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3 years ago

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An account is opened with an initial deposit of $700 and earns 3.3% interest compounded semi-annually. What will the account be

worth in 3 years? Round your answer to the nearest cent.

1 answer:

LenaWriter [7]3 years ago

4 0

Answer:

772.22

Step-by-step explanation:

A=$700(1+0.0332)2(3). Simplify using the order of operations: A=$700(1.0165)6=$700(1.103174712)≈$772.22.

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Solve the inequality 5y+4 ≤ 22-y and graph the solution set on a number line. Please explain how to do it!

gtnhenbr [62]

Answer:

y≤3

Step-by-step explanation:

5y+4≤22−y

<em>Step 1: Simplify both sides of the inequality.</em>

5y+4≤−y+22

<em>Step 2: Add y to both sides.</em>

5y+4+y≤−y+22+y

6y+4≤22

<em>Step 3: Subtract 4 from both sides.</em>

6y+4−4≤22−4

6y≤18

<em>Step 4: Divide both sides by 6.</em>

6y/6≤18/6

y≤3

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2 years ago

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Fed [463]

A parallel line must have the same slope. The only one it can be is A

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2 years ago

2 x 34 x 9 - 6 + 46 plese

Lera25 [3.4K]

answer 652

2 x 34 x 9 - 6 + 46

68 x 9 - 6 + 46

612 - 6 + 46

606 + 46

652

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3 years ago

Which piecewise function is shown in the graph?

mash [69]

Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different <em>linear</em> functions. <em>Linear</em> functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b (1)

Where:

x - Independent variable.
y - Dependent variable.
m - Slope
b - Intercept

By direct observation and by applying (1) we have the following <em>piecewise</em> function:

$f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$

Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

3 0

2 years ago

5x + 3 - 2x = 12 + 7x - 2 solution ??? SOMEONE HELPPP PLEASE !!

tensa zangetsu [6.8K]

Answer:

x = -7/4

General Formulas and Concepts:

<u>Pre-Algebra</u>

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
Subtract Property of Equality

<u>Algebra I</u>

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

5x + 3 - 2x = 12 + 7x - 2

<u>Step 2: Solve for </u><em><u>x</u></em>

Combine like terms: 3x + 3 = 7x + 10
[SPE] Subtract 3x on both sides: 3 = 4x + 10
[SPE] Subtract 10 on both sides: -7 = 4x
[DPE] Divide 4 on both sides: -7/4 = x
Rewrite: x = -7/4

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

Substitute in <em>x</em>: 5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
Multiply: -35/4 + 3 + 7/2 = 12 - 49/4 - 2
Add: -23/4 + 7/2 = 12 - 49/4 - 2
Add: -9/4 = 12 - 49/4 - 2
Subtract: -9/4 = -1/4 - 2
Subtract: -9/4 = -9/4

Here we see that -9/4 does indeed equal -9/4.

∴ x = -7/4 is the solution to the equation.

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3 years ago