Answer:
P1= -2/3
P2= -10/3
Step-by-step explanation:
take the sq rt of both sides and use both + and - roots
3P+6=4
3P+6=-4
subtract 6 from both sides for each one
3P=-2
P=-2/3
3P=-10
P= -10/3
A = P ( 1+r )^ t
A = the future value including interest
P = the principal = $15,000
r = the annual interest rate = 6% = 0.06
t = the number of years = 5 years
So
A = 15,000(1 + 0.06)^5
A = $20,073.38
Answer
She will have paid $20,073.38 at the end of the five year
Answer:
No.
Step-by-step explanation:
y/x has to be the same number no matter what except at point (0 0) which it must also include for it to be a direct variation.
*y=2x+3 is not a direct variation because you can not write it as y/x=k where k is some constant number. If we were y=2x, then yes since y/x=2.
*You could also take two points and see if they are proportional. That is, you can see if y2/x2 gives the same value as y1/x1 where (x1,y1) and (x2,y2) are points on the line y=2x+3. This must work for every pair of points on the linear relation except at x=0 (where you would or should have y=0 if it is directly proportional).
Let's try it out. If x=1, then y=2(1)+3=5.
5/1=5
If x=2, then y=2(2)+3=7
7/2=3.5
As you can see 5 doesn't equal 3.5.
*For it to be a direct variation, it also must contain the point (0,0) and be a diagonal line when graphed. It can also be written in form y=kx where k is a constant number. This fails two of the the things I mentioned. It doesn't contain point (0,0) because y=2(0)+3=3 not 0. It cannot be written in form y=kx because of the plus 3.
If it were y=2x, then the answer would be yes.
Answer:
BC ≈ 1.40
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify</u>
Angle θ = 35°
Opposite Leg BC = <em>x</em>
Adjacent Leg AC = 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [Tangent]: tan35° = x/2
- Isolate <em>x</em>: 2tan35° = x
- Rewrite: x = 2tan35°
- Evaluate: x = 1.40042
- Round: x ≈ 1.40