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3 years ago

$1800 at 6.5% for 30 months

Mathematics

1 answer:

nasty-shy [4]3 years ago

8 0

1800×6.5%×30=b
b-1800=a

a) $1,710

b) $3,510

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Solve using elimination x-2y=12 and 5x+3y=-44 (4,8) (-4,8) (4,-8) (-4,-8)

Leya [2.2K]

Answer:

(-4, -8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x - 2y = 12

5x + 3y = -44

Step 2: Rewrite Systems

x - 2y = 12

[Multiplication Property of Equality] Multiply everything by -5: -5x + 10y = -60

Step 3: Redefine Systems

-5x + 10y = -60

5x + 3y = -44

Step 4: Solve for y

Elimination

Combine 2 equations: 13y = -104
[Division Property of Equality] Divide 13 on both sides: y = -8

Step 5: Solve for x

Define original equation: x - 2y = 12
Substitute in y: x - 2(-8) = 12
Multiply: x + 16 = 12
[Subtraction Property of Equality] Subtract 16 on both sides: x = -4

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3 years ago

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Step-by-step explanation:

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eimsori [14]

Question:

A solar power company is trying to correlate the total possible hours of daylight (simply the time from sunrise to sunset) on a given day to the production from solar panels on a residential unit. They created a scatter plot for one such unit over the span of five months. The scatter plot is shown below. The equation line of best fit for this bivariate data set was: y = 2.26x + 20.01

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Answer:

51.65 kilowatt hours

Step-by-step explanation:

We are given the equation line of best fit for this data as:

y = 2.26x + 20.01

On a day that has 14 hours of possible daylight, the model prediction will be calculated as follow:

Let x = 14 in the equation.

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y = 2.26x + 20.01

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