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Marizza181 [45]

3 years ago

5

Jackson deposited $5,000 at 3.8% interest, compounded continuously, when he was 18 years old. How much will be in the account wh

en he is 40 years old if he made no other deposits or withdrawals?

1 answer:

Ivahew [28]3 years ago

6 0

5,000 × 3.8%= 19,000×18= 342,000 × 40 = 13,680,000

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Answer:

a

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Step-by-step explanation:

The number of microchips broken in method A is $n_1 = 400$

The number of faulty breaks of method A is $X_1 = 32$

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The proportion of the faulty breaks to the total breaks in method A is

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For this estimation the standard error is

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substituting values

$SE = \sqrt{ \frac{0.08 (1 - 0.08)}{400} + \frac{0.07 (1- 0.07 )}{400} } }$

$SE = 0.0186$

The z-values of confidence coefficient of 0.95 from the z-table is

$z_{0.95} = 1.96$

The difference between proportions of improperly broken microchips for the two breaking methods is mathematically represented as

$K = [p_1 - p_2 ] \pm z_{0.95} * SE$

substituting values

$K = [0.08 - 0.07 ] \pm 1.96 *0.0186$

$K = - 0.0265 \ or \ K = 0.0465$

The interval of the difference between proportions of improperly broken microchips for the two breaking methods is

$- 0.0265\le K \le 0.0465$

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