R=d/t if you are solving for d

Explanation:

Song is called??

btw that isnt me lol

The future value of all of this money at the end of the 92nd day, at the end of August was obtained to be $3,260,336.48

Step-by-step explanation:

The complete question is attached to this solution

From the question,

The revenue per day is given as

f(t) = 300 + 4.5t - 0.05t² for 0≤t≤92

The future value is also given in the question. Note that this figure value is compounded over day 0 to 92.

So, a = 0, b = 92, r = 1.05

This integral is evaluated and presented in the attached images to this question.

The integral is evaluated on the second, third and fourth attached images to this solution.

Hope this Helps!!!

The future value of all of this money at the end of the 92nd day, at the end of August was obtained to be $3,260,336.48

Step-by-step explanation:

The complete question is attached to this solution

From the question,

The revenue per day is given as

f(t) = 300 + 4.5t - 0.05t² for 0≤t≤92

The future value is also given in the question. Note that this figure value is compounded over day 0 to 92.

So, a = 0, b = 92, r = 1.05

This integral is evaluated and presented in the attached images to this question.

The integral is evaluated on the second, third and fourth attached images to this solution.

Hope this Helps!!!

1. 1.00 for the prices, 0.06 for the taxes

2.  B. t= 0.06p

3. A. $0.94

5. 1.00 + 0.06 = 1.06, 2.00 + 0.12 = 2.12, 3.00 + 0.18 = 3.18, 4.00 + 0.24 = 4.24

6. B: 1.06

7. D. T=1.06s

Step-by-step explanation:

1. Price: 1.00| 2.00| 3.00| 4.00| Sales Tax: 0.06, 012, 0.18, 024,  

Find the constant of variation, k, for the above table. What does this represent?

The constant of variation is the fixed amount that is added or subtracted from one element of a data series to find the next one.   So, since you have 2 different data sets (one for price, one for taxes), we in fact have two series, 2 constants of variation.

For the price...  it goes from 1.00 to 2.00 to 3.00 to 4.00.  We can see it increases by 1.00 each single time, that is the constant of variation for the prices!

If we look at the taxes, we see a similar progression... from 0.06 to 0.12 to 0.18 to 0.24... it changes by 0.06 each time. 0.06 is then the constant of variation for the taxes part of the table.

2. What is the direct variation equation for the table above, using t for sales tax and p for price?

 B. t= 0.06p

If you look at the relationship between the elements of the price table and the corresponding elements of the tax table, you'll see a clear ratio of 6% (0.06/1.00, 0.12/2.00, 0.18/3.00 and so on).

So, to obtain the tax number (t), you need to multiply the price of the sale (p) by 0.06.  And you can easily verify it by using the 2.00 sale for example:

t = 0.06 * 2.00 = 0.12

3. What is the sales tax on a purchase of $15.60

A. $0.94

It's easy to calculate with the formula we just found in the previous question:    t= 0.06p

So, if we use it with the price of $15.60, we get:

t = 0.06 * $15.60 = $0.936

Since we don't use half cents anymore, we have to round it to the closest cent.  In that case, we would round it up to $0.94.

5. Price: 1.00, 2.00, 3.00, 4.00, From the closing question what are the entries for the column total price plus sales tax in the above table?

To calculate the total price for each sale, we need to add up the price of the item plus the amount of tax for that sale.  We already have both amounts, so it's easy:

1.00 + 0.06 = 1.06

2.00 + 0.12 = 2.12

3.00 + 0.18 = 3.18

4.00 + 0.24 = 4.24

6. What is the value of the constant of variation, k, for the above table?

Again, the constant of variation is the fixed amount that is added or subtracted from one element of a data series to find the next one.   The answer choices (0.06, 1.06, 2.12, 4.24) lead to think they're talking about the total price amounts (since 3 of the 4 possible answers are total amounts we just calculated), so we'll use this sample.

The amounts go from 1.06 to 2.12 to 3.18 to 4.24, if you subtract any element of the series from the next element, you'll get 1.06, that's the constant of progression. In this case, 1.06.

7. Which is the direct variation equation for the table in question 5 using "s" for sale price and "T" for total price?

So, if we look at the data, we have the following relationship:

sale 1.00, total 1.06

sale 2.00, total 2.12

sale 3.00, total 3.18

sale 4.00, total 4.24

What relation can we establish based on that?   What's the relation between the total price and the sale price?  Take any set, and divide the total by the sale...

Let's take 3.18 / 3.00 = 1.06, and it works the same for all other total/sale.

