Simple Interest:
I = P x r x t
I = 8000 x 0.15 x 2
I = 2400
Compound Interest:
A = P(e^rt)
where e is the Euclid’s constant
and A is the total amount with interest
A = 8000(e^0.15(2))
A = 10799 (rounded up)
Therefore compound interest is 2799.
The difference:
compound - simple = 2799 - 2400
Answer is rs 399.
It’s 11 24/64 i did this too
<u>Differentiate using the Quotient Rule</u> –
![\pink{\twoheadrightarrow \sf \dfrac{d}{dx} \bigg[\dfrac{f(x)}{g(x)} \bigg]= \dfrac{ g(x)\:\dfrac{d}{dx}\bigg[f(x)\bigg] -f(x)\dfrac{d}{dx}\:\bigg[g(x)\bigg]}{g(x)^2}}\\](https://tex.z-dn.net/?f=%5Cpink%7B%5Ctwoheadrightarrow%20%5Csf%20%5Cdfrac%7Bd%7D%7Bdx%7D%20%5Cbigg%5B%5Cdfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%5Cbigg%5D%3D%20%5Cdfrac%7B%20g%28x%29%5C%3A%5Cdfrac%7Bd%7D%7Bdx%7D%5Cbigg%5Bf%28x%29%5Cbigg%5D%20-f%28x%29%5Cdfrac%7Bd%7D%7Bdx%7D%5C%3A%5Cbigg%5Bg%28x%29%5Cbigg%5D%7D%7Bg%28x%29%5E2%7D%7D%5C%5C)
According to the given question, we have –
- f(x) = x^3+5x+2
- g(x) = x^2-1
Let's solve it!
![\green{\twoheadrightarrow \bf \dfrac{d}{dx}\bigg[ \dfrac{x^3+5x+2 }{x^2-1}\bigg]} \\](https://tex.z-dn.net/?f=%5Cgreen%7B%5Ctwoheadrightarrow%20%5Cbf%20%5Cdfrac%7Bd%7D%7Bdx%7D%5Cbigg%5B%20%5Cdfrac%7Bx%5E3%2B5x%2B2%20%7D%7Bx%5E2-1%7D%5Cbigg%5D%7D%20%5C%5C)
The expression that represents Lonnie's final number is 2(x + 3) - 6
<h3>Writing an expression</h3>
From the given information, we are to write the expression that represents Lonnie's final number
From the given information,
"<em>kristy asks lonnie to think of a number, add 3 to it</em>"
Let the number be x
Then,
The statement becomes
x + 3
<em>"multiply the sum by 2</em>" we get
2×(x +3)
= 2(x + 3)
"<em> subtract 6</em>",
The expression becomes
2(x + 3) - 6
This is the expression that represents Lonnie's final number
Hence, the expression that represents Lonnie's final number is 2(x + 3) - 6
Learn more on Writing an expression here: brainly.com/question/12166019
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