Which of the following ordered pairs would lie on the same line of direct variation as (16,4)? Select all correct answers.
2 answers:
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Answer:
$5225
Step-by-step explanation:
Use the formula for the amount after simple interest:
"A" is the final amount, or balance.
"P" is the principal, or the starting amount.
"r" is the rate of interest in decimal form.
"t" is the time.
What we know:
P = 5000
t = 3
r = 1.5%
Convert the rate to decimal form by dividing by 100, or moving the decimal place two places to the left.
1.5% => 0.015 = r
Substitute what we know into the formula:
A = P(1 + rt)
A = 5000(1 + (0.015)(3)) <=simplify
A = 5000(1 + 0.045)
A = 5000(1.045)
A = 5225 <= new balance
The new balance of an account is $5225.
Answer:
The recursive formula is
Step-by-step explanation:
Given : 94, 87, 80, 73, …..
To find : Represent the arithmetic series using the recursive formula ?
Solution :
The arithmetic series is 94, 87, 80, 73, ….. with first term a=94 and common difference is d=-7
The recursive formula of the sequence 94, 87, 80, 73, …..
a(1)=94 is the first term
a(n)=a(n−1)+(-7) add -7 to the previous term
In the formula, n is any term number and a(n) is the term.
i.e. a(1) is the first term and a(n-1) is the term before term.
Therefore, the recursive formula is