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MrMuchimi
3 years ago
10

A bucket holds 121.4 ounces (oz) of water when full. The bucket loses 0.04 oz of water per second. In how many seconds will the

bucket be 60% full?
Mathematics
1 answer:
Lina20 [59]3 years ago
7 0

We have been given that a bucket holds 121.4 ounces (oz) of water when full.

Further, we know that the bucket loses 0.04 oz of water per second.

We need to find the time when bucket will be 60% of its full volume.

Let us first find 60% of its full volume:

121.4\times \frac{60}{100}=72.84

If we assume that bucket will be 60% of its full volume after x seconds, we can set up an equation:

121.4-0.04x=72.84\\0.04x=121.4-72.84\\0.04x=48.56\\x=1214

Therefore, it will take the bucket 1214 seconds to get to 60% of full.


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Harrison and Sherry are making decisions about their bank accounts Harrison wants to deposit $200 as a principal amount with an
AlekseyPX

Answer:

Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.

Step-by-step explanation:

We use the Total Amount generated using compound interest formula to solve this question

Formula =

Total Amount(A) = P(1 + r/n)^nt

a) For Harrison

Principal = $200

Interest rate = 2% = 0.02

Time = 2 years

n = compounding quarterly = 4

A = P(1 + r/n)^nt

A = $2,000(1 + 0.02/4)^2×4

A = $2,000(0.005)^8

A = $ 2081.4140878

A = $ 2,081.41

b) For Sherry

Principal = $200

Interest rate = 4% = 0.04

Time = 2 years

n = compounding monthly = 4

A = P(1 + r/n)^nt

A = $2,000(1 + 0.04/12)^2×12

A = $2166.2859184

A = $ 2,166.29

The Total Amount for

Harrison = $ 2,081.41

Sherry = $ 2,166.29

Hence, from the above calculation, Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.

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