The <em><u>correct answer</u></em> is:
$54.75.
Explanation:
We only receive the discount if the majority of our usage occurs between 7 pm to 9 am. However, in the month of March we used 450 KWH between these hours and 465 KWH between 9 am to 7 pm; this means we lose our discount.
The rate per KWH is $0.05432; this means we pay
450(0.05432) = 24.444 for the hours of 7 pm to 9 am.
We also pay $0.05432/kwh for the hours of 9 am to 7 pm, but we have an additional 20% premium for the usage between these hours; this means we pay
465(0.05432)(1.2) = 30.31056, for a total of
24.444+30.31056 = 54.75456 ≈ 54.75
Complete the recursive formula of the arithmetic sequence -15, -11, -7, -3,...−15,−11,−7,−3,...minus, 15, comma, minus, 11, comm
o-na [289]
Answer:
c(1) = -15
c(n) = c(n - 1) + 4
Step-by-step explanation:
Given arithmetic sequence is,
-15, -11, -7, -3...........
Common difference between each successive and previous term is,
d = -11 - (-15)
= -11 + 15
= 4
Since recursive formula of the arithmetic sequence is represented by,
a₁ = First term of the sequence
a(n) = a(n - 1) + d
where a(n) is the nth term and a(n-1) is the previous term of the nth term.
Form the given sequence,
c₁ = -15
c(n) = c(n - 1) + 4
Explication étape par étape:
Compte tenu des expressions ';
A = 4 (x + 5) -8
B = x² + 15
Nous devons vérifier si A = B pour les deux valeurs de x à x = 1 et x = 3
à quand x = 1
A = 4 (1 + 5) -8
A = 4 (6) - 8
A = 24-8
A = 16
B = x² + 15
B = 1² + 15
B = 1 + 15
B = 16
Donc à quand x = 1, A = B = 16
quand x = 3
A = 4 (x + 5) -8
A = 4 (3 + 5) -8
A = 4 (8) - 8
A = 32-8
A = 24
B = 3² + 15
B = 9 + 15
B = 24
Également lorsque x = 3, A = B = 24
Cela montre que le postulat d'Emmas est juste.
Answer: He will pay $630 over the course of the loan.
Step-by-step explanation:
Formula for simple interest :
S.I. = PRT, where P=principal amount , R =rate of interest ( in decimal), T=time (in years)
As per given ,
P = $1,400 , t = 5 years , r = 9% = 0.09
Simple interest = (1400) x (0.09) x (5)
⇒ Simple interest = $ 630
Hence, he will pay $630 over the course of the loan.
Yes it is a rational number