The given condition is an arithmetic sequence with the first term (a1) is 1 penny and the common difference (d) is 1 penny. A year that is not a leap year has 365 days (n). The arithmetic series (S) is calculated through formula,
S = (n/2) (2a1 + (n - 1) x d)
Substituting the known values,
S = (365/2) (2 x 1 + (365 - 1) x 1)
S = 66795 pennies
A dollar is 100 pennies. Therefore, at the end of the year, the total savings is $667.95.
A simulation is a mathematical model used to represent a situation.
- A simulation can be a program or a physical test to "simulate" a situation to predict the outcomes.
When we combine two or more simple events we have a compound event
- "Compound" means to combine, like a compound word would be a combination of two words
A Tree Diagram is a diagram that shows all the possible outcomes of an event
- In a tree diagram, each possible outcome "branches" off the main stem, making the final diagram look like a tree with many separating branches.
All the possible outcomes or results is called the sample space
- The outcomes are each different samples, and a sample space is a space that collects each of these samples
When an event is not affected by a previous outcome we have an independent event
- This event is "independent", not affected by other factors, making it an independent event
Let me know if you need any clarifications, thanks!
~ Padoru
Odd question; there's no real rate exact 50 meters per lap (assuming the last is a typo), i.e we have a 50 meter pool.
d = 50 n
so when n=15
d = 50(15) = 750 meters
1/10 * n=90
n=90*10=900
1/10*900=90
I hope this helped. :)
Answer:
y = -2x + 2
Step-by-step explanation:
y-intercept is 2 (where the line crosses the y axis)
slope is -2 (fall over run)
written in slope - intercept form, you get y = -2x + 2