2 years ago

I really need help on this question. I need to write an equation and I am very confused

Mathematics

1 answer:

ladessa [460]2 years ago

3 0

Can't read it it's blurry. Sorry.

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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

$r = 0.1*100\%$

$r = 10\%$

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Look at the table representing the distance covered by a car accelerating from 0 miles per hour. The table shows a relationship.

vfiekz [6]

quadratic

second

✌️

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2 years ago

Calculate the missing angle and give a reason for your answer

Vanyuwa [196]

Step-by-step explanation:

the triangle is an isosceles triangle hence the base angles are equal

sum of angles in a triangle is 180°, therefore, the top angle =180-(62+62)

the top angle =56°

h°= the top angle because alternate angles are equal

hence, h=56°

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Which term describes the relationship between L A and 2 B, if the m LA= 84º and m 2 B = 96º7

Daniel [21]

Answer:

Supplementary

Step-by-step explanation:

84 plus 96 equals 180 degrees

supplementary angles are angles that add up to 180 so their relationship is supplementary

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1. Solve the problem [(–7 + 2) + 4] – 3 = ?

Anna11 [10]

For number 3 it is D

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