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Anestetic [448]
3 years ago
13

Use the given information to find the amount in the account earning compound interest after six years with the principle is 3500

R equals 2.29% compounded monthly
Mathematics
1 answer:
tia_tia [17]3 years ago
8 0

Answer:

The Amount in account after 6 years is $4014.976

Step-by-step explanation:

Given as :

The principal = p = $3500

The rate of interest = r = 2.29% compounded monthly

The time period = t = 6 years

Let The Amount in account after 6 years = $A

<u>From Compound Interest method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{12\times 100})^{12\times time}

Or, A = p × (1+\dfrac{\textrm r}{12\times 100})^{12\times t}

Or, A = $3500 × (1+\dfrac{\textrm 2.29}{12\times 100})^{12\times 6}

Or, A = $3500 × (1.0019083)^{72}

Or, A = $3500 × 1.147136

∴  A = $4014.976

So,The Amount in account after 6 years = A = $4014.976

Hence, The Amount in account after 6 years is $4014.976  Answer

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Suppose that the distribution of typing speed in words per minute (wpm) for experienced typists using a new type of split keyboa
KengaRu [80]

Answer:

a. <u>0.5 or 50%</u>

b. <u>0.496 or 49.6%</u>

c. <u>0.8185 or 81.85%</u>

d. <u>Yes, it would be just 0.0013 or 0.13% of probability to find a typist whose speed exceeds 105 wpm</u>

e. <u>0.0252 or 2.52%</u>

f. <u>The qualifying speed would be 47.4 wpm.</u>

Step-by-step explanation:

a. Let's find the z-score this way:

μ  = 60 σ= 15

z-score = (x - μ)/σ

z-score = (60 - 60)/15

z-score = 0

Now, let's calculate the p value for z-score = 0, using the z-table:

<u>p (z=0) = 0.5 or 50%</u>

b. z-score = (x - μ)/σ

z-score = (59.9 - 60)/15

z-score = -0.01

Now, let's calculate the p value for z-score = -.0.01, using the z-table:

<u>p (z = -0.01) = 0.496 or 49.6%</u>

If the question were less or equal than 60, a and b would have the same answer. But in this case, the question is "less than 60 wpm".

c.

z-score = (x - μ)/σ

z-score = (45 - 60)/15

z-score = - 1

Now, let's calculate the p value for z-score = -1, using the z-table:

p (z = -1) = 0.1587

z-score = (x - μ)/σ

z-score = (90 - 60)/15

z-score = 2

Now, let's calculate the p value for z-score = 2, using the z-table:

p (z = 2) = 0.9772

<u>In consequence,</u>

<u>p (-1 ≤ z ≤ 2) = 0.9772 - 0.1587 = 0.8185 or 81.85%</u>

d. z-score = (x - μ)/σ

z-score = (105 - 60)/15

z-score = 3

Now, let's calculate the p value for z-score = 3, using the z-table:

p (z = 3) = 0.9987

In consequence,

p (z > 3) = 1 - 0.9987 = 0.0013

<u>Yes, it would be just a 0.13% of probability to find a typist whose speed exceeds 105 wpm.</u>

e. z-score = (x - μ)/σ

z-score = (75 - 60)/15

z-score = 1

Now, let's calculate the p value for z-score = 1, using the z-table:

p (z = 1) = 0.8413

In consequence,

p (z > 1) = 1 - 0.8413 = 0.1587

and if the two typists are independently selected, then

p = 0.1587 * 0.1587

<u>p = 0.0252 or 2.52%</u>

f. p = 0.2, using the z-table, the z-score is -0.84, then:

z-score = (x - μ)/σ

-0.84 = (x - 60)/15

-12.6 = x - 60

-x = -60 + 12.6

-x = - 47.4

x = 47.4

<u>The qualifying speed would be 47.4 wpm.</u>

8 0
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Vitek1552 [10]

Answer:

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Step-by-step explanation:

Let x represent the multiplier of the ratio units. Then the perimeter is the sum of the side lengths:

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  52 = 13x . . . . . . . . subtract 25

  x = 4 . . . . . . . . . divide by 13

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