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Amanda [17]
3 years ago
8

Suppose you deposit $6000 in a savings account that pays interest at an annual rate of 4% compounded continuously. In 8 years, w

hat will the balance in the account be?
Mathematics
2 answers:
Semenov [28]3 years ago
7 0
Idk sorry for that ‍♀️‍♀️
jeka57 [31]3 years ago
7 0
\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}
\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$6000\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=years\to &8
\end{cases}
\\\\\\
A=6000e^{0.04\cdot 8}\implies A=6000e^{0.32}
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I will mark the brainliest <br> Please answer thank youu!!!
antiseptic1488 [7]

Answer: its option "b"

Pentagon;not regular

Step-by-step explanation:

The polygon has 5 sides but all the sides are not equal

hence, it is an irregular pentagon

Hope this helped you!!

Please Mark as Brainliest!! : )

7 0
3 years ago
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3 years ago
21 first-graders and 54 other students attended a school assembly. What percentage of the students at the assembly were first-gr
Degger [83]
21+ 54= 76

21/76= 27.6%

5 0
3 years ago
A peach orchard owner wants to maximize the amount of peaches produced by her orchard.
qaws [65]

Answer:

  a) Y(x) = {900, x≤30; 900-40(x-30), x>30}

  b) T(x) = {900x, x≤30; 2100x-40x², x>30}

  c) dT/dx = {900, x≤30; 2100-80x, x>30}

Step-by-step explanation:

a) The problem statement gives the function for x ≤ 30, and gives an example of evaluating the function for x = 35. So, replacing 35 in the example with x gives the function definition for x > 30.

\displaystyle Y(x)=\left\{\begin{array}{lcl}900&\text{for}&x\le 30\\900-40(x-30)&\text{for}&x>30\end{array}\right.

__

b) The yield per acre is the product of the number of trees and the yield per tree:

  T(x) = x·Y(x)

\displaystyle T(x)=\left \{\begin{array}{lcl}900x&\text{for}&x\le 30\\2100x-40x^2& \text{for}&x>30\end{array}\right.

__

c) The derivative is ...

\displaystyle\frac{dT}{dx}=\left \{\begin{array}{lcl}900&\text{for}&x\le 30\\2100-80x& \text{for}&x>30\end{array}\right.

_____

The attached graph shows the yield per acre (purple, overlaid by red for x<30), the total yield (black), and the derivative of the total yield (red). You will note the discontinuity in the derivative at x=30, where adding one more tree per acre suddenly makes the rate of change of yield be negative.

6 0
3 years ago
Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k) she can drive with 12 li
masya89 [10]

Answer:

132 kilometers

Step-by-step explanation:

Given: Pamela drove her car 99 kilometers and used 9 liters of fuel.

To find: Number of kilometers Pamela drove in 12 liters of fuel.

Solution:

It is given that Pamela drove her car 99 kilometers and used 9 liters of fuel. Also the relationship between kilometers and fuel is proportional.

So, let us assume that she can travel x kilometers in 12 liters of fuel.

By proportionality we have,

99:9 :: x:12

\frac{99}{9} =\frac{x}{12}

11=\frac{x}{12}

x=12\times11

x=132

Hence, she can travel 132 kilometers in 12 liters of petrol.

7 0
3 years ago
Read 2 more answers
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