Which rational number equals 0.1 repeating?
2 answers:
Answer:
0.1111.... = .
Step-by-step explanation:
Given : 0.1 repeating
To find : Which rational number equals 0.1111......
Solution : We have given 0. 11111.........
We can see there is only one number is repeating , we will multiply it by 10
Let x = 0.1111.......
Multiply both sides by 10
10x = 10 * 0.1111.......
10x = 1.1111.......
We can write it in terms of x
10x = 1. 000 + 0.11111....
10 x = 1 + x
On subtracting both sides by x
10 x -x = 1
9 x = 1
On dividing both sides by 9
x = .
0.1111.... = .
Therefore, 0.1111.... = .
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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.