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Anni [7]
2 years ago
11

Simplify the expression. Write your answer as a power.

"TexFormula1" title="(5^{4} )^{3}" alt="(5^{4} )^{3}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Charra [1.4K]2 years ago
6 0

Answer:

5^{12}

Step-by-step explanation:

Lets say there's a number 'x' and there's an expression (x^a)^b where 'a' & 'b' are also numbers , <u>the simplified form of the expression is </u>x^{a \times b}<u>.</u>

So ,

(5^4)^3 = 5^{4 \times 3} = 5^{12}

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You have $10,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 13 percent and Stock Y with
Alex Ar [27]

The money invested in stock X is $8,800.

Given,

Total investment in stock portfolio=$10000

Expected return from stock X=13%=0.13

Expected return from stock Y=8%=0.08

Expected return from portfolio=12.4%=0.124

The portfolio return is calculated by taking the weighted average of individual stock returns.

Let x represent the portfolio weightage of stock X.

1-x is the portfolio weightage of stock Y.

money invested in stock X be

0.124=0.13x+0.08(1-x)

0.124=0.13x+0.08-0.08x

0.124-0.08=0.05x

0.044=0.05x

x=0.88

money invested in stock X=0.88*10000=$8800

Thus, the money invested in stock X is $8,800.

To learn more about percentages refer here

brainly.com/question/26718419

#SPJ4

4 0
1 year ago
Solve each system of equations using substitution. #4 is done for you.
son4ous [18]

Answer:

y = 5 and x = -3

Step-by-step explanation:

Given,

y = x + 8      ...............( equation 1 )  

x + y = 2      ...............( equation 2 )

Now,  by substituting the value of y in equation 2, we get;

⇒ x + x + 8 = 2

⇒ x = -3

and now, by substituting the value of x in equation 1, we get;

⇒ y = -3 + 8

⇒ y = 5

8 0
3 years ago
Mrs. Chan buys a new car for $21,000. She pays a sales tax of $0.06 for every $1. She pays a property tax of $16.80 on every $1,
lianna [129]

Answer:

$1612.80

Step-by-step explanation:

<u>Sales Tax</u> would be 0.06 * 21,000 = $1260

<u>Property Tax:</u>

16.80 for every 1000, so how many "1000"s are there in 21,000? Simple, 21 of them.

So the property tax would be 16.80 * 21 = $352.80

Hence, total taxes (for the year) = 1260 + 352.80 = $1612.80

4 0
3 years ago
Point G is the centroid of triangle ABC. AG = (5x+4) units and GF= (3x-1) units. What is A F?
Vika [28.1K]
<span>Because G is the centroid of the triangle, therefore AG = 2GF
That is, 5x + 4 = 2(3x - 1)
5x + 4 = 6x - 2
4 + 2 = 6x - 5x
6 = x
Therefore AG = 5*6 + 4 = 34
GF = 3*6 - 1 = 17
A.F = AG + GF = 34 + 17 = 51
Answer: 51</span>
6 0
3 years ago
Read 2 more answers
Rewrite the expression with parentheses pls help
KATRIN_1 [288]
Um is it (2+4) ÷ (2+4)
7 0
2 years ago
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