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3 years ago

-PLEASE SHOW WORK!! -

Mathematics

1 answer:

Vinil7 [7]3 years ago

5 0

1. Gross pay= monthly salary+commission

Commission = 9652*0.03 = 289.56

Gross pay = 2985+289.50 = $3274.56

2. The FICA withholding amount for the employee is 7.65% of gross income wherein 6.2% is for Social Security and 1.45% is for Medicare.

So, FICA tax = $\frac{7.65}{100}*2190= 167.535$

3. Total earnings of Carol = 642.20+115.34+62.75 = $820.29

So, her hourly wage = $\frac{820.29}{37} =22.17$

Hence, Carol's hourly wage is = $22.17

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Factor the trinomial. Factor out the GCF first.<br> 5x^2y - 30xy^2 - 35y^3

anzhelika [568]

Answer: $5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)$

Step-by-step explanation:

GCF = Greatest common factor.

For example: 6 is the GCF of 12 and 18.

The given expression: $5x^2y - 30xy^2 - 35y^3$

It can be written as

$5x^2y - (5\times6)x( y\times y) - (5\times7)(y^2\times y)$

Taking out common factor $5y$ , we get

$5y(x^2-6xy-7y^2)\\\\ =5y(x^2+xy-7xy-7y^2)\ \ [\because-6xy=xy-7xy]\\\\=5y(x(x+y)-7y(x+y))\\\\= 5y((x+y)(x-7y))\\\\=5y(x+y)(x-7y)$

Hence, $5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)$

3 0

3 years ago

Suppose that a sample of size 100 is to be drawn from a population with standard deviation L0. a. What is the probability that t

NARA [144]

Answer:

The probability that the sample mean will lie within 2 values of μ is 0.9544.

Step-by-step explanation:

Here

the sample size is given as 100
the standard deviation is 10

The probability that the sample mean lies with 2 of the value of μ is given as

$P(| \bar{X}-\mu|$

Here converting the values in z form gives

$P(-2$

Substituting values

$P(-2$

From z table

$P(z\leq 2)=0.9772\\P(z\leq -2)=0.0228\\P(-2\leq z\leq 2)=P(z\leq 2)-P(z\leq -2)\\P(-2\leq z\leq 2)=0.9772-0.0228\\P(-2\leq z\leq 2)=0.9544\\$

So the probability that the sample mean will lie within 2 values of μ is 0.9544.

5 0

3 years ago

Plz help me, thank you

Kruka [31]

Answer:

$P=40(1.03526)^{t}$

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

$P=P_o(1+r)^{t}$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The initial number of bacteria is Po=40 and it doubles (P=2Po) at t=20 min. With that point we can find the value of r:

$2P_o=P_o(1+r)^{20}$

Simplifying:

$(1+r)^{20}=2$

Solving for 1+r:

$1+r=\sqrt[20]{2}$

$1+r=1.03526$

The exponential function that models the situation is:

$\mathbf{P=40(1.03526)^{t}}$

4 0

3 years ago

Plz help me asap worth 20 points

Ainat [17]

Answer:

OK so the equation has a exponent so if there is a exponent then you need to multiply. since 227 is the Area and the exponent is 2.

Step-by-step explanation:

3 0

2 years ago

Need some funny hair jokes for math teacher plss

Fiesta28 [93]

Answer:

Grey Hairs? Try some of our free Pi-Lights

Step-by-step explanation:

4 0

3 years ago