12 = 0.005 X W
Solve the equation

Answer:

- The population in 2001 is 23.1 million

- It will reach 28.3 million in 2013

Step-by-step explanation:

Given

[tex]A =23.1e^{0.0152t}[/tex]

Solving (a): Population in 2000.

This implies that

[tex]t = 2000 - 2000[/tex]

[tex]t = 0[/tex]

So, we have:

[tex]A =23.1e^{0.0152t}[/tex]

[tex]A =23.1e^{0.0152*0}[/tex]

[tex]A =23.1e^{0}[/tex]

Solve the exponent

[tex]A =23.1*1[/tex]

[tex]A =23.1[/tex]

The population in 2001 is 23.1 million

Solving (b): When will it reach 28.3 million

This implies that:

[tex]A =28.3[/tex]

So, we have:

[tex]A =23.1e^{0.0152t}[/tex]

[tex]28.3 = 23.1e^{0.0152t}[/tex]

Divide both sides by 23.1

[tex]1.225 = e^{0.0152t}[/tex]

Take natural logarithm of both sides

[tex]ln\ 1.225 = ln(e^{0.0152t})[/tex]

Rewrite as:

[tex]ln\ 1.225 = 0.0152t\ ln(e)[/tex]

[tex]ln(e) = 1[/tex]

So:

[tex]ln\ 1.225 = 0.0152t*1[/tex]

[tex]ln\ 1.225 = 0.0152t[/tex]

Make t the subject

[tex]t = \frac{ln\ 1.225}{0.0152}[/tex]

[tex]t = \frac{0.2029}{0.0152}[/tex]

[tex]t \approx 13[/tex]

Add the value of t to 2013 to get the actual year

[tex]Year = 2000 +13[/tex]

[tex]Year = 2013[/tex]

It will reach 28.3 million in 2013

Answer:

The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56

Step-by-step explanation:

The amount is given by

[tex]V = Pe^{rt}[/tex]

Given P = $6520

r = 2.5%

t = 3 years

Substituting the given values, we get -

[tex]V = 6520 * e^{2.5*3/100 }\\V = 6520 * 1.078\\V = 7028.56[/tex]

The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56

Answer:

0.25

Step-by-step explanation:

-5x - 10x = -15x

-15x = -60

x = 0.25

Answer: x=-4

Step-by-step explanation:

Answer:

Answer is 51

Step-by-step explanation:

5(6) + 3(7)

30 + 21

51

Answer:

first you woub sub 6 into x and 7 into y then you would multiple 5 and 6 to get 30 and then multiple 3 and 7 to get 21. lastly add 30 and 21 to give a total of 51

Step-by-step explanation:

5x+3y

5(6)+3(7)

30+21

51

hope this helps

Answer: 2 dolls

Step-by-step explanation: got it right

Answer:

345

Step-by-step explanation:

Step-by-step explanation:

Sol

Given that ,

mean =300

standard deviation =a =70

n=100

ux=128

a ) within 6 =300 +/-6 : 294, 306

P(294' ' 306)

: P(-0.86 : Z ' 0.86)

: P(Z ' 0.86) - P(Z ' -0.86)

Using z table,

: 0.8051-0.1949

: 0.6102

Probability : 0.6102

a ) within 18 =300 18 : 294, 318

P(294' ' 306)

: P(Z ' 2.57) - P(Z ' -2.57)

Using z table,

:0.9949-0.0051

:0.9898

Probability =0.9898

Answer:

C.

Step-by-step explanation:

The median is the line in the middle of the box plot.

C is the answer because 75 is the largest median out of all the choices.

Answer:

There is four boxes I answered this in order

1st box: 3

2nd Box:  7

3rd box: 15

4th box : 19

5th box ; 16

Step-by-step explanation:

This is simple

Answer:

B

Step-by-step explanation:

Answer: HL

Step-by-step explanation:

The shared side is congruent, meaning the triangles are congruent by HL.

Answer:

8100

Step-by-step explanation:

8100/12=675

8100/18=450

8100/30=270

Answer:

Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

multiply length and width then divide the volume by the product of length times width

3/4 x 1/2 then divide 15/16

Answer:

10th term is 10

Step-by-step explanation:

The nth term for finding the geometric progression is expressed as;

Tn = ar^n-1

a is the first term

r is the common ratio

n is the number of terms

a11 = ar^11-1

a11 = ar^10

Since a11 = -5 and r = -1/2

-5 = a(-1/2)^10

-5 = a(1/1024)

a= 1024 * -5

a = -5120

Nest is to get the 10th terms

a10 = ar^9

a10 = -5120 * (-1/2)^9

a10 = -5120 * -1/512

a10 = 10

Hence the 10th term of the sequence is 10

y=x-5

Thatll be one brainliest

Answer:

it would be the last one i meant

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5 + 5

Answer:

The solution is [tex]x = 0.83[/tex]

Step-by-step explanation:

We are given the following equation:

[tex]e^{3x} = 12[/tex]

To isolate x, we apply ln, which is the inverse of the exponential. So

[tex]\ln{e^{3x}} = \ln{12}[/tex]

[tex]3x = \ln{12}[/tex]

[tex]x = \frac{\ln{12}}{3}[/tex]

Using a calculator:

[tex]x = 0.83[/tex]

The solution is [tex]x = 0.83[/tex]

Answer:

j = 11

Step-by-step explanation:

$25 - $14 = 11

Answer:

-11.

Step-by-step explanation:

f(x) = √(3 - 2x),   x ≤ 3/2

let y = √(3 - 2x)

y^2 = 3 - 2x

2x = 3 - y^2

x = (3 - y^2)/2

So f-1(x) = (3 - x^2)/2  

f-1(x) = (3 - 5^2) / 2 = -11.

Answer:

15

Step-by-step explanation:

the answer is 15. 12×15=180

Answer:

Step-by-step explanation

$20 but im not for sure so if im wrong im sorry

19.20 you have to do a squared times b squared and the square root them and there's your answer

Answer:

-48

Step-by-step explanation:

(-2)(-3)(-4)(-1)(-2)

(6)(-4)(-1)(-2)

(-24)(-1)(-2)

(24)(-2)

(-48)

Answer:

Angle A = 17°, Angle B = 73°

Step-by-step explanation:

Angle A & Angle B are complementary angles (given) so they will form 90°.

Let's take,

Angle A = x

Angle B = 4x +5 (angle B is five degrees more than four times angle A)

Measure of each angle=?

Angle A + Angle B = 90°

x + 4x + 5 = 90

5x + 5 = 90

5x = 90 - 5

5x = 85

x = 85 ÷ 5

x = 17°

Angle A = x = 17°

Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°

•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•

Answer:

y=3

Step-by-step explanation:

12-3(3)<6

12-9<6

3<6

This makes the expression true so y=3

Answer:

y > 2

Step-by-step explanation:

isolate the y:

=> -3y < 6 -12

=> -3y < -6

=> y > 2

       ↑ have to change the inequality sign when divide/multiply by a negative number

Answer:

Area of Grass = 6 m²

Area of Cement = 24 m²

Area of Grass and Cement Together = 30 m²

Step-by-step explanation:

Area of Grass = 3m × 2m = 6m²

Area of Cement = (6m × 5m) - 6m² = 30m² - 6m² = 24m²

Area of Grass and Cement Together = 6m² + 24m² = 30m²