A copy machine makes 36 copies in a minute (1).
Multiply 36 copies by 3.75 (3 min and 45 sec) to find how many copies it can make within that time.
(36)(3.75) = 135
The copy machine can make 135 copies in 3 minutes and 45 seconds.
Answer:
B. (-4, 2½)
Step-by-step explanation:
The lines intercept at the point -4 on the x-axis and 2½ on the y-axis
What you can do for this case is graph the data in a computer program, for example, excel and look for the trend line of the function.
For this case, the function has a logarithmic behavior, therefore, we choose a linear logarithmic trend.
The function that best suits the problem is:
y = 1.4004ln (x) + 0.2158 The value of R ^ 2 indicates the accuracy of the function
R² = 0.9691 For R ^ 2 = 1 the function is completely accurate.
We note that in that case R² = 0.9691, the function chosen has a good approximation.
Answer:
12 and 13
Step-by-step explanation:
(a)
To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)
g(2) = 2(2) - 1 = 4 - 1 = 3, then
f(3) = 3² + 3 = 9 + 3 = 12
--------------------------------------------
(b)
To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)
f(2) = 2² + 3 = 4 + 3 = 7, then
g(7) = 2(7) - 1 = 14 - 1 = 13
Answer:
92.727
Step-by-step explanation:
The formula for compound interest is
, where P is the principal amount, i is the interest rate and t is the time. Sub your values into this formula to find your answer.
1000((1+0.03)³-1)
1000(1.03³-1)
1000(1.092727-1)
92.727
1000(0.092727)