Answer: No, the money won't be enough to buy the car
Step-by-step explanation:
you plan on buying yourself a new $20,000 car on graduation day and graduation day is 24 months time. If you invest $300 a month for the next 24 months.
The principal amount, p = 300
He is earning 4% a month, it means that it was compounded once in four months. This also means that it was compounded quarterly. So
n = 4
The rate at which the principal was compounded is 4%. So
r = 4/100 = 0.04
It was compounded for a total of 24 months. This is equivalent to 2 years. So
n = 2
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount that would be compounded at the end of n years.
A = 300(1 + (0.04/4)/4)^4×2
A = 300(1 + 0.01)^8
A = 300(1.01)^8
A = $324.857
The total amount at the end of 24 months is below the cost of the car which is $20000. So he won't have enough money to buy the car
I have to assume that the 24, the 72, and the 18 are feet.
If those are the dimensions of a rectangular prism, like a box, a crate,
or a humongous block of ice, then
Volume = (length) x (width) x (height) =
(24-ft) x (72-ft) x (18-ft) = <em>31,104 cubic ft</em>
If those numbers are <u>inches</u>, then here's the easy way to handle it:
24 inches = 2 ft
72 inches = 6 ft
18 inches = 1.5 ft
Volume = (length) x (width) x (height) =
(2ft) x (6ft) x (1.5ft) = <em>18 cubic feet
</em>
Answer: The first one is "translated 4 units down". The second one is "vertically stretched by a factor of 4".
Recall that y = f(x). When we say f(x)-4, we really mean y-4 so that means each y coordinate of all the points on the graph have been reduced by 4. Visually this shifts the graph down 4 units. A translation in geometry is the technical term for shifting.
When we say 4*f(x), we are multiplying each y coordinate by 4. A point like (1,2) turns into (1,8) for instance. If you apply this to every point on the graph, then the curve is stretched vertically to be 4 times taller than it usually is; which is an informal way of saying "vertically stretched by a factor of 4"
30% of the cars were black.
