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11Alexandr11 [23.1K]
2 years ago
6

Terry invested money in a biotech stock whose growth is modeled by the function f(x) = 0.01(2)x, where x represents number of da

ys. Find the approximate average rate of change from day 2 to day 10.
Mathematics
2 answers:
Luden [163]2 years ago
8 0

Answer:

The average rate of change is 1.275

strojnjashka [21]2 years ago
3 0

Answer:

The average rate of change is 1.275

Step-by-step explanation:

The average rate of change of f(x) from x=a to x=b is given by:

\frac{f(b)-f(a)}{b-a}

The money Terry invested is modeled by the function f(x)=0.01(2)^x where x represents number of days.

The average rate of change from day 2 to day 10 is given by:

\frac{f(10)-f(2)}{10-2}

f(10)=0.01(2)^{10}=10.24

f(2)=0.01(2)^{2}=0.04

The average rate of change becomes:

\frac{10.24-0.04}{8}

=\frac{10.2}{8}=1.275

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faltersainse [42]

Answer:

The amount that should be in the account after 15 years is $95,321.85

Step-by-step explanation:

According to the given data, we have the following:

monthly amount of $220=R

interest rate is fixed at 2.05%. We require the monthly ineterest rate, hence monthly interest rate= 2.05%/12=0.1708%=0.0017

t=15years×12=180 months

In order to calculate how much should be in the account after 15 years, we would have to use the following formula:

Ap=<u>R(1-(1+i)∧-t)</u>

             i

Ap=<u>220(1-(1+0.0017)∧-180)</u>

                       0.0017

Ap=<u>162,04</u>

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Ap=$95,321.85

The amount that should be in the account after 15 years is $95,321.85

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6 0
2 years ago
Question 45 A length of pipe that weighs 45 pounds is cut into two pieces. One of the pieces is 3 feet long and weighs 18 pounds
dmitriy555 [2]

Answer: 4.5 pounds.

Step-by-step explanation:

Given : Weight of original pipe =45 pounds

Weight of first piece = 18 pounds

Then, Weight of  other piece = 45- 18 =  27 pounds

Length of first piece = 3 feet

Let x be the length of other piece.

As length is directly proportional to weight.

Then, \dfrac{x}{27}=\dfrac{3}{18}

\Rightarrow\ \dfrac{x}{27}=\dfrac{1}{6}\\\\\Rightarrow\ x=\dfrac{1}{6}\times27 =4.5

Hence, the he length of the other piece = 4.5 pounds.

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2 years ago
A faucet is leaking water at a rate of 2.5 cups per hour. How many cups of water will leak in 8 hours? A. 3.2
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Answer:

20

Step-by-step explanation:

In 8 hours, it will leak 2.5 * 8 = 20 cups of water.

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2 years ago
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in short, half the distance of AC must be equals to the distance of B to the midpoint of AC, if indeed AC is the diameter.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{12}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{12+7}{2}~~,~~\cfrac{3+4}{2} \right)\implies \left( \cfrac{19}{2}~~,~~\cfrac{7}{2} \right)=M\impliedby \textit{center of the circle}

now, let's check the distance from say A to the center, and check the distance of B to the center, if it's indeed the center, they'll be the same and thus AC its diameter.

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\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}}) \\\\\\ BM=\sqrt{\left( \frac{19}{2}-10 \right)^2+\left( \frac{7}{2}-6 \right)^2} \\\\\\ BM=\sqrt{\left( -\frac{1}{2}\right)^2+\left( -\frac{5}{2} \right)^2}\implies \boxed{BM\approx 2.549509756796392}

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Answer:

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Step-by-step explanation:

Let the height of the previous jump be represented by j.  Then 1.1j = 5.5 ft.

Dividing both sides by 1.1, we get j = 5 ft.  This was the height of the previous jump.

3 0
2 years ago
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