The amount of bill is $43.15
Step-by-step explanation:
Given,
Current meter reading = 25,789 kWh
Reading on last bill = 25,350 kWh
Reading for the month = Current meter reading - Last month bill reading
Reading for the month = 25789 - 25350 = 439kWh
Cost per kWh = $0.0983
Cost of 439 kWh = 0.0983*439 = $43.1537
Rounding off to nearest hundredth
Cost of 439 kWh = $43.15
The amount of bill is $43.15
Keywords: subtraction, multiplication
Learn more about subtraction at:
#LearnwithBrainly
Y intercept is (0,1)
horizontal asymptote
Answer:
Step-by-step explanation:
Each successive year, he
earned a 5% raise. It means that the salary is increasing in geometric progression. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence(amount earned in the first year).
r represents the common ratio.
n represents the number of terms(years).
From the information given,
a = $32,000
r = 1 + 5/100 = 1.05
n = 20 years
The amount earned in his 20th year, T20 is
T20 = 32000 × 1.05^(20 - 1)
T20 = 32000 × 1.05^(19)
T20 = $80862.4
To determine the his total
earnings over the 20-year period, we would apply the formula for determining the sum of n terms, Sn of a geometric sequence which is expressed as
Sn = (ar^n - 1)/(r - 1)
Therefore, the sum of the first 20 terms, S20 is
S20 = (32000 × 1.05^(20) - 1)/1.05 - 1
S20 = (32000 × 1.653)/0.05
S20 = $1057920
This is something you would do through trial and error. At least, that's the approach I took. I'm not sure if there is any algorithm to solve. The solution I got is shown in the attached image below. There are probably other solutions possible. The trick is to keep each number separate but not too far away so that the other numbers to be filled in later don't get too crowded to their neighbor.
Side note: any mirror copy of what I posted would work as well since you can flip the page around and it's effectively the same solution.