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3 years ago

Bobby Johnson gross weekly pay is $375 how much does he pay for social security for a pay period?

Mathematics

1 answer:

fredd [130]3 years ago

4 0

Answer:

Option A is correct

$23.25 does he pay for social security for a pay period.

Step-by-step explanation:

Bobby Johnson gross weekly pay is $375.

Given: Social security tax rate is 6.2% and medicare Tax rate is 1.45%.

we have to calculate the Social security for a pay period.

To find the percentage of any number:

* Multiply the number by the percent and

* Divide that answer by 100.

Bobby Johnson paid for social security for a pay period = 6.2% of $ 375

then,

$\frac{6.2}{100} \times $375$ or

$\frac{6.2\times 375}{100}=\frac{2325}{100}= \$23.25$

therefore, $23.25 does he pay for social security for a pay period.

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Motor vehicles sold to individuals are classified as either cars or light trucks (including SUVs) and as either domestic or impo

Rudik [331]

Answer:

a) Probability that vehicle is Light Truck is 0.69

b) Probability that vehicle is imported car is 0.08 or 8%.

Step-by-step explanation:

Part a)

Event that vehicle is a car is given by A. Since, the vehicles can only be classified as cars or light trucks, the event that a vehicle will be light truck will be compliment of A.

i.e. Event that vehicle is a Light Truck = $A^{c}$

It is given that in recent year 69% of vehicles sold were light trucks, 78% were domestic, and 55% were domestic light trucks.

So, from here we can say that, if a vehicle is randomly selected from all the vehicles the probability that it would be a light truck will be:

P(Vehicle will be Light Truck) = P( $A^{c}$ ) = 69% = 0.69

Part b)

Event that vehicle is imported is given by B. We need to find the probability the a randomly chosen vehicle is an imported car i.e. we have to find probability of occurrence of events A and B together, which will be denoted as: P(A and B)

Since, P( $A^{c}$ ) = 69% = 0.69

P(A) = 1 - P( $A^{c}$ ) = 1 - 0.69 = 0.31

It is also given that 78% of vehicles were domestic. This means, the percentage/probability of imported vehicles is:

P(B) = 1 - 0.78 = 0.22

55% of vehicles were domestic light trucks. This can be expressed as:

$P(A^{c}\&B^{c})$ , the compliment of this event will give us P(A or B).

i.e.

P(A or B) = 1 - $P(A^{c} \&B^{c})$ = 1 - 0.55 = 0.45

According to the addition rule of probabilities:

P(A or B) = P(A) + P(B) - P(A and B)

Substituting the calculated values gives us:

0.45 = 0.31 + 0.22 - P(A and B)

P(A and B) = 0.08

This means, the probability that vehicle is imported car is 0.08 or 8%.

4 0

3 years ago

Question 10 of 10

vivado [14]

Answer:

D) √3

Step-by-step explanation:

Hope this helps! Please give brainliest!

7 0

2 years ago

A cylinder has volume 78 cm³. What is the volume of a cone with the same radius and height?

OleMash [197]

Answer:

The volume of the cone is $26\ cm^{3}$

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^{2}h$

In this problem we have that

$V=78\ cm^{3}$

$78=\pi r^{2}h$ -----> equation A

The volume of a cone with the same radius and height is equal to

$V=\frac{1}{3}(\pi r^{2}h)$ -----> equation B

Substitute equation A in equation B

$V=\frac{1}{3}(78)$

$V=26\ cm^{3}$

6 0

4 years ago

Find the greatest common factor of 6w^3 and 5n^4

scZoUnD [109]

Hi there!

• Greatest Common Factor :-

GCF is th' greatest factor that divides two numbers.

To find the GCF of two numbers :-

→ List the prime factors of each number.
→ Multiply those factors both numbers have in common.

Accr'ding to the question :-

5n⁴ = 5 × n × n × n × n × 1
6w³ = 2 × 3 × w × w × w × 1

Greatest Common Factor [ 5n⁴, 6w³ ] = 1

~ Hope it helps!

7 0

3 years ago

Last year the depth of the river was 4.2 feet deep. This year it dropped 25%. Find the depth of the river this year to cross it.

Novosadov [1.4K]

Answer:

The river is 3.15 feet deep.

Step-by-step explanation:

First let's recognize what we need to find: the depth of the river

We know last year the river was 4.2 feet deep, but it dropped 25%. This means we also need to find how much it dropped. To find this, we need to know what 25% of 4.2 is. Write an equation for this.

y = 25% of 4.2

y = 0.25 • 4.2

y = 1.05

This means that the river dropped 1.05 feet. To know its depth now, we need to subtract 1.05 from 4.2. Write an equation for this.

d = 4.2 - 1.05

d = 3.15

The river is 3.15 feet deep.

Hope this helps!

4 0

4 years ago