how many years (to two decimal places) will it take an investment of $17,000 to grow to $41,000 if it is invested at 2.95% compounded continuously

Answer:20

Step-by-step explanation:

Answer:

The square root of 25 is 5.

Step-by-step explanation:

You can check your work by doing 5 squared!

:) Hopefully this helps

I already answered your other question!

Answer:

...i cant see the pic

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

Let

�

m be Mike's age.

According to the given information, Gabrielle is

�

+

10

m+10 years old.

The sum of their ages is given by:

�

+

(

�

+

10

)

=

56

m+(m+10)=56

Combining like terms, we get:

2

�

+

10

=

56

2m+10=56

Subtracting 10 from both sides, we have:

2

�

=

46

2m=46

Dividing both sides by 2, we get:

�

=

23

m=23

So, Mike is 23 years old.

Answer:

Q1 = 54.25 ; Q3 = 82.75 ; IQR = 28.5 ; Outliers = 4, 6, 8  

Step-by-step explanation:

Quartiles divide data into 4 equal parts. Q1 has 25% data below it & 75% above it, Q3 has 75% data below it & 25% data above it.

Quartile Calculation for 30 number of observations

• Ascending order : 4, 6, 8, 20, 45, 48, 52, 55, 56, 60, 63, 65, 67, 68, 70, 74, 75, 77, 78, 79, 80, 81, 82, 85, 87, 88, 90, 92, 95, 99
• Q1 = (N + 1) / 4th observation = [ (30 + 1)/4 ] th obs. = (31 /4) th = 7.75th = 7th item + 0.75 (7th - 8th item) = 52 + 0.75 (55-52) = 52 + 0.75(3) = 52 + 2.25 = 54.25
• Q3 = 3 [(N+1) / 4] th observation = 7.75 x 3 = 23.25th item = 23rd item + 0.25 (24th - 23rd item) = 82 + 0.25 (85-82) = 82 + 0.25 (3) = 82 + 0.75 = 82.75
• Interquartile range (IQR) = Q3 - Q1 = 82.75 - 54.25 = 28.5

Outliers are the observations less than Q1 - 1.5 (IQR) , more than Q3 + 1.5 (IQR)

• Q1 - 1.5 (IQR) = 54.25 - 1.5 (28.5) =  54.25 - 42.75 = 11.5 .So, numbers less than 11.5, ie 4, 6, 8 are outliers
• Q3 + 1.5 (IQR) = 82.75 + 1.5 (28.5) = 82.75 + 42.75 = 125.5 .There are no numbers > 125.5

Final answer:

To find Qi, Q3, and the interquartile range (IQR), first, the data needs to be sorted in ascending order. Then, find Q1 as the median of the lower half and Q3 as the median of the upper half. The IQR is the difference between Q3 and Q1. To determine if there are any outliers, calculate the fences using the formulas: Lower fence = Q1 - (1.5 * IQR) and Upper fence = Q3 + (1.5 * IQR). If any commute times fall outside the fences, they are considered outliers.

Explanation:

To find the quartiles, the data needs to be sorted in ascending order. The sorted list is:

4, 6, 8, 20, 45, 48, 52, 55, 56, 60, 63, 65, 67, 68, 70, 74, 75, 77, 78, 79, 80, 81, 82, 85, 87, 88, 90, 92, 95, 99

Q1 is the median of the lower half (ignoring the median if the number of data points is odd), so Q1 = 56.

Q3 is the median of the upper half, so Q3 = 81.

The interquartile range (IQR) is the difference between Q3 and Q1, so IQR = Q3 - Q1 = 81 - 56 = 25.

To find the fences, use the formulas:

Lower fence: Q1 - (1.5 * IQR)

Upper fence: Q3 + (1.5 * IQR)

Lower fence = 56 - (1.5 * 25) = 56 - 37.5 = 18.5

Upper fence = 81 + (1.5 * 25) = 81 + 37.5 = 118.5

There are no commute times that fall outside the fences, so there are no outliers in the sample.

Learn more about quartiles here:

brainly.com/question/8587717

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