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Nataly [62]
2 years ago
13

Help i’m so confused on this question

Mathematics
2 answers:
Sav [38]2 years ago
5 0

Answer:

12:30 PM

Step-by-step explanation:

In 2 hours (8:30 AM and 10:30 AM) she filled half of the full pond.

So to fill the other half we double how long it has taken her to do the first half assuming she doesn't stop. Therefore, the answer will be 12:30 PM

MAKE SURE TO WRITE PM AS IT IS AT MIDDAY

Nuetrik [128]2 years ago
5 0

Answer:

Hello, the pool will be full at 12:30 PM. 1200 gallons is half of the capacity of the pool (2400), and the pool was half full at 10:30 AM after being run since 8:30 AM - two hours. This means that the pool will only need two more hours to fill up, and it will be full at 12:30 in the afternoon.

Have a great day! - Mani :)

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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
F1=P(1+i)^n
=36948.61(1.11)^n

Future value of $3000 annual deposits after n years at i=11%
F2=A((1+i)^n-1)/i
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We'd like to have F1+F2=280000, so forming following equation:
F1+F2=280000
=>
36948.61(1.11)^n+3000(1.11^n-1)/0.11=280000

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.
That will take approximately 2 more years, or 225800*1.11^2=278000.

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.

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8 0
3 years ago
(11x + 8) + (8x + 12) =27
Tju [1.3M]

Answer:

11x + 8 +8x +12 =27  (drop the parenthesis, there's no actual need for them)

19x +20 =27 (i combined like terms and then subtracted 20 from both sides)

19x = 7  (divide both sides by 19 to get x alone)

x= 7/19 or 0.36842105 (the answer)

Step-by-step explanation:

7 0
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