Answer:
c.) aₙ = 5 × 4ⁿ⁻¹
Explanation:
Geometric sequence: aₙ = a(r)ⁿ⁻¹
where 'a' resembles first term of a sequence, 'r' is the common difference.
Here sequence: 5, 20, 80, 320,...
First term (a) = 5
Common difference (d) = second term ÷ first term = 20 ÷ 5 = 4
Hence putting into equation: aₙ = 5(4)ⁿ⁻¹
Answer:
£0.465. It is a better value.
Step-by-step explanation:
If a pack of 6 batteries costs £2.79, price of a battery can be calculated as shown;
6batteries = £2.79
1 battery = x
x = cost of a battery
6x = £2.79
x = £2.79/6
x = £0.465
Price per battery will be £0.465. This price is a better value since the price is lesser than the cost of the 6batteries (£2.79) in a pack.
Answer:
66-18=28+20
Step-by-step explanation:
Answer:
Step-by-step explanation:
let x represent the number of MB used in a month.
Let y represent the monthly cost of using x MB.
If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be
Slope, m = (36 - 24)/(7 - 3)
m = 12/4 = $3
We would represent the linear equation in the slope - intercept form which is expressed as
y = mx + c
Where
c = y intercept
m = slope
At the y intercept, x = 0. Therefore, the y intercept is the flat monthly fee of $15. It is charged whether MB is used or not. Therefore, the linear equation is
y = 3x + 15
Or
C(x) = 3x + 15
Answer:
Let the amount of Danny be y
Therefore, lance will have 1/3y
Total fraction of cup is 1/1
y+y/3=1
4y/3=1
4y=3
y=3/4
therefore, lance had 3/4 of the cup of water
