A person places $81200 in an investment account earning an annual rate of 3.6%, compounded continuously. Using the formula V = Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 13 years.​

Answer: The estimated product is 81

8.82 and 9.41 are both 9 rounded to the nearest whole number

Therefore, 9*9=81.

Answer:

The unit price is .45

Step-by-step explanation:

You divide the price by the item

- 8.10÷18=.45

Answer:

Option A ( -3/2 , [tex]\frac{-3\sqrt{3} }{2}[/tex] )

Step-by-step explanation:

(For Diagram, Please Find in attachment)

Now In Triangle OAB

        1/2 = -X / 3 Thus X= -3/2

        [tex]\sqrt{3}[/tex]/2 = -Y / 3 Thus Y = -[tex]\sqrt{3}[/tex] * 3 /2

Answer:

The answer is [tex]3^3\times 2^2[/tex].

Step-by-step explanation:

According to the rules of exponents

a^n = a x a x a x .... n times

So,

[tex]3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}[/tex]

Answer:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ 2\sqrt{x } } [/tex]

Step-by-step explanation:

we want to differentiate the following by using limit:

[tex] \displaystyle \frac{d}{dx} \sqrt{x} [/tex]

derivative definition by limit given by

[tex] \rm \displaystyle \frac{d}{dx} = \lim _{\Delta x \to 0} \left( \frac{f(x + \Delta x) - f(x)}{ \Delta x} \right) [/tex]

given that,

f(x)=√x

so,

f(x+∆x)=√(x+∆x)

thus substitute:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \sqrt{x + \Delta x}- \sqrt{x} }{ \Delta x} \right) [/tex]

multiply both the numerator and denominator by the conjugate of the numerator:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \sqrt{x + \Delta x}- \sqrt{x} }{ \Delta x} \times \frac{ \sqrt{x + \Delta x} + \sqrt{x} }{\sqrt{x + \Delta x} + \sqrt{x}} \right) [/tex]

simplify which yields:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ (\sqrt{x + \Delta x}) ^{2} - x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

simplify square:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{ \Delta x \to 0} \left( \frac{ x + \Delta x - x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

collect like terms:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \Delta x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

reduce fraction:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ 1 }{ (\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

get rid of ∆x as we are approaching its to 0

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ \sqrt{x } + \sqrt{x}} [/tex]

simplify addition:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ 2\sqrt{x } } [/tex]

and we are done!

Answer:25,000(0.15)^x

Step-by-step explanation:

I think this is the answer because there are 25,000 gray wolf in the world and they are expected to grow by 15%. 15% is .15. So those two numbers multiplied, to the x exponent should give you the answer of how large the wolf population is expected to be.

Answer:

raj

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Have a nice day

Answer:

4562.50 per month

Step-by-step explanation:

To find the monthly salary, divide by the number of months ( which is 12)

54750/12

4562.50 per month

Step-by-step explanation:

2⁶X5⁴X3¹²/2²x5²x3⁴

2⁴ × 5²×3⁸

Answer:

Step-by-step explanation:

[tex]\frac{2^{6}*5^{4}*3^{12}}{2^{2}*5^{2}*3^{4}}=2^{6-2}*5^{4-2}*3^{12-4}\\\\\\=2^{4}*5^{2}*3^{8}[/tex]

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}, m>n[/tex]

In exponent division, if both numbers have same base, subtract the exponents.

Answer:

Step-by-step explanation:

Since this is not a right triangle, we will use the Law of Sines. For us that looks like this:

[tex]\frac{sin55}{3.5} =\frac{sinx}{4}[/tex] and cross multiply to get

4sin55 = 3.5sinx and solve for sinx:

[tex]sinx=\frac{4sin55}{3.5}[/tex] so

sinx = .9361737 Use the 2nd button on your calculator and the sin button to find that the angle

x = 69.4°. Not sure how you need it rounded. It's actually 69.4186°

Answer:

It is 70

Step-by-step explanation:

Khan Academy

Answer:

3mm brainliest please

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

9mm times 1:3 of the rectangle is 245

hope it helps you ♡

see the attachment for further information

Answer:

100

Step-by-step explanation:

Given:

Tn = 2n

Where,

n = nth term

what will be its 50th term?

Tn = 2n

T(50) = 2(50)

= 100

T(50) = 100

Therefore,

The 50th term = 100

Answer:

-5

Step-by-step explanation:

The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here,

We have to determine:

Which statement correctly describes the graph of g(x) = f(x - 9)?

According to the question

Graph; g(x) = f(x - 9)

here, we have,

The straight-line x=6 is a vertical asymptote of the graph of the function  g(x) = f(x - 9) if at least one of these conditions is true:

we have,

A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.

we know,

Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.

Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.

