Question

Determine the measure of the related acute angle to the nearest degree c. What is the measure of to the nearest degree? Determine the exact values of sin cos and tane B. Thinking and Inquiry: (Choose any questions) 1. Kyla has just graduated from University. She must repay her student loans that total of $17,000. She can afford to make monthly payments of $325 each. The bank's interest rate is 7.2%/a, compounded monthly. Determine how long it will take Kyla to repay her student loan (5 marks) 2. Find x and yil" - 32 (5marks) 3. Find the values of that make x + (k+7)+(x+1) a perfect square trinomial 4. Prove Identities (6marks) a) tan x = sinin Eas x1+sing) | b) sin* - cos x = sinx - $us x 5. Determine the value of discriminant - cand the number of reros for each function. (4 marks) a) 3 2 -4 b) -5 - 45= 0 C Communication: (Choose any 3 questions) 1. Ansley wants to borrow $40,000. She must decide how to repay the loan. She could either make quarterly payments of $3000 each at 12%/a, compounded quarterly, or make a monthly payments of $1000 each at 12%/a, compounded monthly a) Describe the advantages and disadvantages of each option. b) Which is better option? What advice would you give to Ansley? Justify the answer. (6marks) 2. A) Find the inverse of f(x)--(x+5) (6marks) B) Graph f(x) and its inverse C) Determine domain and range of f(x) and its inverse D) Is the inverse of f(x) is a function or not? Explain. 3. Determine the number of terms, the common difference and general term in each arithmetic sequence: (5marks) a) 7,9,11,13..., 63 b) -20.-25.-30, -35, ..., -205 4. Sheila starts working as a saleswoman in a clothing store. She earns $1200 for the first month of her salary. Each subsequent month, her manager gave her

question 1 please! thank you!

Answer 1

I Formula for Loan amount i A = Por Citron (tron -1. where A = payment amount per penod. - p = Loan amount r= interest rate per period n = total number of penods. Here, P = $ 17,000 A = $325 r = 7.2 = 0.006 - 1200 n = 2 Using above formula, 325 = (17,000) (0.006) (1.006)" (160o6on - 325 102 102 325 102 (1.006)9- 102 (1006) [1-(1006)-n] . I-(1.006) → 102 - 1- (1.006) (1.006)n = 1-102 (1006) n = 223 » [n=63 It will take 63 months to repay the 102 325 325 325 loan