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masya89 [10]
1 year ago
8

Simplify 4a³b² × 3a⁶b⁵​

Mathematics
2 answers:
Rasek [7]1 year ago
4 0

Answer:

12a^9b^7

Step-by-step explanation:

Multiplying variables of the same base, will require you to add the exponents.

4a^3b^2 * 3a^6b^5

         4*3 =  12

a^3 * a^6 =   a^9

b^2 * b^5 =   b^7

12a^9b^7

Amanda [17]1 year ago
4 0

Answer:

12a^{9}b^{7}

Step-by-step explanation:

4a^{3} b^{2} \times 3a^{6} b^{5}

<u>We'll use rule of exponents to simplify the expression:</u>

4^{1}a^{3}b^{2}\times 3^{1}a^{6}b^{5}

<u>Use the commutative property of Multiplication:</u>

4^{1}\times 3^{1}a^{3}a^{6}b^{2}b^{5}

<u>In order to multiply power of the same base, add their exponents:</u>

4^{1}\times 3^{1}a^{3+6}b^{2+5}

Add exponents 2 and 5:

4^{1}\times 3^{1}a^{9}b^{7}

<u>Multiply 4 times 3:</u>

12a^{9}b^{7}

<u>OAmalOHopeO</u>

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1 year ago
Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000,
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Answer:

Susan's take-home pay <u>$48,645</u>.

Step-by-step explanation:

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Now, to find Susan's take-home pay.

Basic salary = $70,000.

Now, her tax withholdings:

Federal income tax = $12,000.

State tax = $4,000.

<u><em>Social security tax = 6.2% of $70,000.</em></u>

=\frac{6.2}{100} \times 70,000\\\\=0.062\times 70,000\\\\=\$4340.

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Now, to get the take-home pay of Susan's we subtract all the tax holdings of federal, state, social and medicare from the basic salary:

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e.) What those rates means is that in every 100,000

Males in 2001, 11 of them were Victims of homicide and in every 100,000 females, 3 of them are victims of homicide.

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