Answer:
251 inches
Step-by-step explanation:
c = 2πr
c = 2(3.14)(5) = 31.4
31.4 x 8 rev. = 251 inches
First let's write out the inequality before choosing a graph.
x apples each weighing 1/3 of a pound: 1/3x
y pounds of grapes: y
So...
1/3x + y < 5
The maximum weight is 4 pounds since the total weight of both the grapes and apples are less than 5.
In the y-axis, the first, third, and fourth graphs already exceed the capacity of 5 pounds.
So, by process of elimination, the correct graph for this problem is the second one.
Answer:
a) About 12%
Step-by-step explanation:
We need to find the interest rate required to achieve her goal, so we will need to use the interest-compound formula:
Where:
PV= Present Value
i= interest rate
FV= Future Value
n= number of periods
replacing the data provided:
solving for i:
first, divide both sides by 50.000 to simplify the equation:
Take 
roots of both sides:
±![\sqrt[10]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B3%7D)
solve for i:
±![\sqrt[10]{3} -1](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B3%7D%20-1)
We get two answers, but we look for a coherent value. So we take the positive one:
≈12
Answer:
1.2 lbs
Step-by-step explanation:
This problem is set up so that the total price is proportional to the price per pound, so to find the proportion you would divide the total cost by the cost per pound. 3.42/2.85 = 1.2, so the answer is 1.2 pounds.
