Find the area of the circle. Use 3.14 or 22 for . 7
2 answers:
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Answer:
h(d) = (17/3249)(-d² +114d)
Step-by-step explanation:
For this purpose, it is convenient to translate and scale a quadratic parent function so it has the desired characteristics. We can start with the function ...
f(x) = 1 -x² . . . . . . . has zeros at x = ±1 and a vertex at (0, 1)
We want to horizontally expand this function by a factor of 57, so we can replace x by x/57. We want to vertically scale it by a factor of 17, so the vertex is at (0, 17). Finally, we want to translate the function 57 m to the right, which requires replacing x with x-57. After these transformations, we have ...
f(x) = 17(1 -((x-57)/57)²) = (17/3249)(-x²+114x)
Using the appropriate function name and variable, we have ...
h(d) = (17/3249)(-d² +114d)
Answer:
The percentage of the bank's customers carry daily balances between $700 and $1,000 is 65.7%.
The minimum daily balance on which it should be willing to pay interest is $1,198.
Step-by-step explanation:
We have a normal distribution with mean = $800 and standard deviation = $150.
a) We can calculate this value with the standard normal distribution, calculating the z-value for $700 and $1,000.
The percentage of the bank's customers carry daily balances between $700 and $1,000 is 65.7%.
b) We must calculate from what amount only 6% of the accounts remain.
This is done by solving:
This happens for a z-value of z=2.652.
This corresponds to a amount of $1,198.
The minimum daily balance on which it should be willing to pay interest is $1,198.