<h2>
Explanation:</h2>
For inequalities, "a is no more than b" can be written as:
Here we know Candace that can spend no more than $52 before tax. She can spend a certain amount of money in both Dark Roast coffee and Morning Blend coffee. So she spends:
- 2 pounds of Morning Blend coffee.
- p pounds of Dark Roast coffee
Therefore:
<u>Amount of money for Morning Blend coffee:</u>
<u>Amount of money for Dark Roast coffee:</u>
So the total amount of money:
Finally, the inequality becomes:
Besides, in order to know how many pounds she can spend let's solve for p:
So she can spend less that 4.13 pounds.
<h2>Learn more:</h2>
Inequalities: brainly.com/question/12890742
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Answer:
D) 3456 m
Step-by-step explanation:
Diameter of the cone = 48 m
Hence radius of the cone = ![\[\frac{48}{2}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B48%7D%7B2%7D%5C%5D)
= 24 m
Height of the cone = 18 m
Volume of a cone is given as ![\[\frac{1}{3}*pi*radius^{2}*height\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B3%7D%2Api%2Aradius%5E%7B2%7D%2Aheight%5C%5D%0A)
= ![\[\frac{1}{3}*pi*24^{2}*18\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B3%7D%2Api%2A24%5E%7B2%7D%2A18%5C%5D%0A)
= ![\[\frac{1}{3}*pi*10368\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B3%7D%2Api%2A10368%5C%5D%0A)
= ![\[pi*3456\] ](https://tex.z-dn.net/?f=%5C%5Bpi%2A3456%5C%5D%0A)
Hence among the given options, option D is the correct one.
Answer:4
Step-by-step explanation:
A zero-coupon bond doesn’t make any payments. Instead, investors purchase the zero-coupon bond for less than its face value, and when the bond matures, they receive the face value.
To figure the price you should pay for a zero-coupon bond, you'll follow these steps:
Divide your required rate of return by 100 to convert it to a decimal.
Add 1 to the required rate of return as a decimal.
Raise the result to the power of the number of years until the bond matures.
Divide the face value of the bond to calculate the price to pay for the zero-coupon bond to achieve your desired rate of return.
First, divide 4 percent by 100 to get 0.04. Second, add 1 to 0.04 to get 1.04. Third, raise 1.04 to the sixth power to get 1.2653. Lastly, divide the face value of $1,000 by 1.2653 to find that the price to pay for the zero-coupon bond is $790,32.
There are 2,000 fifties in one hundred thousand
The answer is <span>B. y = x^3 + 4x^2 + 2x - 2
A line that passes through all given point is the correct choice. Now, substitute x and y in all of the choices:
</span>B. y = x³ + 4x²<span> + 2x - 2
Point 1: </span><span>(-2, 2)
x = -2
y = 2
____
2 = (-2)</span>³ + 4 *(-2)² + 2 * (-2) - 2
2 = -8 + 4 * 4 + (-4) - 2
2 = -8 + 16 - 4 - 2
2 = 2
_____
Point 2: (-1, -1)
x = -1
y = -1
____
-1 = (-1)³ + 4 *(-1)² + 2 * (-1) - 2
-1 = -1 + 4 * 1 + (-2) - 2
-1 = -1 + 4 - 2 - 2
-1 = -1
____
Point 3: (1, 5)
x = 1
y = 5
____
5 = (1)³ + 4 *(1)² + 2 * 1 - 2
5 = 1 + 4 * 1 + 2 - 2
5 = 1 + 4 + 2 - 2
5 = 5
____
Point 4: (3, 67)
x = 3
y = 67
____
67 = (3)³ + 4 *(3)² + 2 * (3) - 2
67 = 27 + 4 * 9 + 6 - 2
67 = 27 + 36 + 6 - 2
67 = 67
So, line B passes through all choices.
