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boyakko [2]
3 years ago
13

Which function does the graph represent

Mathematics
2 answers:
kherson [118]3 years ago
8 0

Answer:

The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.

Step-by-step explanation:

myrzilka [38]3 years ago
3 0

Answer:

The answer is d

Step-by-step explanation:

I graphed it

-b/2a to get the vertex

3x^2-12+9

-(-12)/(2)(3)=2

plug in 2 to the function

12-24+9=-3 which is the y value on the graph

(2,-3) is the vertex

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Answer:

f(g(5)) = 16.5

Step-by-step explanation:

To calculate f(g(5)), evaluate g(5) then substitute the value obtained into f(x)

g(5) = \frac{1}{2} × 5 = 2.5 , then

f(2.5) = 5(2.5) + 4 = 12.5 + 4 = 16.5

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3 years ago
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Step-by-step explanation:

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3 years ago
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How much money should be deposited today in an account that earns 6% compounded monthly so that it will accumulate to $1000000 (
aleksandr82 [10.1K]

Answer:

The principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

Step-by-step explanation:

Given

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  • Interest rate r = 6% = 0.06
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To determine:

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Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

P\:=\frac{A}{\left(1\:+\:\frac{r}{n}\right)^{nt}}

substituting A = 1000000, r =  0.06, t = 45, and n = 12

P\:=\frac{1000000}{\left(1\:+\:\frac{0.06}{12}\right)^{12\cdot 45}}\:

    =\frac{1000000}{1.005^{540}}

P = 67659.17 $

Therefore, the principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

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3 years ago
Identify if the following sequence is arithmetic or geometric.
olasank [31]

Answer:

Arithmetic

Step-by-step explanation:

  Because arithmetic sequences are sequences where the values have a constant change. But Geometric sequences are when the ratois of the values have constant change.

Hope This Helped :)

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3 years ago
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