Answer:
Given equation are:
......[1]
.....[2]
- The two lines are parallel lines then their slopes will be equal.
- When two lines are perpendicular then, the slope of lines are the negative reciprocals of each other.
Now, Equation of a line is in the form of y =mx+b where m is the slope of the line.
Slope
of equation of line in [1] is;
then;
Slope
of equation of line in [2];
Add both sides 2x we get;
-2x + 8y + 2x = 2x + 4
Simplify:
8y = 2x +4
Divide both sides by 8 we get;
then;
Therefore, the given two lines are neither parallel nor perpendicular.
The solutions are
- it is going to take 15.9 months to raise 10000 dollars
- You will have $37.31 after you have bought the car
- The money deficit would be $37.31
<h3>How to solve the question</h3>
a. 10000 = 9359.08e(0.05)
e⁰⁰⁵ = 10000/9359.08
= 0.05 = ln(10000/9359.08)
= 1.325 years
convert to months = 15.9 months
Hence it is going to take 15.9 months to raise 10000 dollars
b. 9359.08 x e^(0.05 x1.25)
= 9962.69
10000 - 9962.69
= $37.31
You will have $37.31 after you have bought the car
c. The money loss and the deficit would be same as above $37.31
d. ln(e^a) = a
We can clearly see that the money cannot be raised in the 15 months from $ 9359.08. there is a deficit amount of $37.31
Read more on compound interest here: brainly.com/question/24924853
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Hope that helps.Have a nice day!! ^^
Answer:
Step-by-step explanation:
so formula for the volume of a cylinder is:
(πr^2)*h
so the diameter is given to us which is
2r=10 cm
then r=5 cm
h=6 cm and r=5 cm so we just plug it in
(5^2)*6π
25*6π
150π cm^3 or approximately 471.239 cm^3
