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EastWind [94]
3 years ago
12

I won a sweepstakes and will receive money every week for 52 weeks. The first week, I will receive $500 and every week after tha

t I will receive $50 more than I received the previous week. How much money will I receive over the course of the 52 Weeks?
25 Points.
Mathematics
1 answer:
krok68 [10]3 years ago
7 0

Answer:

$3100

Step-by-step explanation:

You can determine this by multiplying 52 by 50, because you get 50 dollars for 52 weeks, then add 500 to it, because you get 500 dollars at first. 52 times 50 is equal to 2600, and 2600 + 500 is equal to 3100. You will receive $3100 over the course of 52 weeks.

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F(x)=-x^2+8x+15 ...?
rusak2 [61]
Here i how I would do it:<span>f(x)=−<span>x2</span>+8x+15</span>
set f(x) = 0 to find the points at which the graph crosses the x-axis. So<span>−<span>x2</span>+8x+15=0</span>
multiply through by -1<span><span>x2</span>−8x−15=0</span> <span>(x−4<span>)2</span>−31=0</span> <span>x=4±<span>31<span>−−</span>√</span></span>
So these are the points at which the graph crosses the x-axis. To find the point where it crosses the y-axis, set x=0 in your original equation to get 15. Now because of the negative on the x^2, your graph will be an upside down parabola, going through<span>(0,15),(4−<span>31<span>−−</span>√</span>,0)and(4+<span>31<span>−−</span>√</span>,0)</span>
To find the coordinates of the maximum (it is maximum) of the graph, you take a look at the completed square method above. Since we multiplied through by -1, we need to multiply through by it again to get:<span>f(x)=31−(x−4<span>)2</span></span><span>
Now this is maximal when x=4, because x=4 causes -(x-4)^2 to vanish. So the coordinates of the maximum are (4,y). To find the y, simply substitute x=4 into the equation f(x) to give y = 31. So it agrees with the mighty Satellite: (4,31) is the vertex.</span>
8 0
3 years ago
Can someone please answer. There is one problem. There's a picture. Thank you!
statuscvo [17]
Tan(-180)=0 the answer is 0.
6 0
3 years ago
Determime the measures of angles X,y and Z
Ierofanga [76]

Answer:

X = 75°

Y = 105°

Z =75

Step-by-step explanation:

8 0
3 years ago
Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month,
Ray Of Light [21]

Answer:

B) Victoria's method is linear because the number of minutes increased by an equal number every month.

Step-by-step explanation:

Zach reading time written in sequence form is given as:

  • 10,20,40,80,...
  • Each succeeding term is a product of the previous term by 2

Victoria reading time written in sequence form is given as

  • 35,50,65,80...
  • Each succeeding term is an addition of 15 Minutes to the previous term.

The statement that best describes the methods used by Zach and Victoria to increase the time they spent reading a book is therefore:

B) Victoria's method is linear because the number of minutes increased by an equal number every month.

6 0
3 years ago
John Gray bought a basic car for $8,250.00, with options that cost $324.00. There's a 6% sales tax in his state and a combined $
Crank
Cost of the basic car bought by John Gray = $8250
Optional cost incurred after buying = $324
Total cost before tax = 8250 + 324
                                 = $8574 
Percentage of sales tax incurred = 6%
Amount of sales tax charged = (6/100) * 8574
                                               = $514.44
License and registration fees paid = $50
John's total cost = 8250 + 324 + 514.44 + 50
                          = 9138.44 dollars
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the first option or option "A".
6 0
3 years ago
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