Answer:
interest - $55,000
Step-by-step explanation:
$100,000 principal
11% interest rate (need to use 0.11)
? interest
5 years time
i = prt
= 100,000(.11)(5)
interest earned is $55,000
total money in account is $155,000
Answer:
Vertical angles
Step-by-step explanation:
The diagram shows two straight line intersecting to form vertical angles. One of such pair of vertical angles formed is <1 and <2.
Vertical angles are congruent to each other. Therefore, the reason why <1 ≅ <2 is because they are vertical angles or vertical angles pair.
Answer: 
Step-by-step explanation:
Given
The area of the rectangular piece of wood is 
The area of each circle is 
Area of the remaining piece of wood

Answer:
Equation: f(x)=x²-4x+3
Stretch factor: a=1
Step-by-step explanation:
Notice the x-intercepts are (1,0) and (3,0) which can help us determine the equation by setting their expressions equal to 0 and expanding:
(x-1)(x-3)=0
x²-4x+3=0
Therefore, the equation is f(x)=x²-4x+3 where the stretch factor is a=1
Answer:
The given such number is 6.
Step-by-step explanation:
Let the given such number = m
Now, according to the question, the given expression is:

By the LAW OF EXPONENTS:

⇒Here 
or, the given expression becomes ![m^3 = 216\\\implies m = \sqrt[3]{216} = 6](https://tex.z-dn.net/?f=m%5E3%20%3D%20%20216%5C%5C%5Cimplies%20m%20%3D%20%5Csqrt%5B3%5D%7B216%7D%20%20%3D%206)
or, m = 6
Hence, the given such number is 6.