Answer:
A)1050
B)8050
Step-by-step explanation:
to find interest we use the formula A= P(1+rt) where P is the initial investment, r is the rate percent, and t is the time interval
for this question we have A=7000(1+3(5)) which gives 8,050 dollars which is the answer to part B
for part A we simply subtract the answer from B from the initial investment so 8050 - 7000 = 1050 made from interest
Answer:
The correct answer B) The volumes are equal.
Step-by-step explanation:
The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,

which when evaluated gives 4pi/3.
Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,

If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.
Answer:
31.9 mi
Step-by-step explanation:
AC/sin(angleABC) = AB/sin(angleACB)
The answer is 2x15 which is 30ft
Point-slope form is y - y1 = m(x - x1). If you apply that point and the slope to the formula (hence the name point-slope), you'd get y - 10 = -5(x + 8).
Hope this helps! :)
REVISE: I accidently put y instead of x in the -5(x + 8) part. It's fixed now.