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BigorU [14]
3 years ago
8

Using a graphing calculator to determine a quadratic function h(t) for the data?

Mathematics
1 answer:
Andre45 [30]3 years ago
6 0
A quadratic equation is ax^2+bx+c=h(x)

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Please help!! will mark branliest
Mashcka [7]

Answer:

a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet).  You can see where this is going. After n bounces the ball will be at

h(n) = (85\%)^n 6ft = (\frac{17}{20})^n(6ft\times 12\frac{in}{ft}) = (\frac{17}{20})^n\times72'

b. After 8 bounces we can apply the previous formula with n = 8 to get

h(8)=(\frac{17}{20})^8\times 72' = 19.62'

c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous h(n)increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:

1>(\frac{17}{20})^n\times 72 Let's first isolate the fraction by dividing by 72.

(\frac{17}{20})^n  Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:

ln ((\frac{17}{20})^n) < ln \frac 1{72} \rightarrow n\times ln (\frac{17}{20}) < -ln72. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:

-(0.16)n < - 4.27 \rightarrow n>26.31 Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.

7 0
2 years ago
Help ASAP please!!!
olga55 [171]

Answer:


Step-by-step explanation:

Let's first understand what percentage of the population actually exists after the decrease.

<h3>100% - 35% = 65% of the population.</h3>

We'll now convert 65% into a decimal. We can convert percentages into decimals by dividing the percentage by 100.

<h3>0.65 / 100 of the population.</h3>

We'll now make an equation.

<h2>0.65x = 29,900</h2><h2>x = 46,000.</h2><h3>Keep in mind that x, in the equation, is to represent the previous population. When you multiply it by 0.65, you're representing 65% of x which is also equal to 29,900. When you multiply the equation by (100/65) on each side, you find out the previous population is 46,000.</h3><h2>If you have issues or difficulties, feel free to contact me.</h2>
4 0
3 years ago
At the beginning of the month a store had a balance of −$554. During the month the store lost another $600. What is the current
musickatia [10]
 When subtracting a number from a negative number the number appears to get larger, but in fact only becomes smaller. - 554 - 600 = - $1154
4 0
3 years ago
Read 2 more answers
If you miss a payment for a bill, how do you compute the interest due on the next bill?
Vladimir79 [104]

Answer:

Late fees can only be as high as your minimum payment or $25

Example

it’s the 15th day of the month and you realize you didn’t make the credit card payment that was due three days ago on the 12th. Or, you check your billing statement to find a late fee for a payment you thought you made but turns you forgot to drop the check in the mail. An accidentally missed payment can happen to anyone. Act quickly and you may be able to lessen the damage.

Make the payment as soon as you can  

If you catch the missed payment a few days after the due date, make it up before your next billing statement comes. Doing this will prevent a late payment being reported to the credit bureaus. Creditors report typically report delinquent payments once they become at least 30 days late, so make your payment before your delinquency reaches the 30-day mark.

When you go through a period of financial difficulty, your bill-paying problems — specifically, payments made late or missed altogether — will show up on your credit record and hurt your credit rating.

As soon as you miss a payment or know that you’re going to miss one, call your lender. Doing so may help minimize the damage to your credit rating and can help avoid collection calls.

Check your account online and you’ll probably see that a late fee has already been added; some card issuers add the late fee just minutes after the cutoff time on your due date. Late fees can only be as high as your minimum payment or $25, assuming you haven’t been late in the previous six months. Despite the recent cap on late fees, you still want to avoid the fee if you can and you should definitely try.

Many creditors are willing to waive a late fee as long as you’re not habitually late on payments. Contact your creditor, briefly explain how the missed payment was an accident, and ask that your late fee is waived. If your creditor won’t budge on the fee, don’t press the issue. Simply take it as a lesson learned, pay the fee, and be sure to send your payment on time next month and every month thereafter.


6 0
3 years ago
Read 2 more answers
write an equation in y=mx+b for a line that passes through (3,-4) &amp; has a slope of -3. you can write it in point-slope and c
dedylja [7]
Y = -3x + b
Plug in point
-4 = -3(3) + b
-4 = -9 + b, b = 5
Solution: y = -3x + 5
5 0
3 years ago
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