Step-by-step explanation:
Nachelle goes out to lunch. The bill, before tax and tip, was $8.10. A sales tax of 4% was added on. Nachelle tipped 17% on the amount after the sales tax was added. How much was the sales tax? Round to the nearest cent.
This graph has a horizontal asymptote so it is an exponential graph. It also passes through two points (0,-2) and (1,3). The horizontal asymptote is at y=-3.
The unchanged exponential equation is y=a(b)^x +k
For exponential equations, k is always equal to the horizontal asymptote, so k=-3.
You can check this with the ordered pair (0,-2). After that plug in the other ordered pair, (1,3).
This gives you 3=a(b)^1 or 3=ab. If you know the base the answer is simple as you just solve for a.
If you don't know the base at this point you have to sort of guess. For example, let's say both a and b are whole numbers. In that case b would have to be 3, as it can't be 1 since then the answer never changes, and a is 1. Then choose an x-value and not exact corresponding y-value. In this case x=-1 and y= a bit less than -2.75. Plug in the values to your "final" equation of y=(3)^x -3.
So -2.75=(3^-1)-3.
3^-1 is 1/3, 1/3-3 is -8/3 or -2.6667 which is pretty close to -2.75. So we can say the final equation is y=3^x -3.
Hope this helps! It's a lot easier to solve problems like these given either more points which you can use system of equations with, or with a given base or slope.
Answer:Average score for 3 tests is 83.67
Step-by-step explanation:sorry if im wrong
The x-intercept is (9,0). Hope it help!
Answer:
Number of new weeks = 20 week
Step-by-step explanation:
Total money saves = $50 x 30
Total money saves = $1,500
Find:
Number of new week
Computation:
Total money saves = Number of money save per week x Number of new weeks
1,500 = 75 x Number of new weeks
Number of new weeks = 20 week
