There are nine tennis balls and three cans
1 answer:
You might be interested in
To solve this we are going to use formula for the future value of an ordinary annuity: ![FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]](https://tex.z-dn.net/?f=FV%3DP%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D%20-1%7D%7B%20%5Cfrac%7Br%7D%7Bn%7D%20%7D%20%5D)
where
is the future value
is the periodic payment
is the interest rate in decimal form
is the number of times the interest is compounded per year
is the number of years
We know from our problem that the periodic payment is $50 and the number of years is 3, so
and 
. To convert the interest rate to decimal form, we are going to divide the rate by 100%
Since the interest is compounded monthly, it is compounded 12 times per year; therefore,
.
Lets replace the values in our formula:
![FV=50[ \frac{(1+ \frac{0.04}{12} )^{(12)(3)} -1}{ \frac{0.04}{12} } ]](https://tex.z-dn.net/?f=FV%3D50%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7B0.04%7D%7B12%7D%20%29%5E%7B%2812%29%283%29%7D%20-1%7D%7B%20%5Cfrac%7B0.04%7D%7B12%7D%20%7D%20%5D)
We can conclude that after 3 years you will have $1909.08 in your account.
where
We know from our problem that the periodic payment is $50 and the number of years is 3, so
Since the interest is compounded monthly, it is compounded 12 times per year; therefore,
Lets replace the values in our formula:
We can conclude that after 3 years you will have $1909.08 in your account.
Answer:
- Mean = 26.24
- Median = 27
- Mode = 32
- Range = 38
Step-by-step explanation:
Plotting the original data from leaf plot
<em><u>Finding Mean:</u></em>
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:
= 26.24
Therefore, the range = 26.24.
<u>Finding Median:</u>
The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.
Ordering the data from least to greatest, we get:
9 11 12 12 14 17 25 25 27 32 32 32 33 35 41 42 47
So, the median is 27 .
<em><u>Finding Mode: </u></em>
The mode of a set of data is the value in the set that occurs most often.
Ordering the data from least to greatest, we get:
9 11 12 12 14 17 25 25 27 32 32 32 33 35 41 42 47
We see that the mode is 32.
<em><u>Finding Range:</u></em>
The range is the difference between the highest and lowest values in the data set.
Ordering the data from least to greatest, we get:
9 11 12 12 14 17 25 25 27 32 32 32 33 35 41 42 47
The lowest value is 9.
The highest value is 47.
The range = 47 - 9 = 38