Evaluate x + 3y when x = 4 and y = 5<br> *Please show how you got your answer*

It is known that 70% of the customers in a sporting goods store purchase a pair of running shoes. A random sample of 25 customer

Musya8 [376]

Answer:

Binomial distribution

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they purchase a pair of running shoes, or they do not. Customers' purchases are made independently. This means that the probability distribution of X is the binomial probability distribution.

6 0

3 years ago

What is the exact circumference of a circle with a radius of 12 inches?

kvv77 [185]

The radius of a circle is half the length of the circumference.
So multiply 12 by itself and you get 24.
The answer is C.

5 0

4 years ago

Read 2 more answers

Determine the amount needed such that when it comes time for retirement, an individual can make monthly withdraws in the amount

bazaltina [42]

Answer:

The amount needed such that when it comes time for retirement is $396721.78.

Step-by-step explanation:

Given : An individual can make monthly withdraws in the amount of $2,154 for 30 years from an account paying 5.1% compounded monthly.

To find : The amount needed such that when it comes time for retirement?

Solution :

Using the formula of monthly payment,

Monthly payment, $M=\frac{\text{Amount}}{\text{Discount factor}}$

Discount factor D=\frac{1-(1+i)^{-n}}{i}

Where,

Amount = ?

Monthly payment M=$2154

Rate r= 5.1%=0.051

$i=\frac{0.05}{12}=0.00425$

Time = 30 years

$n=30\times12=360$

Substitute all the values,

$D=\frac{1-(1+i)^{-n}}{i}$

$D=\frac{1-(1+0.00425)^{-360}}{0.00425}$

$D=\frac{1-(1.00425)^{-360}}{0.00425}$

$D=\frac{1-0.21723}{0.00425}$

$D=\frac{0.78277}{0.00425}$

$D=\$184.1811$

Monthly payment, $M=\frac{\text{Amount}}{\text{Discount factor}}$

$2154=\frac{A}{184.1811}$

$A=2154\times 184.1811$

$A=\$396721.778$

Nearest cent, $A=\$396721.78$

Therefore, the amount needed such that when it comes time for retirement is $396721.78.

6 0

4 years ago

Nancy sold 18 fewer boxes than Lucas. How many boxes did Lucas sell?

Jet001 [13]

This question is incomplete. Here is the complete question:

Nancy have sold 19 box in total. Nancy sold 18 fewer boxes than Lucas,

How many boxes did Lucas sell?

Answer:

The correct answer is 37.

Step-by-step explanation:

First we must analyze the data we have.

We know that the total number of boxes sold by Nancy is 19.

We know that Nancy sold 18 boxes less than Lucas.

But we don't know how many boxes Lucas sold, so we'll assign an x.

Now, knowing that Nancy sold 18 boxes less than Lucas, and that 19 is the total, the equation will be as follows:

x-18 = 19

The next thing we should do is try to make the term x remain alone, therefore we must move the -18, always remembering that a sum or a subtraction <u>passes to the other side with the opposite sign.</u> Then it will be:

x = 19 + 18

Then we solve the operation:

x = 37

In this way the variable x already has a result that is 37.

Therefore the correct answer is that Lucas sold 37 boxes.

6 0

4 years ago

Y - 4 = -2(x + 3)

Paraphin [41]

Answer:

(-3,4)

Step-by-step explanation:

Y - 4 = -2(x + 3)

Let x = -3

Y - 4 = -2(-3 + 3)

Y - 4 = -2(0)

Y -4 =0

Add 4 to each side

Y -4+4 =0+4

Y= 4

6 0

3 years ago

Evaluate x + 3y when x = 4 and y = 5 *Please show how you got your answer*

Evaluate x + 3y when x = 4 and y = 5 Please show how you got your answer