A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10, percent more than the number of shoppers the day before. What is the total number of shoppers that visited the mall in the first 7 days?

Answers

Answer 1

Answer:

1138

Step-by-step explanation:

From the information given:

We can represent it perfectly in an exponential form:

[tex]m = p(q)^x[/tex]

where;

p = initial value = 120

q = base of the exponential form

q = 1 + r

here; r = rate in decimal = 10% = 0.1

Then q can now be = 1 + 0.1 = 1.1

Replacing it into the exponential form, we get:

[tex]m = 120(1.1)^x[/tex]

where;

x = number of days and m = number of shoppers

Thus:

For the first day:

[tex]m = 120(1.1)^x[/tex]

m = 120

For the second day:

[tex]m = 120(1.1)^1[/tex]

m = 132

For the third day:

[tex]m = 120(1.1)^2[/tex]

m = 145.2

For the fourth day

[tex]m = 120(1.1)^3[/tex]

m = 159.72

For the  fifth-day

[tex]m = 120(1.1)^4[/tex]

m = 175.692

For the sixth-day

[tex]m = 120(1.1)^5[/tex]

m = 193.2612

For the seventh-day

[tex]m = 120(1.1)^6[/tex]

m = 212.58732

Thus; the total numbers of shoppers for the first 7 days is:

[tex]= 120+ 132 + 145.2 + 159.72 + 175.692+193.2612+212.58732[/tex]

= 1138.46052

1138


Related Questions

3. The number of years that Brad has been on the soccer team is 2 less than 5 times the number
of years that Scott has. In total, the boys have been on the soccer team for 10 years. How long
has Brad been on the soccer team?

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Answer:

Answer: Brad has been in the team for 8 years. Trust i got it right on the test

Step-by-step explanation:

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Answer:

Line 1 is y=-x-2

Line 2 is y=[tex]-\frac{1}{5}x+2[/tex]

Slope of Line 1 is -1 Slope of Line 2 is -[tex]\frac{1}{5}[/tex]

Y-intercept of Line 1 is -2 and Y-Intercept of Line 2 is 2

Following statements true: 1, 2, 4

Step-by-step explanation:

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ANSWER: $1.25

Explanation: $7.50 divided by 6


BRAINLIEST please

Answer:

It's the top answer or A.

Step-by-step explanation:

Because if you have 6 avocados for 7.50 just divide without including the decimal point. 750 divided by 6 is 125

include the decimal point in between 1 and 2

boom 1.25

What does (6×9)+6+9 equal?

Answers

Answer:

69

Step-by-step explanation:

Multiply 6 by 9

54

Plug this value back into the equation

54 + 6 + 9

Add 54 to 6

60

Now add 9 to 60

69

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In the given equation, k is a constant. If the equation has no solution, what is the value of k?

Answers

Answer:

0

Step-by-step explanation:

The value of constant 'k' will be [tex]\frac{1}{3}[/tex].

Given equation in the question is,

[tex]\frac{1}{3}\times (x-k)=kx[/tex]

Further solve the expression for the solution of the equation.

[tex]\frac{3}{3}\times (x-k)=3kx[/tex]

[tex](x-k)=3kx[/tex]

[tex]x-3kx-k=3kx-3kx[/tex]

[tex]x-3kx-k=0[/tex]

[tex]x(1-3k)=k[/tex]

[tex]\frac{x(1-3k)}{(1-3k)}=\frac{3kx}{1-3k}[/tex]

[tex]x=\frac{3kx}{(1-3k)}[/tex]

Since, equation has no value, denominator will be zero.

[tex]1-3k=0[/tex]

[tex]1=3k[/tex]

[tex]k=\frac{1}{3}[/tex]

     Therefore, Option (D) will be the correct option.

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What is the equation of the line through (2,-4) and (0,4)?

Answers

Answer:

y = -1/4x + 4

Step-by-step explanation:

y2-y1/x2-x1

Find the zeros of y = x - 8x – 3 by completing the square. O A. x = 4 + /19 O B. X= -4/19 -4 O C. * = 31.77 D. X = +3​

Answers

Answer:

I got -3/7

Step-by-step explanation:

What is the median of this data set?

9, 7, 9, 7, 3, 5, 9.

A. 3
B. 4
C. 7
D. 9

Answers

Answer: C
Reason: the median is going to be the number in the middle of all the numbers.
Take two pencils and put one on the last number and the other on the first number. Each time the pencils take a step towards each other. The number at which they meet is the median.
Hope this helps

I store Offers a rewards program where shoppers are in one point for every two dollars I spent +500 bonus points on their first purchase. But the function of represent the points earned as a function of the total amount spent ask. Write a function that represents the total number of points earned us as a function of the amount spent

Answers

Answer:

F(p) = 500 + 0.5p

Step-by-step explanation:

Given that :

Bonus point on first purchase = 500

Number of points earned for every 2 dollar spent = 1

Points earned as a function of amount spent :

Bonus point + points earned per dollar

Number of points earned per dollar = 1 / 2

Let p = amount spent

F(p) = function representing the points earned

Hence,

F(p) = 500 + 0.5p

Find the length of Ac. Round your answer to the nearest tenth

Answers

Answer:

x ≈ 4.3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tan∅ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify Variables

Angle = 35°

Opposite Leg = 3

Adjacent Leg = x

Step 2: Solve for x

Substitute [tangent]:                    tan35° = 3/xMultiply x:                                     xtan35° = 3Isolate x:                                       x = 3/tan35°Evaluate:                                       x = 4.28444Round:                                          x ≈ 4.3

Suppose a is an angle in standard position whose terminal side lies in Quadrant III.
If tan a = 2/3 find the value of sin a.

Answers

Answer:

Step-by-step explanation:

This is a simplified solution.

Find the slope of the line that passes through the point (4,8) and (3,-3)

WRITE YOUR ANSWER AS A DECIMAL AND ROUND TO THE NEAREST TENTH (1 decimal place)

Answers

Answer:

I don't think it's possible for this to be a decimal because the slope is positive 11.

Step-by-step explanation:

Use slope formula. x2-x1/y2-y1. Since we always go with the smaller x value we do 8-(-3) / 4-3/ We'll get 11 for 8-(-3) and we'll get 1 for 4-3/ so that leaves us with 11/1 which can't be simplified and has no decimal.

i did it and i got 11 i don’t think it comes out as a decimal

Simplify.

(22-7y+6)-(-4y2 + 3y+5)

Answers

Answer:

4y^2 - 10y + 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

(22 - 7y + 6) - (-4y² + 3y + 5) = 22 + -7y + 6 + 4y² - 3y  - 5

                                             = 22 + 6 - 5 - 7y - 3y  + 4y²

                                            = 23 - 10y + 4y²

simplify 150−55t to get the correct answer

Answers

Well it’s but that’s d yup nope no I’m kidding I’m not sure but I just hate it I hate you so I just hate it lol I love love y’all love bye love y’all love love y’all are y’all ok ok well yeah ok ok well I just hate to bother pls

Answer:

-5 (11t - 30)

Step-by-step explanation:

Rewrite 150 as 5 * 30

Rewrite 55 as 5 * 11

-5 * 11t + 5 * 30

Finally, factor out the common term, which in this case is -5.

The finalized answer to this problem is -5 (11t - 30).

I hope this helps you out with your question.

Bobby was painting a sign that was 2 3/4 feet by 1 1/2 feet. Use the model to help find the area of the sign.

What was the area of the sign in square feet?
A. 4 1/4 square feet
B. 4 1/8 square feet
C. 3 1/4 square feet
D. 3 1/8 square feet

Answers

Answer:

4 1/8 square feet

Step-by-step explanation:

Area= l*b assuming that it's a rectangle or a square

2 3/4* 1 1/2= to do this we need to convert these mixed fractions to improper fractions (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator. Then write the result on top of the denominator.)

so, 2 3/4 converted will be- 11/4

& 1 1/2 converted will be- 3/2

11/4*3/2=33/8

Now we need to convert this into a mixed fraction again, coz the question was given in that form. (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator Then write the result on top of the denominator.)- so,

The ans would be 4 1/8 sqft

This is an example of a(n)?

A) Contraction
B) Enlargement

Answers

Answer:

A) Contraction

Step-by-step explanation:

Answer:

The answer to this question is Contraction.

Help Mee!!! What’s the answer

Answers

Answer:

A.

Step-by-step explanation:

A rectangular garden is 4 feet wide and 9 feet long. The dimensions of the pool are 150% larger than the dimensions of the garden.

What are the dimensions of the pool?


600 feet wide and 1350 feet long.

6 feet wide and 13.5 feet long

5.5 feet wide and 10.5 feet long

8 feet wide and 18 feet long

Answers

Answer: B) 6 feet wide and 13.5 feet long

================================================

Work Shown:

150% = 1.5 after moving the decimal 2 spots to the left

Multiply this with each of the dimensions given

4*1.5 = 6

9*1.5 = 13.5

The pool is 6 feet by 13.5 feet

URGENT LOTS OF POINTS

Answers

Answer:

+2

Step-by-step explanation:

Answer:

its +2

Step-by-step explanation:

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x3 + 4x2 - 14x - 17/ X - 3​

Answers

Answer:-54 i think or its 54 over x -3

Step-by-step explanation:

hope this helped you

If 15% of 200 apples are bad, haw many apples are bad? (Please include explanation)

Answers

Answer:

30 bad apples.

