A state lotto has a prize that pays $1,600 each week for 20 years.

The total value of the prize: $1,664,000

If the state can earn 9% interest on investments, how much money will they need to put into an account now to cover the weekly prize payments?

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I'm so stuck on this question! I've tried every single formula I can remember from the textbook, but I just don't get it! Apparently the answer is "$771,396.86" but I can't for the life of me understand how! Please help!

Answer:

a) 5151 b) 249001 c)24651 d)43561

Step-by-step explanation:

a) a1=1 a2=2

d=a2-a1= 2-1=1

Define the quantity of the terms of this sequence

an=a1+d(n-1)

101= 1+ 1(n-1)

n=101

Sn= (a1+an)/2*n=( (1+101)/2)*101=51*101=5151

b) a1=1  a2=3

d=a2-a1=3-1=2

an=a1+d(n-1)

997= 1+ 2(n-1)

498= n-1

n=499

Sn= (a1+an)/2*n= (1+997)/2*499= 249001

c) a1=4 a2=9

d=a2-a1=9-4=5

an=a1+d(n-1)

494=4+5(n-1)

n=99

Sn= (a1+an)/2*n=( 4+494) /2*99= 498/2*99= 249*99= 24651

d) a1=881, a2=872

d=a2-a1= 872-881=-9

an= a1+d(n-1)

8=881-9*(n-1)

9(n-1)= 873

n=98

Sn= (a1+an)/2*n= (881+8)/2*98= 889*49= 43561

Hi there!  

»»————-　★　————-««

I believe your answer is:  

Irrational

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻[tex]\rightarrow \sqrt{95} = 9.74679...\\\\\text{This does \textbf{NOT} simplify into a whole number. This means that it's not a perfect square.}\\\\\text{Since } \sqrt{95} \text{ is not a perfect square, it is \textbf{irrational.}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

3rd Choice

Step-by-step explanation:

The third answer choice is correct, remember that a shape is not a rectangle or square if it doesn't have four 90 degree angles.

Answer:

Some things you must have in order to be that certain profession is:

Accounts receivable (order to cash)

Accounts payable (procure to payment)

Financial close.

Time and expense capture.

Fund accounting.

Project accounting.

Revenue recognition and management.

Step-by-step explanation:

If need anything else let me know, if not pls mark me as brainliest :)

Answer:

9.857142857 ft

Step-by-step explanation:

We can use a ratio to solve

23 ft shadow        14 ft shadow

--------------------  = ---------------

x ft high                 6 ft high

Using cross products

23*6 = 14 * x

Divide each side by 14

23*6/14 = x

9.857142857 ft

Answer: 25650

Step-by-step explanation: 10% of 28500 is well 2850

28500-2850=25650

(if only i could get good rates on my car)

Trigonometry (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.

Answer:

Step-by-step exA wall is 1200 sq ft.

A gallon of paint covers 200 sq ft.

Complete the conversion factor: 1 gallon / ? sq ftplanation:

Answer:

7

Step-by-step explanation:

f(x) = 3x+1

f(2)  means let x=2

f(2) = 3(2)+1

     = 6+1

     =7

[tex]\\ \sf\longmapsto f(2)[/tex]

[tex]\\ \sf\longmapsto 3(2)+1[/tex]

[tex]\\ \sf\longmapsto 6+1[/tex]

[tex]\\ \sf\longmapsto 7[/tex]

Answer:

okbhyuugggfububububhhhukjgyi

Answer:

[tex]y=\frac{1}{3} x+7.[/tex]

Step-by-step explanation:

all the detail are in the attached picture, here is the short explanation step-by-step:

1) to select the values of slope and interception from the given equation;

2) using the rule of parallel lines to find the slope of the required line;

3) to write the required equation (the value of slope is known, the value of interception is inknown);

4) to calculate the unknown value of interception of the required equation after the substitution the coordinates of the point in the condition;

5) to make up the required equation using calculated slope and interception.

Step-by-step explanation:

hope you understand.

first simplify it by arranging correct signs then it's just subtraction or addition.

Opportunity cost is the cost of the alternative forgone;

The cost of Maria spending more time on her studies is the wages from working in the kitchen which she does not earn and vice versa

The correct values are as follows:

a. The maximum wages Maria could earn is $130

b. The grades she can expect if she works 10 hours each week is grade C

c. She should make a decision to either quit school or quit her job

d. To become a pharmacists, she should study more and quit her job

To become a restaurant owner/manager, she should develop her restaurant/managerial skills more at the

The reason for the above responses are as follows:

The known parameters are:

The number of hours of free time Maria has each day = 4 hours

The activities Maria can use the four hours for = Studying or working at the Wang's Chinese kitchen

The amount she can earn per hour working = $6.50 per hour

Question a. Required;

The maximum wages Maria could earn working 5 days a week

Solution;

Taking the each unit on the horizontal axis of the attached graph as one day. There are 5 units which equal 5 days

if she works for the five days, she spends all the available time working and she earns maximum wage on the graph which is $130The maximum wages Maria could earn if she works five days a week = $130

b. Required:

The grade she can expect by working 10 hours a week

Solution:

The number of hours available each week = 5 × 4 hours = 20 hours

If she works 10 hours each week, she spends the remaining 10 hours studying which is half of her available time

The grades she can expect by working 10 hours each week (half of her spare time) is giving by the value of the graph at the middle of the of half the length of the horizontal axis values which is grade C

c. Required:

The advice for Maria if she is earning $50 each week and is making Ds

Solution:

If Maria is earning $50 each week, the number of days she is working = One day

The number of days she spends reading = 4 days

In order to improve her grades, she should increase the number of days she spends reading, and therefore, she should spend more than 4 days or the 5 days reading and she should stop working and forgo the $50 for a grade C

Therefore;

Maria has to make a decision to either quit school or quit her job

d. Part of the question that can be included as seen from a similar question online is as follows;

The advice for her if she is interested in becoming a pharmacists or a restaurant owner/manager

If she is interested in becoming a pharmacist, she should stop working and focus on her studies; Quit her job

If she interested in becoming a restaurant owner or manager, she should spend less time reading and spend much of her time at the Wang's Chinese kitchen to develop are restaurant business skills;

Learn more about the production possibility curve here:

here;https://brainly.com/question/15520789

The information about the path is incomplete, so I'll just use a domain of a ≤ t ≤ b, where a > 0 and b < ∞.

