From the definition of conditional probability:
By the law of total probability,
Since
we end up with
So to start off with this problem, let us call the amount invested in Plan A and B as a and b respectively.
So equation 1: a + b = 250,000
Next, we need to get an equation which is equal to 10,000. So the interest rate in plan a + interest rate in plan b would be equal to 10,000. Rewriting this sentence will give us:
Equation 2: .028a + 0.078b = 10,000
Rewrite the first equation into a = 250,000 - b, and then plug the value into equation 2.
.028(250,000 - b) + 0.078b = 10,000
7,000 - 0.028b + 0.078b = 10,000
-0.028b + 0.078b = 10,000 - 7,000
0.05b = 3,000
b = $60000 amount invested at 2.8% while
250,000 - 60,000 = $190,000 is the amount invested at 7.8%
Answer:
are are 5 chocolate in each bag
Step-by-step explanation:
I am pretty sure that it is the same thing just all the numbers are negative, i really hope that is right
Answer:
1885 flowers
Step-by-step explanation:
Given that:
Radius, r of circle = 100 feets
The Circumference of the circke is thus ; 2πr
C = 2 * π * 100
C = 628.31853 feets
Converting feets to inches
1 foot = 12 inches
628.31853 feets = 628.31853 * 12 = 7539.8223 inches
If flowers are spaced at 4 inches :
Number of flowers that can be planted :
Circumference of circle / spacing
7539.8223 / 4
= 1884.9555 flowers
= 1885 flowers