Answer:
1680
Step-by-step explanation:
Number of distinct Toppings wanted = 4
Total number of vegetarian topping = 8
To choose 4 distinct toppings from a total of 8
Using permutation :
nPr : n! (n - r)!
8P4 = 8! / 4!
8P4 = (8*7*6*5)
8P4 = 1680
To find the future value the formula is
A=p e^rt
A future value?
P present value 8906.54
R interest rate 0.06
T time 9 years
E constant
A=8,906.54×e^(0.06×9)
A=15,283.68
To find the interest earned the formula is
I=A-p
I=15,283.68−8,906.54
I=6,377.14
A nonagon has 9 sides, so n = 9
S = sum of the interior angles
S = 180*(n-2)
S = 180*(9-2)
S = 180*7
S = 1260
Answer is choice B
Answer:
x is no more than -6
Step-by-step explanation:
Answer:
the solution set consists of {x < -2 ∪ x > 10/3}
Step-by-step explanation:
|3x - 2| > 8 is equivalent to the following set of inequalities:
1) 3x - 2 > 8
and
2) -(3x - 2) > 8
In case 1, above, add 2 to both sides, obtaining 3x > 10, or x > 10/3.
In case 2, above, carry out the indicated multiplication first:
-3x + 2 > 8. Next, subtract 2 from both sides: -3x > 6.
Next, divide both sides by -3, remembering to reverse the direction of the inequality sign: x < -2.
Thus, the solution set consists of {x < -2 ∪ x > 10/3}
