Answer:
f(n) = 6n + 12
Step-by-step explanation:
There is a common difference in consecutive number of seats, that is
42 - 36 = 36 - 30 = 30 - 24 = 24 - 18 = 6
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 18 and d = 6 , then
f(n) = 18 + 6(n - 1) = 18 + 6n - 6 = 6n + 12
Answer:
x = 2
Step-by-step explanation:
Let's solve your equation step-by-step.
2.5(6x−4)=10+4(1.5+0.5x)
Step 1: Simplify both sides of the equation.
2.5(6x−4)=10+4(1.5+0.5x)
(2.5)(6x)+(2.5)(−4)=10+(4)(1.5)+(4)(0.5x)(Distribute)
15x+−10=10+6+2x
15x−10=(2x)+(10+6)(Combine Like Terms)
15x−10=2x+16
15x−10=2x+16
Step 2: Subtract 2x from both sides.
15x−10−2x=2x+16−2x
13x−10=16
Step 3: Add 10 to both sides.
13x−10+10=16+10
13x=26
Step 4: Divide both sides by 13.
x=2
A)Plugging in our initial statement values of y = 16 when x = 10, we get:
16 = 10k
Divide each side by 10 to solve for k:
16/10=
k = 1.6
Solve the second part of the variation equation:
Because we have found our relationship constant k = 1.6, we form our new variation equation:
y = 1.6x
Since we were given that x, we have
y = 1.6()
y = 0
B)Plugging in our initial statement values of y = 1 when x = 15, we get:
1 = 15k
Divide each side by 15 to solve for k:
1/15
=15k
k = 0.066666666666667
a) Sammie earns
£320×4% = £12.80
each year.
Joel earns
£420×3% = £12.60
each year.
Sammie earns the most interest.
b) Joel's interest after 5 years is
£12.60×5 = £63
so the total amount of money Joel will have is
£420 +63 = £483
Answer: c is perpendicular to y = -5x - 2
Explanation: The slope of a perpendicular line is an opposite reciprocal of the original slope/line. (Basically switch the numerator and denominator and the sign. In this case, the slope is -5/1x. It’s opposite reciprocal is 1/5x.)
You can take a look at my notes for further clarification. Hope this helps!
