I’m pretty sure the answer is C
Answer:
23 units
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 16, - 17) and (x₂, y₂ ) = (7, - 17)
d = 
= 
= 
= 23
Let say radius is r
<span>its height is h </span>
<span>its lateral area = y </span>
<span>y = 2 pi r h </span>
<span>since the cylinder is inscribed in the sphere </span>
<span>So (2r )^2 + h^2 = 64 </span>
<span>then 4 (r^2) = 64 - h^2 </span>
<span>since y^2 = 4 (pi)^2 r^2 h^2 </span>
<span>then y^2 = (pi)^2 *h^2 * (64 -h^2) </span>
<span>y^2 = 64 (pi)^2 * h^2 - (pi)^2 * h^4 </span>
<span>2 y y' = 128 (pi)^2 * h - 4 (pi)^2 * h^3 </span>
<span>putting y' = 0 </span>
<span>4 (pi)^2 h ( 32 - h^2)=0 </span>
<span>ether h = 0 testing this value (changing of the sign of y' before and after ) y is minimum </span>
<span>or h = 4 sqrt(2) </span>
<span>testing this value (changing of the sign of y' before and after ) y is maximum </span>
<span>So the maximum value of y^2 = (pi)^2 *32 *( 64 - 32) </span>
<span>y^2 = (pi)^2 * (32)^2 </span>
<span>y = 32 (pi) square feet
hope this helps</span>
APR = Annual Percentage Rate; APY = Annual Percentage Yield.
This is a tough question!!
To get the APY we use the compounding formula (A = P(1+r/n)^nt) and put $1 in
for the principal and see what our final amount is at 19.07% after a year.
A = 1(1+.1907/12)^12
A= 1.0159^12
A= 1.2083 This means
that we paid 0.2083 on our dollar after a year which means the APY is 20.83%.
7,248,193,675 rounded to the nearest thousand is 7,248,194,000
