\(80000= \frac { 1000( ( 1+ \frac { 0.075} { 12} ) ^ { 39} - 1) } { \frac { 0.075} { 12} } + \frac { 860( ( 1+ \frac { 0.075} { 12} ) ^ { x} - 1) } { \frac { 0.075} { 12} } \)

Select the correct answer.

Haley conducted a study which found that a cup of coffee contains 150 milligrams of caffeine. The amount of caffeine in the body each hour after consumption of one cup is 9% less than the previous hour. If Haley conducted her study for a total of 10 hours, which inequality represents the range of the exponential function that models this stuation?

150≤ f(x)≤ 355.1

0≤ f(x)≤ 10

0≤ f(x)≤ 150

58.41≤ f(x)≤ 150

Mrs. Varner deposited q dollars in a bank account that has been earning annual interest. The total value of the account is based on the function f(x)=q· 1.025^x , where x represents the number of years the money has been in the account. If no deposits or withdrawals are made after the initial deposit, which equation represents the total value of the account 5 years from now?

a. f(x)=q· 1.025^x+5 b. f(x)=q· 1.025^(x+5) c. f(x)=q· 1.025^(x-5) d. f(x)=q· 1.025^x-5

Sully has a loan which he repays every month. If the loan amount includes interest, his loan amount due, in dollars, after tyears, is shown by the following expression.

7,000(0.90)^12t

Which statement below best describes the coefficient, 7,000?

A. Sully's initial loan amount B. the decrease in Sully's loan amount every month C. the number of times Sully repaid the loan since he began making payments D. the rate at which Sully repays the loan

Write 1+2+3+...+10 using sigma notation