Answer: $1387800
Step-by-step explanation:
This is an sum of Arithmetic Progression with the formula
Sum of nth term
Sn = n/2( a + l ) --------------- 1
where l = a + ( n - 1 )d -------2
Now put (2) in 1
Sn = n/2{( a + a + (n - 1)d}
= n/2{( 2a + ( n -1 )d}
From the question
a = $5,4000 ( firs term )
d = 3% of $5,4000 ( common difference ), n = 20 years. Solution to question one therefore is.
First find 3% of $54000 = $1620, so the geometric series is
Sn = n/2{(2a + ( n - 1 )d
Second solution is substitution,
Sn. = 20/2 {(2 x 54000 + (20 -1)1620)}
= 10{ 108000 + 19 x 1620}
= 10{ 108000 + 30780 }
= 10{ 138780 }
= 1387800
Therefore, the total emoluments of Rylee for the past 20 years
= $1387800
2 tickets = $16
1 ticket = $16 ÷ 2 = $8
5 tickets = $40
1 ticket = $40 ÷ 5 = $8
Since both shows that each ticket costs $8, they are equivalent.
Answer:A
Step-by-step explanation:
Answer:
The independent variable is m, while the dependent variable is t.
Step-by-step explanation:
- What is the independent variable?
An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.
- What is the dependent variable?
The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.
- Write an equation representing this relationship:
t = $6 + ($1.50 x m)
- Complete the table to show the total cost for riding 3 to 10 miles:
3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)
4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)
5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)
6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)
7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)
8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)
9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)
10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)