A function is created to represent the balance on a credit card each month. What restrictions would be made to the range?A)The range would only include integers.
B)The range would only include positive integers.
C)The range would only include negative integers.
D)The range would include all real numbers.

Please, support your answer with an example.

Answers

Answer 1

Answer:

Answer:

D)The range would include all real numbers.

Step-by-step explanation:

Range is all real number because function represent the balance on credit card each month. It may be cross over limit or lower limit.

If we purchase any goods using credit card balance will deduct from credit card and mark as negative number.

If we pay bill of credit card bill, this amount shows as positive number because any amount add to credit card.

In a month we purchased ,

Month Debit Credit

12/9/2018 $58.65

15//9/2018 $42.23

23/9/2018 $21.49

28/9/2018 $180.23

Total - $122.33 +$180.23

Net Balance in credit card = Debit + Credit = $57.90

Thus, Balance on credit card would be any real number.

Answer 2

Answer: It could include all real numbers, really. If you have +$130 you could use them to pay for something. If you have -$27.5 you need to pay this sum to the bank, since you overused your credit.

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A straight river flows east at a speed of 11 mi/h. A boater starts at the south shore of the river and wants to arrive at a point on the north shore of the river directly opposite the starting point. The motorboat has a speed of 22 mi/h relative to the water. In what direction should the boat be headed?

Answers

The direction should the boat be headed is 60 degrees north 30 degrees west and this can be determined by using the trigonometric functions.

Given :

A straight river flows east at a speed of 11 mi/h.
A boater starts at the south shore of the river and wants to arrive at a point on the north shore of the river directly opposite the starting point.
The motorboat has a speed of 22 mi/h relative to the water.

The following steps can be used in order to determine the direction should the boat be headed:

Step 1 - The trigonometric function can be used in order to determine the direction should the boat be headed.

Step 2 - The mathematicalexpression of the cosine function is given by:

$\rm cos\theta=(base)/(hypotenuse)$

where $\theta$ is the direction should the boat be headed.

Step 3 - Now, substitute the known values in the above formula.

$\rm cos\theta=(11)/(22)$

Step 4 - Simplify the above expression.

$\rm cos\theta=(1)/(2)$

$\theta = 60^\circ$

Step 5 - So, the angle from the west axis is given by:

$90-60=30^\circ$

The direction should the boat be headed is 60 degrees north 30 degrees west.

For more information, refer to the link given below:

brainly.com/question/11709244

Answer:

N 30 degree W

Step-by-step explanation:

We are given that

Speed of river flows=11 mi/h(East)

Speed of motorboat relative to water=22mi/h

We have to find the direction in which the boat should be headed.

Let direction of the boat = $\theta$

We know that

$Cos\theta=(Base)/(hypotenuse)$

Using the formula

$Cos\theta=(11)/(22)=(1)/(2)$

$Cos\theta=Cos60^(\circ)$

Because $Cos60^(\circ)=(1)/(2)$

$\theta=60^(\circ)$

Angle from the west axis= $90-60=30^(\circ)$ W

Hence, the direction of boat should be headed in N 30 degree W

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Answers

Answer: x=2

Step-by-step explanation: Plug 2 in the equation. 2 x 2 is 4. 4 + 14 is 18.

8x^2+4x
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Answers

Step-by-step explanation:

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For fun questionfind the formula for how many items are in a 2 deimentional pyramid (each row is 1 more than previous row like in attachment) when you have n number of rows

n=number of rows
n,x means when you have n rows, you have x items in pyramid

n=1, 1
n=2, 3
n=3, 6
n=4, 10
n=5, 15

find the number of items when you have n number of rows
f(n)=something

SHOW ALL WORK AND LOGIC
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Answers

We have an arithmetic progression:
an=number of item at row n

an=a₁+(n-1)d

d=common difference=an-a(n-1)=a₂-a₁=2-1=1
n=number of row

In this case:

an=1+(n-1)*1=n

The sum of an arithmetic serie is:
Sn=(a₁+an)n / 2

In this case:
a₁=1 (number of itms in the first row)
an=n (we have to calculate this before)

Sn=(1+n)n /2=(n+n²)/2

Therefore:
f(n)=Sn=number of items when we have n number of rows

f(n)=(n+n²)/2

Answer: f(n)=(n+n²)/2

To chek:

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Answers

Answer:

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Step-by-step explanation:

19×2= 38

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