Answer:
The answer in simplest term is 35.33333334.
Step-by-step explanation:
First, we need to divide 71 and 6.
71/6 = 23.66666667.
Now we need to divide 35 and 6.
35/6 = 11.66666667.
Now we need to add the two quotients.
23.66666667 + 11.66666667 = 35.33333334.
And that is the final answer.
I hope this helps!
5x+8y = 24
The answer is c) y=3 -5/8 x
Hello <span>Vmcdowell43
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Hope that helps!
-Chris</span>
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.
44
-3x + 2 > 14.
-2 -2 -2
42
-3x > 12
-------------------------------------
-3 -3 -3 (dividing with inequalities by a negative flips the inequality symbol)
-14
x < -4
