Answer:
Sierra studied 3 hours
William studied 2 hours
Step-by-step explanation:
jonah studied 6 hours.
He also studied 3 hours longer than sierra meanining sierra studied 3 hours less than 6 hours.
So, 6 hours minus 3 hours is equals to 3 hours.
With that being said, Sierra has studied 3 hours.
Sierra = 3 hours
The question then states that Jonah studied 3 times as many hours as William.
Reminder: Jonah studied 6 hours in total.
This means that jonahs' hours (6 hours) is equals to 3 times williams hours (3x)
6 hours= 3x
x= williams hours
we divide both sides by 3 to see what x is equals to
in other words, we divide Jonahs' hours to see what williams hours are
With that being said, William studied for 2 hours
2 hours = x
Given:
Future Value = $75,210
term = 8 years
rate = 8.5%
Initial loan = ?
In this case, we need to find the present value of the loan. Compounded means that even the interest has an interest.
PV = FV / (1 + i)^n
PV = 75,210 / (1 + 0.085)⁸
PV = 75,210 / (1.085)⁸
PV = 75,210 / 1.9206
PV = 39,159.64
Initial loan is $39,159.64
total interest is $75,210 - 39,159.64 = $36,050.36
Answer:
360
Step-by-step explanation:
You will need 2 * 2 * 2 for the smallest number to be divisible by 8 with all the others.
You will need 3 * 3 for the smallest number to be divisible by 9 with all the others.
Finally you will need 1 five
The smallest number divisible by all of these is 2*2*2*3*3*5 = 360
- 360/2 = 180 works
- 360/3 = 120 works
- 360/5 = 72 works
- 360/6 = 60 works
- 360/8 = 45 works
- 360/9 = 40 works.
There is no smaller number below 360 which will work.
since the triangles are similar
angle DEC = 60 degrees
3 angles inside a triangle equal 180 degrees
BAC = DCE = 64
CBA = EDC = 56
DEC = 180 -56 -64 = 60 degrees
used angle-angle theorem
