MATHEMATICS MIDDLE SCHOOL

A new shopping mall records 120 total shoppers on their first day of business. Each day after that, thenumber of shoppers is 10% 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?

Round your final answer to the nearest integer.

Answers

Answer 1

Answer:

$\boldsymbol{\mathbf{Answer}}$

$\boldsymbol{\mathbf{213\,shoppers\, will\, visit\,on \, first\, seventh\, day}}$

$\boldsymbol{\mathbf{Step-by-step explanation}}$

Let, No of shoppers on first day = a

No of shoppers on second day = b

Similarly till seventh day,

Therfore shoppers on seventh day=

a + b + c + d + e + f + g

As mentioned ,number of shoppers is 10% more than the number of shoppers the day before. i.e we can understand that a to g all are 1.1 times bigger than the previous letter.

That means all are in geometric series.

We know the formula for sum of geometric series is,

= $\boldsymbol{\mathbf{\sum {a}*{r^((n-1))}}}$

$\boldsymbol{\mathbf{a \, is\, first\, value}}$

$\boldsymbol{\mathbf{r \, is\, multiplication\, factor\, value}}$

$\boldsymbol{\mathbf{n \, is\, no\, items\, in\, series}}$

That is,

a = 120

r = 1.1

n = 7

= $\sum {120}*{1.1^((7-1))}$

= ${120}*{1.7715}$

= 212.58

Approximately

$\boldsymbol{\mathbf{=\, 213 \,shoppers \,will\, be \,there\, on \,seventh \,day.}}$

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What is the express the value of 530, 000, 000 - 442, 000, 000 in scientific notation?

Answers

Answer: 8.8 × 10^7

Step-by-step explanation:

530,000,000-442,000,000=88000000=8.8 × 10^7

Natalie earns $2.50 for each cd she sells and $3.50 for each dvd she sells. Natalie sold 45 dvds last year. She earned a total of $780 last year selling cds and dvds.

Write an equation that can be used to determine the number of cds [c] Natalie sold last year.

How many cd's did Natalie sell last year?

Answers

45 x 3.50 = 157.50
780 - 157.50 = 622.50
622.50 / 2.50 = 249
Natalie sold 249 cds last year

Answer:

each cd she sells and $3.50 for each dvd she sells. natalie sold 45 dvds last year. she earned a total of $780 last year selling cds and dvds.

Step-by-step explanation:

If I sell 80 books for $2 how much money will I make?

Answers

Answer:

$160

Step-by-step explanation:

80 * $2

$160

Answer: $160

What are the excluded values?

0 and 15

3 and -5

-3 and 5

Answers

Answer:

x=5 x = -3

Step-by-step explanation:

-7 / ( x^2 -2x -15)

Factor the denominator

-7

----

(x-5) ( x+3)

The excluded values are when the denominator is equal to zero

(x-5) (x+3) =0

x-5 =0 x+3=0

x=5 x = -3

What are the solution(s) to the quadratic equation x2 – 25 = 0?O x= 5 and x = -5
O x = 25 and x = -25 A
O x = 125 and x = -125
O no real solution
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