Answer:
P = 20000×1.625^(n/4)
Step-by-step explanation:
An exponential equation can be written using the given data:
value = (initial value)×(growth factor in period)^(n/(period))
Here, the growth is by a factor of 32500/20000 = 1.625, and the period is 4 years. Then your exponential equation is ...
P = 20000×1.625^(n/4)
Answer:
(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.
Step-by-step explanation:
Given



Required
Which circle could she use
To do this, we simply calculate the areas of all the given circles
The area of a circle is:

Where


The area is calculated as thus:





The area is calculated as thus:




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The area is calculated as thus:





The area is calculated as thus:




<em>From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2</em>
Answer:
5x^2+22x-12 x cannot be -5, -4, -2
(x+5)(x+4)(x+2)
Step-by-step explanation:
In order to solve this, your denominator must be the same. Let's start by writing out the two different quadratic formulas:
x^2 + 6x + 8 <-- This should factor out to (x+4)(x+2)
x^2 + 7x + 10 <-- This should factor out to (x+5)(x+2)
Now that you have factored out the two quadratics, plug them into the equation.
5x - 3
(x+4)(x+2) (x+5)(x+2)
Now as we know, -2 cannot be x because it will turn the entire equation undefined. Multiple top and bottom with (x+5) on the right side and (x+4) on the left side.
5x (x+5) - 3(x+4)
(x+5)(x+4)(x+2) (x+5)(x+4)(x+2)
Focus on the top. 5x(x+5) will turn out to be 5x^2+25x. 3(x+4) will turn out to be 3x+12. Combine the two equations because now they are equal to each other and do the subtraction:
5x^2+25x - (3x+12) = 5x^2+22x-12 x cannot be -5, -4, -2
(x+5)(x+4)(x+2) (x+5)(x+4)(x+2)
<em>- What two consecutive odd integers have a sum of 48</em>?
23 + 25 = 48
- <em>Two negative consecutive integers have a sum of -45. What are the integers?
</em>
<em />-22 + -23
- <em>The sum of two consecutive integers 75. What are the two integers?</em>
37 + 38 = 75
- <em>What <u>three</u> consecutive odd integers have a sum of 81?
</em>
<em />25 + 27 + 29 = 81
Hope I could help! Have a good one. I believe that is all of the unanswered questions. If I missed one, let me know!<em />