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3 years ago

Function : y=4 sin(3x)-2

1 answer:

4 0

So the 4 represents the amplitude of the function. We can also see that because it is a positive number, the graph is even. ⁽⁽The number before the graph type (Sin or Cos) always represents the amplitude. The amplitude is how many units the graph travels up and down from the midline.
The -2 is the midline. This means that the midline is at -2 on the Y-axis. To find the max and min, you then add the amplitude to find the maximum, and subtract to find the minimum. [-6. 2]
To find the period, you divide 2π by the term in front of x. In this case, it's 3, so we do 2π/3. This cannot be simplified further, but in degrees this equals 120°. This means that, with the question asking for 2 full cycles, that the graph will go through 2 full cycles in 240°

Hope this helps, sorry i couldn't sketch the graph for you

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3 years ago

Invest $6,300 in two different accounts the first account paid 11% the second account paid 6% in interest at the end of the year

MAVERICK [17]

Answer: he invested $5300 at 11% and $1000 at 6%

Step-by-step explanation:

Let x represent the amount which he invested in the first account paying 11% interest.

Let y represent the amount which he invested in the second account paying 6% interest.

He Invest $6,300 in two different accounts the first account paid 11% the second account paid 6% in interest. This means that

x + y = 6300

The formula for determining simple interest is expressed as

I = PRT/100

Considering the first account paying 11% interest,

P = $x

T = 1 year

R = 11℅

I = (x × 11 × 1)/100 = 0.11x

Considering the second account paying 6% interest,

P = $y

T = 1 year

R = 6℅

I = (y × 6 × 1)/100 = 0.06y

At the end of the year, he had earned $643 in interest , it means that

0.11x + 0.06y = 643 - - - - - - - - - -1

Substituting x = 6300 - y into equation 1, it becomes

0.11(6300 - y) + 0.06y = 643

693 - 0.11y + 0.06y = 643

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3 years ago

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Answer:

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