80 points!

A store had 250 bottles of water. Each week, 40% of the bottles were sold and 48 new bottles arrived in shipments.

Which recursive function best represents the number of bottles of water in the store, given that f(0) = 250?


A. f(n) = f(n − 1) ⋅ 0.6 + 48, n > 0

B. f(n) = 250 − f(n − 1) ⋅ 0.4 + 48, n > 0

C. f(n) = f(n − 1) ⋅ 0.4 + 48, n > 0

D. f(n) = 250 − f(n − 1) ⋅ 0.6 + 48, n > 0

pls give reason

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Given:  

Initial number of bottles = 250

Every week = 40% is sold and 48 bottles arrive.

Week 1 = 250 - (250 x 0.40) + 48 = 250 - 100 + 48 = 198

Week 2 = 198 - (198 x 0.40) + 48 = 198 - 79 + 48 = 167

Answer is: A. f(n ) = f(n - 1) • 0.6 + 48, n > 0.


Related Questions

90+15x+8x-2=180
solve for x

Answers

Answer:

4

Step-by-step explanation:

88+23x=180

23x=180-88

23x=92

x=92/23

x=4

Hope this helped!

Answer:

x=4

Step-by-step explanation:

[tex]\sf 90+15x+8x-2=180[/tex]

[tex]\sf 90+23x-2=180[/tex]

[tex]\sf 23x+90-2=180[/tex]

[tex]\sf 23x+88=180[/tex]

[tex]\sf 23x+88-88=180-88[/tex]

[tex]\sf 23x=92[/tex]

[tex]\sf \cfrac{23x}{23}=\cfrac{92}{23}[/tex]

[tex]\sf x=4[/tex]

Divide 192kg in the ratio of 5:3.​

Answers

Answer:

120 Kg : 72 Kg

Step-by-step explanation:

Sum the parts of the ratio, 5 + 3 = 8 parts

Divide the quantity by 8 to find the value of one part of the ratio.

192 Kg ÷ 8 = 24 Kg , thus

5 parts = 5 × 24 Kg = 120 Kg

3 parts = 3 × 24 Kg = 72 Kg

192 Kg = 120Kg : 72 Kg in the ratio 5 : 3

Alright, second part of Absolute Value Homework.. For part c i need a number line that looks like the one i have attached please. Help is MUCH appreciated!!!

Answers

Answer:

a.  -0.01 < x - 8 < 0.01

b.  7.99 < x < 8.01

c.  see attachment

d. Bolt has to be greater than 7.99 mm and less than 8.01 mm to be within the margin of error of 0.01 mm.

Step-by-step explanation:

-0.01 < x - 8 < 0.01

-0.01 < x - 8   and   x - 8 < 0.01

7.99 < x                     x < 8.01

Write this as:   7.99 < x < 8.01

On graph the 7.99 and 8.01 are very near to each other and represented via open red circle.

Answer:

b. is 7.99 < x < 8.01

Step-by-step explanation:

Sorry, I don't know the other parts.

Factor the expression
70 + 95

Answers

Answer:

70+95

70=2*5*7

95=5*19

70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)

5*33=165 and 70+95=165 also

Answer:

70+95

70=2*5*7

95=5*19

70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)

5*33=165 and 70+95=165

Step-by-step explanation:

If a TV costs $310 and you have to pay a 7% sales tax, how much tax will you have to pay?

Answers

You will have to pay $21.70

Answer:

$21.70

Step-by-step explanation:

Find 7% of 310: [tex]\frac{7}{100}[/tex] × [tex]\frac{310}{1}[/tex]  [tex]\frac{7}{100}[/tex] × [tex]\frac{310}{1} = \frac{2170}{100}[/tex]  [tex]\frac{2170}{100} = \frac{21.7}{1} = 21.70[/tex]  

I hope this helps!

Alexis earns a weekly salary of $850 . She make 8% commission on all sales. This week she has $1200 in sales. What is the total amount of money Alexis earned for the week?

Answers

Answer:

12718001

Step-by-step explanation:

ur code:)

HELPPPPPPP ASAPPPPPP #6 PLEASEEEEE

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It's answer B because the amount that is added if equal to that that isn't.

Rewrite the following without an exponent
(2/3) ^ -3

Answers

Answer:

3.375 or [tex]\frac{27}{8}[/tex] (they're the same)

I hope this helps!

Sasha missed 20% of the problems on Coach Bristo's Test. The test had a total of 85 problems. How many problems did Carrie get correct on the test?

Answers

Answer: 68 correct

Step-by-step explanation: 20% of 85 is the same thing as 85 times 0.2. that equals to 17. She got 17 wrong, so 85-17 equals to 68. She got 68 problems correct and 17 wrong.

