Area of the figure is 42 in²
Step-by-step explanation:
- Step 1: The area of the figure can be found by calculating the sum of the areas of the rectangle and the right angled triangle.
⇒ Area of the rectangle = length × width = 6 × 5 = 30 in²
⇒ Area of the triangle = 1/2 × base × height = 1/2 × 4 × 6 = 12 in²
∴ Area of the figure = 30 + 12 = 42 in²
The amount of interest after 3 years will be $15.
The complete question is given below.
You loaned a friend $100 and will charge him 5% annual simple interest when he pay it back. What is the amount of interest after 3 years?
<h3>What is simple interest?</h3>
Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The interest is given as
I = (P × R × T) / 100
Where, P is the initial amount, R is simple interest rate, and T is the time.
We have
P = $100
R = 5%
T = 3 years
Then the interest will be
I = (100 × 5 × 3) / 100
I = $15
More about the simple interest link is given below.
brainly.com/question/2793278
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Answer: The required condensed expression is 
Step-by-step explanation: We are given to fully condense the following logarithmic expression assuming that all variables represent positive numbers :

We will be using the following properties of logarithms :

Therefore, from expression (i), we get

Thus, the required condensed expression is 
Answer:
decrease of 38% (to nearest percent)
Step-by-step explanation:
Percent change = [ (difference between final and initial value) ÷ initial value] x 100
⇒ percent change = [(2100 - 1300) ÷ 2100] × 100 = 38% (to nearest percent)