A person places $6860 in an investment account earning an annual rate of 2.9%, compounded continuously. Using the formula
V
=
P
e
r
t
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 11 years.

Answers

Answer 1

9514 1404 393

Answer:

  $9,437.65

Step-by-step explanation:

Fill in the given numbers and do the arithmetic.

  [tex]V=Pe^{rt}\\\\V=\$6860\cdot e^{0.029\cdot 11}=\$6860\cdot 1.375751\\\\\boxed{V=\$9{,}437.65}[/tex]


Related Questions

I need help on this question

Answers

Answer:

Mexico

Step-by-step explanation:

It’s in Spanish

Write the equation in POINT-SLOPE FORM of the line that passes throught (5,9) and has a slope of -7.

Answers

Answer:

The equation of line with slope -7 passing through (5,9) in point-slope form is:

[tex]y-9 = -7(x-5)[/tex]

Step-by-step explanation:

Given

Slope of line = m = -7

Point = (5,9)

The point slope form of equation is obtained from a point and slope. It is given by the equation:

[tex]y-y_1 = m(x-x_1)[/tex]

We know that (x1,y1) = (5,9)

Putting the values we get

[tex]y-9 = -7(x-5)[/tex]

Hence,

The equation of line with slope -7 passing through (5,9) in point-slope form is:

[tex]y-9 = -7(x-5)[/tex]

Your friend finds the measure of the exterior angle shown. Is your friend correct?

Answers

Answer:

will i think that's true

Step-by-step explanation:

I hope this helps you

Answer:

I think that it is yes

Step-by-step explanation:

Hope this helped have an amazing day!

simplify: √(4√3-√15)^2
I WILL AWARD BRAINLIEST TO THE CORRECT ANSWER!

Answers

Answer:

3.05521988407

Step-by-step explanation:

used a calculator lol

I believe the answer is 3.05

If you have 54/4 how does it equal 13.5

Answers

Simplifying
54 * 4 = 13.5

Multiply 54 * 4
216 = 13.5

Solving
216 = 13.5

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Answer:

I don't like mathematics

2.85 tons when rounded to the nearest hundreds

Answers

Answer:

0

Step-by-step explanation:

The answer is 2.85! The hundredths place is the 5 so you would just keep it the same! If you are rounding to the tenth then it would be 2.9 since the hundredths place is greater or equal to 5!

Graph the solution to the following system of inequalities in the coordinate plane.
y>1/4x+6
y>2x-1

Answers

Answer:

The solution is any point in the common part of red and blue

The two lines intersect each other at (4 , 7)

Step-by-step explanation:

∵ y > 1/4 x + 6 ⇒ y = 1/4 x + 6

∵ y > 2x - 1 ⇒ y = 2x - 1

∴ 2x - 1 = 1/4 x + 6

∴ 2x - 1/4 x = 6 + 1

∴ 7/4 x = 7 ⇒ x = 7 ÷ 7/4

∴ x = 4

∴ y = 2(4) - 1 = 7

∴ The two lines intersect each other at (4 , 7)

∴ The solution is any point in the common part of red and blue

ILL GIVE BRAINLEST HELP SOLVE THE GRAPH ​

Answers


Ummmmmmmm.................

What is the solution to the equation 5 +b= 18? 1​

Answers

The answer is 13......

Answer:

b = 13

Step-by-step explanation:

5 + b = 18

-5.        -5.     -5 on both sides to get b by itself

b = 13


Helppppppppppppppppppppppppp please :)

Answers

Answer:

use your scientific calculator and click shift + mode or just mode , after that select the table option and enter the equation that u see and then set the step to 1 (start = -2 , end = 3) and step =1

(x-5^2)-7=93

Solve using square roots

I’m just unsure whether the answer will be x=-5+- 10 or x=5+-10

Answers

Answer:

