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Nitella [24]
3 years ago
14

Find the future value of the annuity due for $200 deposited at the beginning of each quarter for 12 years at 7% compounded quart

erly.
Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0
200*(107%)^x

x is the number of quarters that passed.
each year has 4 quarters, so 12 yaers would have: 12*4 = 48 quarters

200*(107%)^48 = 5146
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The vertices of triangle RST are R (-7, 5), S(17, 5), T(5, 0). What is the perimeter of triangle RST?
MaRussiya [10]

~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ R(\stackrel{x_1}{-7}~,~\stackrel{y_1}{5})\qquad S(\stackrel{x_2}{17}~,~\stackrel{y_2}{5}) ~\hfill RS=\sqrt{(~~ 17- (-7)~~)^2 + (~~ 5- 5~~)^2} \\\\\\ ~\hfill RS=\sqrt{( 24)^2 + ( 0)^2}\implies \boxed{RS=24} \\\\\\ S(\stackrel{x_1}{17}~,~\stackrel{y_1}{5})\qquad T(\stackrel{x_2}{5}~,~\stackrel{y_2}{0}) ~\hfill ST=\sqrt{(~~ 5- 17~~)^2 + (~~ 0- 5~~)^2}

~\hfill ST=\sqrt{( -12)^2 + ( -5)^2}\implies \boxed{ST=13} \\\\\\ T(\stackrel{x_1}{5}~,~\stackrel{y_1}{0})\qquad R(\stackrel{x_2}{-7}~,~\stackrel{y_2}{5}) ~\hfill TR=\sqrt{(~~ -7- 5~~)^2 + (~~ 5- 0~~)^2} \\\\\\ ~\hfill TR=\sqrt{( -12)^2 + (5)^2}\implies \boxed{TR=13} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{\LARGE perimeter}}{24~~ + ~~13~~ + ~~13\implies \text{\LARGE 50}}~\hfill

3 0
1 year ago
Plz help asap.. I have no clue how to do this.
ANTONII [103]

Answer:

Tn=a + (n-1)d

a= first term = 14

n= This is the term you're looking for... In this case... That's the 73rd term

d=Common difference (since its an AP)

d= second term - first term -- Or 3rd term - 2nd term = 23-14

d=9

T = 14 + (73-1)9

T= 14 + (72)9

T= 14 + 648

T=662.

4 0
3 years ago
Read 2 more answers
Enter the enter the first four terms of the sequence defined by the given rule assume that the domain of each function is the se
Gelneren [198K]

Answer:

  {1, -9, 56, -269}

Step-by-step explanation:

Evaluate the rule for n=2, 3, and 4 in sequence.

For n=2

  f(2) = (-5)f(1) +11 = (-5)(4) +11 = -9

  f(3) = (-5)f(2) +11 = (-5)(-9) +11 = 56

  f(4) = (-5)f(3) +11 = (-5)(56) +11 = -269

The first four terms of the sequence are {1, -9, 56, -269}.

3 0
3 years ago
Brooke cooked a 4/1/3-pound lasagna in 1/1/3 hours. How many hours per pound did it take to cook the lasagna?
Hitman42 [59]

Answer:

4/13 hours

Step-by-step explanation:

Total pounds of lasagna = 4 1/3 pounds

Total time taken to cook = 1 1/3 hours

How many hours per pound did it take to cook the lasagna?

Hours per pound of lasagna = Total time taken to cook / Total pounds of lasagna

= 1 1/3 hours ÷ 4 1/3 pounds

= 4/3 ÷ 13/3

= 4/3 × 3/13

= 4/13 hours

It will take 4/13 hours to cook each pound of the lasagna

3 0
4 years ago
Which sentence from the passage tells the reader how the setting has affected the narrator?
allochka39001 [22]

Answer:

The setting has affected the narrator because it tells you where it's going to take place CAN I HAVE BRAINLIEST SO I CAN BE VIRTUSSO

Step-by-step explanation:

4 0
3 years ago
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