3\4 ! you simply convert 7.5% into a fraction. (move the decimal point to the right two times. This should give you 75. Remember to put 75 over 100.
EX: 75/100
Next you must find the greatest common fact of both numbers. In this case the number is 25.
25 goes into 75 3 times. So that is your numerator or the number on top.
25 goes into 100 4 times. This will be your denominator or the number on the bottom.
Your answer should be 3/4! Make sure to show your work! good luck!
Current amount in account
P=36948.61
Future value of this amount after n years at i=11% annual interest
F1=P(1+i)^n
=36948.61(1.11)^n
Future value of $3000 annual deposits after n years at i=11%
F2=A((1+i)^n-1)/i
=3000(1.11^n-1)/0.11
We'd like to have F1+F2=280000, so forming following equation:
F1+F2=280000
=>
36948.61(1.11)^n+3000(1.11^n-1)/0.11=280000
We can solve this by trial and error.
The rule of 72 tells us that money at 11% deposited will double in 72/11=6.5 years, approximately.
The initial amount of 36948.61 will become 4 times as much in 13 years, equal to approximately 147800 by then.
Meanwhile the 3000 a year for 13 years has a total of 39000. It will only grow about half as fast, namely doubling in about 13 years, or worth 78000.
Future value at 13 years = 147800+78000=225800.
That will take approximately 2 more years, or 225800*1.11^2=278000.
So our first guess is 15 years, and calculate the target amount
=36948.61(1.11)^15+3000(1.11^15-1)/0.11
=280000.01, right on.
So it takes 15.00 years to reach the goal of 280000 years.
Replace x in the equation for f(x) with -5:
|2x +9| = |2(-5) +9| = |-10 +9| = |-1| = 1
Now find x 1 and see where the graph of G(x) crosses the Y :
It crosses ay Y = 5
The answer is A. 5
Answer:
3/7 is the smallest
Step-by-step explanation:
after we take the LCM of both the denominators and then compare their resulted numerator and denominator we get that 3/7 is the smallest
Y=-10 and the second one is 13 I think