Step-by-step explanation:

steps are stated below

step 1

(x-5^2)-7=93  equation

step 2

x-5^2-7=93  remove brackets

step 3

x-5^2-7=93  simplify

x+(-25)+(-7)=93

step 4

(x)+(-25+-7)=93  combine the tems

x+(-32)=93

step 5

x+(-32)=93  change the symbols

x-32=93

step 6

x-32(+32)=93(+32)  add +32 to both sides so we can get our answer

x=-0=93+32

x=125

Answer:

x=15, x=-5

Step-by-step explanation:

Solve:

[tex](x-5)^2-7=93[/tex]

Adding 7:

[tex](x-5)^2=93+7[/tex]

[tex](x-5)^2=100[/tex]

Taking square roots:

[tex]x-5=\sqrt{100}[/tex]

Recall a square root has two possible answers:

[tex]x-5=\pm 10[/tex]

Adding 5:

[tex]x=5\pm 10[/tex]

There are two answers:

[tex]x=5+ 10=15[/tex]

[tex]x=5- 10=-5[/tex]

Answers: x=15, x=-5

which is the correct answer?​

Answers

Step-by-step explanation:

Options B and C are wrong because 0 as a numerator is totally fine as a real solution.

In Option A,

15(x² - 1) = 10(3x - 3)

15x² - 45x + 30 = 0

x² - 3x + 2 = 0

(x - 1)(x - 2) = 0

x = 1 or x = 2.

This is correct as x cannot be 1 (dividing by zero).

In Option D,

(x + 2)(x - 1) = 40

x² + x - 42 = 0

(x - 6)(x + 7) = 0

x = 6 or x = -7.

In here x = 1 does not even appear in our working so it is not an extraneous solution (even though it is dividing by zero)

Hence the answer is A.

PLZ HELP ME!!!!!!
if you can buy 35 trumips for $15, then how many can you buy with $3?

Answers

Answer: one with change mane I’m pretty sure? Really sorry if that’s not right

Step-by-step explanation:

Answer:

I’m pretty sure it’s 7. Just divide the 35 by 5 bc 5 times 3 is 15 and so it would be 7

Hope this helps

Which shows a rational number plotted correctly on a number line?
A number line going from negative 8 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative 3.5 is plotted on the mark 1 space to the left of 4.
A number line going from negative 20 to negative 10 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 21 Over 2 EndFraction is plotted on the mark 1 space to the left of negative 10.
A number line going from negative 10 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 7 Over 2 EndFraction is plotted on the mark labeled negative 6.
A number line going from negative 2 to positive 8 in increments of 2. StartFraction 9 Over 2 EndFraction is plotted on the mark 1 space to the left of 4.

Answers

Answer:

A number line going from negative 20 to negative 10 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 21 Over 2 EndFraction is plotted on the mark 1 space to the left of negative 10.

Step-by-step explanation:

A number line going from negative 8 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative 3.5 is plotted on the mark 1 space to the left of 4.

Incorrect. - 3.5>-4 and should be to the right of -4

A number line going from negative 20 to negative 10 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 21 Over 2 EndFraction is plotted on the mark 1 space to the left of negative 10.

Correct. -21/2 = -10.5 < -10 is one space to the left of -10

A number line going from negative 10 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 7 Over 2 EndFraction is plotted on the mark labeled negative 6.

Incorrect. -7/2 =-3.5 > -4 should be to the left of -4.

A number line going from negative 2 to positive 8 in increments of 2. StartFraction 9 Over 2 EndFraction is plotted on the mark 1 space to the left of 4.

Incorrect. 9/2 = 4.5 > 4 should be to the right of 4.

Answer:

B

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

Determine the value of x and y

Answers

where is the question , without question how can we find the Values

I need help please I have to finish this

Answers

Answer: x=4

Step-by-step explanation:

We know that line segment AC= AB + BC

we also know that AB= 3x+8 and BC= 2x-5

by substituting these, we get AC= (3x+8)+(2x-5)

AC is given as being 23, so we know that

23= (3x+8)+(2x-5)

by combining like terms, we get that

5x+3=23

simplify this to get that x=4

A football team has a net yardage of -33 yards on a series of plays. The team needs a net yardage of 10
yards to get a first down. How many yards do they have to get on their next play to get a first down?
331

Answers

Answer:

they need 43 more yards

Step-by-step explanation:

Awww please just determine the function equation, y intercept and slope.

