Answer:
A=8.4063
Step-by-step explanation:
Be the functions:

according the graph:
=3[(ln7-ln1)-(\frac{1}{7}-1)]=3[(1.945-0)-(0.1428-1)]=3*(1.945+0.8571)=3*2.8021=8.4063u^{2}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E1_7%20%7B%5Cfrac%7B3%7D%7Bx%7D%20%7D%20%5C%2C%20dx%20-%5Cint%5Climits%5E1_7%20%7B%5Cfrac%7B3%7D%7Bx%5E%7B2%7D%20%7D%20%7D%20%5C%2C%20dx%20%3D3%5Cint%5Climits%5E1_7%20%7B%5Cfrac%7B1%7D%7Bx%7D%20%7D%20%5C%2C%20dx%20-3%5Cint%5Climits%5E1_7%20%7B%5Cfrac%7B1%7D%7Bx%5E%7B2%7D%20%7D%20%7D%20%5C%2C%20dx%3D3%28%5Cint%5Climits%5E1_7%20%7B%5Cfrac%7B1%7D%7Bx%7D%20%7D%20%5C%2C%20dx%20-%5Cint%5Climits%5E1_7%20%7B%5Cfrac%7B1%7D%7Bx%5E%7B2%7D%20%7D%20%7D%20%5C%2C%20dx%29%3D3%5Blnx-%5Cfrac%7B1%7D%7Bx%7D%5D%281-7%29%3D3%5B%28ln7-ln1%29-%28%5Cfrac%7B1%7D%7B7%7D-1%29%5D%3D3%5B%281.945-0%29-%280.1428-1%29%5D%3D3%2A%281.945%2B0.8571%29%3D3%2A2.8021%3D8.4063u%5E%7B2%7D)
<u>Answer:</u>
The present value of 10,000 if interest is paid at a rate of 6.2% compounded weekly for 8 years is 6097.56
<u>Explanation:</u>
We know that compound interest is given by

Where ,
Where A = final amount (which is given to be = 10000)
P = Principal amount (which is the present amount which we have to find)
r = interest rate = 6.2 = 0.062
n = no. of times interest applied per time period = it is given that the interest is applied weekly, so in one year there are 52 weeks so n = 52
t = time period = 8 years
Substituting the given values, we get

P = 6097.5
We get, P = 6097.56 which is the present value of a sum of money
Area of a circle is πr^2.
The radius of the smaller circle with diameter 10 cm is 5 cm.
The radius of the larger circle with diameter 20 cm.is 10 cm.
Area of larger circle : Area of smaller circle
Area of larger circle = 100π.
Area of smaller circle = 25π.
Ratio = 100π : 25π or 100π/25π.
Answer:
D. This is a right triangle because 36^2 + 15^2 = 39^2
1521 = 1521
Answer:
-1/6
Step-by-step explanation:
-1.5-(-0.5)
over
3-(-3)
slope= -1/6