This phenomenon is modeled with a differential equation, and that equation may be solved to give
T(t) = TA + [T0 − TA]b
t
where T(t) is the varying temperature of the object at a
given time, t, TA is the surrounding ambient temperature,
T0 is the initial temperature of the object, and b is a
constant that depends on the material the object is
composed of and how fast it heats or cools.

Suppose you decided to make a cup of hot tea
heated to 220 degrees F in the kitchen that is at 70 degrees F.

1.Solve the above equation for the constant b.

3 1/3 x 2 3/5 = 8 2/3

step-by-step explanation:

just multiply the first number by the second number to get your answer.

168

step-by-step explanation:

i am pretty sure that the answer is 168

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.

86

step-by-step explanation:

find the area of the triangle then multiply by 2 then add the area of the parollelegram multiplied by 2