If Z is the centroid of ABC , AZ = 2/3 AY and ZY = 1/3 AY
which means that: ZY = 1/2 AZ = 1/2 x 12 = 6
Answer: A ) 6
Hello there! So, the first thing we do when solving these types of problems is to find the interest rate. Because this is simple interest, the amount earned will be constant. The formula for this is I = prt. The principle is the $2,200. The rate earned per year is 3.4%. 2,200 * 3.4% (0.034) is 74.80. That's $74.80 worth of interest each year. The amount of time is 5.5 years. 74.8 * 5.5 is 411.4. Carmelo will earn $411.40 worth of interest in 5.5 years. However, that's not all. We are looking for the total amount of his bonds, which means add the interest and his initial amount in the bank. 2,200.00 + 411.40 is 2,611.4. Carmelo's saving bonds will be worth $2,611.40 at the end of 5.5 years.
Answer:
x = -5
Step-by-step explanation:
You are often told to start a problem like this by clearing fractions. Multiply the equation by the least common denominator of the fractions. Here, that value is 6.
4x -3 = 2 +5x . . . . multiply the equation by 6
-5 = x . . . . . . . . . . . add -2-4x to both sides
The solution is x = -5.
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If you're comfortable with arithmetic using fractions, you can "cut to the chase." Subtract 2/3x+1/3 from both sides:
(2/3x -1/2) -(2/3x +1/3) = (1/3 +5/6x) -(2/3x +1/3)
-1/2 -1/3 = 5/6x -2/3x . . . . simplify a little
-5/6 = 1/6x . . . . . . . . . . . . .simplify more
-5 = x . . . . . . multiply by 6
Answer:
8) 92°
9) 44°
Step-by-step explanation:
8) 92°
9) 44°
Answer:
1 kiloliter
Step-by-step explanation: