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Drupady [299]
3 years ago
14

A company deposits $5,000 into an account that earns interest. The rate at which the value changes is given by dA/dt=0.0225A, wh

ere A(t) is the account value, in dollars, after t years. What will be the value of the account after 10 years if no additional deposits or withdrawals are made?
Mathematics
1 answer:
xxMikexx [17]3 years ago
7 0

Answer:

  $6261.61

Step-by-step explanation:

The solution to the differential equation is the exponential function ...

  A(t) = 5000e^(0.0225t)

We want the account value after 10 years:

  A(10) = 5000e^(0.225) = 6261.61

The value of the account after 10 years will be $6,261.61.

_____

The rate of change equation basically tells you that interest is compounded continuously. After working interest problems for a while you know the formula for that is the exponential formula A = A0·e^(rt).

Or, you can solve the differential equation using separation of variables:

  dA/A = 0.0225dt

  ln(A) = 0.0225t +C . . . . integrate

  A(t) = A0·e^(0.0225t) = 5000·e^(0.0225t) . . . . solution for A(0) = 5000

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geniusboy [140]

Answer:

No, because the reflection of ABC is not congruent to A’B’C’.

Step-by-step explanation:

we know that

The rule of the reflection across the line y=x is equal to

(x,y) -------> (y,x)

so

A(-6,6) -------> A'(6,-6) ----> is ok

B(-3,3) ------> B'(3,-3) ----> is ok

C(-8,2) ------> C'(8,-2) ----> is not ok ( is not a reflection acros the line y=x)

therefore

The triangles are no t congruent, because the reflection of ABC is not congruent to A’B’C’

6 0
2 years ago
Find the median of the data set: -66, -48, -52, -42
olga2289 [7]
-66, -52, - 48, -42


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If you can only have one,then i believe you choose -50, because it is in between -48 and -52

hope this helps
6 0
3 years ago
Mark is planning to run in a 10-km race he will have to run 1 4/5 km uphill, 2 7/10 km downhill, and the rest of the race on lev
777dan777 [17]
<span>Uphill distance = 1 4/5 = 9/5 = 18/10 km Downhill Distance = 2 7/10 = 27/10 km Total Uphill and Downhill = 18/10 + 27/10 = 45/10 = 4.5 km Hence total level ground = Total race km - (Uphill + Downhill) =10 - 4.5 = 5.5 km Hence the answer is 5.5 km.</span>
7 0
3 years ago
If the length of the longest side of a right triangle is 10 inches is 60 degrees, what is the length (in inches) of the shortest
Scorpion4ik [409]
Yep 5 is correct! Good job
6 0
3 years ago
Simplified form the eaquation
IRINA_888 [86]

Answer: C

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