Answer:
$80,500
55,500 + 1,500t
Step-by-step explanation:
The question is an arithmetic progression series
Where,
a= first term
d= common difference
n= number of terms
a = $70,000
d= $1,500
n= 8 years
8th term = a + (n-1) d
= 70,000 + (8-1)1500
= 70,000 + 7(1500)
= 70,000 + 10,500
= $80,500
Jocelyn salary after 8 years is $80,500
Solve for when n = t
t th term = a + (n-1)d
= 70,000 + (t - 1)1500
= 70,000 + 1,500t - 1,500
= 55,500 + 1,500t
t th term = 55,500 + 1,500t
Let AB is representing height of man which is 1.82 m tall.
Answer:
50 tickets with a meal and 20 tickets without a meal
Step-by-step explanation:
Create two equations. Group the information based on labels. All the amounts that have $ in it go with one equation and the number of tickets will be in the second equation.
I will let x represent with a meal and y will represent without a meal
35x + 25y = 2250
x + y = 70
I will solve using substitution, so I will solve for y in the second equation. To do this, I will subtract x from both sides.
x - x + y = 70 - x
y = 70 - x
Now I will substitute in for y in the first equation and solve for x.
35x + 25(70 - x) = 2250
35x + 1750 - 25x = 2250
10x + 1750 = 2250
10x + 1750 - 1750 = 2250 - 1750
10x = 500
10x/10 = 500/10
x = 50
Now I will solve for y. I will use the original second equation and substitute 50 in for x.
x + y = 70
50 + y = 70
50 - 50 + y = 70 -50
y = 20
50 tickets with a meal and 20 tickets without a meal
Answer:
The profit = $(3x - 75) where x = number of t-shirts sold
Step-by-step explanation:
School spirit club wants to raise money by selling t-shirts. one local company charges a fixed fee of $75 for creating the design and $5 for each shirt that they print.
We have to find the club's income if they sell each t-shirt for $8.
Let the number of t-shirts that the club sell be equal to x.
So the cost of making x t-shirts = 75 + 5x
If the club sells x t-shirts , then the money they earn = 8x
Profit = selling price - cost price
= 8x - (75 + 5x)
= $(3x - 75)
The club also needs to sell at least 25 t-shirts to make a profit and from then on makes a profit of $3 on each t-shirt they sell.
Answer: None of these answers are correct; tell this to your teacher. The 1st answer is closest to correct.
Step-by-step explanation:
The second and fourth answers are not viable because expanding them would result in x^3 which is not in the original equation.
1. 5x(x+3)-2(x+3)
5x^2+13x-6, This answer is closest to correct and may be correct in the case of a typo.
3. 5x(x-3)-2(x-3) ; Expand
5x^2-15x - 2x +6
5x^2-17x+6
