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
3 next number in the given pattern: 3.5 , 13, 41.5, 127,
_______, _________, ________
<span>We have the first 4 given pattern, next is to find the next
3 consecutive numbers:
x = numbers we’re looking
g =given numbers
=> 3.5g + x = 13
=> 13g + x = 41.5
=> 41.5g + x = 127
Now, let’s remove the decimals, multiply by 2
=> 2(3.5) + 2x = 2(13)
=> 7 + 2x = 26
=> 2 (13) + 2x = 2(41.5)
=> 26 + 2x = 83
=> 2(41.5) + 2x = 2(127)
=>83 + 2x = 247
Now, we already have whole numbers. Next is to solve the value of x’s and g’s
2x = 26-7
26 + 26 = 7 = 83
19 + 26 = 83
19 = 57
g = 3
2x = 26 -7
2x = 26 – 7 (3)
2x = 26 – 21
2x = 5
x = 2.5
Now, let’s find the next 3 consecutive numbers
=> 127 (3) + 2.5 = 383.5
=> 383.5 (3) + 2.5 = 1153
=> 1153 (3) + 2.5 = 3461.5
The next 3 numbers are 383.5, 1153, 3461.5</span>
The answers y=-2x+1 because the slope of the line parallel has the same slope plus the y int
Answer:
Combining like terms is actually pretty straightforward, you just have to combine like terms. In the problem 5c+2c, it would equal 7c since c is a common variable in this equation.
In the next question 16p+5+p-3x+6-x, it would equal 17p-4x+11 because 16p+p is 17p, -3x-x is -4x, and 5+6 equals to 11.
In the third question 18p+3-8p-5 would equal to 10p-2 since 18p-8p equals to 10p, and 3-5 equals to -2.
In the last question 9u+11v-22u+12v, it would equal to -13u+23v because 9u-22u equals to -13, and 11v+12v is 23v.
I hope this helped you!
Answer:
80+ 0.3x = 60 + 0.4x
20 = 0.1x
x = 200
Therefore, at 150 miles, the best deal changes companies
Step-by-step explanation:
