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elena55 [62]
2 years ago
14

Andros has an oil fired heating system. In 30 days period he used a full tank of oil at a constant rate per day . At a different

time of the year the amount of oil andros uses per day is 1/3 of the rate used in 30 days period . How many days should a full tank of oil last at this new rate
Mathematics
1 answer:
Alexandra [31]2 years ago
8 0

Answer:

90 days

Step-by-step explanation:

Let the rate per day for the 30 days period be x

Given that the rate drops to 1/3 of the rate used in 30 days period, it means that the new rate

= 1/3 x

If at a rate of x, the full tank runs for 30 days

at a rate of 1/3 x, the full tank would run for

= x/ (1/3 x) * 30 days

= 3 * 30 days

= 90 days

At the new rate, the full tank of oil will last for 90 days

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3 years ago
If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance
Tomtit [17]

Answer:

a) Interest earned = $36

New Balance  = $336

b) Interest rate  = 0.05 or 5%

New Balance = $517.5

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d) Principal Amount = $675

New Balance =  $783

Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

Interest earned = ?

The formula used is: Simple \ Interest (I)= P\times r\times t

Putting values and finding interest

Simple \ Interest (I)= P\times r\times t\\Simple \ Interest (I)= 300\times 0.03\times 4\\Simple \ Interest (I)= 36

So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: Simple \ Interest (I)= P\times r\times t

Putting values and finding rate

Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%

So, Interest rate  = 0.05 or 5%

New Balance = Principal + Interest = 450+67.50 = $517.5

c) Principal (P) = $500

Rate (r) = 4.5% or 0.045

Time (t)= ?

Interest earned = $112.50

The formula used is: Simple \ Interest (I)= P\times r\times t

Putting values and finding time

Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

d) Principal (P) = ?

Rate (r) = 8% or 0.08

Time (t)= 2 years

Interest earned = 108.00

The formula used is: Simple \ Interest (I)= P\times r\times t

Putting values and finding Principal

Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675

So, Principal Amount = $675

New Balance = Principal + Interest = 675+108 = $783

8 0
3 years ago
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