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statuscvo [17]
3 years ago
15

Ted invests $8,310 in a savings account with a fixed annual interest rate of 2% compounded continuously. How long will it take f

or the account balance to reach it take for the account balance to reach $9,751.88?
Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0

Answer: It will take 8 years.

Step-by-step explanation:

Equation for interest compounded continuously:

A=Pe^{rt} , A = accumulated amount , P=Principal value , r =rate of interest , t= time.

Given: P=  $8,310 , r = 2%  , A= $9,751.88

9751.88=8310e^{0.02t}\\\\\Rightarrow\ \dfrac{9751.88}{8310}=e^{0.02t}\\\\\Rightarrow\ 1.17351143201=e^{0.02t}

Taking natural log on both sides

\ln (1.17351143201)=\ln (e^{0.02t})\\\\\Rightarrow\ 0.160000478068=0.02t\\\\\Rightarrow\ t=\dfrac{0.160000478068}{0.02}\\\\\Rightarrow\ t=8.0000239034\approx8

Hence, it will take 8 years.

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Lin wants to bike 9/10 of a mile .She has already biked 4/10 of a mile How much further does she have to bike
maw [93]

Answer: 5/10 or 1/2 mile

Step-by-step explanation: If you subtract 4/10 from 9/10, you get 5/10 miles left to bike. 5/10 simplifies to 1/2 mile.

5 0
2 years ago
Christopher and Edward were painting wagon wheels for the school play. The pictures show how much of the wheels they painted. Ho
Marina CMI [18]

Using fractions, it is found that \frac{43}{45} of a wheel still needs to be painted.

  • On the first wheel, 4 of the 9 equal parts have been painted, that is, \frac{4}{9} of the wheel has been painted, hence \frac{5}{9} has not been painted.
  • On the second wheel, 6 of the 10 equal parts have been painted, that is, \frac{6}{10} = \frac{3}{5} of the wheel has been painted, hence \frac{2}{5} has not been painted.

The total fraction that still has to be painted is:

\frac{5}{9} + \frac{2}{5} = \frac{25 + 18}{45} = \frac{43}{45}

\frac{43}{45} of a wheel still needs to be painted.

To learn more about fractions, you can take a look at brainly.com/question/14387610

8 0
3 years ago
The steps for determining the center and radius of a circle using the completing the square method are shown below: Step 1 [orig
Alika [10]

We are given original equation: x^2 -10x + y^2 + 12y = 20

We need to find the enter and radius of a circle using the completing the square method.

The steps are as following :

Step 1 [original equation]: x^2 − 10x + y^2 + 12y = 20 .

Step 2 [group like terms]: (x^2 − 10x) + (y^2 + 12y) = 20

Step 3 [complete the quadratics]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 20 + (25 + 36).

Step 4 [simplify the equation]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 64.

Step 5 [factor each quadratic]: (x − 5)^2 + (y + 6)^2 = 8^2

Step 6 [identify the center and radius]: Center = (5, −6) Radius = 8.

<h3>Step 6 is incorrect.</h3><h3>The center should be (5,-6).</h3><h3> Replace − 5 with + 5 and replace + 6 with − 6.</h3>
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3 years ago
3/4 x 5/6 equals what
SVETLANKA909090 [29]

Answer:

5/8

You just have to multiply the bottom and the top then simplify

7 0
3 years ago
Ill give you 21 brainly if you answer this PLEASE HELP
Daniel [21]

Answer:

3,8

Step-by-step explanation:

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4 years ago
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