A person places $1380 in an investment account earning an annual rate of 8.6%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , 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 10 years.

Answers

Answer 1

Answer:

V = 3261.16

Step-by-step explanation:

Given:

P = 1380

r = 8.6% or 0.086

t = 10

Work:

[tex]V=Pe^{rt}\\\\V=1380e^{0.086*10}\\\\V=1380e^{0.86}\\\\V=3261.16[/tex]


Related Questions

In AHIJ, HJ is extended through point J to point K, mZIJK = (7x – 15)°,
mZJHI
(3x + 18), and mZHIJ (x + 6)". Find mZJHI.

Answers

Answer:

3x + 18), and mZHIJ (x + 6)". Find mZJHI.

Step-by-step explanation:

it is 86[9=10+3]

Which term below correctly completes the following sentence?

If a function has a vertical asymptote at a certain x-value, then the function is ______ at that value.

A. zero

B. rational

C. negative

D. undefined

Answers

The function has a vertical asymptote at a certain x-value, then the function is undefined at that value.

We have given that,

A function has a vertical asymptote at a certain x-value, then the function------ is at that value.

We have to determine the value and fill in the blank.

What is the vertical asymptotes?

A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.

Therefore option D is correct.

Therefore the function has a vertical asymptote at a certain x-value, then the function is undefined at that value.

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Answer:

D. undefined

Step-by-step explanation:

WILL GIVE BRAINLIEST
The diagonals of a quadrilateral are 12 and 10. Is
this a parallelogram rectangle? Explain your answer

Answers

Answer:

the answer is no.a parallelogram is not a rectangular but the opposite is true. the reason is a cause of parallelogram's diagonals.they might not be equal in parallelogram but in rectangular they must be equal.

Step-by-step explanation:

Answer:

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. So yes it is a parallelogram.

Step-by-step explanation:

Diagonals of parallelogram are not necessarily equal. This is a known property of a parallelogram. If all angles are equal, then it means its opposite angles are also equal which is a condition for a quadrilateral to be called parallelogram. If all sides are equal then, opposite sides are also equal.

Leland hit the target 45 times in 50
shots using a bow and arrow. Based
on his first 50 shots, what would be a
reasonable prediction of the number
of times Leland would hit the target
in 200 shots?

Answers

Answer:

180

Step-by-step explanation:

200/50=4

45x4=180

 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III

Answers

Given:

[tex]\sin x=-\dfrac{15}{17}[/tex]

x lies in the III quadrant.

To find:

The values of [tex]\sin 2x, \cos 2x, \tan 2x [/tex].

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

[tex]\sin^2 x+\cos^2 x=1[/tex]

[tex](-\dfrac{15}{17})^2+\cos^2 x=1[/tex]

[tex]\cos^2 x=1-\dfrac{225}{289}[/tex]

[tex]\cos x=\pm\sqrt{\dfrac{289-225}{289}}[/tex]

x lies in the III quadrant. So,

[tex]\cos x=-\sqrt{\dfrac{64}{289}}[/tex]

[tex]\cos x=-\dfrac{8}{17}[/tex]

Now,

[tex]\sin 2x=2\sin x\cos x[/tex]

[tex]\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})[/tex]

[tex]\sin 2x=-\dfrac{240}{289}[/tex]

And,

[tex]\cos 2x=1-2\sin^2x[/tex]

[tex]\cos 2x=1-2(-\dfrac{15}{17})^2[/tex]

[tex]\cos 2x=1-2(\dfrac{225}{289})[/tex]

[tex]\cos 2x=\dfrac{289-450}{289}[/tex]

[tex]\cos 2x=-\dfrac{161}{289}[/tex]

We know that,

[tex]\tan 2x=\dfrac{\sin 2x}{\cos 2x}[/tex]

[tex]\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}[/tex]

[tex]\tan 2x=\dfrac{240}{161}[/tex]

Therefore, the required values are [tex]\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}[/tex].

3+p=8 what the answer??

Answers

Answer: 5

Step-by-step explanation:

Find the distance from Point A to Point B The distance is __ units (round to the nearest tenth if needed)​

Answers

Answer:

8.6 units

rounded would be just 9 ig?

Suppose you had to decide between an apartment that cost $800/month for a month-to-month contract, or $650 for an annual contract. The annual contract includes a 2- month early termination penalty if you leave before 12 months

Answers

Answer:

Step-by-step explanation:

Incomplete question, but if my guess is correct, you're trying to determine which is a better deal between the two. I will go with the second one. The $650/month rent.

I choose so because, $800/month totals to $9600 at the end of the year. While $650/month totals to $7800 per year. Again, with the $650/month, if you try to leave before the end of the year, say 11 months even, you pay a penalty of $1300, which still leaves you on the profit side. And the whole idea of choosing is to find which is more beneficial and cost effective.

Find the probability of getting 3 heads and 1 tail when flipping a coin 4
times. (write your answer as a reduced fraction)

pls

Answers

Answer:

The probability is 4/16 = 1/4

Step-by-step explanation:

To get 3 heads, means that one gets only one tail. This tail can be either the 1st coin, the 2nd coin, the 3rd, or the 4th coin. There are only 4 outcomes which have three heads....hope this helped

What is the 109th term of the arithmetic sequence {963, 936, 909, 882, …}?

a.3,879
b.2,674
c.-1,980
d.-1953

Answers

Answer:

D. a109=-1,953

find the value of sec ø if cos ø=2/19;0°<ø<90°

Answers

Answer:

[tex] \sec( \alpha ) = \frac{1}{ \cos( \alpha ) } \\ \sec( \alpha ) = \frac{19}{2} [/tex]

All statements of equality below are correct.
A.True
B.False

Answers

A. True

All I did was use a calculator.

Whoever helps me will have a good day and maybe get kissed by your crush

Answers

Answer:

16

Step-by-step explanation:

i totally forgot how to write the equation so i did it the long way and i got with 16 shovels of dirt you get 100 pounds

16 sry i’m i’m wrong btw

Help me with this please

Answers

Answer- “Strong, positive, linear”

Find the value of x.

Answers

Answer:

x = 30°

Step-by-step explanation:

< A = 90° {Being vertically opposite angles }

Now

x + 90° + 2x = 180° (Being linear pair)

3x = 180° - 90°

3x = 90°

x = 90° / 3

x = 30°

Hope it will help :)❤

DONT CLICK LINKS THEY ARE TRY TO GET INFO FROM YOU THRY ARE LYING

Answers

Answer:

they try to hack you and steal information that others should not know!! always report them.

Step-by-step explanation:

16. Solve for x. x = __________

Answers

Answer:

20

Step-by-step explanation:

what is the slope of the line that contains the points (13,2) and (3,-2)

Answers

Answer:

Step-by-step explanation:

please like my answer and brainliest me... hshshshshs

Can someone please help me?

Answers

Answer:

Isosceles!

Hope this helped!

1. In which number does the 6 have a value that is one-tenth the value of the 6 in 34,7612
A. 16,305
B. 28,695
C. 51,364
D. 78,426

Answers

I think it's C, I could be wrong though

Which is a solution of 2x(8x + 5) (7x – 13) = 0?

Answers

Answer:

Step-by-step explanation:

This has 3 solutions

2x = 0                          Divide by 2

x = 0

8x + 5 = 0                   Subtract 5 from both sides

8x = - 5                       Divide by 8

x = - 5/8

x = -0.625

7x - 13 = 0                   Add 13 to both sides

7x = 13                         Divide by 7

x = 13/7

x = 1.86

Which table represents a quadratic function?

Answers

Answer:

the first table

Step-by-step explanation:

step by step explanation:in a quadratic function, the second different are the same

An ellipse has foci located at (2,4) and (2,16) and vertices located at (2,0) and (2,20) this ellipse is vertical

Answers

Answer:

The equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

Step-by-step explanation:

The statement is incomplete, the most probable outcome may be the equation of the ellipse based on information given.

The equation of an ellipse whose major axis is vertical and is centered at a point different from origin is defined by:

[tex]\frac{(x-h)^{2}}{b^{2}} + \frac{(y-h)^{2}}{a^{2}} = 1[/tex] (1)

Where:

[tex](h,k)[/tex] - Coordinates of the center of the ellipse.

[tex](x,y)[/tex] - Coordinates of a point in the line of the ellipse.

[tex]a[/tex] - Length of the major semiaxis.

[tex]b[/tex] - Length of the minor semiaxis.

The coordinates of the center of the ellipse is midpoint of the segment between vertices, which are collinear with foci:

[tex](h,k) = \frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2}(x,y)[/tex] (1)

Where [tex]V_{1} (x,y)[/tex] and [tex]V_{2} (x,y)[/tex] are the coordinates of the vertices.

