Answer:
(3, -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
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -x + 1
y = 4x - 14
<u>Step 2: Rewrite Systems</u>
y = 4x - 14
- Multiply everything by -1: -y = -4x + 14
<u>Step 3: Redefine Systems</u>
y = -x + 1
-y = -4x + 14
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine equations: 0 = -5x + 15
- Isolate <em>x</em> term: -15 = -5x
- Isolate <em>x</em>: 3 = x
- Rewrite: x = 3
<u>Step 5: Check</u>
- Define equation: y = -x + 1
- Substitute in <em>x</em>: y = -3 + 1
- Add: y = -2
Im not real sure if this is it but if you start with 15,000 and its 4% for 5 years then <span>This investment will be worth: </span>$<span>18,250. hope it helps
</span>
Answer:
$8,240
Step-by-step explanation:
We are given that,
Principle amount in the savings account, P = $5,000.
Rate of interest, r = 5% = 0.05
Time period, t = 10
Also, the interest is compounded monthly, n = 12
As, we now that the value of the investment is given by 
Thus, we have,
Investment Value = 
i.e. Investment Value =
i.e. Investment Value = 
i.e. Investment Value = 
i.e. Investment Value = $8,240
Hence, the investment amount after 10 years is $8,240.
Answer:
Total number of notes is 11.
Step-by-step explanation:
Value is 100 rupees…
5x + 20y = 100 and x + y = 11 are the two equations.
We can simplify…
5x + 20 y - 5x - 5y = 100 - 55 = 45
15y = 45 so y = 3
x = 11 - y = 8
So, we have 8 notes of 5 rupees denomination and 3 notes of 20 rupees denomination.
I hope it helps you.
Answer:
Step-by-step explanation:
- Weekly wage = £355.68
- Work week = 38 hours
<u>Hourly pay is:</u>
<u>New payment per hour:</u>
<u>New weekly wage is:</u>
