How far is it from the log ride to the pirate ship?

A tennis club charges a monthly membership fee of $150 and charges it members $10 per hour to use a court. There\'s also $500 fe

Sophie [7]

The question is "What's Stella's opportunity cost of working on her serve for an hour?" The rest of the info looks like it's meant to confuse you. They charge $10 an hour. She values an hour of her time at $20. I believe that means she would pay $20. Hope this helps!

8 0

3 years ago

If the Lafita family deposits 8500$ ina savings account at 6.75% interest, compounded continuously, how much will be the account

julsineya [31]

A=pe^rt
A=8,500×e^(0.0675×25)
A=45,950.57

8 0

3 years ago

Without sketching the graph of the function, find the maximum value of y = - 5x + 4 over the interval - 4 <= x <= 3. Expla

yKpoI14uk [10]

Answer:

$y_{max}=24$

Step-by-step explanation:

Given function $y=-5x+4$ is linear function. This linear function represents the straight line on the coordinate plane. The slope of this line is $-5.$ Since the slope is negative, the linear function is decreasing for all x. This means

$\text{ if } x_1 f(x_2)$

You ar geven the interval $-4\le x\le 3.$ So, the maximum value of the function is at the point x=-4 and the minimum value of the function is at the point x=3.

At x=-4,

$y=-5\cdot (-4)+4=20+4=24.$

3 0

3 years ago

What is - 4i ^ 19, simplify

german

Answer:

$"i"$

Step-by-step explanation:

$i =\sqrt{-1} \\i^{2}= -1\\\\i^{3}= -i\\\\i^{4}= 1\\\\i^{5}= i\\$

the cycle repeats every 4

19/4 = 4.75

16 is divisible by 4 plus three more

thus $i^{19} = -i$ but you problem has a minus in front so "i"

7 0

3 years ago

In the last quarter of 2007, a group of 64 mutual funds had a mean return of 2.2 2.2% with a standard deviation of 6.3 6.3%.

Svet_ta [14]

Answer:

a) 0.625; b) 16.879; c) 8.442

Step-by-step explanation:

Since this is a normal distribution, we want the value of the mean, μ: 2.2; and the value of the standard deviation, σ: 6.3.

For the 40th percentile, we look in a z chart. We want to find the value as close to 0.40 as we can get; this is 0.4013, and it corresponds to a z score of z = -0.25.

Our formula for a z score is $z=\frac{X-\mu}{\sigma}$ . Using our values, we have

-0.25 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(-0.25) = X-2.2

-1.575 = X-2.2

Add 2.2 to each side:

-1.575+2.2 = X-2.2+2.2

0.625 = X

For the 99th percentile, the value in the z chart closest to 0.99 is 0.9901, which corresponds to a z score of z = 2.33:

2.33 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(2.33) = X-2.2

14.679 = X-2.2

Add 2.2 to each side:

14.679+2.2 = X-2.2+2.2

16.879 = X

For the IQR, we find the values for the 75th percentile (Q3) and the 25th percentile (Q1). The value in a z chart closest to 0.75 is 0.7486, which corresponds to a z score of z = 0.67:

0.67 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(0.67) = X-2.2

4.221 = X-2.2

Add 2.2 to each side:

4.221+2.2 = X-2.2+2.2

6.421 = X

The value in a z chart closest to 0.25 is 0.2514, which corresponds to a z score of z = -0.67:

-0.67 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(-0.67) = X-2.2

-4.221 = X-2.2

Add 2.2 to each side:

-4.221+2.2 = X-2.2+2.2

-2.021 = X

This makes the interquartile range

6.421--2.021 = 8.442

8 0

3 years ago