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2 years ago

12

A scientist uses a camera to study the stars.

1 answer:

Ugo [173]2 years ago

7 0

Answer:

sure

Step-by-step explanation:

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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

If you place these marbles in a bad, Close your eyes, and choose a marble, what is the probability that it’ll be pink.

Illusion [34]

Answer:3/14

Step-by-step explanation:

4 0

2 years ago

If I bought an outfit for $24.50 and sales tax is 8%, how much will I have to pay in all? *

aleksley [76]

Answer:

26.46

Step-by-step explanation:

24.50 x .08 = 1.96 (this is our sales taxes)

1.96 + 24.50 = 26.46

8 0

2 years ago

I think it is c, am I right?

Sphinxa [80]

Answer:

Yes

Step-by-step explanation:

8 0

2 years ago

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(15+6) divde 3 Evalute the expression

Tom [10]

Answer:

(15+6)/3

21/3=7

5 0

2 years ago

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