Answer:
Step-by-step explanation:
Let x be the amount at 5%
Then 2200 - x is the amount at 3%
<u>The total interest is:</u>
- 0.05x + (2200 - x)*0.03 = 78.50
- 5x + (2200 - x)*3 = 7850
- 5x + 6600 - 3x = 7850
- 2x = 7850 - 6600
- 2x = 1250
- x = 625
<u>Find the amount at 3%:</u>
Answer:
25.2
Step-by-step explanation:
Secant-Tangent Formula:
(whole secant) x (external part) = (tangent)^2
(41+12) * 12 = x^2
( 53) * 12 = x^2
636= x^2
Taking the square root of each side
sqrt(636) = x
25.2=x
Answer:
Step-by-step explanation:
I cant fully answer it, I'm having trouble with too. But i know for a fact that the cost of a pound of pistachios is 12 dollars. The cost of a pound of almonds is 8 dollars. Sorry -_-
Answer:
4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
2x - y = 11
x + 3y = -5
<u>Step 2: Rewrite Systems</u>
2x - y = 11
- [Subtraction Property of Equality] Subtract 2x on both sides: -y = 11 - 2x
- [Division Property of Equality] Divide -1 on both sides: y = 2x - 11
<u>Step 3: Redefine Systems</u>
y = 2x - 11
x + 3y = -5
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em> [2nd Equation]: x + 3(2x - 11) = -5
- [Distributive Property] Distribute 3: x + 6x - 33 = -5
- Combine like terms: 7x - 33 = -5
- [Addition Property of Equality] Add 33 on both sides: 7x = 28
- [Division Property of Equality] Divide 7 on both sides: x = 4
If if y=6 and z=1 then the equation would be 1+6(2) and that ends up to be 13