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butalik [34]
3 years ago
7

Simplify the equation

Mathematics
2 answers:
gtnhenbr [62]3 years ago
6 0

Answer:

option c is the correct.

Step-by-step explanation:

\frac{2x^4*6x^2}{3x^2}

by using the laws of exponent

a^m×a^n=a^m+n

12x^4+2/3x²

\frac{12x^4}{3x^3}

4x^4-3

4x³

likoan [24]3 years ago
3 0

Answer:

4x^3

Step-by-step explanation:

In the numerator, (top part) we have 2x^4 times 6x^2

2 times 6 is 12, and x^4 times x^2 is x^6.

Thus, in the top part, we have 12 times x^6.

In the bottom part we have 3 times x^3.

This is exactly the answer for d, but this is not a simplified answer.

Dividing 12 by 3 we have 4, and x^6/x^3 gives us x^(6-3) which is x^3.

Therefore, we have the correct answer: 4x^3

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3. You owe $1,350.00 on a credit card with a 14.25% APR. You pay $300.00 at the beginning of
irina [24]

Answer:

Step-by-step explanation:

As an aside, I don't know why Americans don't use a debit card. Usually to figure out what the monthly interest is, you divide the yearly interest by 12

14.25 / 12 = 1.875  and you keep all the decimals.

1350 * 1.875 / 100 = 16.03 is what you save, but there is more. It seems very tiny, but don't be fooled. The credit card company certainly isn't. They will likely round up to 16.04 just so hackers won't make anything if they break into someone's account.

16.04 doesn't seem like much to pay, but realize that if you had to pay it every month, it would be 192.48 a year. That on 1350 is usury.

3 0
2 years ago
Alex was playing a board game with six-sided die. She tossed the die for her turn. What is P(5)?
ycow [4]

Answer:

probability of getting a 5

Step-by-step explanation:

6 0
3 years ago
Freddie needs to buy 3 dozen cookies for a party. The first 20 cookies cost $0.27 each. The rest cost $0.17 each.
yarga [219]

Answer:

8.12 is the answer

Step-by-step explanation:

He needs 36 cookies.

First do 20 * .27 for the first twenty

then do 16 * .17 for the other 16 cookies

Add 5.4 + 2.72 = 8.12

8 0
2 years ago
Need help asap important! thanks so much!
a_sh-v [17]

Answer:

You would have $343.37 at the end of the 2 years.

Step-by-step explanation:

Interest earned is like bonus money the bank pays you just for keeping money

\mathrm{Compund\:Interest\:Formula}:\quad A =  P {  \left( 1+ \dfrac{ r  }{ n  }    \right)    }^{ nt  }

P: the starting balance of the account (also called initial deposit, or principal)

A: the new balance in the account after N years.

t: the number of years or time

r: the interest rate, (in decimal form)

n: the number of times the interest is compounded each year.

Annually = each year = 1

P =$300, r = 7%, t = 2, n = 1, A = ?

Substitute the numbers into the "Compound Interest Formula".

A =  300 {  \left( 1+ \dfrac{ 0.07  }{ 1  }    \right)    }^{ 1 \times  2  }

\mathrm{Anything\:divided\:by\:1\:gives\:itself}

A =  300 {  \left( 1+0.07  \right)    }^{ 1 \times  2  }

\mathrm{Add\:1\:and\:0.07\:to\:get\:1.07}

A =  300 \times   { 1.07  }^{ 1 \times  2  }

\mathrm{Multiply\:1\:and\:2\:to\:get\:2}

A =  300 \times   { 1.07  }^{ 2  }

\mathrm{Calculate\:1.07\:to\:the\:power\:of\:2\:and\:get\:1.1449}

A =  300 \times  1.1449

\mathrm{Multiply\:300\:and\:1.1449\:to\:get\:343.47}

A =  343.47

So you would have $343.37 at the end of the 2 years.

Look at the chart

\mathrm{Year}\quad \mathrm{Year\: Interest}\quad \mathrm{Total\:Interest}\quad \mathrm{Balance}\\\quad1\quad\quad\quad $21.00\quad\quad\quad\quad $21.00\quad\quad\quad\quad $321.00\\\quad2\quad\quad\quad $22.47\quad\quad\quad\quad $43.47\quad\quad\quad\quad $343.47

8 0
2 years ago
I need help!!!!!!!!!!!!
Ainat [17]

Answer:

See explanation below.

Step-by-step explanation:

A number bond shows what two parts add to make the number. The 1 in the bigger circle is equal to the two small circles each 1/2.

On the number line you have drawn from 0 to 1 a bar. This is the whole number. Divide the bar with one line exactly at the half.

This now shows that two bars or 1/2 + 1/2 becomes 1 big bar or 1. This shows the same relationship as the number bond.

4 0
2 years ago
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