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meriva
2 years ago
13

Find the 9th partial sum of the geometric sequence an=43n–1.

Mathematics
1 answer:
siniylev [52]2 years ago
7 0

Answer:

39364.

Step-by-step explanation:

I guess its an = 4*(3)^(n-1)

r = 3, a1 = 4 and n = 9

Sum of n terms = a1 * (r^n - 1) / (r - 1)

so S9 = 4 *(3^9 - 1) / (3 - 1)

= 4 * (19683  - 1) / 2

= 78728/2

= 39364.

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Answer:

  Store A has a better deal because $402.90 is less than $404.10.

Step-by-step explanation:

<u>Store A</u>

The $25 off coupon reduces the price to ...

  $499 - 25 = $474

The discount from this amount is 15%, so is ...

  $474 × 0.15 = $71.10

The final amount paid is then ...

  $474.00 -71.10 = $402.90

(<em>Side note</em>: you can select the correct answer at this point, because only one answer shows this value.)

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<u>Store B</u>

After the $20 off coupon, the price is ...

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The additional 10% discount amounts to ...

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Now, you know that Store A offers the better price because $402.90 is less than $404.10.

6 0
3 years ago
In which months were the expenses greater than the income? Name the month and find how much money was lost.
Liono4ka [1.6K]
 expenses is greater in Jan and Feb

Jan −85.6 Loss
   
Feb −162.44 Loss    

Mar 0 

June 306.77 Gain

July 301.5 Gain

Aug 337.88 Gain


5 0
3 years ago
Read 2 more answers
Johnny makes $8.25 an hour working at the local restaurant. His paycheck shows that he works 29.5 hours over the past week. How
svetlana [45]

To do this you can do (pay) x (hours) to work out how much Johnny makes for example:

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3 years ago
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Shelly and Steve buy prepaid phone
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Answer:

Steve

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5 0
3 years ago
In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th.
lawyer [7]

Answer:

Solution given:

Y=90°

∠X=73°.

∠ZWY=80°

and XW=80.

ZY=?

We know that

In right angled triangle ∆ XYZ

Tan 73=\frac{p}{h}

3.27=\frac{yz}{xy}

3.27×[xy]=yz

xw+wy=\frac{yz}{3.27}

wy=\frac{yz}{3.27}-80...........(1)

again

In right angled triangle WYZ

Tan 80=\frac{yz}{wy}

5.67×wy=yz

wy=\frac{yz}{5.67}

yz=5.67×wy............................................(2)

E<u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>n</u><u>g</u><u> </u><u>equation</u><u> </u><u>1</u><u>&</u><u>2</u>

\frac{yz}{5.67}=\frac{yz}{3.27}-80

\frac{yz}{3.27}-\frac{yz}{5.67}=80

5.67yz-3.27yz=80*5.67*3.27

2.4yz =1483.272

yz=\frac{1483.272}{2.4}

yz=618.03

:.y=618.03unit.<u>the length of ZY to the nearest 100</u><u>th</u><u> </u><u>is</u><u> </u><u>6</u><u>1</u><u>8</u><u>.</u>

8 0
3 years ago
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