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2 years ago

Consider the exponential function

Mathematics

2 answers:

ELEN [110]2 years ago

8 0

Answer:

a) 14,278

Step-by-step explanation:

19000 × 0.96⁷

14277.50208

evablogger [386]2 years ago

7 0

<u>Given</u>:

The given function $f(x)=19,000 \cdot 0.96 ^x$ which models the value of Mark’s car, where x represents the number of years since he purchased the car.

We need to determine the approximate value of Mark's car after 7 years.

<u>Value of the car:</u>

The value of the car after 7 years can be determined by substituting x = 7 in the function $f(x)=19,000 \cdot 0.96 ^x$ , we get;

$f(7)=19,000 \cdot 0.96 ^7$

$f(7)=19,000 \cdot 0.7514474781$

$f(7)=14277.502$

Rounding off to the nearest dollar, we get;

$f(7)=14278$

Thus, the approximate value of Mark's car after 7 years is $14278.

Hence, Option a is the correct answer.

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Answer:

95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C

Step-by-step explanation:

The confidence interval for a proportion is given as [p +/- margin of error (E)]

p is sample proportion = 870/1,100 = 0.791

n is sample size = 1,100

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significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (z) at 5% significance level is 1.96.

E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024

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Help please. .....................

viva [34]

we can use formula

$y=ab^x$

now, we can find a and b

Initially , price is 500

so,

At $x=0,y=500$

$500=ab^0$

$a=500$

now, we can plug back

$y=500(b)^x$

At $x=3,y=10$

we can use it and find b

$10=500(b)^3$

now, we can solve for b

and we get

$b=0.27144$

so,

annual depreciation rate is 27.144%.......Answer

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