All categories

2 years ago

The city of Toronto’s population rose from 2,000,000 to 4,500,000 in the last twenty years of the twentieth

Mathematics

1 answer:

Ostrovityanka [42]2 years ago

7 0

Answer:

Step-by-step explanation:

We will first find the percentage increase of 20 years. Then we will divide that by 20 to get the annual average percentage increase.

To get the percentage increase, we will find the increased amount and divide that by original population (2,000,000). Multiply that by 100 to get the percentage.

So,

Increased amount = 4,500,000 - 2,000,000 = 2,500,000

Now the percentage increase:

$\frac{2,500,000}{2,000,000}*100=125$

So, in 20 years, the percentage increase is 125%

Per Year = 125/20 = 6.25% average per year

No correct answer in the answer choices from A through D, so E is the correct answer, None of These.

You might be interested in

If sin 20 degree=a and cos20 degree=b then which of the following represents the correct value of sin 70 degree in terms of a an

Scorpion4ik [409]

ANSWER

3) b

EXPLANATION

Given that:

$\sin(20 \degree) = a$

and

$\cos(20 \degree) = b$

Recall that the sine and cosine functions are equal for complementary angles.

This implies that,

$\sin(70 \degree) = \cos(20 \degree)$

$\sin(70 \degree) = b$

5 0

2 years ago

What is the value of 6i/1+i? 2 – 6i 2 + 6i 3 – 3i 3 + 3i

mihalych1998 [28]

6i/ (1+i)

multiply by the complex conjugate (1-i)/(1-i)

6i/(1+i) * (1-i)/(1-i)

6i* (1-i) = 6i - 6i^2 = 6i - 6(-1) = 6i +6

(1+i)*(1-i)= 1-i +i -i^2 = 1 -i+i -(-1) = 1+1=2

(6+6i)/2

3+3i

Answer: 3+3i

6 0

2 years ago

Read 2 more answers

Sienna is solving the quadratic equation by completing the square. 3x2 + 9x – 4 = 0 3x2 + 9x = 4 A(x2 + 3x) = 4 What is the valu

bogdanovich [222]

Answer:

I am going to show you the first steps to complete squares for the given equation: 1) Starting equation: 3x^2 + 9x -4 = 0 2) Add 4 to both sides => 3x^2 + 9x - 4 + 4 = 4 => 3x^2 + 9x = 4 3) Extract common factor 3 in the left side => 3 (x^2 + 3x). Now, compare with a(x^2 + 3x) and you get a = 3. Answer: a = 3.

3 0

2 years ago

Read 2 more answers

Carlos shovels snow from driveways in his neighborhood. he charges $10 for each regular driveway and he charges an extra $7.50 f

stiks02 [169]

Let, the number of regular driveways be x.

Given there are 3 fewer large driveways than regular driveways.

So, the number of large driveways = $(x-3)$

Given, Carlas charges $10 for each regular driveway.

So for x regular driveway the amount will be = $ $(10)(x)$ = $ $(10x)$

And he charges extra $7.50 for each large driveway.

So for each large driveway Carlos charges = $ $(10+7.50)$ = $17.50.

For (x-3) large driveways Carlos will charge = $ $(17.50)(x-3)$ = $ $(17.50x - 52.50)$

Given, the total amount he makes = $140

So we can write the equation as,

$10x + 17.50x - 52.50 = 140$

$27.50x + 52.50 = 140$

We will move 52.50 to the right side by adding it to both sides. We will get,

$27.50x - 52.50 + 52.50 = 140 + 52.50$

$27.50x = 192.50$

Now to get x, we will move 27.50 to the right side by dividing it to both sides. We will get,

$\frac{(27.50x)}{27.50} =\frac{192.50}{27.50}$

$x =\frac{192.50}{52.50}$

$x = 7$

So we have got the required answer.

The number of regular driveways Carlos shovel = 7.

8 0

2 years ago

What is the 185th digit in the following pattern 12345678910111213141516...?

Natalka [10]

1-9 = 9 digits
10-99 = 180 digits
So if we continue the pattern to 99, there are 189 digits, and the last 5 digits would be 79899. Counting backwards: 189th = 9, 188th = 9, 187th = 8, 186th = 9, 185th = 7.

The 185th digit is 7.

4 0

2 years ago