Ted:
4,000 @ 4.5% interest compounded annually
Alan:
1,000 @ 6% interest compounded annually
Rule of 72: divide 72 by the compound annual interest rate
Ted: 72/4.5% = 16 years
Alan: 72/6% = 12 years
<span>Alan will win. It will take 12 years.</span>
Answer:
m∠5 = 44°; m∠7 = 44°
Step-by-step explanation:
Angle 4 and 1 are supplementary (they make up a line) and their sum is equal to 180 degrees.
Subtracting the measure of angle 4 from 180 degrees gives the measure of angle 1. (180 - 136 = 44).
So Angle 1's measure is 44 degrees.
According to the Corresponding Angle Postulate, Angle 1 and Angle 5 are congruent. Therefore, m∠5 = 44°
According to the Vertical Angles Postulate (if two angles are vertical, they are congruent), ∠5 ≅ ∠7, meaning that m∠5 = m∠7.
So m∠7 = 44°
The constant of proportionality is for every 1 x, there is 0.25 y. y = 0.25, and on a graph, x is always the "1." Since x is worth 1, y must be worth 0.25.
Answer:
10.8 gallons
Step-by-step explanation:
First change everything to inches:
2.75 ft = 33 in
1.5 ft = 18 in
Volume of tank = lwh = (33)(18)(7) = 4158 in³
The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³
Now find out how much 2494.8 in³ is in gallons:
231 in³ = 1 gallon
1 in³ = 1/231 gallons
2494.8 = (1/231)(2494.8) gallons = 10.8 gallons
Answer:
or 
Step-by-step explanation:
1.Find the Least Common Denominator (LCD)
LCD = 6
2.Make the denominators the same as the LCD.
3.Simplify. Denominators are now the same
4. Join the denominators
5.Simplify
=
