The equation k(x+1)^2/3+(y+2)^2/4=1 represent circle if

torisob [31]

45 + 4 makes 49 if that counts

6 0

3 years ago

Sterre charges $ 3 5 $35dollar sign, 35 to file tax returns, but files for free if she only needs the easiest form. Then she don

blagie [28]

Given:

$35 is charged per form, but $0 if only the easiest form is filed.
$2 donated for every single tax return filed (since it is not explicitly mentioned otherwise, I will assume she donates $2 whether she charges $35 or does it for free)
Total amount charged for the full year = $7245
Total amount donated for the full year = $1242

To Find: The number of forms for which Sterre charged $35 and the number of forms Sterre did it for free.

Concept:

We can make use of the Unitary Method here. Given the number of units in a group, the Unitary Method can be used to find the value of a single unit or and individual unit when we are given the value for a group.

So,

Value of Single Unit = Value of Entire Group of Units ÷ Number of Units in the Group

Explanation & Calculation:

We are given that Sterre charged $7245 for the full year. Taking each Unit as the $35 type of form, and value of each Unit would be the amount that Sterre charges per form which is obviously $35, we can find the number of $35 forms using the expression written above.

So, putting in the values into the expression,

$35 = $7245 ÷ number of $35 forms

Therefore, number of $35 forms = $7245 ÷ $35

Using simple division, number of $35 forms = 207

Next, we are given Sterre donated $1242 in the full year and she donates $2 for every form (whether it is the $35 form or the free form).

If this time, we define each Unit as being each form (both $35 form and free form), value of each unit we define as the $2 donation money, we see that the value of the full group of units is $1242.

So, putting the values into the expression,

$2 = $1242 ÷ total number of forms

Therefore, total number of forms = $1242 ÷ $2

Using simple division, total number of forms = 621

Conclusion:

Sterre has filed a total of 621 tax returns (both charged and for free).

Of these 621 returns filed, for 207 forms, Sterre charged $35.

The number of returns Sterre filed for free (that is, the easiest forms) is

Total number of forms - Chargeable forms = 621 - 207 = 414

Thus, Sterre filed 414 tax returns for free.

8 0

3 years ago

You are scheduling a new delivery route and you need to find out how long it would take a drive out to complete the route you st

larisa [96]

The delivery route took 4 hours and 15 minutes.

Because 9:50 + 4 hours is 1:50

1:50 + 15 minutes is 2:05

Hope this helps! Have a great rest of your day :)

7 0

3 years ago

Goods are purchased for ₹1500. If one fifth of the goods sold at a profit of 5% and the remaining four-fifth of the goods at a p

Tpy6a [65]

Answer:

9%

Step-by-step explanation:

Cost of 1/5 good = 1500*1/5= 300

Profit= 5%

SP = (profit+100)/100*CP

SP= (5+100)/100*300

SP = 105/100*300

SP= 1.05*300= 315

Cost of 4/5 good = 1500*4/5= 1200

Profit= 10%

SP= (profit+100)/100*CP

SP= (10+100)/100*1200

SP = 110/100*1200

SP= 1.10*1200= 1320

Total SP = 315+1320= 1635

Net profit= 1635-1500= 135

Profit% = 135/1500*100%

Profit% = 0.09*100%

Profit% = 9%

6 0

2 years ago

Read 2 more answers

Y=-x y=-7x solve system of equations algebraically

snow_lady [41]

Answer:

(x,y) = (0,0)

Step-by-step explanation:

Let both as equation (1) and (2)

put equal both sides -x = -7x

-x + 7x = 0

6x = 0

x = 0

put it in 2nd equation

y = -7(0)

y = 0

5 0

2 years ago

The equation k(x+1)^2/3+(y+2)^2/4=1 represent circle if​

The equation k(x+1)^2/3+(y+2)^2/4=1 represent circle if