42. TIME A wall clock has a face diameter of 8 inches. The length of the hour hand is 2.4 inches, the length of the minute hand is 3.2 inches, and the length of the second hand is 3.4 inches. Example 5 12 10 in a. Determine the angular speed in radians per hour and the linear speed in inches per hour for each hand. b. If the linear speed of the second hand is 20 inches per minute, is the clock running fast or slow? How much time would it gain or lose per day?​

106

Step-by-step explanation:

did the math

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

step-by-step explanation: 2