A car is traveling at a speed of 65 mph. The car slows down 18 mph because of traffic, and then increases its speed by 13 mph. W
2 answers:
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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:
The table models an exponential relationship, and the equation of the table is
The table of values is given as:
x 0 1 2 3 4
y 4 2 1 1/2 1/4
The above table shows an exponential model
An exponential model is represented as:
When x = 0 and y = 4, we have
Evaluate
a = 4
When x = 1 and y = 2, we have
Evaluate
Substitute 4 for a
4b = 2
Divide both sides by 4
b = 1/2
Substitute 4 for a and 1/2 for b in
Hence, the equation of the table is
Read more about exponential models at:
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