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Answer:
0.8%.
Step-by-step explanation:
Given:
At the start of the month, the value of an investment was $73.42.
By the end of the month, the value of the investment changed by a loss of $13.53.
Question asked:
What was the value, in dollars, of the investment at the end of the month?
What was the percent loss?
Solution:
At the start of the month, the value of an investment = $73.42.
Loss = $13.53.
<u><em>The value, of the investment at the end of the month = The value of an investment at the start of the month - loss</em></u>
The value, of the investment at the end of the month = $73.42 - $13.53
= $59.89
Thus, the value, of the investment at the end of the month is $59.89.
Now, we will find percent loss:-
Thus, percent loss on investment by the end of the month is 0.8%.
Answer:
Step-by-step explanation:
Given
per hour
Required
Derive an expression for the scenario
A tandem bike allows 2 individuals to ride on it at a time.
So, they will only pay for one rental fee because both can ride on it at the same time.
However, they need to get separate helmets.
For Helmets, they will spend:
For Rental, they will spend
for h hours.
Recall that they have just $80 to spend
So, substitute 80 for total
Hence, option C answers the question.
Answer:
Step-by-step explanation:
First off, I'm assuming that when you said "directrices" you mean the oblique asymptotes, since hyperbolas do not have directrices they have oblique asymptotes.
If we plot the asymptotes and the foci, we see that where the asymptotes cross is at the origin. This means that the center of the hyperbola is (0, 0), which is important to know.
After we plot the foci, we see that they are one the y-axis, which is a vertical axis, which means that the hyperbola opens up and down instead of sideways. Knowing those 2 characteristics, we can determine that the equation we are trying to fill in has the standard form
We know h and k from the center, now we need to find a and b. Those values can be found from the asymptotes. The asymptotes have the standard form
y = ±
Filling in our asymptotes as they were given to us:
y = ± where a is 2 and b is 1. Now we can write the formula for the hyperbola!:
which of course simplifies to