8 0
2 years ago
100 x 77 + 72 ÷ 4 = ? (RIGHT ANSWER GETS BRAINLIEST)
icang [17]

Step-by-step explanation:

100*77+72/4

100*77+18

7700+18

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8 0
3 years ago
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You earn $65,000 a year, are married, and claim your spouse, yourself, and two children. What amount is withheld weekly for fede
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C

Step-by-step explanation:

5 0
2 years ago
Find the equation of a line that is parallel to the line y = -4× and contains the point (8,-3)
astra-53 [7]
(Note: this is hard to explain without graphing. You might want to graph both of these lines just to make sure I did this correctly. :))

Y = -4(x) is the y = mx + b where m = slope and b = the y intercept.

So the slope of line A is -4 / 1 and the y intercept is 0. (If it's 0 there is no point in writing it down, so it was left out of the equation.)


The slope of line B with be equal to the slope of line A, so we can fill that in our equation. y = -4 x + ??

We know that y increases as x decreases.

Now we just need to scale 8, -3 down until x = 0.
 (8 - 4, -3 + 1) = (4, -2) 

(4 - 4, -2 + 1) = (0, -1)

y = -4x -1 is your final answer. Hope that helps! :)
3 0
2 years ago
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