The table lists the results from a survey (of questionable accuracy) of adults and how much they spend on a night out.

Answer:

Nina's speed in MPH:  12.706 miles per hour

Nina is quicker than Sophia.

Step-by-step explanation:

To solve this problem, we will convert feet per second to miles per hour and subsequently compare Nina's speed to that of Sophia's.

Nina rides at 63360 feet in 3400 seconds. To perform this conversion, we know that there are 5280 feet in a mile and 3600 seconds in an hour. Applying these conversions, we can calculate the speed in miles per hour.

(63360 feet / 3400 seconds) * (1 mile / 5280 feet) * (3600 seconds / 1 hour) = 12.706 miles per hour.

Thus, it follows that Nina rides her bike at a rate of 12.706 miles per hour, whereas Sophia rides her bicycle at a rate of 10 miles per hour.

This indicates that Nina rides faster than Sophia by 2.706 miles per hour (12.706 - 10).

Cheers.

Response:

I hope the image provided solves your query

F(x) = 1,000. 70n - 400 = 1,000. 70n = 1,000 + 400. 70n = 1,400. n = 1,400/70. n = 20. The instructor requires 20 students.

To determine the future value of an initial amount of $845 at an interest rate of 11.3% over 7 years, we will utilize the compound interest formula, which is expressed as:
A=p(1+r/100)^n
where:
A=future value
r=rate=11.3%=0.113
time=7 years
Hence, the future value of the capital will be:
A=845(1+0.113)^7
A=845(1.113)^7
A=$1,787.82 

The y-intercept is the location where any graph meets the y-axis.

Conversely, the x-intercept is where a graph intersects the x-axis.

This indicates that the coordinates at the intercept will always have the x-value as 0. Therefore, points of the format (0, y) represent y-intercepts, while points in the format (x, 0) indicate x-intercepts.

The provided points are:

(0,-6): y-intercept

(-2,0): x-intercept

(-6,0): x-intercept

(0,-2): y-intercept