Answer:
Quarterly interest rate= 0.8974%
Step-by-step explanation:
Giving the following formula:
Initial investment (PV)= $3,500
Future Value (FV)= $6,200
Number of periods (n)= 16*4= 64 quarters
<u>It is almost impossible to calculate the interest rate using a formula. To determine the interest rate, we need to use a financial calculator:</u>
Function: CMPD
n= 64
I%= SOLVE= 0.8974
PV= 3,500
FV= -6,200
Quarterly interest rate= 0.8974%
Answer: 5/8 : 5=5/8*1/5=1/8
the answer is 1/8
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Answer:
Okay so on the first one it would be congruent because they have congruent sides or angles. (Hint: Look at the tick marks on both triangles and see if they match up, if they do then they are congruent.) I hope this helps you have a great day! <3
Step-by-step explanation:
Answer:
Option B. ![212.1\ cm^{2}](https://tex.z-dn.net/?f=212.1%5C%20cm%5E%7B2%7D)
Step-by-step explanation:
step 1
Find the central angle of the shaded sector
Remember that the diameter divide the circle into two equal parts ( 180 degrees each part)
so
Let
x -----> the measure of the central angle of the shaded sector
∠x+72°=180°
∠x=180°-72°=108°
step 2
Find the area of the circle
The area of the circle is
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
we have
![r=15\ cm](https://tex.z-dn.net/?f=r%3D15%5C%20cm)
assume
![\pi=3.1416](https://tex.z-dn.net/?f=%5Cpi%3D3.1416)
substitute
![A=(3.1416)(15)^{2}](https://tex.z-dn.net/?f=A%3D%283.1416%29%2815%29%5E%7B2%7D)
![A=706.86\ cm^{2}](https://tex.z-dn.net/?f=A%3D706.86%5C%20cm%5E%7B2%7D)
step 3
Find the area of the shaded sector
Remember that the area of the complete circle subtends a central angle of 360 degrees
so
by proportion find the area of a sector by a central angle of 108 degrees
![\frac{706.86}{360}=\frac{x}{108}\\ \\x=706.86*108/360\\ \\x=212.1\ cm^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B706.86%7D%7B360%7D%3D%5Cfrac%7Bx%7D%7B108%7D%5C%5C%20%5C%5Cx%3D706.86%2A108%2F360%5C%5C%20%5C%5Cx%3D212.1%5C%20cm%5E%7B2%7D)