Answer:
a = 22
b = 7
Step-by-step explanation:
Let the two numbers be represented as a and b.
a + b = 29
a - b = 15
Using elimination method
Add both equations
2a = 44
Divide both sides by 2 to get a
2a/2 = 44/2
a = 22
Now substitute a = 22 in any of the equations to get b .
Using the first equation, we have
a + b = 29
22 + b = 29
Subtract 22 from both sides of the equation
22 - 22 + b = 29 - 22
b = 7
Therefore the two numbers are 22 and 7
Answer:
you are correct it is, 4a+100b
Step-by-step explanation:
Answer:
30 dollars
Step-by-step explanation:
40% of 100 = 40. 40% of 50 = 20. 50-20 = 30.
A few ways. you can enter it into a calculator for one, but the easiest way would be to reference a unit circle and look for an ordered pair where sin (the y value), is equal to -1/2
on a unit circle, the sin value is -1/2 at 7pi/6 and 11pi/6
because sin is the y value, it will additionally be in the quadrants III or IV based on the fact that (-1/2) as a sin value IS a negative and would have to be found in a quadrant in which sin is negative (the lower half of a coordinate plane, in this case)
Answer:
7.87 years
Step-by-step explanation:
#First we determine the effective annual rate based on the 9% compounded semi annual;

#We then use this effective rate in the compound interest formula to solve for n. Given that the principal doubles after 2 yrs:

Hence, it takes 7.87 years for the principal amount to double.