So, the relation is 1.06.  You have to multiply the sale amount by 1.06 to get the total amount (which includes tax).

so, T = 1.06s

Explanation:

Song is called??

btw that isnt me lol

1. 1.00 for the prices, 0.06 for the taxes

2.  B. t= 0.06p

3. A. $0.94

5. 1.00 + 0.06 = 1.06, 2.00 + 0.12 = 2.12, 3.00 + 0.18 = 3.18, 4.00 + 0.24 = 4.24

6. B: 1.06

7. D. T=1.06s

Step-by-step explanation:

1. Price: 1.00| 2.00| 3.00| 4.00| Sales Tax: 0.06, 012, 0.18, 024,  

Find the constant of variation, k, for the above table. What does this represent?

The constant of variation is the fixed amount that is added or subtracted from one element of a data series to find the next one.   So, since you have 2 different data sets (one for price, one for taxes), we in fact have two series, 2 constants of variation.

For the price...  it goes from 1.00 to 2.00 to 3.00 to 4.00.  We can see it increases by 1.00 each single time, that is the constant of variation for the prices!

If we look at the taxes, we see a similar progression... from 0.06 to 0.12 to 0.18 to 0.24... it changes by 0.06 each time. 0.06 is then the constant of variation for the taxes part of the table.

2. What is the direct variation equation for the table above, using t for sales tax and p for price?

 B. t= 0.06p

If you look at the relationship between the elements of the price table and the corresponding elements of the tax table, you'll see a clear ratio of 6% (0.06/1.00, 0.12/2.00, 0.18/3.00 and so on).

So, to obtain the tax number (t), you need to multiply the price of the sale (p) by 0.06.  And you can easily verify it by using the 2.00 sale for example:

t = 0.06 * 2.00 = 0.12

3. What is the sales tax on a purchase of $15.60

A. $0.94

It's easy to calculate with the formula we just found in the previous question:    t= 0.06p

So, if we use it with the price of $15.60, we get:

t = 0.06 * $15.60 = $0.936

Since we don't use half cents anymore, we have to round it to the closest cent.  In that case, we would round it up to $0.94.

5. Price: 1.00, 2.00, 3.00, 4.00, From the closing question what are the entries for the column total price plus sales tax in the above table?

To calculate the total price for each sale, we need to add up the price of the item plus the amount of tax for that sale.  We already have both amounts, so it's easy:

1.00 + 0.06 = 1.06

2.00 + 0.12 = 2.12

3.00 + 0.18 = 3.18

4.00 + 0.24 = 4.24

6. What is the value of the constant of variation, k, for the above table?

Again, the constant of variation is the fixed amount that is added or subtracted from one element of a data series to find the next one.   The answer choices (0.06, 1.06, 2.12, 4.24) lead to think they're talking about the total price amounts (since 3 of the 4 possible answers are total amounts we just calculated), so we'll use this sample.

The amounts go from 1.06 to 2.12 to 3.18 to 4.24, if you subtract any element of the series from the next element, you'll get 1.06, that's the constant of progression. In this case, 1.06.

7. Which is the direct variation equation for the table in question 5 using "s" for sale price and "T" for total price?

So, if we look at the data, we have the following relationship:

sale 1.00, total 1.06

sale 2.00, total 2.12

sale 3.00, total 3.18

sale 4.00, total 4.24

What relation can we establish based on that?   What's the relation between the total price and the sale price?  Take any set, and divide the total by the sale...

Let's take 3.18 / 3.00 = 1.06, and it works the same for all other total/sale.

So, the relation is 1.06.  You have to multiply the sale amount by 1.06 to get the total amount (which includes tax).

so, T = 1.06s

A. t - 2d = -240 t - d = 320

Step-by-step explanation:

Let t be the price of a lawn mower at Turf Cutters and d be the price of the  same lawn mower at Lawn Masters.

As per given , we have

The price, t, of a lawn mower at Turf Cutters is $240 less than twice the price, d, of the same lawn mower at Lawn Masters.

The difference in price between the mower at Turf Cutters and Lawn Masters is $320.

So, the system of equations can be used to determine the price of the mower at each store is

Hence, the correct option is "A."

The table shows the results of (p ^ q) and results of  (p ^ r) for all possible outcomes. We have to tell which of the outcomes of union of both these events will always be true.

(p ^ q) V (p ^ r) means Union of (p ^ q) and (p ^ r). The property of Union of two sets/events is that it will be true if either one of the event or both the events are true i.e. there must be atleast one True(T) to make the Union of two sets to be True. 

So, (p ^ q) V (p ^ r)  will be TRUE, if either one of  (p ^ q) and (p ^ r)  or both are true. From the given table we can see that only the outcomes A, B and C will result is TRUE. The rest of the outcomes will all result in FALSE.

Therefore, the answer to this question is option 2nd