The expression y = 4.998 · is the exponential function that passes through the points (- 1, 5 / 3) and (3, 135).
<h3>How to derive an exponential function that passes through two given points</h3>
Herein we find the location of two points set on Cartesian plane that belongs to an exponential function of the form:
Where:
- A - y-Intercept of the exponential function.
- B - Growth factor
- x - Independent variable.
- y - Dependent variable.
Which is equivalent to the following logarithmic expression:
㏑ y = ㏑ A + B · x
If we know that (x₁, y₁) = (- 1, 5 / 3) and (x₂, y₂) = (3, 135), then the following system of equations is generated:
㏑ (5 / 3) = ㏑ A - B
㏑ 135 = ln A + 3 · B
Then, we solve the system by numerical methods:
㏑ A = 1.609 (A = 4.998), B = 1.098
And the exponential function is equal to y = 4.998 · .
To learn more on exponential functions: brainly.com/question/11487261
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Answer:
Rs. 4,444
Step-by-step explanation:
Let her pocket money be represented as A
She spent 25% of A on her clothes and 11% on shoes and then saved Rs. 1600
Total percentage spent = 25 + 11 = 36%
So, she spent 36% of A and was left with Rs. 1600
This can be represented by the equation below
36% of A = 1600
36/100 x A = 1600
0.36 x A = 1600
Divide both sides by 0.36
0.36/0.36 A = 1600/0.36
A = 4444.44
A = Rs. 4,444
Her pocket money was approximately Rs. 4,444
Okay sure mhm yeah uh huh
Answer:
The number of watches must he repair to have the lowest cost is 54.
Step-by-step explanation:
The cost of operating Bob's shop is given by
Differentiate the given function with respect to x.
... (1)
Equate C'(x) equal to 0, to find the critical point.
Divide both sides by 4.
Differentiate C'(x) with respect to x.
C''(x)>0, it means the cost of operating is minimum at x=54.
Therefore the number of watches must he repair to have the lowest cost is 54.
I believe his net worth would be $21,310
if you add all of it together but subtract his debts that’s your answer i’m pretty sure. hope it helps!