Answer:
SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.
The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4
The hypotenuse is 8inches longer than the shorter leg: c = a + 8
Use the Pythagorean Theorem:
a2 + b2 = c2
a2 + (a+4)2 = (a+8)2
a2 + a2 + 8a + 16 = a2 + 16a + 64
a2 - 8a - 48 = 0
Factors to:
(a-12)(a+4) = 0
a = 12, -4
Since we can't have a side of -4, a = 12
Shorter Leg = 12 inches
Longer Leg = 12 + 4 = 16 inches
Hypotenuse = 12 + 8 = 20 inches
Answer: There are 12 bills for $20, 13 bills for $10 and 14 bills for $5.
Step-by-step explanation:
Let the number of twenties be x
Let the number of tens be x+1
Let the number of fives be x+2
Amount from twenties will be given as
Amount from tens will be given as
Amount from fives will be given as
According to question,
So, there are 12 bills for $20, 13 bills for $10 and 14 bills for $5.
Answer:
Sylvia's investment would double first
Step-by-step explanation:
The number of years it takes for amount invested to double itself using the 72 rule is 72 divided by rate of interest as computed below:
Sylvia investment:
Sylvia's investment would double in 9 years' time (72/8)
Manuel's investment"
Manuel investment of $600 would double itself in 9.9 years' time (72/7.25)
From the above analysis,Sylvia's investment of $500 at the 8% rate of interest would double first
Answer:
5.65685424.
Step-by-step explanation:
Square Root of 32: √32 = 5.65685424...
