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Ad libitum [116K]
3 years ago
12

If a boat depreciates in value according to the simple interest formula Y=20,000(.92)^2 find the rate of decay. Write as a perce

ntage!
Mathematics
1 answer:
Alexandra [31]3 years ago
6 0

Answer:

Rate of Decay = 8%

Step-by-step explanation:

The decay formula is:

F=P(1-r)^t

Where F is the final value (here, it is given as "Y")

P is the initial value (here, given as 20,000)

r is the rate of decay (what we need to find)

t is the time (given as 2)

Comparing both the equations:

F=P(1-r)^t\\Y=20,000(0.92)^2

We see that:

1 - r  =0.92

We solve for "r":

1 - 0.92 = r

0.08 = r

The rate of decay is 0.08, as a percentage, we need to multiply by 100, so we have:

0.08 * 100 = 8%

Rate of Decay = 8%

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Una escalera se apoya en una pared con un ángulo de 40º. Si se apoyase con un ángulo de 55º, se conseguiría una altura 35 cm may
sdas [7]

Answer: L ≈ 2.0 m

Step-by-step explanation:

Lsin40 = h

Lsin55 = h + 0.35

Lsin55 = Lsin40 + 0.35

Lsin55 - Lsin40 = 0.35

L(sin55 - sin40) = 0.35

L = 0.35 / (sin55 - sin40)

L = 1.98452 ≈ 2.0 m

3 0
2 years ago
Graph a line whose x-intercept is 9 and y-intercept is 7​
sweet-ann [11.9K]
Didn’t draw the other lines cuz I’m lazy lol but this the right answer

8 0
3 years ago
A standard die is rolled 360 times in hopes of rolling a 5 or 6. So the probability of success is p=1/3. Find the standard devia
lana [24]

Answer: option 1 is the correct answer

Step-by-step explanation:

Number of times for which the die was rolled is 360. It means that our sample size, n is 360.

The probability of rolling a 5 or a 6 is 1/3. It means that probability of success,p = 1/3. The probability of failure,q is

1 - probability of success. It becomes

1 - 1/3 = 2/3

The formula for standard deviation is expressed as

√npq. Therefore

Standard deviation = √360 × 1/3 × 2/3

= √80 = 8.9443

Standard deviation is approximately 8.9

4 0
3 years ago
heyyy! i haven't posted a question in a long time lolz. anyways, i really needed help with this!! if you can answer my question
Andre45 [30]
2 ones and 8 hundredths

00.00
the first zero is tens, ones, and after the decimal, to the right is the tenths, hundredths and so on
7 0
3 years ago
Is -1 a solution to 4x - 3 &lt; 5?<br> (look at the picture)
inessss [21]

Answer:

Yes

Step-by-step explanation:

Assuming that the question is asking for -1 to be plugged in as x

4(-1)-3≤5

-4-3≤5

-7≤5

5 0
2 years ago
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