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 = 2,500 + 400 ln a (a ¡Ý 1)
How many units are sold after spending $1,000? (Round your answer to the nearest whole number.)
you have the formula. Plug in 1000 for a and evaluate.
Graph f(x)= 1/2 ^(x+3) -2
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 ¡Ý 1)
How many units are sold after spending $1,000? (Round your answer to the nearest whole number.)
N = 2,500+200 In a
N = 25,00+200*In 1000
N = 2,500+1381.6
N= 3881.6
To find the number of units sold after spending $1,000, we need to substitute a = 1000 into the formula N = 2,500 + 400 ln a and solve for N.
N = 2,500 + 400 ln(1000)
To evaluate the natural logarithm of 1000, we can use a calculator. The natural logarithm of 1000 is approximately 6.907755.
N = 2,500 + 400 (6.907755)
Now we can calculate the value of N:
N = 2,500 + 2763.10
N ≈ 5263.10
Rounding to the nearest whole number, we get:
N ≈ 5263
Therefore, after spending $1,000 on advertising, approximately 5,263 units are sold.