The answer to this question is 68.

85 x  20%= 17

85 - 17 = 68

Write an equation for the line parallel to the given line that contains C.
C(3,8); y = - 2x + 3
y =
(Type your answer in slope-intercept form.)

Answers

Answer:

?

Step-by-step explanation:

Answer:

your doing the same thing i just did but the answer is slope is 2x and intercept is 3

Between what two consecutive numbers does -√78 lie?

Answers

Answer:-8.83176086633

Step-by-step explanation:

84.695 to 1 significant factor

Answers

Answer:

 ___

= 80

I hope this helps you, and i hope you have a nice day.

Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

30

Step-by-step explanation:

How much was the decrease from Figure A to Figure B (let x be the decrease): 45x = 27Divide each by 45 to cancel out the 45 next to x. It should now look like this: x = 3/5To find x, we would normally multiply x by 3/5, but because we don't have x, we just DIVIDE 18 by 3/5: 18 ÷ 3/5 = 30So, x = 30

I hope this helps!

What is the least common multiple (LCM) of 7 and 9?
A.
120
B.
16
C.
63

Answers

Answer:

63 is the least common multiple of 7 and 9

Step-by-step explanation:

There is no number smaller than 63 that could be used as the the least common multiple so multiply 7 and 9. My friend daffy duck told me, math is mystery.

3 - 4 x 2 The first step to evaluate the expression is ...
5 x 3 - 4 The first step to evaluate the expression is ...
15 ÷ (3 x 5) x 2 The first step to evaluate the expression is ...
5 + 3 x 2 ÷ 6The first step to evaluate the expression is ...
THIS IS EASY, BUT I- JUST PLEASE HELP ME! NEED NOW!

Answers

To find these out you have to use the strategy of P (parenthesis) E (exponents) M (multiplication) D (division) A (addition) S (subtraction)

3 - 4 x 2 The first thing you need to do is do the multiplication part first, since subtraction is the last thing you need to do. You multiply 4 and 2 and get the answer of 8, then subtract 3 which is 5

5 x 3 - 4 The first thing you need to do is multiplication 5 x 3 which equals 15 and then do 15 - 4 = 11

15 ÷ (3 x 5) x 2 The first thing you do is you do the P (parenthesis) which is (3x5) which equals 15. Then you multiply 15 with 2 which is 30 and then divide 30 with 15 which is 2

5 + 3 x 2 ÷ 6 First you need to do the Multiplication which is 3 x 2 which equals 6, and then you do the division, which is 6 ÷ 6 which is 1. Then add 5 to the 1 which is 6.

Your welcome and please give brainly :)

an article after allowing a discount of 20% on its marked price was sold at a gain of 20% had it been sold after allowing 25% discount would have been of gain of rupees 125 find the Marked price of the article​

Answers

Answer:

Rs 120

Step-by-step explanation:

Let MP = m

Discount = 25% of MP = m/4

SP = MP - Discount

= m - m/4 = 3m/4

If profit is 20%, CP = 3m/4 x 100/120 = 5m/8

=> Profit = 3m/4 - 5m/8 = m/8

Given Profit - Discount = Rs 15

=> |m/8 - m/4| = 15

m/8 = 15

m = Rs 120

2. A tree casts a shadow 25m long. At the same time, a signpost next
to the tree casts a shadow 6m long. The signpost is 3.5m tall. How
tall is the tree?
(10 pts.)

Answers

Answer:

The height of the tree is 14.85[tex]\bar 3[/tex] m

Step-by-step explanation:

The length of the shadow cast by the tree = 25 m

The length of the shadow cast by the signpost = 6 m

The height of the signpost = 3.5 m

Therefore, by similar triangles, we have;

Let θ, represent the angle formed by the line extending a line from the tip of the shadow, to the tip of the object and let x represent the height of the tree, we have

Tan(θ) = Opposite/Adjacent = Height of the object/(The length of the shadow)

∴ Tan(θ) = 3.5/6 = x/25

x = 25 × 3.5/6 = 14.58[tex]\bar 3[/tex]

The height of the tree = x = 14.85[tex]\bar 3[/tex] m

hat is the speed of a car that takes 1.5 hours to travel 75 kilometers? _

Answers

Answer: Velocity

=

Displacement

Time

Explanation:

75 km = 75000 m

1.5 hours = 5400 sec

Applying the formula

Velocity

=

75000 m

5400 s

=

13.89 m/s

Step-by-step explanation:

Answer:

Speed= 50 km/h

Step-by-step explanation:

S=d/t

s=75km/1.5h

s=50km/h

Express the ratio below in its simplest form.
1/2 : 1/3 fraction

Answers

Answer:

Find the LCM of 2 and 3:

LCM = 2 x 3 = 6

Multiply the ratio by 6:

Ratio = 1/2 x 6 : 1/3 x 6

Ratio = 3 : 2

Help.
Brainliest and 25 points if correct.



