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1 year ago

Enter a range if values for x.

Mathematics

1 answer:

Blizzard [7]1 year ago

3 0

Answer:

See the attachment photo!

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A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

2 years ago

Lee spent 1/3 of his money on a jacket then he spent 1/4 of he remainder on a skirt how much did his spend on the skirt and how

serg [7]

How is it possible to know how much he started with? Or is it not asking for an exact amount?

6 0

2 years ago

Jayden bought a bike for

alexandr1967 [171]

Answer:

the total cost of the bike including modifying cost is $24,150

Step-by-step explanation:

⇒ bike cost: $21,000

⇒ 15% of $21,000 is 0.15 x 21,000 = 3,150

⇒ initial + additional cost: $21,000 + $3,150 = $24,150

AND WELCOME TO BRAINLY!!

3 0

1 year ago

Evaluate the expression for x = 5, y = 3, and z=1/4 .

Helga [31]

Answer:

Step-by-step explanation:

5(5) - 6(3) + 20(1/4)4(3)(1/4)

25 - 18 + 5*12*0.25

25 - 18 + 60*0.25

25 - 18 + 15

7 + 15

4 0

1 year ago

Read 2 more answers

Use Euler's Formula to write 4 sqrt 2- 4i sqrt 2 in exponential form.

Oksanka [162]

Answer:

Step-by-step explanation:

8 0

2 years ago