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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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Answer:

Here is the diagram that Han drew to represent 0.25. Draw a different diagram that represents 0.25. Explain why your diagram and Han's diagram represent the same number. Figure \(\Page Index{9}\) For each of these numbers, draw or describe two different diagrams that represent it. \(0.1\) \(0.02\) \(0.43\) Use diagrams of base-ten units to.

Step-by-step explanation:

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3 years ago
45.Erica Glaser deposits a check for $20,005.00 and $1.234.00 in cash. What is het total
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Her total is $21,239
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Suppose the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars
GuDViN [60]

Answer:

Probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

Step-by-step explanation:

We are given that the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars. Also, incomes for the industry are distributed normally.

<em>Let X = incomes for the industry</em>

So, X ~ N(\mu=95,\sigma^{2}=5^{2})

Now, the z score probability distribution is given by;

         Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean income of firms in the industry = 95 million dollars

            \sigma = standard deviation = 5 million dollars

So, probability that a randomly selected firm will earn less than 100 million dollars is given by = P(X < 100 million dollars)

    P(X < 100) = P( \frac{X-\mu}{\sigma} < \frac{100-95}{5} ) = P(Z < 1) = 0.8413   {using z table]

                                                     

Therefore, probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

5 0
3 years ago
The table shows the coordinates of four points on a line.
kondor19780726 [428]

Answer:f is slope

Step-by-step explanation:

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3 years ago
Coleman uses his graphing calculator to find all of the solutions to the equation shown below.
Phoenix [80]

Answer:

The correct option is;

D. x = -1.38 and 0.82

Please find attached the combined function chart

Step-by-step explanation:

The given equation is x³ + 3 = -x⁴ + 4

Plotting the equation using Excel, we have;

f(x) = x³ + 3, h(x) = -x⁴ + 4

x                                             f(x)                                       h(x)

-1.4                                         0.256                                   0.1584

-1.39                                       0.314381                              0.26699

-1.38                                       0.371928                             0.373261

-1.37                                       0.428647                             0.477246

-1.36                                       0.484544                             0.57898

Which shows an intersection at the point around -1.38

x                                          f(x)                                     h(x)

0.77                                    3.456533                         3.64847

0.78                                    3.474552                         3.629849

0.79                                    3.493039                          3.610499

0.8                                         3.512                                3.5904

0.81                                      3.531441                           3.569533

0.82                                       3.551368                          3.547878

0.83                                       3.571787                            3.525417

Which shows the intersection point around 0.82

Therefore, the correct option is x = -1.38 and 0.82

From the graphing calculator the intersection point is given as

x = -1.3802775691 and 0.81917251339.

8 0
3 years ago
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