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zubka84 [21]
2 years ago
11

Determine how much time

Mathematics
1 answer:
IgorC [24]2 years ago
7 0

Answer: 11 years

Step-by-step explanation:

You can use the Rule of 72 which is a way to calculate quickly, the time it will take for an investment to double given its interest rate.

It works by:

= 72 / Interest rate

Rate is compounded quarterly so the periodic rate is:

= 6.56%/4

= 1.64%

Time taken to double = 72/1.64

= 43.9 quarters

In years that is:

= 43.9/4

= 11 years

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Steve found 43 seashells
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2 years ago
The graph represents the function (check picture)
Taya2010 [7]

Answer:

a = 1 and b = -12

Step-by-step explanation:

* Lets look to the graph to solve the problem

- f(x) is a rational function with:

# numerator ⇒ x² - 4x + 3

# denominator ⇒ x² + ax + b

- To find the values of a and b lets use the hole and the vertical

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∵ There is a hole at x = 3

- The hole appears when the numerator and the denominator have

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∵ x = 3 ⇒ subtract 3 from both sides

∴ x - 3 = 0

∴ The numerator and the denominator have a factor (x - 3)

- The vertical asymptotes appear at the zeros of the denominator

  that means the values of x when the denominator = 0

∵ There is a vertical asymptote at x = -4

∵ x = -4 ⇒ add 4 for both sides

∴ x + 4 = 0

∴ The denominator has another factor (x + 4)

- The denominator x² + ax + b has two factors (x - 3) and (x + 4) lets

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∵ (x - 3)(x + 4) = (x)(x) + (x)(4) + (-3)(x) +(-3)(4)

∴ (x - 3)(x + 4) = x² + 4x - 3x - 12 = x² + x - 12

∴ x² + ax + b = x² + x - 12

- By comparing the two sides

∴ a = 1 and b = -12

8 0
3 years ago
I Dont understand what to do
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You need to find the area of this
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The Rodriguez family dined at a restaurant. Their bill came to $119 plus 9% sales tax. They also plan to leave a 22% tip on the
emmasim [6.3K]

Answer:

156

Step-by-step explanation:

8 0
2 years ago
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a person leaves their house to go to the store. it takes 15 minutes at 12 mph to get to the store. They return home at 31 mph. W
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\bf \cfrac{\stackrel{speed~forth}{12}+\stackrel{speed~back}{31}}{\stackrel{interval~forth}{1}+\stackrel{interval~back}{1}}\implies \cfrac{43}{2}\implies 21.5mph\textit{ on average}
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3 years ago
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