Answer:
He invested $1200 and had a balance of $1260 after 3 years.
Answer:
0.3431
Step-by-step explanation:
Here, it can work well to consider the seeds from the group of 18 that are NOT selected to be part of the group of 15 that are planted.
There are 18C3 = 816 ways to choose 3 seeds from 18 NOT to plant.
We are interested in the number of ways exactly one of the 10 parsley seeds can be chosen NOT to plant. For each of the 10C1 = 10 ways we can ignore exactly 1 parsley seed, there are also 8C2 = 28 ways to ignore two non-parsley seeds from the 8 that are non-parsley seeds.
That is, there are 10×28 = 280 ways to choose to ignore 1 parsley seed and 2 non-parsley seeds.
So, the probability of interest is 280/816 ≈ 0.3431.
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The notation nCk is used to represent the expression n!/(k!(n-k)!), the number of ways k objects can be chosen from a group of n. It can be pronounced "n choose k".
We need to use the formula for simple interest which is
I= prt
Where I is the amount of money you earned or pay in interest
p is the principal, the amount you deposited or borrowed
r is the interest rate expressed as a decimal
t is time in terms of years
In this problem, I= 1,680
p= 3000
t= 8
'. r is what we are looking for.
Substituting the numbers into the simple interest formula, we get
I=. p r t
1,680=(3000)(r)(8). Multiplying
1,680= 24,000r Divide both sides by 24,000
0.07= r
So, the percentage is (0.07)(100)= 7%...
Answer:
Step-by-step explanation:
so first find the common denominator which is 162
so on 4/9 multiply 18 to denominater and numerator which makes it 72/162
next multiply 9 to numerator and denominator in 13/18 which makes it 117/162
so now add:
so now simplification.
189/162 can be reduced by 3
63/54 is our new answer. now we can reduce it by 9
7/6 is our new answer. now we must change it to a mixed number which is
hope this helped!
