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3 years ago

A bookstore manager marks down the price of older

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

3 0

Answer:

$31.02

Step-by-step explanation:

Find the amount of the discount:

47 x 0.34 = 15.98

Subtract the discount from the original price:

47 - 15.98 = 31.02

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The canteen made 15 liters of soup. By the afternoon they had sold

babunello [35]

Answer:

11.25 liters

Step-by-step explanation:

(3 / 4) * (15 liters)

3 0

3 years ago

The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo

VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

$P(t)=7.1(1.011)^{t}$

$7.1 \times 2=7.1(1.011)^{t}$

$\frac{7.1 \times 2}{7.1} =(1.011)^{t}$

$2 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(2) =ln (1.011)^{t}$

$ln(2) =t \cdot ln(1.011)$

$0.6931471805599453 =t \cdot 0.0109399400383344$

$t=\frac{0.6931471805599453}{0.0109399400383344}$

$t=63.3593217267282743049\approx 63.36$

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

$7.1 \times 3=7.1(1.011)^{t}$

$\frac{7.1 \times 3}{7.1} =(1.011)^{t}$

$3 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(3) =ln (1.011)^{t}$

$ln(3) =t \cdot ln(1.011)$

$1.0986122886681097 =t \cdot 0.0109399400383344$

$t=\frac{1.0986122886681097}{0.0109399400383344}$

$t=100.4221490079915311298\approx 100.42$

Therefore, it will take 100.42 years the population to triple of its size.

6 0

3 years ago

3y-y+8-2=20<br> combine like terms and solve

Flauer [41]

3y - y + 8 - 2 = 20
3y - y = 2y
8 - 2 = 6
2y + 6 = 20
2y = 20 - 6
y = 10 - 3
the answer is: y = 7

4 0

3 years ago

Write 2603094 using exponents?

Artemon [7]

2*10^6 + 6*10^5 + 3*10^3 +9*10^1 +4*10^0

see expanded form is adding the digits together. and it would be what ever one number is times 10 to the power of how many digits are after that number. you skip the 0's though. hope this helps

7 0

3 years ago

Read 2 more answers

What are the next three terms in the sequence 5, 14, 23, 32, ...? 43, 54, 65 45, 54, 63 41, 50, 59 47, 56, 65

nikitadnepr [17]

Take a careful look at 5, 14, 23, 32. Each new term is equal to the previous term PLUS 9. Thus, 9 is the "common difference."

Next 3 terms?

32 plus 9 is 41
41 plus 9 is 50
50 plus 9 is 59
59 plus 9 is 68.
and so on

So the "next 3 terms in the seq. 5, 14, 23, 32 are 41, 50, 59.

8 0

3 years ago

Read 2 more answers