9514 1404 393
Answer:
A(t) = 5000(1 +.05/4)^(4t)
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where principal P earns interest at annual rate r compounded n times per year for t years. The problem statement tells you P=5000, r=0.05, n=4. Putting these values into the formula gives ...
A(t) = 5000(1 +0.05/4)^(4t)
Answer:
m = 17.5
Step-by-step explanation:
Given 0.2m=3.5, we want to solve for m. This involves isolating m on the left side. To accomplish this, divide both sides by 0.2, obtaining:
m = 3.5/0.2, or m = 17.5
Answer:

Step-by-step explanation:
our expression is

we are asked to simplify the expression
in order to that we first bring the like terms together
like terms are those having the same variable or same combination of variables with exactly same degrees
Hence it would be like

now we simplify the like terms



Hence

Answer = -4
Step-by-Step Explanation:
Given: x = 2, y = -9
Therefore, substituting the values
= 7x + 2y
= 7(2) + 2(-9)
= 14 + -18
= 14 - 18
= -4
We use the law of correspondence that is
Hypotenuse = Hypotenuse Leg = Leg
3y + x = y + 5
and
y - x = x + 5 --------------------------------- work on your first problem to find x
x = -2y + 5
now you can plug this in to your second equation to sub in for the x
y - ( -2y + 5 ) = ( -2y + 5 ) + 5 y + 2y - 5 = -2y + 10 3y - 5 = -2y + 10 5y = 15 y = 3
Now you can plug back in to solve for x
3y + x = y + 5 3(3) + x = (3) + 5 9 + x = 8 x = -1
so y = 3 and x = -1