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MariettaO [177]
3 years ago
9

Approximately how many

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:

6.25 years

(6 years 3 months)

Step-by-step explanation:

<u />

<u>Simple interest formula</u>

A = P(1 + rt)

where:

  • A = final amount
  • P = principal
  • r = interest rate (in decimal form)
  • t = time (in years)

Given:

  • A = $1,500
  • P = $1,000
  • r = 8% = 0.08

Substitute given values into the formula and solve for t:

⇒ 1500 = 1000(1 + 0.08t)

⇒ 1500 = 1000 + 80t

⇒ 500 = 80t

⇒ t = 6.25 years

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Diagram shows two perpendicular straight lines,OB and CBD,drawn on a Cartesian plane.
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Answer: (a) y = -3x + 10

               \bold{(b)\x=\bigg(\dfrac{10}{3},0\bigg)}  

<u>Step-by-step explanation:</u>

The slope of line CD is perpendicular to line OB, which means they have opposite and reciprocal slopes.

Step 1: Find the slope of OB using the formula: m=\dfrac{y_2-y_1}{x_2-x_1}

(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 1)

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(x₁, y₁) = (3, 1) because it is the point the line will pass through

y - 1 = -3(x - 3)

y - 1 = -3x + 9      <em>distributed -3 into (x - 3)</em>

y      = -3x + 10    <em>added 1 to both sides</em>

***********************************************************************

The x-intercept of DQ is the same x-intercept as CD.  The x-intercept is when y = 0

y = -3x + 10

0 = -3x + 10

-10 = -3x       subtracted 10 from both sides

\dfrac{10}{3}=x    <em>divided both sides by -3</em>


3 0
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