Every year Chana uses her income from her job to pay for 80% of her college tuition. Next year Chana will need to contribute $2,000 toward her tuition. Next year the tuition will be $600 more than this year's tuition. How much is this year's tuition?

$1400

Step-by-step explanation:

Given that:

80% of the college tuition was paid from the income of Chana.

Next year, Amount to be contributed toward the tuition = $2000

Next year, the tuition will be $600 more than this year's tuition.

To find:

Amount of this year's tuition = ?

Solution:

Let the amount of this year's tuition = $

As per the question statement, next year's tuition will be $2000 which is $600 more than this year's tuition fee.

Writing the equation:

This year's tuition fee is $1400.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°