A population of rodents increases exponentially at a rate of 7.5% per year.

What is the equivalent monthly rate to the nearest hundredth of a percent?

0.03%

0.60%

0.62%

0.81%

A population of butterflies decreases exponentially at a rate of 18.3% per year.

What is the equivalent monthly rate to the nearest hundredth of a percent?

1.27%

1.41%

1.53%

1.67%

Question

14-12-2017
Mathematics

contestada

A population of rodents increases exponentially at a rate of 7.5% per year.

What is the equivalent monthly rate to the nearest hundredth of a percent?

0.03%

0.60%

0.62%

0.81%

A population of butterflies decreases exponentially at a rate of 18.3% per year.

What is the equivalent monthly rate to the nearest hundredth of a percent?

1.27%

1.41%

1.53%

1.67%

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ahmedishaal ahmedishaal · Answer 1 · 2017-12-22T19:13:42+01:00

1. the answer is "0.62%".
We can calculate this as;
Rate = 7.5% per year
there are 12 months in a year so,
= 7.5/ 100 x 1/12
=0.075 x 1/12
= 0.00625
for percentage multiply it with 100,
= 0.00625 x 100
=0.625% = 0.62%
2.the answer is "1.53%".
We can calculate this as;
Rate = 18.3% per year
there are 12 months in a year so,
= 18.3/ 100 x 1/12
=0.183 x 1/12
= 0.01525
for percentage multiply it with 100,
= 0.01525 x 100
=1.525% = 1.53%