I'm assuming the funds earn 5% yearly?
Call x the amount he saves every year. The first year's deposit will be multiplied by 1.05 three times, the next will be multiplied by 1.05 twice, the third will be multiplied by 1.05 once, and the fourth will not generate interest (as it will immediately be used to buy the car).
Therefore, x(1.05^3+1.05^2+1.05+1)=21000, so 4.31x=21000. Dividing by 4.31, we see that x is approximately equal to 4872.
Answer:
15.62 units.
Step-by-step explanation:
To commence with, find for the vector.
Points = (7,-5) and (2,-5)
7 + 2
-5 + -5
12
-10
Vector = 12
-10
Magnitude = y² + x²
Points = (12,-10)
-10² + 12²
100 + 144
244
Square root of 244 is 15.62
Therefore, the distance between the points is 15.62 units.
Hope it helps.
Answer:
The probability that a part is good given that it passed the inspection machine is P=0.978.
Step-by-step explanation:
As the inspection machine detect and discard any part that is completely defective, only the good and partially defective parts passed this inspection.
Then, if we have:
Probability of being a good part P(G)=0.90
Probability of being a patially defective part P(P)=0.02
Probability of being a completely defective part P(D)=0.08.
Probability of passing the inspection machine = 1-P(D)=1-0.08=0.92
Then, the probability of having a good part, given that it passed the inspection machine is:

Answer:
$1003.84615
Step-by-step explanation:
130.5 = x * 0.13
130.5/0.13 = x
x = 1003.84615