The answers are:
P(9, 2) = 72
P(5, 5) = 120
P(7, 7) = 5040
These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.
In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72
P(5, 5) = 5 x 4 x 3 x 2 x 1
P(7, 7) = 7 x 6 x 5 x 4 x 3 x 2 x 1
A.) If Lucy sells 1 necklace, her sales would equal to $15.99. Then her profit would be:
Profit = $15.99 - $3.38(1) - $5.57(1)
Profit = $7.04
The fraction of the sale price of the necklace in profit is denoted as x.
15.99x = 7.04
x = 704/1559
b.) This is the same as part (a) but in decimal form. Just simply divide 704 by 1559. The answer is 0.44
c.) If Lucy's sales is $223.86 and each necklace costs $15.99, then the number of necklaces sold is $223.86 ÷ $15.99/necklace = 14 necklaces
Her profit for the 14 necklaces sold would be:
$223.86 - $3.38(14) - $5.57(14) = $98.56
113.09 because you divide the 12 by two because the rule
Answer:
The acceleration is: a = -2 m/s²
The negative sign indicates that velocity is decreasing with time.
Step-by-step explanation:
Given
- Initial velocity u = 10 m/s
To determine
Acceleration a = ?
Using the formula to determine the acceleration
a = (v - u) / t
substituting u = 10 m/s, v = 0 and t = 5
a = (0 - 10) / 5
a = -10 / 5
a = -2 m/s²
Thus,
The acceleration is: a = -2 m/s²
The negative sign indicates that velocity is decreasing with time.
Answer:
Point slope form:
The equation of line is given by: 
.....[1]
where m is the slope and a line contains a point 
.
As per the given statement:
Slope(m) = 3
. = (2, 1)
Substitute these in [1] we have;
therefore, the point slope form of a line with slope 3 that contains the point (2, 1) is;