Answers

Answer:

y = 3x + 45  is the function equation of y intercept and slope.

f) -7x + 8x =
simplify​

Answers

Answer:

The answer is: X

Step-by-step explanation:

-7x+8x = 1x

this means the answer is X

The Precision Writing Instruments Company makes two pen designs - the Cordova design and the Savannah design. These data apply, regardless of which of two pen designs is being implemented. Materials cost per pen is $6. Labor cost per pen is $5. Production overhead is
$1,000,000. Advertising and promotion is $1,000,000. Marketing research has estimated the following demand functions for the next year of sales for the two pen designs where Q represents demand in thousands and P represents price. For the Cordova design, Q = 150 - 2.5P. For the Savannah design, Q = 175 - 2.1P. A penetration strategy is proposed for the Savannah design and a price of $25 is selected. What will be the profit or loss for the first year?

Answers

9514 1404 393

Answer:

  loss of $285,000

Step-by-step explanation:

The demand for the Savannah design is estimated to be ...

  Q = 175 -2.1P = 175 -2.1(25) = 122.5 . . . . thousand pens

Then the contribution margin from sales will be ...

  122,500($25 -$6 -$5) = $1,715,000

Against a total of $2,000,000 in production and advertising costs, the net will be a loss of ...

  $2,000,000 -1,715,000 = $285,000

The first-year loss will be $285,000.

What is the determinant of A={-2 2 -5
{4 -1 -2 }
{ 1 3 -5

Answers

Answer:

[tex]A' = -51[/tex]

Step-by-step explanation:

Given

[tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex]

Required

Determine the determinant of A (A')

If

[tex]A = \left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]

Then,

[tex]A' = a(e*i - f * h) - b(d * i - g * f) + c(d * h - e * g)[/tex]

So:

The determinant of [tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex] is

[tex]A' = -2(-1 * -5 -(-2)*3) -2(4 * -5 -(-2) * 1) -5(4 * 3- (-1) * 1)[/tex]

[tex]A' = -2(5 +6) -2(-20 +2) -5(12 + 1)[/tex]

[tex]A' = -2(11) -2(-18) -5(13)[/tex]

[tex]A' = -22 +36 -65[/tex]

[tex]A' = -51[/tex]

Hence, the determinant is -51

Can u help??????????????????????????????????????//

Answers

Answer:

Okay!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The answer is 14

Step-by-step explanation:

Folow order of operations and when doing multipactiona or subtraction or division and addition, make sure to go from left to right

Answer:

14

Step-by-step explanation:

Start with the multiplication. It should now look like this: [tex]20 - 15 + 81[/tex] ÷ [tex]9[/tex]  Do the division: 81 ÷ 9 = 9Plug 9 in: [tex]20 - 15 + 9[/tex]  Solve left to right in steps 5 and 6 below20 - 15 = 55 + 9 = 14So, the answer is 14

I hope this helps!


HELP ME PLZ

A figure is shown in the image. What is the measure, in
degrees of
А. 95.4
B. 52.1
C. 74.2
D. 64.7

Answers

Answer:

Step-by-step explanation:

angles x, 2x, and 23.7 add up to 180 degrees

x + 2x + 23.7 = 180

3x + 23.7 = 180

subtract 23.7 on both sides

3x + 23.7 - 23.7 = 180 - 23.7

3x = 156.3

divide both sides by 3

x = 52.1

Angle C is a straight line = 180 degrees

Angle B is found by adding 32.5 and x, and subtracting it from 180 degrees (since three angles in a triangle must add up to 180)

we found x = 52.1 degrees

so angle B = 180 - 32.5 - 52.1 = 95.4 degrees

please give heart and brainliest :)

PART 2
HELPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

54 hours

Step-by-step explanation:

So, first of all subtract the money she has from the total amount.

