3. A fire truck is parked twelve feet
1 answer:
Answer: 9.04 feet
Step-by-step explanation:
First, it is important to draw a Right triangle, as the one attached, where "x" represents the height in feet from the ground in which the fire is burning.
In this case you need to use the following Trigonometric Identity:
You can identify that:
Therefore, you can substitute values into :
Finally, you must solve for "x" in order to find its value. You get that this is:
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Answer:
Tina would save the same amount using either option after 20 months.
With either option, Tina would save $700.
Step-by-step explanation:
This problem can be modeled by a first order equation:
Where Tina's saved money after n months is:
S(n) = S(0) + rn, where S(0) is the money put away initially and r is how much she saves every month.
The first option is to put $500 away initially and save $10 every month, so:
The second option is to put $100 away initially and save $30 every month, so:
After how many months would Tina save the same amount using either option?
It will happen at the month n in which , so:
500 + 10n = 100 + 30n
500 - 100 = 30 - 10n
400 = 20n
20n = 400
n = 20.
Tina would save the same amount using either option after 20 months.
How much would she save with either option?
We can choose or
, since they are equal
With either option, Tina would save $700.