An advertising agency conducted a survey and found that the number of units sold, N, is related to the amount a spent on advertising (in dollars) by the following formula:
N = 1,500 + 200 ln a (a ¡Ý 1)How many units are sold after spending $1,000? (Round your answer to the nearest whole number.)
just plug in a=1000:
N = 1500 + 200 ln1000 = 2882
An advertising agency conducted a survey and found that the number of units sold, N, is related to the amount a spent on advertising (in dollars) by the following formula:
N = 6,500 + 200 ln a (a ≥ 1)
How many units are sold after spending $1,000? (Round your answer to the nearest whole number.)
units
7882
2882
To calculate the number of units sold after spending $1,000 on advertising, we will substitute the value of a = 1,000 into the formula provided.
N = 1,500 + 200 ln a
Substituting a = 1,000:
N = 1,500 + 200 ln 1,000
Now we need to evaluate the natural logarithm (ln) of 1,000 using a calculator.
ln 1,000 ≈ 6.9078
Substituting this value back into the equation:
N = 1,500 + 200(6.9078)
N ≈ 1,500 + 1,381.6
N ≈ 2,881.6
Rounding this number to the nearest whole number, the number of units sold after spending $1,000 on advertising is approximately 2,882.