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igomit [66]
4 years ago
5

Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models hi

s savings plan with the equation y = 400x + 1000 based on his current income and monthly savings rate. What is the meaning of the y-intercept in the equation? A) largest amount that he can save B) date when he will have enough saved C) date his savings account was started D) starting amount in his savings account
Mathematics
2 answers:
Kobotan [32]4 years ago
7 0
D) starting amount in his savings account.

in the linear equation the y intercept is the starting point when x is zero, that means that at the starting balance he had 1000 in the bank.
USPshnik [31]4 years ago
7 0

Answer

Answer would be starting amount in his savings account.

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Mashcka [7]

Given: A cuboid with the dimesion below:

5\operatorname{cm}by4\operatorname{cm}by5\operatorname{cm}

To Determine: The surface area of the cuboid

The formula for finding the surface area of a cuboid is given as:

A_{\text{Cuboid Surface Area}}=2(l\times w+l\times h+w\times h)

From the diagram, it can be seen that

\begin{gathered} l=\text{length}=5\operatorname{cm} \\ w=\text{width}=4\operatorname{cm} \\ h=\text{height}=5\operatorname{cm} \end{gathered}

Substitute the given into the formula as shown below:

\begin{gathered} A_{\text{Cuboid Surface Area}}=2(l\times w+l\times h+w\times h) \\ A_{\text{Cuboid Surface Area}}=2(5cm\times4cm+5cm\times5cm+4cm\times5cm) \\ A_{\text{Cuboid Surface Area}}=2(20cm^2+25cm^2+20cm^2) \\ A_{\text{Cuboid Surface Area}}=2(65\operatorname{cm}^2) \\ A_{\text{Cuboid Surface Area}}=130\operatorname{cm}^2 \end{gathered}

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1 year ago
Find an equation for the nth term of the arithmetic sequence.
vekshin1
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Can someone help me with these 5 question I have attached?
Contact [7]

Example 2: x=10

Example 3: x=-1

Example 4: x=35

Example 5: a-b+c=9

Example 6: x=1, x=1/2

Further explanation:

<u>Example 2:</u>

\sqrt{4x-4} =6

Taking Square on both sides

(\sqrt{4x-4})^2 =(6)^2\\4x-4=36\\4x=36+4\\4x=40\\\frac{4x}{4}=\frac{40}{4}\\x=10

<u>Example 3:</u>

9+\sqrt{4x+8}=11

Subtracting 9 from both sides

9-9+\sqrt{4x+8}=11-9\\\sqrt{4x+8}=2\\

Taking Square on both sides

(\sqrt{4x+8})^2=(2)^2\\4x+8=4\\4x=4-8\\4x=-4\\\frac{4x}{4}=-\frac{4}{4}\\x=-1

<u>Example 4:</u>

8+\sqrt{x+1}=2

subtracting 8 from both sides

8-8+\sqrt{x+1}=2-8\\\sqrt{x+1}=-6

Taking Square on both sides

(\sqrt{x+1})^2=(-6)^2\\x+1=36\\

Subtracting 1 from both sides

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<u>Example 5:</u>

\sqrt{a-b+c}=3

Taking Square on both sides

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2\sqrt{2x-1}=4x-2

Taking square on both sides

(2\sqrt{2x-1})^2=(4x-2)^2\\4(2x-1)=16x^2+4-16x\\8x-4=16x^2-16x+4\\8x=16x^2-16x+4+4\\8x=16x^2-16x+8\\16x^2-16x-8x+8=0\\16x^2-24x+8=0

dividng whole equation by 8

2x^2-3x+1=0\\2x^2-2x-x+1=\\2x(x-1)-1(x-1)=0\\(2x-1)(x-1)=0\\2x-1=0 => x=\frac{1}{2}\\x-1=0 => x=1

Keywords: Radical Expressions, Examples

Learn more about radical expressions at:

  • brainly.com/question/8145673
  • brainly.com/question/10071175

#LearnwithBrainly

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