The general formula of simple interest formula is: I = PRT where I = simple interest, P = principal amount, R = interest rate, T = time (in years). Given that the initial investment is $70, the interest rate is 3% (or 0.03 as a decimal) and the time is 12 years, you can form the following:

I = (70) x (0.03) x (12)

8 0

3 years ago

You give tours on the Great Lakes and talk about points of interest. A lighthouse typically has 2 beacons that rotate together—b

tatiyna

Since the beacons rotate together, the angular speed is constant.

From the time you see the first beacon, you have to wait for the lighthouse to make 120°, i.e. 1/3 of a whole turn.

So, if T is the time it takes for the lighthouse to make a whole turn, the interval between the first and the second beacon is T/3.

The interval between the second and third beacon is the amount of time it takes to the lighthouse to make the remaining 2/3 of a turn, so that you'll see the first beacon again. So, this time is 2T/3

So, the ratio is

$\dfrac{2T}{3}\div\dfrac{T}{3}=\dfrac{2T}{3}\cdot\dfrac{3}{T}=2$

So, the time between the second and third beacon is twice as much the time between the first two.

5 0

2 years ago

how many 5 card poker hands consisting of 2 aces and 3 kings are possible with an ordinary 52 card deck

Mashcka [7]

2 aces can be selected from 4 aces by 4C2 = 4!/2!(4 - 2)! =4!/ (2! x 2!) = (4 x 3 x 2 x 1)/(2 x 1 x 2 x 1) = 6 ways
3 kings can be selected from 4 kings by 4C3 = 4!/3!(4 - 3)! =4!/ (3! x 1!) = (4 x 3 x 2 x 1)/(3 x 2 x 1 x 1) = 4 ways

Therefore, the number of <span>5 card poker hands consisting of 2 aces and 3 kings possible with an ordinary 52 card deck is 6 x 4 = 24</span>

5 0

2 years ago