K(n)=2n-2. find k(-4)

Answers

Answer 1

Answer: -10 is the answer
Plug in -4 for n so 2x-4-2=-10

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An automobile designer is considering three body designs, five hood designs, and three fender designs. How many models would be required to show all possible ways of combining the designs?45
42
11

Answers

The right answer for the question that is being asked and shown above is that: "42." An automobile designer is considering three body designs, five hood designs, and three fender designs. There are 42 models would be required to show all possible ways of combining the designs

I'm pretty sure its 45

Please help me! You are offered a job as a sales professional. You are offered a monthly base (fixed) salary of $1,000 plus 30% of the total sales you make for the month.

1) Write a linear function that represents your monthly income.

2) What is the slope? What does it mean in this context?

3) What is the y-intercept? What does it mean in this context?

4) BONUS (1 pt) If you sell $5,000 worth of product, what is your monthly income?

Answers

Answer:

1) y = 0.3x + 1000

2) slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3) y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4) The salary is $2500

Step-by-step explanation:

monthly salary = fixed part + variable part

The fixed part is $1000. Every month you receive $1000 no matter the amount of sales.

The variable part varies according to the amount of sales. You get 30% of the of the monthly sales. Let the monthly sales be x. The variable part is 0.3x

Let the monthly salary = y.

y = 1000 + 0.3x

y = 0.3x + 1000

slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

In this case, x = 5000

y = 0.3x + 1000

y = 0.3(5000) + 1000

y = 1500 + 1000

y = 2500

The salary is $2500.

A recipe calls for cup of broth. The largest volume-measuring tool that Tabitha has is a teaspoon. She knows that there are 16 tablespoons in 1 cup and 3 teaspoons in 1 tablespoon. How many teaspoons of broth should she use?

Answers

Hey there

We know that a recipe calls for cup of broth. The largest volume-measuring tool that Tabitha has is a teaspoon. She knows that there are 16 tablespoons in 1 cup and 3 teaspoons in 1 tablespoon.

To solve the problem we have to use multiplication

16 x 3 = 48

She should use 48 teaspoons of broth.

1c = 16t = x( $(1)/(3)$ )
1c = 16t = 16 X 3
1c = 16t = 48

She should use 48 teaspoons of broth.

How much would $500 invested at 7% interest compounded annually be worth after 4 years? Round your answer to the nearest cent

Answers

Answer: $655.40

Step-by-step explanation:

Given : Principal amount = $500

The rate of interest compounded annually =7%=0.07

Time = 4 years

We know that compound amount after n years is given by :

$A=P(1+r)^n$

Thus for the given situation , the compounded amount after 4 years will be :-

$\n\Rightarrow\ A=500(1+0.07)^4\n\Rightarrow\ A=500(1.07)^4\n\Rightarrow\ A=\$655.398005\approx\$655.40........\text{to the nearest cent.}$

If 7% interest is compounded annually, then the value of the $500
after 'Y' years in the future is
$500 (1.07)^to the 'y' power .

For this exercise, it's $500 (1.07)⁴ = $ 655.40 .

Carmen is at a used bookstore. Paperback books cost $ 1 each, and hardcover books cost $ 2 each. Carmen can spend up to $ 10 in all.A. Write an inequality that represents this situation. let x be the number of paperback books, and let Y be the number of hardcover books.
B. Graph the solution to your inequality on the plane below

Answers

X+2y < (or equal to) 10

Answer:

x+2y </= 10

Step-by-step explanation:

The tax rate on Harriet Walker's $80,000 vacation home is 20 mills. The property is assessed at full value. How much will Harriet Walker pay in taxes this year?

Answers

Harriet should pay c.) $1,600

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