(6) When David was born, his grandparents deposited $10,000 in a college account that promised 6% interest compounded monthly for 18 years. Which of the following equations shows the worth of the account when David is 18? (C) A = 10000x(1.06)18 (D) A = 10000x(1.06)® (A) A = 10000x(1.06)x(18) %3D 18x12 (B) A = 10000x(1.005)(18×12) %3D

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 68SE: An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000...
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(6) When David was born, his grandparents deposited $10,000 in a college account that
promised 6% interest compounded monthly for 18 years. Which of the following
equations shows the worth of the account when David is 18?
(A) A = 10000x(1.06)x(18)
(18x12)
(B) A = 10000x(1.005)"
(C) A = 10000x(1.06)18
(D) A = 10000x(1.06)"ª
%3D
%3D
18x12
%3D
(7) If 4.5* = 97, an approximate value of x is
(A)x = log(97) 1.987
(B)x = log(97) × log(4.5) × 1.298
(C) x = In(97) × 4.575
%D
log(97)
(D) x -
z 3.042
log(4.5)
(8) If y = log5(x) and y < 1, then which of the following is a true statement
%3D
(A) x > 0
(B) 1 < x < 5
(C) 0 < x < 5
(D) 0 < x < 1
(9)
If sin(A) = /2, sin(B) = - ½, "/½ < A < r, and r < B < 3*/2, find cos(A + B)
%3D
(A) 0
(B) 2
(C) – /2
(D) – ½
Transcribed Image Text:(6) When David was born, his grandparents deposited $10,000 in a college account that promised 6% interest compounded monthly for 18 years. Which of the following equations shows the worth of the account when David is 18? (A) A = 10000x(1.06)x(18) (18x12) (B) A = 10000x(1.005)" (C) A = 10000x(1.06)18 (D) A = 10000x(1.06)"ª %3D %3D 18x12 %3D (7) If 4.5* = 97, an approximate value of x is (A)x = log(97) 1.987 (B)x = log(97) × log(4.5) × 1.298 (C) x = In(97) × 4.575 %D log(97) (D) x - z 3.042 log(4.5) (8) If y = log5(x) and y < 1, then which of the following is a true statement %3D (A) x > 0 (B) 1 < x < 5 (C) 0 < x < 5 (D) 0 < x < 1 (9) If sin(A) = /2, sin(B) = - ½, "/½ < A < r, and r < B < 3*/2, find cos(A + B) %3D (A) 0 (B) 2 (C) – /2 (D) – ½
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