Answer:
b = a + 3.75
Step-by-step explanation:
a = 4b - 15
You are solving for b. Isolate the b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 15 to both sides
a (+15) = 4b - 15 (+15)
a + 15 = 4b
Next, divide 4 from both sides. Remember to divide from all terms.
(4a + 15)/4 = (4b)/4
b = (4a)/4 + (15)/4
b = a + 15/4
b = a + 3.75 is your answer
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Answer:
Step-by-step explanation:
The pdf of X is given by 3e^x(1-e^-2y). Please check the screenshot for the workings.
The pdf of Y is given by 6e^-2y. Please check the screenshot for the workings.
The expected time the device fails is the expected time Y fails, so we are going to find the expected time of Y which equals to 0.83.
Please check the screenshop for the workings. Thanks
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.
Answer:
Angle parking is more common than perpendicular parking.
Angle parking spots have half the blind spot as compared to perpendicular parking spaces
Step-by-step explanation:
Considering the available options, the true statement about angle parking is that" Angle parking is more common than perpendicular parking." Angle parking is mostly constructed and used for public parking. It is mostly used where the parking lots are quite busy such as motels or public garages.
Therefore, in this case, the answer is that "Angle parking is more common than perpendicular parking."
Also, "Angle parking spots have half the blind spot as compared to perpendicular parking spaces."
