Write the answer as a single fraction with no exponents.

a boat costs 11,850 and decreases in value by 10% per year. how much will the boat be worth after 8 years

lawyer [7]

If the boat initially cost $11850 and INCREASED in value by 10% per year, we'd calculate the final value like this:

V = $11850(1+0.10)^8

But if the boat is losing value (depreciating) over time, we'd calculate its final value like this:

V = $11850(1-0.10)^8 = $11850(0.90)^8 = $11850(0.4305) = $5101.04 (answer)

5 0

3 years ago

The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that

wlad13 [49]

Answer:

a) 0.0821

b) 0.0111

c) 0.0041

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \lambda e^{-\lambda x}$

In which $\lambda$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\lambda x}$

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 5) + P(X > 5) = 1$

In all 3 cases, we want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

$P(X \leq 5) = 1 - e^{-5\lambda}$

(a) lambda=.5

$P(X \leq 5) = 1 - e^{-5*0.5} = 0.9179$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9179 = 0.0821$

(b) lambda=0.9

$P(X \leq 5) = 1 - e^{-5*0.9} = 0.9889$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9889 = 0.0111$

(c) lambda=1.1

$P(X \leq 5) = 1 - e^{-5*1.1} = 0.9959$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041$

7 0

3 years ago

Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of

bekas [8.4K]

Answer:

The maximum revenue Luci Lulu can make selling cookies in one day is $2,000.

The price Luci Lulu should sell the cookies to make the maximum revenue is $1.

Step-by-step explanation:

From the question, we have:

x = −2000p + 4000 ..................... (1)

Where;

x = number of cookies sold

p = price of a cookie, p, and the

Revenue function (R) can therefore be obtained as follows:

R = px ……………………….. (2)

If we substitute equation (1) into (2), we will have:

R = p(−2000p + 4000)

R = −2000p^2 + 4000p ……………… (3)

Differentiating equation (3) with respect to p and set it equal to zero, we have:

−4000p + 4000 = 0

Solving for p, we have:

4000 = 4000p

p = 4000 / 4000

p = 1

Therefore, this implies the price Luci Lulu should sell the cookies to make the maximum revenue is $1.

Substituting p = 1 into equation (3), we have:

R = (−2000 * 1^2) + (4000 * 1)

R = (−2000 * 1) + (4000 * 1)

R = −2000 + 4000

R = 2000

This implies that the maximum revenue Luci Lulu can make selling cookies in one day is $2,000.

6 0

3 years ago

9. Musa's age is two thirds of Abu's age.

Darya [45]

Answer:

17

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

If there are 9 stars for every 2 hearts, how many stars for 4 hearts?

Archy [21]

Answer:

18 stars

Step-by-step explanation:

We can use a ratio to solve

9 stars x

--------- = -----------

2 hearts 4 hearts

Using cross products

9*4 = 2x

36 = 2x

Divide by 2

36/2 =2x/2

18 =x

18 stars

3 0

3 years ago

Read 2 more answers