Differentiating r(t) gives

[tex]\vec r(t) = 2t\,\vec\imath + 2t\,\vec\jmath + t\,\vec k \implies \dfrac{\mathrm d\vec r(t)}{\mathrm dt} = 2\,\vec\imath + 2\,\vec\jmath + \vec k[/tex]

with magnitude √(2² + 2² + 1²) = √5.

Then we have

[tex]\displaystyle \int_C f(x,y,z)\,\mathrm ds = \int_a^b f(2t,2t,t) \left\|\frac{\mathrm d\vec r(t)}{\mathrm dt}\right\| \,\mathrm dt \\\\= \sqrt5 \int_a^b \frac{2t+2t+t}{(2t)^2+(2t)^2+t^2}\,\mathrm dt \\\\ = \sqrt5 \int_a^b \frac{5t}{5t^2} \,\mathrm dt \\\\ = \sqrt5 \int_a^b \frac{\mathrm dt}t \\\\ = \sqrt5 (\ln(b)-\ln(a)) = \boxed{\sqrt5 \ln\left(\frac ba\right)}[/tex]

Answer:

4. 1/25

5. 1/16

6. 2/9

7. 5/567

8. 1/40

9. 2/175

10. 1/30

11. 2/5

12. 9/8

13. 4/3

14. 1

Step-by-step explanation:

sorry I only know how to do 4-14. I hope this helps you.

Answer: D. n > -4

Step-by-step explanation:

Given

-3n < 12

Divide both sides by -3. REMEMBER to change the [>,<] signs when multiplying or dividing a negative term

-3n / -3 > 12 / -3

n > -4

Hope this helps!! :)

Please let me know if you have any questions

Hey there! I'm happy to help!

Inequalities are solved like normal equations with a few extra rules.

So, we could simply divide both sides by -3 to get our answer, but n<-4 would actually be incorrect. With inequalities, dividing by a negative number means you have to flip the inequality sign. This is because you turn the other side negative so you need to adjust the inequality sign to match it.

So, our final answer will actually be n>-4.

Have a wonderful day and keep on learning! :D

Answer:

her goal is to have money 21250

I hope it helps u

Answer:

-x + 5x - 2x + 7

=-3x+5x+7

=2x+7

Answer:

according to the dark spots which shows where each number goes to, it would be D.-2

[tex]\\ \sf\longmapsto Perimeter=2(L+B)[/tex]

[tex]\\ \sf\longmapsto Perimeter=2(16+8)[/tex]

[tex]\\ \sf\longmapsto Perimeter=2(24)[/tex]

[tex]\\ \sf\longmapsto Perimeter=48cm[/tex]

Area:-

[tex]\\ \sf\longmapsto Area=Length\times Breadth[/tex]

[tex]\\ \sf\longmapsto Area=8(16)[/tex]

[tex]\\ \sf\longmapsto Area=128cm^2[/tex]

Answer:

n1= -4

n2= 1

n3= 6

Step-by-step explanation:

the n column represents the numbers that are in n's place

eg n=1

n=2

n=3

5x1 - 9

5x2 -9

5x3 -9

Answer and Step-by-step explanation:

What this question wants you to do is fill out the right side (or the outputs) of the table.

To do this, plug in the value of n into the equation and solve.

n = n, 5n - 9

n = 1, 5(1) - 9 = -4

n = 2, 5(2) - 9 = 10 - 9 = 1

n = 3, 5(3) - 9 = 15 - 9 = 6

So, the values (in bold) should go into the table as so:

1    | -4

2   |  1

3   |  6

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

D. On sale at 60% of the original price

Step-by-step explanation:

That just means they are taking off 40% off the original price.

I hope this helps!

pls ❤ and mark brainliest pls!

100-20=80%=400

[tex]\\ \rm\longmapsto 80\%\:of\:CP=400[/tex]

[tex]\\ \rm\longmapsto CP=400\times \dfrac{100}{80}[/tex]

[tex]\\ \rm\longmapsto CP=5(100)[/tex]

[tex]\\ \rm\longmapsto CP=500[/tex]

Step-by-step explanation:

Given,

S.p.=Rs400

Loss percent(L%) =20%

C.p.=?

We know,

S.p. =(100-L) % of c.p.

or,400=(100-20)% *c.p.

or,400=80% *c.p.

or, 400=80/100*c.p.

or,c.p.=Rs.500

Here, c.p.=Rs.500

Answer and Step-by-step explanation:

To round to the nearest whole number, you look at the number in the tenths place.

- If this number is 5 and higher, then you round up (the number to the left of the tenths place [the ones place]).

- If it is lower than 5, then the number (in the ones place) stays the same.

9 is greater than 5, so we round up.

9,910 is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Step-by-step explanation:

x - 5 = -4x - 5

x + 4x = -5 + 5

5x = 0

x = 0/5

x = 0

A. x = 0

B. Yes, 0 is a real number

C. There is a solution