To know more about Function click the link given below.

brainly.com/question/1491466

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Answer:

x = 4.5

Step-by-step explanation:

thesetwo triangles are similar to we can create a proportion from corresponding sides as follows:

4/9 = 2/x

cross-multiply:

4x = 18

x = 4.5

Answer:

0,1and2 brainliest me plsss po

Answer:

Step-by-step explanation:

y = 4 - 3x + x^2 is to be rewritten in standard form.  To do this, rearrange the terms in order of powers of x, from highest to lowest.

y = 4 - 3x + x^2 becomes y = x^2 - 3x + 4

Answer:

32 is rational number.

Step-by-step explanation:

Because it can be expressed as the quotient of two integers : 32/1

Answer:

the answer is given on the picture

The number of people like only coffee is 30 and the number of people like only tea is 55.

A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.

Let T=tea and C=coffee

n(T)=80

n(C)=55

n(T∩C)=25

People did not like both tea and coffee=30

ii) Number of people surveyed

n(T∪C)=n(T)+n(C)-n(T∩C)

= 80+55-25

= 110

Then,

n(∪)=n(TUC)+People did not like both tea and coffee

= 110+30

= 140

iii) Number of people like only Tea

=n(T)-n(T∩C)

=80-25

=55

iv) Number of people like only coffee

=n(C)-n(T∩C)

= 55-25

= 30

Therefore, the number of people like only coffee is 30 and the number of people like only tea is 55.

To learn more about the Venn diagram visit:

https://brainly.com/question/28060706.

#SPJ2

Answer:

1188

Step-by-step explanation:

33 X 36 = 1188

TO FIND AREA: Height x width= area

Height is 33 Width is 36

40 is just a distraction! :)

Answer:

9

Step-by-step explanation:

When there are any negatives they will always be less then a positive.

-10,-9-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10

The larger the negative the less it is since its so far away from the middle (0)

-Greatest to least

-8,-5,3,9

Answer:

Triangle Sum Theorem

Step-by-step explanation:

These do not give you congruent angles

Answer:

The given table is

Quantity(x)     Price(y)

   1                  2.00

   2                 3.50

   3                 5.00

   4                 6.50

   5                 8.00

   6                 9.00

It means the points on the graph are (1,2), (2,3.50), (3,5), (4,6.50), (5,8) and (6,9).

The graph 1 represents all the above mentioned point, therefore option 1 is correct.

According to the graph 2, at quantity 6 the price of flower is 12, which is not correct. Therefore option 2 is incorrect.

The quantity of flower is always a whole number. So the graph is defined on the whole numbers only. It means the graph is a scatter plot instead of a curve of a straight line.

Therefore the option 3 and 4 are incorrect.

Step-by-step explanation:

Answer:

The intersection point is (2, 3)

Step-by-step explanation:

The given (linear) equations for the point of intersection is required are;

y = x + 1...(1)

3·y + 2·x = 13...(2)

To find the point of intersection without using graph, we note that the point of intersection is the point at which the values of both equations are equal

We find the values of 'x' and y-coordinates at the point of intersection as follows;

Making 'y' the subject of equation (2) gives;

y = (13 - 2·x)/3

When both lines intersect, the 'x' and y-values are the same;

y = x + 1 for the first line, and y = (13 - 2·x)/3 for the second line, therefore, at the intersection point, we have;

y = y

x + 1 = (13 - 2·x)/3

3·(x + 1) = 13 - 2·x

3·x + 3 = 13 - 2·x

3·x + 2·x = 13 - 3

3·x + 2·x = 5·x = 13 - 3 = 10

∴ 5·x = 10

Therefore, at the point of intersection, x = 10/5 = 2

x = 2

'y' is given in equation (1) by y = x + 1, therefore, at the point of intersection, 'x = 2', we get;

y = x + 1

∴ The value of 'y' at the point of intersection is y = 2 + 1 = 3

y = 3

Therefore, the (x, y) coordinate at the point of intersection is (2, 3) which can be written as follows;

The point of intersection = (2, 3).

Answer:

<PCH+<HCK=180-DEGREE BEING IN A STRAIGHT LINE.

3M+58+8M+155=180

11M=180-213

11M=-33

M=-3

SO,

<PCH

3M+58

=3*(-3)+58

=58-9

=49-DEGREE

Answer:

secA = [tex]\frac{65}{63}[/tex]

Step-by-step explanation:

cscA = [tex]\frac{65}{16}[/tex] = [tex]\frac{hypotenuse}{opposite}[/tex]

This is a right triangle with hypotenuse = 65, opposite = 16 and

adjacent = [tex]\sqrt{65^2-16^2}[/tex] = 63

Then

secA = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{65}{63}[/tex]