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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: 0.939\ or\ 93.9\%

Step-by-step explanation:

Given

Survey shows that 16% of college students have dogs and 38% have HBO subscription

Probability that a random person have both is

\Rightarrow P_o=0.16\times 0.38\quad [\text{As both events are independent}]\\\Rightarrow P_o=0.0608

The probability that the random person has neither of the two is

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What is the quotient of (x^3 - 3x^2 + 3x - 2) ÷ (x^2 - x + 1)?
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Answer:

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The choose (1)

Step-by-step explanation:

(x³-3x²+3x-2)÷(x²-x+1)

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Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass funct
Basile [38]

This question is incomplete, the complete question is;

Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass function for X is:

x     0       0.5       1       1.5       2       2.5

f(x)  0.1     0.2     0.3    0.2     0.1       0.1

determine;

a) P( X < 2.5 )

B) P( 0.75 < X ≤ 1.5 )

Answer:

a) P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 ) = 0.5

Step-by-step explanation:

Given the data in the question;

The probability mass function for X is:

x     0       0.5       1       1.5       2       2.5

f(x)  0.1     0.2     0.3    0.2     0.1       0.1

a) P( X < 2.5 )

P( X < 2.5 ) = p[ x = 0 ] + p[ x = 0.5 ] + p[ x = 1 ] + p[ x = 1.5 ] + p[ x = 2 ]

so

P( X < 2.5 ) = 0.1 + 0.2 + 0.3 + 0.2 + 0.1

P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 )

P( 0.75 < X ≤ 1.5 ) = p[ x = 1 ] + p[ x = 1.5 ]

so

P( 0.75 < X ≤ 1.5 ) = 0.3 + 0.2

P( 0.75 < X ≤ 1.5 ) = 0.5

3 0
3 years ago
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