Tom has just received a new job offer he is told his starting salary will be at 75000 per year he is also told that his salary will be probably be 83000 in the next 4 years how much will he make in the next 10 years? i need to know the linear equation an expression that can be written out for a graph you

Tom has just received a new job offer he is told his starting salary will be at 75000 per year he is also told that his salary will be probably be 83000 in the next 4 years

Let x be the number of years and y be the salary

his starting salary will be at 75000 per year

so when x=0 , y = 75000

In 4 years, the salary will be 83000

so when x = 4 , y = 83000

We got two points (0,75000)  and (4,83000)

Now we find slope and frame equation

The formula for slope using two points

Replace all the values and find out slope

So slope = 2000

Now we use point slope formula

We use slope m = 2000 and (0,75000)

y - 75000= 2000(x-0)

Add 75000 on both sides

y = 2000x + 75000

Required linear equation is y = 2000x + 75000

is only a line? i think so

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.