Answer:
z =0.001
Step-by-step explanation:
log z + 12 = 9
Subtract 12 from each side
log z + 12-12 = 9-12
log z = -3
Raise each side to the base of 10
10^ log z = 10 ^-3
z = 10 ^-3
z =0.001
Answer:
B = log₃243 = 5
Step-by-step explanation:
By using the rule of aⁿ = b ==> logₐb = n, you can transform the exponent form into a logarithmic form by switching around the values of each letter to their desired place. It is interchangable between the two equations.
Answer: 83
Step-by-step explanation:
A triangle is always 180 degrees
You know the measure of 2 angles (44 and 53). You need the 3rd.
180 - 44 - 53 = 83
To solve this problem, I am going to use the substitution method. To do this, we use our first equation given (s=4r-1) and substitute this given value for s (4r-1) and substitute it into the second equation so that we have an equation with only one variable. This is modeled below:
s = 4r - 1
6r - 5s = -23
6r - 5(4r-1) = -23
Now, we can solve this equation as we would any other equation, using the order of operations outlined by PEMDAS. To begin, we will distribute the factor of -5 through the parentheses on the left side of the equation.
6r - 20r + 5 = -23
Next, we should combine like terms on the left side of the equation:
-14r + 5 = -23
Next, we should subtract 5 from both sides of the equation to get the variable term alone on the the left side of the equation. We get:
-14r = -28
Finally, we should divide both sides by -14 to get the variable r alone on the left side of the equation.
r = 2
Now that we know that value for the variable r, we can substitute this value into one of our original equations (either one will work, but I am choosing to use the first one):
s = 4r - 1
s = 4(2) - 1
Now, we can find the value for s by using multiplication and then subtraction to simplify the right side of the equation.
s = 8-1
s = 7
Therefore, your answer is s = 7 and r = 2.
Hope this helps!
If it's compounded annually, it basically means the interest rate will apply once a year.
So the answer will be 1.
