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Dmitry_Shevchenko [17]

3 years ago

8

Natasha Pratt works as an administrative assistant for 40 hours a week, making $12 per hour. Her employer must pay FICA tax in t

he amount of 7.65% of her pay. How much FICA tax does her employer pay each month?

1 answer:

viktelen [127]3 years ago

8 0

$62.35 because 40*12=480 480 divided by 7.65=62.35 or just 62

I hope this helps:)

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Evaluate y^2 + 2y for y = 0, 1, and 2. Are the resulting numbers prime or composite.

Elza [17]

Y = 0:
$(0)^2+2(0)=0+0=0$
0 is neither prime nor composite.

y=1:
$(1)^2+2(1)=1+2=3$
3 is a prime number (because only 3 and 1 divide evenly into it)

y = 2:
$(2)^2+2(2)=4+4=8$
8 is a composite number (because multiple different numbers divide evenly into it: 1, 2, 4, and 8)

5 0

3 years ago

A trinidadian who is planning to visit Canada changed $3192 to canadian currency. How many $ did the triodion received

DanielleElmas [232]

Answer:

$3934

Step-by-step explanation:

We know that the currency of different countries are different.

So, one US dollar = 1.23 Canadian dollar

Given : $3192

A trinidadian changed some US dollar to Canadian dollar who plans to visit Canada.

He exchanged $3192.

Therefore,

1 US dollar = 1.23 Canadian dollar

The value of $ 3192 will be equal to = 1.23 x 3192

= $ 3933.96

≈ $ 3934

Therefore, triodion received = $ 3934.

8 0

3 years ago

Find a vector equation and parametric equations for the line through the point (7,4, 5) and parallel to the vector 3i 2j-k .

aleksley [76]

Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k

parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t

Step-by-step explanation: The vector equation is a line of the form:

r = $r_{0}$ + t.v

where

$r_{0}$ is the position vector;

v is the vector;

For point (7,4,5):

$r_{0}$ = 7i + 4j + 5k

Then, the equation is:

r = 7i + 4j + 5k + t(3i + 2j - k)

<u><em>r = (7 + 3t)</em></u><u><em>i</em></u><u><em> + (4 + 2t)</em></u><u><em>j </em></u><u><em>+ (5 - 5t)</em></u><u><em>k</em></u>

The parametric equations of the line are of the form:

x = $x_{0}$ + at

y = $y_{0}$ + bt

z = $z_{0}$ + ct

So, the parametric equations are:

<em><u>x = 7 + 3t</u></em>

<em><u>y = 4 + 2t</u></em>

<em><u>z = 5 - 5t</u></em>

4 0

3 years ago

A fair coin and a biased coin where the probability of obtaining a head is twice the probability of obtaining a tail. if both ar

Art [367]

Answer:

See below in bold.

Step-by-step explanation:

For the fair coin Prob(head) = 1/2 and Prob(Tail) = 1/2.

For the biased coin it is Prob(head) = 2/3 and Prob(Tail) = 1/3.

a) Prob(2 heads) = 1/2 * 2/3 = 1/3.

b) Prob(2 tails) = 1/2 * 1/3 = 1/6.

c) Prob(1 head ) = Prob(H T or T H) = 1/2 * 1/3 + 1/2 * 2/3) = 1/6+1/3 = 1/2.

d) Prob (at least one head) = prob (HH or TH or HT) = 1/3 + 1/2 =<em> </em>5/6.

4 0

3 years ago

A rectangular tank measuring 50 cm x 30 cm x 60 cm was completely filled with water. 1 5 of the water in the tank was transferre

Ierofanga [76]

Answer:

<em>72,000cm³</em>

Step-by-step explanation:

Volume of the rectangular tank = Length * Width * Height

Given

Length = 50cm

Width = 30cm

Height = 60cm

Get the volume:

Volume = 50*30*60

Volume = 90,000cm³

Hence the volume of the rectangular tank is 90,000cm³.

If 1/5 of the volume of water was transferred to another tank, the volume transferred will be:

Amount transferred = 1/5 * 90,000

Amount transferred = 18000cm³

Amount left in the tank = 90,000 - 18,000

<em>Amount of water left in the tank = 72,000cm³</em>

5 0

2 years ago