Mathematics, 21.10.2019 17:30 mommatann

Since january 1, 1960, the population of slim chance has been described by the formula p=33000(0.98)^t where p is the population of the city t years after the start of 1960. at what rate was the population changing on january 1, 1978?

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If January 1, 1960, the population of Slim Chance has been described by the formula P=33000(0.98)^t where P is the population of the city t years after the start of 1960. The rate that the population change on January 1, 1978 is : 22,940

Let P=33000(0.98)^t

Let t = 18 (1978-1960)

Now let determine at what rate was the population changing on January 1, 1978

Change in population = 33000(0.98)^18

Change in population= 22,939.47

Change in population=22,940 (Approximately)

Inconclusion if January 1, 1960, the population of Slim Chance has been described by the formula P=33000(0.98)^t where P is the population of the city t years after the start of 1960. The rate that the population change on January 1, 1978 is : 22,940

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Answer from: seanisom7

Let

P-------> the population of Slim Chance (Since January 1, 1960)

t--------> the number of years (after the start of 1960)

we know that

$P=33,000*(0.98)^{t}$

Step 1

Take the derivative of P with respect to t

$\frac{dP}{dt}=33,000*(0.98)^{t}*ln(0.98)$

Step 2

$1978-1960=18\ years$

Evaluate the derivative of P with respect to t for $t=18\ years$

substitute

$\frac{dP}{dt}=33,000*(0.98)^{18}*ln(0.98)=-463.44\frac{people}{year}$

therefore

the answer is

The rate of change is $-463.44 \frac{people}{year}$

Answer from: Quest

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2 polynomial long division

dividing : x4+5x3-4x2-8x+6

("dividend")

by : x-1 ("divisor")

dividend x4 + 5x3 - 4x2 - 8x + 6

- divisor * x3 x4 - x3

remainder 6x3 - 4x2 - 8x + 6

- divisor * 6x2 6x3 - 6x2

remainder 2x2 - 8x + 6

- divisor * 2x1 2x2 - 2x

remainder - 6x + 6

- divisor * -6x0 - 6x + 6

remainder 0

quotient : x3+6x2+2x-6 remainder: 0

Answer from: Quest

no ,sorry if you needed it but you can ask and try to see if any one will anwser ,

step-by-step explanation:

by good luck mark me as brainliest

have a nice day

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Since january 1, 1960, the population of slim chance has been described by the formula p=33000(0.98)...