Your starting salary at a new company is $34,000 and it increase by 2.5% each year. What will you salary be in 5 years? d) Your car cost $42,500 when you purchased it in 2015. The value of the car decreases by 15% annually. How much will your car be worth in 2022?

Given:

a)

The salary of the company in first year = $34000

The salary is increased by 2.5% each year.

To find the salary in 5 years.

Formula

If the original salary is x and is increased by b% every year, the salary after t years is =

Now,

Putting,

we get,

The salary after 5 years

=

=

= 38467.88 (approx)

Hence,

The salary after 5 years is $ 38467.88.

b)

Given:

The price of the car in 2015 = $42500

The value of the car decreased by 15% annually.

To find the price of car in 2022.

Formula:

If the original price is x and is decreased by b% every year, the price after t years is =

Now,

Putting,

we get,

The price of the car in 2022 is:

= (approx)

Hence,

The price of the car in 2022 is $ 13624.52.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

happy to

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