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LekaFEV [45]
2 years ago
5

Big Bucks Bank charges a monthly service fee and a per-check fee, and its total monthly fees as they relate to the number of che

cks written per month is shown by the graph below. Which of these is the fee structure of Big Bucks Bank? A. A monthly service fee of $1.00 and a per-check fee of $0.50 B. A monthly service fee of $0.50 and a per-check fee of $1.00 C. A monthly service fee of $0.50 and a per-check fee of $0.50 D. A monthly service fee of $1.00 and a per-check fee of $1.00

Mathematics
2 answers:
Dima020 [189]2 years ago
7 0
ANSWER!

A monthly service fee of $0.50 and a per-check fee of $0.50.
Anastasy [175]2 years ago
3 0

Given that "Big Bucks Bank charges a monthly service fee and a per-check fee, and its total monthly fees as they relate to the number of checks written per month is shown by the graph below." But the related graph is missing so I will create a similar graph to explain how to find the answer.


Monthly service fee is like the fixed cost which is basically the y-value where graph crosses the y-axis.

From graph we see that graph crosses at 1 on y-axis so monthly service fee according to sample graph = $1


Now the per check fee works like slope of the line.

To find the slope we need two points so find any two points on the graph of line. I'm using points (1,0) and (4,3)

now slope can be found using formula

slope=m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-1}{4-0}=\frac{2}{4}=0.5

Hence per check fee will be $0.5 as per attached sample graph.


You can use same technique for the original graph given with this question.

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Which statement is true regarding the graphed functions?
katen-ka-za [31]

let's analyze each case to determine the solution

<u>case 1) </u>f(0) = 2 and g(–2) = 0

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 1) is false

<u>case 2) </u>f(0) = 4 and g(–2) = 4

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 2) is false

<u>case 3) </u>f(2) = 0 and g(–2) = 0

For x=2-----> find the value of f(2) in the graph-----> f(2)=0

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 3) is true

<u>case 4) </u>f(–2) = 0 and g(–2) = 0

For x=-2-----> find the value of f(-2) in the graph-----> f(-2) is greater than 12

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 4) is false

therefore

<u>the answer is</u>

f(2) = 0 and g(–2) = 0-------> this statement is true





7 0
2 years ago
Read 2 more answers
The amount of rhubarb in the original recipe is 3 1/2 cups. Using what you know of whole numbers and what you know of fractions,
Alexxx [7]
The easiest way, I think, is to convert the mixed number into an improper fraction, then multiply by 3.
3 1/2 = 7/2
7/2 · 3 = 21/2
now just change the improper fraction back to a mixed number by dividing and putting the remainder into fraction form
21/2 = 10 1/2

You could also multiply the whole number by 3 and the fraction by 3, ending up with 9 3/2, but then have to convert the improper fraction into a mixed number
3/2 = 1 1/2
then add the numbers together
9 + 1 1/2 = 10 1/2
either way works, whatever is easiest for you.  
8 0
2 years ago
Talia is packing a moving box. She has a square-framed poster with an area of 4 square feet. The cube-shaped box has a volume of
yan [13]

Answer:

Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

Step-by-step explanation:

In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:

Area of poster = 4 square feet

Area of poster =  (Length)²

4 = (Length)²

∴ Length = √(4)

Length of poster = 2 Ft

Volume of box = 14 cubic feet

Volume of box = (Length)³

14 = (Length)³

∴ Length = ∛(14)

Length = 2.41 Ft

∴ Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

3 0
2 years ago
Jackson goes to the gym 0, 2, or 3 days per week, depending on work demands. The expected value of the number of days per week t
valina [46]

For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.

For the given case we have following values and their probabilities:

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2 : x

3 : y

So the expected value will be = 0(0.1) + 2(x) + 3(y)

Expected value is given to be 2.05. So we can write the equation as:

2x + 3y = 2.05 (Equation 1)

Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:

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From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:

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1.8 - 2y + 3y = 2.05

1.8 + y = 2.05

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Using the value of y in equation 2 we get value of x to be 0.65

Therefore we can conclude that:

The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25

6 0
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Answer:

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Step-by-step explanation:

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