If we know that [tex]V_{1} (x,y) = (2,0)[/tex] and [tex]V_{2} (x,y) = (2, 20)[/tex], then the coordinates of the center ellipse are:

[tex](h,k) = (2, 10)[/tex]

The length of the semimajor axis can be determined by using the following vectorial expression, which is equivalent to the Pythagorean Theorem:

[tex]a = \sqrt{[(h,k)-V_{1}(x,y)]\,\bullet\,[(h,k)-V_{1}(x,y)]}[/tex] (2)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]V_{1} (x,y) = (2,0)[/tex], then the length of the semimajor axis is:

[tex]a = \sqrt{(2-2)^{2}+(10-0)^{2}}[/tex]

[tex]a = 10[/tex]

And the length of the minor semiaxis is found by means of this Pythagorean identity:

[tex]b = \sqrt{a^{2}-c^{2}}[/tex] (3)

Where [tex]c[/tex] is the length between the center and any of the foci. This distance can be found by using this vectorial formula:

[tex]c = \sqrt{[(h,k)-F_{1}(x,y)]\,\bullet\,[(h,k)-F_{1}(x,y)]}[/tex] (4)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]F_{1} (x,y) = (2,4)[/tex], then the length between the center and any of the foci is:

[tex]c = \sqrt{(2-2)^{2}+(10-4)^{2}}[/tex]

[tex]c = 6[/tex]

And the length of the minor semiaxis is:

[tex]b = \sqrt{10^{2}-6^{2}}[/tex]

[tex]b = 8[/tex]

FInally, the equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Part A: If the product of x and 3 is y, write an equation to represent the relationship between the two variables.

Part B: Explain your work in Part A.

Part C: Create a table of values to display five solutions to the equation. Write the solutions as ordered pairs.

Answers

Answer:

Part A: y = 3x

Part B: The relationship of y to x is y is 3 times as much as x.

Part C: (0,0), (1,3), (2,6), (3,9), (4,12)

Step-by-step explanation:

Part A: The product of x and 3 (3 times x) is (equals) y. So we can write this linear equation as y = 3x.

Part B: The linear equation is a representation of the relationship between y and x. Y is equivalent to three times x.

Part C: To create solutions to the linear equation, simply plug in a value of x to output a y.

x = 0 -> y = 3(0) = 0; (0,0)

x = 1 -> y = 3(1) = 3; (1,3)

x = 2 -> y = 3(2) = 6; (2,6)

x = 3 -> y = 3(3) = 9; (3,9)

x = 4 -> y = 3(4) = 12; (4, 12)

Cheers.

Can someone help me, please? Also, can someone explain it?

Answers

Answer:60m^2

Step-by-step explanation:you have to find the height of the triangle first which is easy bc it’s been split in half so the are now two right triangles. use the pythagorean theorem to determine the height, the height is 12, the formula for the area of a triangle is 1/2bxa and half of the base is already given to you, 5 so 5 x 12 equals 60

Describe the error in the work shown.

Answers

In the third step, to get rid of the cubed root you have to have a cubed exponent as it shows with (y^3)^4. However, it takes the 4 out instead of the 3. You're supposed to take the 3 out, and the answer is supposed to be xy^4/4

please help me i don’t know te anser

Answers

A=b h................

Answer:

A = 20

Step-by-step explanation:

A = bh

b = 4

h = 5

4 × 5 = 20

I need help proving the y-intercept is 5 but I can't figure it out and will give brainliest if you can show the steps how you got the answer!!!!!!!the coordines are (9,5)
And can you help with what I did wrong here

Answers

So, honestly if its allowed you can just graph the equation ti prove the y intercept is five

2. The table below shows the amount that a catering company charges based on the
number of people at an event. Which of the following equations shows the
relationship between c, the amount the company charges based on p, the number of
people at the event?
People (p)
F. c = 16p
25
G. C = 75p + 13
50
Total Charge (c)
$400
$725
$1,050
$1,375
75
H. p = 13c + 75
100
J. c = 13p + 75

Answers

Answer:

The answer is j

Step-by-step explanation:

The equations shows the relationship between c and p is p= 13c + 75.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have table which shows amount that a catering company charges based on the number of people at an event.

So, the equation that can framed from the table as

(y- 400)= (725- 400) / (50-25)  . (x-25)

y- 400 = (325/ 25) (x-25)

y-400 = 13(x-25)

y-400 = 13x - 325

y = 13x - 325 + 400

y= 13x + 75

or p = 13c+ 75

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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

B

Step-by-step explanation:

Answer:

Thats a tuff 1 A estimate of B

Step-by-step explanation:

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