A bag contains 7 red marbles, 5 yellow marbles, 6 blue marbles, 4 green marbles, and 3 orange marbles. What is the probability o
1 answer:
You might be interested in
Answer:
The airplane flies 95 miles.
Step-by-step explanation:
- First we need to find the distance for the first segment using the formula for distance
. Let's say
is (0, 0) and
is (33, 56). This gets us that the length of this segment is 65 miles.
- Next, we need to find the distance for the second segment. Using the same formula for distance
- To get the total distance traveled, add the length of these two segments together (65 miles + 26 miles) to get 91 total miles traveled.
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: