29) Turns is the ratio of annual amount to average amount.
Cost turns = 57,982.85/15,545 ≈ 3.73
Sales turns = 130,935.60/35,388 ≈ 3.70
30) Consider January of the following year to be month 13.
7/16 to 13/14 is 6 months less 2 days. There are 31 days in July, August, October, and December, so 4 more days than 30 days per month. The total number of days is 6*30 -2 +4 = 182
31) I = Prt = $5380×0.118333×90/360 = $159.16
Answer:
The smaller number is 22
The larger number is 30
Step-by-step explanation:
L + S = 52
L = S + 8
Set both equations equal to L.
S + 8 = -S + 52
+S +S
2S + 8 = 52
- 8 - 8
2S = 44
S = 22
To find the larger number, plug 22 in as S into the equations.
L = 30
Answer:
A. ![y=-8.583x+475.215](https://tex.z-dn.net/?f=y%3D-8.583x%2B475.215)
Step-by-step explanation:
We are given,
The table representing the closing prices of stock for the last five days is,
Day Value
1 472.08
2 454.26
3 444.95
4 439.49
5 436.55
Using the linear regression calculator, we have that,
<h3>The linear equation that best fits the data is
![y=-8.583x+475.215](https://tex.z-dn.net/?f=y%3D-8.583x%2B475.215)
</h3>
Thus, option A is correct.
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95