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eduard
3 years ago
15

The average cost for a gallon of gasoline increased from $2.56 one year to $3.18 the next year. What is the percent of increase,

rounded to the nearest whole number?
A.) 19%

B.) 24%

C.) 26%

D.) 29%
Mathematics
2 answers:
Kitty [74]3 years ago
7 0
From 2.56 to 3.18; 3.18-2.56=0.62 increased 
so if 2.56 represented 100%
       0.62 represents     ? %
cross multiply 
?%= 0.62·100/2.56=24.21875 which rounded to the nearest whole is 24%
Answer is B).
pav-90 [236]3 years ago
3 0

Answer: B.) 24%

Step-by-step explanation:

Given : The average cost for a gallon of gasoline increased from $2.56 one year to $3.18 the next year.

Increase in cost ( in dollars) = 3.18-2.56=0.62

The formula to find the percent decrease :-

\dfrac{\text{Increase in cost}}{\text{Previous cost}}\times100\\\\=\dfrac{0.62}{2.56}\times100\\\\=24.21875\approx24\%\ \ \text{[Rounded to the nearest whole percent.]}

Hence, the percent of increase = 24%

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Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume (V) is calculated by:

V = \frac{4\pi}{3}\cdot R^{3}

Where R is the radius of the tumor.

The percentage decrease in the volume of the tumor (\%V) is expressed by:

\%V = \frac{\Delta V}{V_{o}} \times 100\,\%

Where:

\Delta V - Absolute decrease in the volume of the tumor.

V_{o} - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

\Delta V = V_{o}-V_{f}

\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})

The percentage decrease is finally simplified:

\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%

Given that R_{o} = R and R_{f} = 0.77\cdot R, the percentage decrease in the volume of tumor is:

\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%

\%V = 54.34\,\%

The volume of the tumor experimented a decrease of 54.34 percent.

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