3 years ago

In a box of chocolate candies, 25 of the chocolates have peanuts. 6 of the chocolates have peanuts.

Mathematics

1 answer:

antoniya [11.8K]3 years ago

6 0

Answer: 150

Step-by-step explanation:

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Answer:

$10,741,021\ people$

Step-by-step explanation:

we know that

The equation of a exponential decay function can be written as

$y=a(1-r)^x$

where

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x ---> the number of years since 2000

a ---> is the initial value or y-intercept

r is the rate of change

we have

$a=11,013,000\ people$

$r=0.05\%=0.05/100=0.0005$

substitute

$y=11,013,000(1-0.0005)^x$

$y=11,013,000(0.9995)^x$

Predict the population in 2050

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For x=50 years

substitute in the equation

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muminat

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1 year ago

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Lynna [10]

$f'(4) = 43$

Explanation:

Given: $f(x)=5x^2 + 3x + 3$

$\displaystyle f'(x)= \lim_{h \to 0} \dfrac{f(x+h) - f(x)}{h}$

Note that

$f(x+h) = 5(x+h)^2 + 3(x+h) + 3$

$\:\:\;\:\:\:\:= 5(x^2 + 2hx + h^2) + 3x + 3h +3$

$\:\:\;\:\:\:\:= 5x^2 + 10hx + 5h^2 + 3x + 3h +3$

Substituting the above equation into the expression for f'(x), we can then write f'(x) as

$\displaystyle f'(x) = \lim_{h \to 0} \dfrac{10hx + 3h + 5h^2}{h}$

$\displaystyle\:\:\;\:\:\:\:= \lim_{h \to 0} (10x +3 +5h)$

$\:\:\;\:\:\:\:= 10x + 3$

Therefore,

$f'(4) = 10(4) + 3 = 43$

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