An aquarium has a base in the shape of a trapezoid. The base is 80 cm long at the front, 50 cm long at the back, and 30 cm wide (from front to back). The height is 100 cm. What is the volume of the aquarium in litres?

The volume of the aquarium is 195 litres.

Step-by-step explanation:

The volume (), measured in cubic centimetres, of the aquarium is equal to the area of the base multiplied by the height. That is:

(1)

Where:

- Long leg length of the aquarium, measured in centimetres.

- Short leg length of the aquarium, measured in centimetres.

- Width of the aquarium, measured in centimetres.

- Height of the aquarium, measured in centimetres.

If we know that , , and , then the volume of the aquarium is:

If we know that a litre equals 195000 cubic centimetres, then the volume of the aquarium is:

The volume of the aquarium is 195 litres.

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.