Answer:

Step-by-step explanation:


Answer:
Connor would have $83.37 more than Henry.
Step-by-step explanation:
Connor:
Initial investment= $8,000
Interest rate= 8.2% = 0.082/12= 0.00683
Number of periods= 12*5= 60 months
Henry:
Initial investment= $8,000
Interest rate= 8% = 0.08/365= 0.00022
Number of periods= 365*5= 1,825 days
<u>To calculate the future value, we need to use the following formula on each investment:</u>
FV= PV*(1+i)^n
Connor:
FV= 8,000*(1.00683^60)
FV= $12,035.35
Henry:
FV= 8,000*(1.00022^1,825)
FV= $11,951.98
Difference= 12,035.35 - 11,951.98= $83.37
Connor would have $83.37 more than Henry.
The answer you’re looking for is x=145.
Every circle adds up to 360 degrees. The only measurement that we know is 70, but the congruent markings tell us that the unknown “sides” are the same. Therefore, you’d take 360-70=290. There are 290 degrees around the unknown part of the circle, which we then divide by 2 to get 145 degrees total. I hope this helped, let me know if I can explain anymore:)
Answer:
29.42 units
Step-by-step explanation:
<u>1) Find the perimeter around the semi-circle</u>
To do this, we find the circumference of the circle using the given diameter:
where d is the diameter
Plug in 6 as the diameter

Divide the circumference by 2

Therefore, the perimeter around the semi-circle is 3π units.
<u>2) Find the perimeter around the rest of the shape</u>
Although it's impossible to determine the lengths of the varied sides on the right side of the shape, we know that all of those <em>vertical</em> sides facing the right add up to 6. We also know that all of those <em>horizontal </em>sides facing up add up to 7. Please refer to the attached images.
Therefore, we add the following:
7+6+7
= 20
Therefore, the perimeter around that area of the shape is 20 units.
<u>3) Add the perimeter around the semi-circle and the perimeter around the rest of the shape</u>

Therefore, the perimeter of the shape is approximately 29.42 units.
I hope this helps!