To find the Greatest Common Factor of 45 and 60, we do the following:
Find the Factors of 45 & 60.
45: 1, 3, 5, 9, 15, 45
60: <span>1, 2, 3, 4, 5, 6,10, 12, 15, 20, 30, 60
As you can see, 15 is the greatest common factor.</span>
Answer:
The number of skateboard company sell during the month of August = 55
Step-by-step explanation:
We have given,
Profit function for Bob, P = x²+ 10x - 12
Bob's profit during August month is $3,563
That means, P = $3,563
We can use the profit formula given for Bob's profit:
P = x² + 10x - 12
Plug P =$3,563 in above formula.
i.e 3,563 = x² + 10x - 12
or 0 = x² + 10x -12 - 3,563
or 0 = x² + 10x - 3575
or x = 55, -65
Since number of skate boards can not be negative.
So we consider x= 55
Hence the number of skateboard company sell during the month of August = 55.
Answer:
$40
Step-by-step explanation:
The earnings of Gabriel can be calculated with the formula:
P = Po * (1 + r/n)^(nt)
Where P = 900, r = 0.0325, n = 365 and t = 19
So we have:
P = 900 * (1 + 0.0325/365)^(365*19) = $1,668.81
The earnings of Daniel can be calculated with the formula:
P = Po * e^(rt)
Where Po = 900, r = 0.03375 and t = 19
So we have:
P = 900 * e^(0.03375*19) = $1,708.97
So the amount that Daniel will have more than Gabriel is:
1708.97 - 1668.81 = $40.16
Rounding to nearest dollar, the difference is $40
Answer:
B
Step-by-step explanation:
1.6/0.2=8
10⁵-10²=10³
Answer: b) two sides and the included angle are congruent
<u>Step-by-step explanation:</u>
RS = QS SIDES are congruent
∠PSR ≡ ∠PSQ ANGLES are congruent
PS = PS SIDES are congruent
ΔPSR ≡ ΔPSQ by the Side-Angle-Side (SAS) Congruency Theorem
Since we know the triangles are congruent, we can state that their parts are congruent:
Congruent-Parts of-Congruent-Triangles are-Congruent (CPCTC)