Step-by-step explanation:

1% is equivalent to two bad apples because 200 is the 100%.

According to this statement, multiply 2 x 15.

30 bad apples

The Rodriguez family's ate 1/3 of a pan of brownies, they will take One part to their block party and the other to share with the co-workers. How much of the whole pan of brownies will each plate get?

Answers

Answer:

[tex]\dfrac{1}3[/tex]

Step-by-step explanation:

Given that:

Part of pan of brownies eaten by Rodriguez family = [tex]\frac{1}{3}[/tex]

One part of the remaining pan of brownies will be taken to the block party.

And the other part of the remaining pan of brownies will be given to the co-workers.

To find:

How much of the whole pan of brownies will be in each plate?

Solution:

First of all, let us find the remaining part of brownies after the family ate [tex]\frac{1}{3}[/tex] part of the pan.

Remaining = [tex]1-\frac{1}{3}=\frac{2}{3}[/tex]

Now, from the remaining pan of brownies, they are divided in 2 halves.

These part will be equal to:

[tex]\dfrac{\frac{2}{3}}{2} = \bold{\dfrac{1}{3}}[/tex]

Therefore, the answer is:

[tex]\dfrac{1}3[/tex]

I NEED HELP PLS!! If there are 22 total circles, how many circles must be under each splat?

(Pls be specific too!)

Answers

Answer: 5 under each splat

Step-by-step explanation:

Count how many circles there are. Which is 7 subtract from 22 and u get 15. 15 divided by 3 is 5

4 and 5 PLEASEEEE!!!

Answers

Answer:

True

Bones seperated from a joint

Step-by-step explanation:

Answer:

5 is bones separated from the joint

Step-by-step explanation:

In addition to the grains listed above, the recipe also
includes 11 cups of dried fruit. Show how to find the
amount of dried fruit needed if you use 3 cups of oats.

Answers

3/2 = 1.5
11 x 1.5 = 16.5
you would need 16.5 cups of dried fruit

Sammy Sales had the following receipts for his tree trimming business for the first six months of the year. What is the average of his sales for this period? (Use a thousands comma where applicable.) Jan. Feb. Mar. Apr. May Jun. $1,205 $1,450 $1,530 $1,655 $1,610 $1,710 $

Answers

[tex]average = \frac{sum \: \: of \: \:all \: \: obeservations}{no. \: \: of \: observaions} [/tex]

[tex] = \frac{1205 + 1450 + 1530 + 1655 + 1610 + 1710}{6} [/tex]

[tex] = \frac{9160}{6} [/tex]

[tex] = 1526.66[/tex]

___________________________________________

1526.66 is the average of his sales for this period.

PLSSSSS HELP ANSWER. I NEED THE EXACT ANSWER. What is the slope line of 0,-6 and 2,8.

Answers

Answer:

slope = differemce in "y" / difference in "x"

slope = (8 --6) / (2 -0)

slope = 7

Step-by-step explanation:

There is a stack of 8 cards, each given a different number from 1 to 8. Suppose we select a card randomly from the stack, replace it, and then randomly select another card. What is the probability that the first card is an odd number and the second card is greater than 5?

Answers

Answer:

1/3 of chance

ANOTHER QUESTION PLS HELP! 7TH GRADE MATH

Answers

Answer:

Yes, of 1 1/2

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

8 x what  equals 12

Divide 12 by 8 and that gives you 1.5  

now try 6 x 1.5 = 9

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Find all values of x that make the equation true.
3/x-4 = x-5/x

Answers

X = -2 - 2(square root)3 or x = -2 + 2 (square root )3

The solution of the given equation are;  X = -2 - 2√3 or x = -2 + 2 √3

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given an equation as 3/x-4 = x-5/x

Therefore, 3/x-4 = x-5/x

3 - 4x /x = x² - 5 / x

Cancel out the denominator;

3 - 4x =  x² - 5

x² - 5 - 3 + 4x = 0

x² - 8 + 4x = 0

x² + 4x - 8 = 0

For the value of x;

x = 4 + √16 + 32 / 2

x =  -2 + 2√3

OR

x = 4 - √16 + 32 / 2

x = -2 - 2√3

Hence, The solution of the given equation are;  X = -2 - 2√3 or x = -2 + 2 √3

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