Given:
Rate of interest = 8% compounded continuously.
Amount = 100,000
Time = 25 years
To find:
The principal value.
Solution:
Formula for amount after continuous compound interest:
Where, A is amount, P is principal, r is the rate of interest and t is the number of years.
Putting 
in the above formula, we get
On further simplification, we get
Therefore, the amount 13533.528 is invested.
Using linear functions, it is found that the number of electronics that you need to sell for a larger income in option A is x > 200,000.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the <u>base salaries as the intercept and the commissions as the slope</u>, the functions are given by:
To produce a larger income in option A, it is needed that:
A(x) > B(x).
Hence:
10000 + 0.09x > 20000 + 0.04x
0.05x > 10000
x > 10000/0.05
x > 200,000
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
Step-by-step explanation:
49b² - 81 = (7b)² - 9 ²
by identity : 49b² - 81 = (7b - 9)( 7b + 9)
Answer:
-31/30
Step-by-step explanation:
-3/5 - 7/10 + 4/15 = -31/30
Answer:
12.5
30
68.5
Step-by-step explanation:
