if i were to randomly generate a 4-digit number, how likely is it that my number will include at least 1 seven?
1 answer:
Probability that number will include at least 1 seven is .
<u>Step-by-step explanation:</u>
Here we have , if i were to randomly generate a 4-digit number, We need to find how likely is it that my number will include at least 1 seven . Let's find out:
Out of 10 digits ( 0,1,2,3,4,5,6,7,8,9) , We are supposed to find probability to generate a 4 digit number with at least one times 7 . We can find this as Probability for at least one 7 = 1 - Probability for no 7
Total number of combinations =
Total number of combinations without 7 =
Probability of Number without 7 =
⇒ Probability of Number without 7 =
⇒ Probability of Number without 7 =
∴ Probability for at least one 7 = 1 - Probability for no 7
⇒
⇒
Therefore ,Probability that number will include at least 1 seven is .
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Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.
Step-by-step explanation:
The given is,
Investment = $ 8000
No. of years = 15 years
Interest rate, i = 3.1 %
( compounded monthly )
Step:1
For for calculating future value with compound interest monthly,
.................(1)
Where,
A = Future amount
P = Initial investment
r = Rate of interest
n = Number of compounding in a year
t = Time period
Step:2
From given values,
P = $8000
r = 3.1%
t = 15 years
n = 12 ( for monthly)
Equation (1) becomes,
A = $ 12728.48
Result:
Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.