MATHEMATICS COLLEGE

1. Ebony kept her bank account open for only 3 weeks, and the graph shows the entire 3 weeks. During that time, her greatest balance was $400. (a) Give the domain and range of the function. (b) Give an estimate to the nearest hundreds for . Explain how you determined your estimate and tell what means in context of the situation. (c) Ebony’s bank balance first reached $0 on Day 12. How would you show that information in function notation? (d) Ebony’s bank balance remained at $0 from Day 12 through Day 15. As you count segments from the left, which segment on the graph1, 2, 3, 4, 5, or 6 represents that information? Explain how you know.

Answers

Answer 1

Answer:

Answer:

a) 0 ≤ d ≤ 21 . . domain; 0 ≤ B ≤ 400 . . range

c) B(12) = 0

d) 4th segment

Step-by-step explanation:

(a) The domain of the function B(d) is from d = 0 to the number of days the account was open:

0 ≤ d ≤ 21 . . . . domain

The range is the set of values the bank balance might have. We know the minimum is 0 and the maximum is 400:

0 ≤ B ≤ 400 . . . . range

(b) (missing question content)

(c) The balance on day 12 is B(12). We're told it is zero, so...

B(12) = 0

(d) The 4th segment of the graph is at B(d) = 0.

In this context, it is reasonable to assume the vertical scale starts at 0 at the horizontal axis. We are told that (12, 0) is a point on the graph. It is consistent with this assumption that slightly more than halfway through the graphed domain, the graph meets the horizontal axis. The graph stays at the horizontal axis for "segment 4."

Answer 2

Answer:

Final answer:

The domain of the function is {1, 2, ..., 21}. The range of the function is {0, 100, 200, ..., 400}. In function notation, Ebony's bank balance reaching $0 on Day 12 would be written as f(12) = 0.

Explanation:

(a) The domain of the function represents the input values, which in this case are the number of days. Since Ebony kept her bank account open for 3 weeks, the domain would range from Day 1 to Day 21. So the domain is {1, 2, ..., 21}.
(b) The range of the function represents the output values, which in this case are the balances. Since Ebony's greatest balance during the 3 weeks was $400, the range would be {0, 100, 200, ..., 400}.
(c) To show that Ebony's bank balance first reached $0 on Day 12 using function notation, we would write it as f(12) = 0.
(d) The segment on the graph that represents Ebony's bank balance remaining at $0 from Day 12 through Day 15 would be Segment 4. This is because Segment 4 starts at the point where the balance is $0 on Day 12 and continues through Day 15 without any change in the balance.

Learn more about Bank account balance here:

brainly.com/question/20593819

#SPJ11

Related Questions

Divide. Give the quotient and remainder. 41÷8 Quotient:Remainder:
Which represents 8(95) using the distributive property to simplify
Consider the figure.Find AB if BC = 4, BD = 5, and AD = 5
Select all of the solutions to the original equation X=4X equals -16 X equals minus 4X equals 16 X equals minus 8X equals minus 1X equals one X equals eight
100pts: Convert the following expression into postfix notation: 4*(5/2^3-4)+4*(9-2)

a recipe for 30 cookies calls for 4 tablespoons of sugar. If you make 40 cookies and use 5 tablespoons of sugar, will the cookies taste the same? HELP ASAP WILL MARK BRAINLISET IF CORRECT

Answers

No because the each batch of 2 table spoons is 15 and 40 minus 30 equals 10 so no it won’t taste the same

Suppose that 30% of all students who have to buy a text for a particular course want a new copy (the successes!), whereas the other 70% want a used copy. Consider randomly selecting 15 purchasers.The bookstore has 10 new copies and 10 used copies in stock.
If 15 people come in one by one to purchase this text, what is the probability that all 15 will get the type of book they want from current stock?

Answers

Answer:

The probability that all 15 will get the type of book they want from current stock is 0.4838.

Step-by-step explanation:

Denote the random variable Xas the number of students who want to buy new copy.

The probability of a student wanting to buy a new copy is, P (X) = p = 0.30.

A random sample of n = 15 students is selected.

The random variable X follows a Binomial distribution.

The probability function of a Binomial distribution is:

$P(X=x)={n\choose x}p^(x)(1-p)^(n-x);\ x=0, 1, 2, 3,...$

It is provided that the bookstore has 10 new copies and 10 used copies in stock.

All the 15 students get their desired copy, then this can happen if at most 10 want to buy new copy and at least 5 wants to buy used copy.

Compute the probability of (5 ≤ X ≤ 10) as follows:

P (5 ≤ X ≤ 10) = P (X = 5) + P (X = 6) + P (X = 7) + P (X = 8) + P (X = 9) + P (X = 10)

$={15\choose 5}(0.30)^(5)(1-0.30)^(15-5)+{15\choose 6}(0.30)^(6)(1-0.30)^(15-6)\n+{15\choose 7}(0.30)^(7)(1-0.30)^(15-7)+{15\choose 8}(0.30)^(8)(1-0.30)^(15-8)\n+{15\choose 9}(0.30)^(9)(1-0.30)^(15-9)+{15\choose 10}(0.30)^(10)(1-0.30)^(15-10)\n=0.2061+0.1472+0.0811+0.0348+0.0116+0.0030\n=0.4838$

Thus, the probability that all 15 will get the type of book they want from current stock is 0.4838.

Question Help The bank statement included bank charges. On the bank reconciliation, this item is:
A.
a deduction from the balance per company books.
B.
a deduction from the balance per bank statement.
C.
an addition to the balance per bank statement.
D.
an addition to the balance per company books.

Answers

an addition to the balance per bank statement.

The correct answer would be B.

Because its a charge so it would be a deduction from the balance.

P(x)=3x² + 4x³-8+x⁴-7x Degree; Type; Leading coefficent;

Answers

Answer:

Degree: 4; Type: quartic; Leading coefficient: 1

Step-by-step explanation:

Which of the following statements could he use to prove his claim? select all that apply.

Answers

9514 1404 393

Answer:

B, D, E

Step-by-step explanation:

Any of the following will put rectangle 1 on top of rectangle 2:

reflection over the x-axis, translation right 7 units (B)
rotation 180° about the origin, translation right 1 unit (D)
reflection over the y-axis, translation right 1 and up 6 units (E)

In the sixth grade class at Madison Middle School, for every 6 students, 4 of them play at least one sport. If there are 270 students on the sixth grade class, how many of them play at least one sport? a) 39
b) 180
c) 11
d) 405

Answers

Answer:

B is the answer

Step-by-step explanation:

Because we can make 4/6 into 2/3 and 2/3 of 270 is 180

Other Questions

In an effort to make children’s toys safer and more tamperproof, toy packaging has become cumbersome for parents to remove in many cases. Accordingly, the director of marketing at Toys4Tots, a large toy manufacturer, wants to evaluate the effectiveness of a new packaging design that engineers claim will reduce customer complaints by more than 10 percentage points. Customer satisfaction surveys were sent to 220 parents who registered toys packaged under the old design and 220 parents who registered toys packaged under the new design. Of these, 81 parents expressed dissatisfaction with packaging of the old design, and 41 parents expressed dissatisfaction with packaging of the new design.What's the T-Statistic

Help me factorise 25tx squared + 20t - 24 please?

What is the slope of a line segment with endpoints at (-1, 1) and (1, 5)

The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°. Enter m∠WXZ. The measure of ∠WXZ is