Answer:
120(0.96)^n
Step-by-step explanation:
6% = 0.06
1 - 0.06 = 0.94
p = 120(0.96)^n
Answer:
Step-by-step explanation:
x² × 2x² = 2x^4 (2x to the power of 4)
x² × -3x = -3x³
+3 × 2x² = 6x²
+3 × -3x = -9x
2x^4 , -3x³ , 6x², -9x
In bold are the bottom two
26 = 5 (x + 10) + 3x
26 = 5x + 50 + 15x
26 = 5x +15x + 50
26 = 20x + 50
26 - 50 = 20x - 50
-14 = 20x
-14 / 20 = x
-0.7 = x
Answer:
(-1, -2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-2x + y = 0
5x + 3y = -11
<u>Step 2: Rewrite Systems</u>
-2x + y = 0
- Add 2x on both sides: y = 2x
<u>Step 3: Redefine Systems</u>
y = 2x
5x + 3y = -11
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 3(2x) = -11
- Multiply: 5x + 6x = -11
- Combine like terms: 11x = -11
- Isolate <em>x</em>: x = -1
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: y = 2x
- Substitute in <em>x</em>: y = 2(-1)
- Multiply: y = -2
<u>Step 6: Graph Systems</u>
<em>Check the solution set.</em>
Answer:
A) 10-14
B) 45
C) 6.7%
Step-by-step explanation:
A) The interval that contain the most values can be gotten by looking at the histogram and selecting the interval with the highest frequency. Hence the interval 10-14 contains the most values because it has a frequency of 20.
B)The total number of swimmers is gotten by summing all the frequency of each individual lap. Hence:
Total swimmers on team = 10 + 12 + 20 + 0 + 3 = 45 swimmers
C) The percentage of swimmers who swam more than 14 laps = (number of swimmers that swam more than 14 laps/total swimmers) * 100%
The percentage of swimmers who swam more than 14 laps = [(0 + 3)/45] * 100% = (3/45) * 100% = 6.7%