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2 years ago

A Book has 1257 digits in it page numbers. How many pages does the book have?

1 answer:

6 0

Each page from 10 to 99, inclusive (so total of 90 pages) needs two digits (for example page 12 needs two digits: 1 and 2); Each page from 100 to 200, inclusive (so total of 101 pages) needs three digits (for example page 123 needs three digits: 1, 2 and 3)

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The world's population has grown at an average rate of 1.9 percent per year since 1945. There were approximately 4 billion peopl

kkurt [141]

Answer: $f(t) = 4000000000( 1 .019)^t$

Step-by-step explanation:

Here, According to the question, The population of the world is 4 billion (approx).

Again According to the question, The world's population has grown at an average rate of 1.9 percent per year since 1945.

Therefore, after 1975 the growth rate will remains same.

Thus, the population of the world after t years,

$f(t) = 4000000000( 1+\frac{1.9}{100} )^t$ (By the formula $A = P(1+\frac{r}{100})^t$ )

⇒ $f(t) = 4000000000( 1.019 )^t$

Where 1.019 is the growth rate and 4 billion is the initial population.

6 0

2 years ago

James has $5.00 more than three times what Catherine has. Together they have $41.00. How much does each student have?

Tpy6a [65]

Hey.

acc'g to the conditions :

Let Catherine has x
and James has 5 + 3x

Then,

$5 + 4x = 41 \\ \\ \implies 4x +5 -5 = 41-5 \\ \\ \implies 4x = 36 \\ \\ \implies x= \dfrac{36}{4} \\ \\ \implies x = 9$

Hence

• Catherine has = x = $9,
• and James has = 5 +3x = 5 + 3(9) = $32

Thanks.

7 0

2 years ago

1. What are the zeros of the function?

Juliette [100K]

C.

You can factor that equation to the following:

x(x - 3)(x + 2)

Then set each part equal to zero and solve individually.

4 0

3 years ago

Read 2 more answers

Simplify 4a +3b - a -5b

Umnica [9.8K]

4a + 3b - a - 5b

First, gather the like terms.
$(4a - a)+(3b-5b)$
Second, subtract 4a - a to get 3a.
$(3a)+(3b-5b)$
Third, subtract 3b - 5b to get 2b.
$3a - 2b$

Answer: 3a - 2b

6 0

2 years ago

The sum of three consecutive even integers is 108. What is the largest number?

horrorfan [7]

Answer:

The largest of three numbers is 38.

Step-by-step explanation:

Given : The sum of three consecutive even integers is 108.

We have to find the largest of three consecutive even integer.

Consecutive integers are integer having a difference of one between each term . example 14 , 15, 16 ..

consecutive even integers are integers having a difference of two between them such that first term is in the form of 2n , where n is integers.

Consider the three consecutive even integers are 2n , 2n + 2 , 2n + 4

Also, given The sum of three consecutive even integers is 108.

that is 2n + 2n + 2 + 2n + 4 = 108

Simplify, we get,

6n + 6 = 108

Subtract 6 both side, we get,

6n = 102

Divide by 6 both side, we get,

n = 17

Thus, numbers are 2n = 2 × 17 = 34

2n + 2 = 34 + 2 = 36

2n + 4 = 34 + 4 = 38

Thus, The sum of three consecutive even integers is 108 then integers are 34, 36, 38 .

Thus, The largest of three numbers is 38.

3 0

2 years ago