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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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About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Annette [7]

Answer:

<em>Standard deviation  for the number of people with the genetic mutation = 4.178</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given random sample size 'n' =600

proportion of the Population 'p'=3% or  0.03

Let 'X' be the random variable in binomial distribution

Mean of the  binomial distribution

                              μ = n p

                                 = 600 X 0.03

                                = 18

<em>Mean of the  binomial distribution ' μ ' =18</em>

<em>Standard deviation of the binomial distribution</em>

<em>                                 σ = </em>\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178

<u><em>Conclusion:</em></u><em>-</em>

<em>Standard deviation  for the number of people with the genetic mutation = 4.178</em>

8 0
3 years ago
The diagnosis of a square are a.perpendicular
makkiz [27]

Answer

The correct answer is B

Step-by-step explanation:

It is B because squares don't intersect so it cant be a

They are always congruent and equal so not c or d it has to be B

6 0
3 years ago
X squared plus 5x plus 6 in a factor of binomials
Nadusha1986 [10]

Answer:

(x + 3)(x + 2)

Step-by-step explanation:

Given

x² + 5x + 6

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 3 and + 2 , since

3 × 2 = 6 and 3 + 2 = 5 , thus

x² + 5x + 6 = (x + 3)(x + 2)

5 0
3 years ago
What is 8 divided by 4
Gennadij [26K]
2 because u divide 8 by 4 and u get the answer 2
8 0
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The radius of a circle is 6 millimeters. What is the circle's circumference?
Gala2k [10]

Answer:

C =37.68 mm

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

C = 2(3.14)*6

C =37.68 mm

4 0
3 years ago
Read 2 more answers
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