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kicyunya [14]
3 years ago
8

Write write an exponential growth function for the following situation you are depositing $5,000 into a bank with an interest ra

te of 9% for x years
Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0

\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &5000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=5000(1+0.09)^x\implies A=5000(1.09)^x

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After Ken Dial had his "‘aha’ moment" (line 41), he
galina1969 [7]

The correct option is c. how the birds dealt with gradually steeper inclines.

After Ken Dial had his "‘aha’ moment" (line 41), he observed how the birds dealt with gradually steeper inclines.

<h3>Who was Ken Dial?</h3>

In 1988, Dr. Dial was appointed as a biology professor at the of Montana. Dial was the creator and deputy director of the University of Montana Flight Laboratory, as well as the director of the University of Montana Field Research Facility at Fort Missoula.

Some key features regarding Ken Dial are-

  • He taught graduate courses in East African evolutionary biology for three decades.
  • Ken, a pilot with over 35 years of experience, is certified to fly numerous types of jet aircraft but loves backcountry flying onto remote airfields as in Montana-Idaho wilderness.
  • Ken created and presented 26 episodes of "All Bird TV" on the Animal Planet channel of the Discovery Channel.
  • Dial is still a frequent keynote speaker at scientific & aeronautical conferences across the world.
  • He just left his full-time position as a professor at the University of Montana to devote more time to wildlife & land conservation initiatives in Tanzania, Kenya, southern California, and western Montana.

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7 0
2 years ago
Ben needs to run 3 kilometers. He already ran 1,200 meters. How much farther does he need to run?
Tanya [424]
1800 meters or 1.8 kilometers
7 0
3 years ago
In a cookie mix, we find ginger cookie, molasses cookies, and pinwheel cookie in a ratio of 1:2:7. If a bag of the mix contains
liraira [26]

Answer:

Step-by-step explanation:It must be an equal ratio- 2:3:7 = n:n:112

Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.

To get from 7 to 112, we must multiply by 16. This is the relationship.

So, we must multiply both, the walnut and raisin cookies by 16 also.

2 x 16 = 32 = Raisin

3 x 16 = 48 = Walnut

Already known: 112 = Pinwheel

Now that we have all the data, we can make the ratio.

Raisin : Walnut : Pinwheel

32 : 48 : 112

Hope this helps! :)

5 0
3 years ago
Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8
RSB [31]

Answer: We can find angle BAC by using (1) SinA = 9.8/12

(2) CosA = 6.9/12

(3) TanA = 9.8/6.9

Step-by-step explanation: The question indicates that we have a right angled triangle ABC with the right angle at point C (that is, angle ACB is the right angle). Also the three sides have been labeled as AB equals 12 cm, CB equals 9.8 cm and AC equals 6.9 cm. Line AB has been identified as the hypotenuse and angle A (that is, BAC) is the reference angle. If angle A is the reference angle, then line CB facing angle A shall be the opposite side, while line AC is the adjacent (which lies between the reference angle and the right angle). Please see the attached diagram for details.

Having these details available, we can actually find angle A by using any of the three trigonometric ratios, since all three sides are given. Hence,

SinA = opposite/hypotenuse

SinA = 9.8/12

SinA = 0.8167

Checking with your calculator or table of values, A = 54.76 (approximately 55)

Also CosA = adjacent/hypotenuse

CosA = 6.9/12

CosA = 0.5750

Checking with your calculator or table of values A = 54.90 (approximately 55).

Finally TanA = opposite/adjacent

TanA = 9.8/6.9

TanA = 1.4203

Checking with your calculator or table of values A = 54.83 (approximately 55).

3 0
3 years ago
I need help on this question, please stop by.
maksim [4K]

Answer:

last option from the left

Step-by-step explanation:

To find the price of one water bottle, we can calculate 6 / 24 because 24 bottles cost $6. Now, to find the price of 10 bottles, we can multiply the price of 1 bottle by 10 so the answer is 6 / 24 * 10.

8 0
3 years ago
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