Question:

The data presented in the table can be represented by a linear model.

1. What is the y-intercept of the data, and what does the y-intercept of this model represent?

2. What does the slope of this model represent?

Answers

Answer:

The y intercept it 0 hours and 44

In this model y intercept represnts the lowest possible score obtainable due to lowest study.

The slope shows there is a direct correlation as x increases so does the value of y so it has a positive slope. All it represents is the more they studied the higher they score

Step-by-step explanation:

Jackie has a maximum of $450 to spend on shirts and jeans. The shirts she wants to buy are $12 each, including tax. The jeans she wants to buy are $27 each, including tax. What is an inequality that represents all possible combinations of s, the number of shirts, and j, pairs of jeans, Jackie can buy

Answers

Answer: 12s+27j≤450

Step-by-step explanation:

From the question, we are informed that Jackie has a maximum of $450 to spend on shirts and jeans and that the shirts she wants to buy are $12 each, including tax while the jeans she wants to buy are $27 each, including tax.

The inequality that represents all possible combinations of s, the number of shirts, and j, pairs of jeans, Jackie can buy will be:

= 12s+27j≤450

Jason can travel 24 3/4 miles in a half an hour. what is the average speed in miles per hour?

Answers

24 3/4 miles is the distance
1/2 hour - is time
V=S/t
24 / 0.5 = =49.5 miles per hour

3x4 + 7x3 - x2 - 4x + 8

Answers

Sorry I don’t know the answer I am just to see my points because they are negative and am trying something I am so sorry :((( what the question mark BRAINLIST
41-6x
Negative 6x for info

The world speed record on water was set on October 8, 1978 by Ken Warby. If Ken drove his motorboat a distance of 1500 m in 8.102s, how fast was his boat moving in meters per second and kilometers per hour? (2)

Answers

Answer:

The world speed record on water was set on October 8, 1978 by Ken Warby of Blowering Dam, Australia. If Ken drove his motorboat a distance of 1000 m in 7.045 s,

Step-by-step explanation:

i think this is it

Solve inequality 5x+3>48

Answers

Answer:

x>9

Step-by-step explanation:

Answer:

x > 9

Step-by-step explanation:

Simply solve for x.

What we have to do is subtract 3 from both sides, then divide by 5 to both sides.

5x > 45

x > 9

x is greater than 9.

#teamtrees #WAP (Water And Plant)

At Creekland Middle School, there are 5 art classes with 24 students in each class. How many students altogether are in the art classes?

Answers

Answer:

120

Step-by-step explanation:

Okay you take the 24 students in each class

Then you take the 5 art classes in the school

Then you take the 5 and 24 and multiply them

And the sum of that is 120 and there

3. A rectangular floor of dimensions
8.4 m x 5.4 m is to be tiled with right-
triangular marble pieces, with base 40 cm
and height 30 cm. How many marble
pieces will be required to cover the floor?​

Answers

Answer:

area of the floor = 540*840.

=453600 cm sq.

area of the marbal piece = 1/2 * 40* 30 = 600 cm sq.

now,

no. of marble piece reqd. = 453600 / 600 = 756 marbal piece.

hope it helps u.

X^2+12x+27/x^2-3x-18

how to solve step by step

Answers

This the answer please give me brainliest answer

What is the inequality
1/3a + 1/2 > 2/3

Answers

Answer:

a>1/2

Step-by-step explanation:

1/3a>(2/3)-(1/2)=

1/3a>(1/6)=

a>1/2

Pretend you are living five hundred years in the future. Write a one-page diary entry describing what you encounter in a typical day. Do you enjoy your life? What kind of friends do you have? What type of activities are you involved in? What kind of problems, if any, do you experience?

Answers

Step-by-step explanation:

Imagining living a life for five hundred years in the future, can have two perspectives considering the reality of today's society.

Let us suppose that we currently overcome all challenges related to preserving the environment, sustainable consumption, violence, and racial discrimination. Well, considering that point of view, a typical day five hundred years from now would be a lot of fun, I imagine that we would have great biodiversity preservation centers, people would be more cordial with others, everyone would have access to education and essential rights, and we would use more bicycles as a means of transport, because even if they had already managed to invent teleportation, the bicycle would still be a good option for the practice of physical exercises.

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