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alisha [4.7K]
2 years ago
6

Ken has an investment account which compounds interest continuously at a rate of 3.4%. After 4 years, he has $4400 in the accoun

t. How much money did he initially place in the account? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.
Mathematics
2 answers:
Maksim231197 [3]2 years ago
5 0

Answer:

$6617

Step-by-step explanation:

Use the formula for calculating compound interest A=P0ert where A is the unknown, P0=4400, r=0.034, and t=12. Substitute the values into the formula and simplify.

A=4400e0.034⋅12

A=4400e0.408

A=4400(1.503...)

A=6616.75

After 12 years, there will be A≈6617 in the account, rounded to the nearest dollar.

Alenkinab [10]2 years ago
3 0

Answer:

$3841

Solve the formula for calculating compound interest

a=Pe rt for

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Answer:

49

Step-by-step explanation:

f(5)=8×5+9=40+9=49

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Please help. It's algebra
spayn [35]

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Step-by-step explanation: Hope this helps

7 0
3 years ago
Voltage sags and swells. The power quality of a transformer is measured by the quality of the voltage. Two causes of poor power
zysi [14]

Answer:

a

 z-score = 1.57

b

 z-score_s = -3.36

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  103  

    The  sample mean of  sag is  \= x_1 =  353

     The sample mean of swells is  \= x_2 =  184

    The standard deviation of  sag is  s_1  =  30

     The standard deviation of swells is  s_2  =  25

     The number of swell for a randomly selected transformer is  k  =  100

      The number of sag for a randomly selected transformer is  c  =  400

Generally the z-score for the number of swells is mathematically represented as

     z-score_s = \frac{ k - \= x_2}{s_2}

=>   z-score_s = \frac{ 100- 184}{25}

=>     z-score_s = -3.36

       

Generally the z-score for the number of sags is mathematically represented as    

      z-score = \frac{ c - \= x_1}{s_1}

     z-score = \frac{ 400 - 353}{30}

     z-score = 1.57

4 0
3 years ago
Charlotte reads 8 1/3 pages of a book in 10 minutes. What is her average reading rate in pages per minute?
sukhopar [10]
8\frac{1}{3} = \frac{25}{3}

25/3 pages of a book in 10 minutes

Multiply both numbers by the reciprocal of 10, which is 1/10

\frac{25}{3} \times\frac{1}{10} = \frac{25}{30}=\frac{5}{6}

10\times\frac{1}{10}= 1

So, Charlotte reads 5/6 pages of a book in 1 minute.
8 0
3 years ago
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