1. area - a
2. height - b
3. length - b
4. volume - c
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:
Rotation, Reflection, dilation, and translation
Step-by-step explanation:
Rotation: Just rotating the shape; spinning the shape around a point
Reflection: Your shape is either reflecting on the x axis or y axis meaning it is either side by side (y) or up and down (x)
Dilation: Your shape is either going to shrink or get bigger
Translation: Shifting all the points of the figure
Answer:
x= -1/3 and -2
I have made it in above picture