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kolezko [41]
3 years ago
5

Can you pls help 5+4-(8*3-22)^4*4 pls help you get 25 points

Mathematics
1 answer:
Zina [86]3 years ago
8 0

Answer:

5 + 4 - (8 * 3 - 22)⁴ * 4 = -55

Step-by-step explanation:

5 + 4 - (8 * 3 - 22)⁴ * 4

Follow PEMDAS which states you need to do equations in the order of:

Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction.

Knowing this, simplify inside the parenthesis by multiplying 8 and 3 first.

5 + 4 - (24 - 22)⁴ * 4

Now subtract 22 from 24 inside the parenthesis.

5 + 4 - (2)⁴ * 4

Since we are done with parenthesis, move on to the next part of PEMDAS which says to do exponents next. Take 2 to the power of 4.

5 + 4 - 16 * 4

Now that we are done with exponents, move on to the next part of PEMDAS which says to multiply/divide next. Multiply -16 and 4.

5 + 4 - 64

Now that we are done with multiplication/division, move on to the last part of PEMDAS which says to add/subtract. Add 5 and 4.

9 - 64

Finally, subtract 64 from 9 to get:

-55.

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Answer:

<u>3.63 years</u>

Step-by-step explanation:

The formula would be of compound growth, which is:

F=P(1+\frac{r}{n})^{nt}

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P is initial deposit

r is rate of interest in a year

n is number of compounding in 1 year

t is the time in years

Given in this problem:

To accumulate 2000 interest means the future amount will be:

10000+2000 = 12,000

Present amount is 10,000

r is the annual interest, which is 5% or 0.05

compounded monthly means, 12 times a year, so n = 12

t is time in years, which we need to find

Substituting, we have:

F=P(1+\frac{r}{n})^{nt}\\12000=10000(1+\frac{0.05}{12})^{12t}\\1.2=(1.0042)^{12t}\\Ln(1.2)=Ln((1.0042)^{12t})\\Ln(1.2)=12t*Ln(1.0042)\\12t=\frac{Ln(1.2)}{Ln(1.0042)}\\12t=43.50099\\t=3.63

The time it will take is around <u>3.63 years</u>

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3 years ago
Factor the trionomial below. x^2 + 6x - 27
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Step-by-step explanation:

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Answer:

w= 9

Step-by-step explanation:

\sqrt{ - 4w + 61}  = w - 4

Square both sides:

-4w +61= (w -4)²

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-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.

<u>Why </u><u>do </u><u>we </u><u>use </u><u>negative </u><u>square </u><u>root?</u>

When solving an equation such as x²= 4,

we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.

In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.

However, back to our question, we did not introduce the square root so we should not consider the negative square root value.

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