Answer:
7.87 years
Step-by-step explanation:
#First we determine the effective annual rate based on the 9% compounded semi annual;

#We then use this effective rate in the compound interest formula to solve for n. Given that the principal doubles after 2 yrs:

Hence, it takes 7.87 years for the principal amount to double.
Answer:
[6.5,-7.25]
Step-by-step explanation:
Given the partitioning ratio as 3:1
#Find the length of the x-coordinate and multiply by the ratio:
x length=9--1=10
=>
#We subtract 2.5 from the x-max to get the point=9-2.5=6.5
#Find the length of the y-coordinate and multiply by the ratio:
x length=-9--2=-7
=>
#We subtract -1.75 from the y-max to get the point=-9--1.75=-7.25
Hence, the coordinates that partitions the segment into a ratio of 3 to 1 is [6.5,-7.25]
3x4=5x-10
12=5x-10
22=5x
x=4.4
Answer:
8
Step-by-step explanation:
diameter is the radius times 2
Answer:6/8
Step-by-step explanation: