A water pipe leak floods 50 square feet every 1/5 minute. what is the flooded area after 6 minutes.

2 answers:

3 0

$\bf \begin{array}{ccll} ft^2&minute\\ \cline{1-2} 50&\frac{1}{5}\\\\ x&6 \end{array}\implies \cfrac{50}{x}=\cfrac{~~\frac{1}{5}~~}{6}\implies \cfrac{50}{x}=\cfrac{~~\frac{1}{5}~~}{\frac{6}{1}}\implies \cfrac{50}{x}=\cfrac{1}{5}\cdot \cfrac{1}{6} \\\\\\ \cfrac{50}{x}=\cfrac{1}{30}\implies 1500=x$

Crazy boy [7]2 years ago

3 0

Answer:

60 square feet.

Step-by-step explanation:

Given : a water pipe leak floods 50 square feet every 1/5 minute.

To find : what is the flooded area after 6 minutes.

Solution : We have given

In $\frac{1}{5}$ minute water pipe leak flood = 50 square feet.

In 1 minute water pipe leak flood = 50 * $\frac{1}{5]$ .

In 1 minute water pipe leak flood = 50 * $\frac{1}{5}$ * 6 square feet.

In 1 minute water pipe leak flood = 10 * 6 square feet.

In 1 minute water pipe leak flood = 60 square feet.

Therefore,

60 square feet.

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Triss [41]

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6 0

2 years ago

How much money, as a one-time deposit, PV, would you need to deposit into an account that earns 1.5% compounded monthly to earn

Karolina [17]

Answer:

The amount needed as a one-time deposit to earn $7,500 in 3 years is <em>$4388.17</em>

Step-by-step explanation:

<u>Basic Finance Formulas </u>

One of the most-used formulas to compute present and future values is

$FV=PV(1+r)^{n}$

Where FV is the future value, PV is the present value, r is the interest rate and n is the number of periods. It's vital to keep in mind that r and n must be referred to the same compounded time, e.g. r is compounded monthly and n is expressed in months

The question requires to compute the PV needed as a one-time deposit to earn a future value of $7,500 in 3 years at a 1.5% rate compounded monthly.

FV=7,500

r=1.5%=0.015

n=3*12=36 months

We converted n to months because r is compounded monthly . The formula

$FV=PV(1+r)^{n}$

must be managed to make PV isolated

$PV=FV(1+r)^{-n}$