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dangina [55]
3 years ago
5

how do I find the surface area of a square pyramid if the length is 11mm and the slant height is 13mm?

Mathematics
1 answer:
melamori03 [73]3 years ago
6 0

Answer:

407mm²

Step-by-step explanation:

the triangle face is 1/2(11)(13) = 71.5

there are 4 triangle faces so 71.5 x 4 = 286

plus the bottom, 11 * 11 = 121

286+121=407mm²

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You have $36,948.61 in a brokerage account, and you plan to deposit an additional $3,000 at the end of every future year until y
Luba_88 [7]
Current amount in account
P=36948.61

Future value of this amount after n years at i=11% annual interest
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F1+F2=280000
=>
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We can solve this by trial and error.


The rule of 72 tells us that money at 11% deposited will double in 72/11=6.5 years, approximately.
The initial amount of 36948.61 will become 4 times as much in 13 years, equal to approximately 147800 by then.
Meanwhile the 3000 a year for 13 years has a total of 39000.  It will only grow about half as fast, namely doubling in about 13 years, or worth 78000.
Future value at 13 years = 147800+78000=225800.
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So our first guess is 15 years, and calculate the target amount
=36948.61(1.11)^15+3000(1.11^15-1)/0.11
=280000.01, right on.

So it takes 15.00 years to reach the goal of 280000 years.
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