540-60=480 She still needs $480. So divide this number by the amount she gets in an hour. (9)

480/9 =53.33333 since she can't work half hours, i rounded up.

Choose the inequality that represents the following graph.

Answers

x > 0

Hope this helps!

Answer:

0>0

Step-by-step explanation:

NEED THIS ASAP PLEASE

Answers

Answer:

50

Step-by-step explanation:

95
28pºo
Which expression is equivalent to
? Assume p*0.90
12067
2
015912
7015
3712
o
2012
075
7015912
3

Answers

Answer:

7p¹⁵/ 3q¹²

Step-by-step explanation:

From the question given above,

28p⁹q¯⁵ / 12p¯⁶q⁷

To know which of option is equivalent to the above expression, we shall simplify the expression as shown below:

28p⁹q¯⁵ / 12p¯⁶q⁷

28p⁹q¯⁵ ÷ 12p¯⁶q⁷

Recall:

Xᵐ ÷ Xⁿ = Xᵐ ¯ ⁿ

Therefore,

28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (28/12)p⁹ ¯ ¯⁶q¯⁵ ¯⁷

28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (7/3) p⁹⁺⁶q¯¹²

28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (7/3) p¹⁵q¯¹²

Recall:

X¯ⁿ = 1/Xⁿ

Therefore,

(7/3) p¹⁵q¯¹² = (7/3) p¹⁵ × 1/q¹²

(7/3) p¹⁵q¯¹² = 7p¹⁵/ 3q¹²

Hence,

28p⁹q¯⁵ / 12p¯⁶q⁷ = 7p¹⁵/ 3q¹²

Answer:

B

Step-by-step explanation:

which ordered pair lies on the graph of the function y= -2x +1

Answers

Note: You did not mention the ordered pair choices. So, I am letting you clear your concept about taking some sample ordered pairs which anyways would clear your concept.

Answer:

The ordered pairs (1/2, 0) and (0, 1) are on the graph.

The graph is also attached.

Step-by-step explanation:

Given the function

[tex]y= -2x +1[/tex]

Any ordered pair which may satisfy the equation would lie on the graph.

Let us determine the x and y-intercepts.

Determining the x-intercept

We know that the x-intercept can be determined by setting y=0, and the solving for x. so

[tex]y= -2x +1[/tex]

0 = -2x+1

-2x = -1

Divide both sides by -2

x = 1/2

Thus, the x-intercept is (1/2, 0)

Determining the y-intercept

We know that the y-intercept can be determined by setting x=0, and the solving for y. so

[tex]y= -2x +1[/tex]

y = -2(0)+1

y = 1

Thus, the x-intercept is (0, 1)

Thus, the ordered pairs (1/2, 0) and (0, 1) are on the graph.

The graph is also attached.

The ordered pairs (1/2, 0) and (0, 1) are on the graph.

Let us plug x = 0.

So,

[tex]y=-2x+1\\y=-2(0)+1\\y=1[/tex]

So the point is (0, 1).

Let us plug x = 1/2.

So,

[tex]y=-2x+1\\y=-2\left(\frac{1}{2}\right)+1\\y=-1+1\\y=0[/tex]

So the point is (1/2, 0).

Learn more about ordered pairs: https://brainly.com/question/1528681

Central Subs made 27 sandwiches using 12 pounds of turkey. How much turkey was used per sandwich?

Answers

Simple, do 12 divided by 27, so
.44444444444 is your answer

So “roughly .44 or almost half a pound”

Suppose that a population parameter is 0.3 and many samples are taken from the population. If the size of each sample is 40, what is the standard error of the distribution of sample proportions?

A. 0.095
B. 0.055
C. 0.072
D. 0.032

Answers

Answer:

0.072

Step-by-step explanation:

A P E X

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