9514 1404 393
Answer:
38
Step-by-step explanation:
The recursion relation describes an arithmetic sequence with a first term of 2 and a common difference of 4. The explicit formula for the n-th term of the sequence is ...
f(n) = f(1) +d(n -1) . . . . . for first term f(1) and difference d
f(n) = 2 +4(n -1) = 4n -2
Then the 10th term is ...
f(10) = 4(10) -2
f(10) = 38
Answer:
a. $0.07
Step-by-step explanation:
Profit = Charge -Cost
We want to make a profit of 25 and the cost is 10
25 = Charge -10
Add 10 to each side
25+10 = Charge -10+10
35 = Charge
We need to charge 35 per jar.
Each jar contains 500 marbles
The cost per marble is Cost/ number of marbles
cost per marbles = $35 / 500
= $.07
Answer:
$2000 was invested at 5% and $5000 was invested at 8%.
Step-by-step explanation:
Assuming the interest is simple interest.
<u>Simple Interest Formula</u>
I = Prt
where:
- I = interest earned.
- P = principal invested.
- r = interest rate (in decimal form).
- t = time (in years).
Given:
- Total P = $7000
- P₁ = principal invested at 5%
- P₂ = principal invested at 8%
- Total interest = $500
- r₁ = 5% = 0.05
- r₂ = 8% = 0.08
- t = 1 year
Create two equations from the given information:


Rewrite Equation 1 to make P₁ the subject:

Substitute this into Equation 2 and solve for P₂:





Substitute the found value of P₂ into Equation 1 and solve for P₁:



$2000 was invested at 5% and $5000 was invested at 8%.
Learn more about simple interest here:
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Answer:
Subtract 6 from both sides of this equation.
Step-by-step explanation: