Answer:
455 or 680, depending
Step-by-step explanation:
If we assume the three choices are different, then there are ...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to make the pizza.
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If two or three of the topping choices can be the same, then there are an additional ...
2(15C2) +15C1 = 2·105 +15 = 225
ways to make the pizza, for a total of ...
455 + 225 = 680
different types of pizza.
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There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.
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nCk = n!/(k!(n-k)!)
Answer:
The amount that should be in the account after 15 years is $95,321.85
Step-by-step explanation:
According to the given data, we have the following:
monthly amount of $220=R
interest rate is fixed at 2.05%. We require the monthly ineterest rate, hence monthly interest rate= 2.05%/12=0.1708%=0.0017
t=15years×12=180 months
In order to calculate how much should be in the account after 15 years, we would have to use the following formula:
Ap=<u>R(1-(1+i)∧-t)</u>
i
Ap=<u>220(1-(1+0.0017)∧-180)</u>
0.0017
Ap=<u>162,04</u>
0.0017
Ap=$95,321.85
The amount that should be in the account after 15 years is $95,321.85
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Answer =
B= 50-10t
y-intercept of the function is 50 which represents the charge of the battery when Ashley left her house.
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
All the given arcs cover the entire circle circumference, so their measures add up to a full 360.
(2x - 16) + (x + 40) + x + 60 = 360
4x + 84 = 360
4x = 276
x = 69
<span>sin(angle)=<span><span>opposite leg/</span><span>hypotenuse</span></span></span>
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</span></span></span>
<span><span><span> sin(20) = 10/ hypotenuse</span></span></span>
<span><span><span>hypotenuse = 10/sin(20) = 29.238 ( round off as necessary)</span></span></span>
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