Step-by-step explanation:
8y+17°=6x+7° (vertical opposite angle)
6x+7=3x-29. (interior angle on same side)
3x=-36
x=-12°
B=C
-72+7=-36-29
-65=-65
Answer:
less than
Step-by-step explanation:
Well pi divided by 2 is 1.57 and you need to figure out if 7.2 is greater than or less than pi^2 aka 1.57 so theres your ansewr
Answer:
T(t) = 5(3)(t)
Step-by-step explanation:
There are 5 cells initially.
And it triple every hour.
So
T0 =5
T(t) = T0(3t)
Each cell has it's multipling factor because it's Will be multipling by 3 every hour
T(t) = 5(3)(t)
The rise/run of AC and CE in the similar triangles are the same, the true statement is: B. slope of AC = slope of CE.
<h3>What is the Slope of the Sides of Similar Triangles?</h3>
On a coordinate plane, the corresponding sides of two triangles are always the same because the ratio of the rise over run is always the same.
Triangles ABC and CDE are similar triangles, therefore the rise over run of AC and CE, which is the slope, will be the same.
Thus, slope of AC = slope of CE.
Learn more about slope on:
brainly.com/question/3493733
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.
