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Brrunno [24]
3 years ago
10

Given an investment of $2300, after 7 months, earning 6.6% APR, compounded monthly, the future value is given by

Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0

we are given

investment amount is 2300

so,

P=2300

r=6.6%

r=0.066

it is compounded monthly

so,

n=12

now, we can use formula

FV=P(1+\frac{r}{n})^{nt}

now, we can plug values

t=7/12

and we get

FV=2300(1+\frac{0.066}{12})^{7}

now, we can find FV

FV= $2390.02454............Answer

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Sphinxa [80]

The valid probability distributions are the ones in options C and D.

<h3>Which of the following are valid probability distributions?</h3>

For discrete random variables with probabilities p₁, p₂, ..., pₙ, there are two rules:

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  • p₁ + p₂ + ... + pₙ = 1.

So, for the first rule we can discard the first option, where we have negative probabilities.

To check the other 4 options, just add the probabilities and see if the addition gives 1.

The options that add up to 1 are C and D, so these two are the correct options.

D: 1/5 + 1/10 + 1/10 + 1/10 + 1/5 + 1/10 + 1/10 + 1/10 = 1

C: 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1

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2 years ago
Enter a fraction that is equivalent to 1/5 with a numerator of 8.
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Step-by-step explanation:

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3 years ago
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3 years ago
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The surface area of the prism below is 264 square units . Find the missing dimensions of this prism. ( picture is in the picture
nignag [31]

Answer:

The missing dimension is 4 units.

Step-by-step explanation:

In the given prism,

Of all the surfaces,

There are three rectangular surfaces and two triangular surfaces

<h2>Analyzing areas of rectangular surfaces:</h2>

1)The two rectangles with dimensions of 15 units and 5 units:

The area of each rectangle = Length of rectangle \times Breadth of rectangle

From the diagram,

Length of rectangle = 15 units,

Breadth of rectangle = 5 units.

Area of each rectangle = 15\times 5 ;

Area of each rectangle = 75 square units.

Sum of areas of the two rectangles = 2\times 75

Sum of areas of the two rectangles = 150 square units (equation 1)

2) The rectangle with the dimensions 15 units and 6 units:

The area of thus rectangle=  Length of rectangle \times Breadth of rectangle

From the diagram,

Length of rectangle = 15 units,

Breadth of rectangle = 6 units.

Area of the rectangle = 15\times 6 ;

Area of the rectangle = 90 square units. (equation 2)

From equation 1 and equation 2,

Therefore sum of areas of all rectangles in the prism = 150 + 90

Sum of areas of rectangles = 240 square units.

We also know,

Total surface area of the prism = Sum of areas of triangles + Sum areas of rectangles

Given, Total surface area of prism = 264 square units.

Therefore from the formula,

Sum of areas of triangles = Total surface area - sum of areas of reactangles

Sum of areas of triangles = 264 - 240

Sum of areas of triangles = 24 square units. (equation 3)

Let the missing dimension be 'h units'

<h2>Calculating sum of areas of triangles:</h2>

From diagram,both triangles are congruent,hence have the same area

Area of a triangle = \frac{1}{2}\times base\times height

From diagram,

Base = 6 units,

Height = h units.

Area of a triangle =\frac{1}{2}\times 6\times h = 3h square units.

Sum of the areas of both triangles = 3h+3h = 6h square units.

Using equation 3, we get

6h = 24;

h = \frac{24}{6}

Therefore,

h = 4 units.

Therefore,

The missing dimension is 4 units.

4 0
3 years ago
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