Solve the problem.
An initial investment of $930 is appreciated for 19 years in an account that earns
6% interest, compounded continuously. Find the amount of money in the
account at the end of the period.
$1275.35
$22,067.28
$12,424,545.93
$2907.89

Answers

Answer 1

Answer:

$2907.89

General Formulas and Concepts:

Symbols

e (Euler's number) ≈ 2.71828

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra i

Compounded Continuously Formula: [tex]\displaystyle A = Pe^{rt}[/tex]

P is principle amountr is ratet is time

Step-by-step explanation:

Step 1: Define

Identify variables

P = 930

t = 19

r = 6% = 0.06

Step 2: Find Interest

Substitute in variables [Compounded Continuously Formula]:                    [tex]\displaystyle A = 930e^{19 \cdot 0.06}[/tex][Exponents] Multiply:                                                                                        [tex]\displaystyle A = 930e^{1.14}[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle A = 930(3.12677)[/tex]Multiply:                                                                                                              [tex]\displaystyle A = 2907.89[/tex]

Related Questions

Can someone answer this plz

Answers

Answer:

[tex]A^{I}[/tex]= (7, -1)

Step-by-step explanation:

Rotation is a method of rigid transformation in which a point is moved about a reference point through a stated angle. The rotation could be clockwise or counterclockwise so as to produce the image of the initial object.

In the polar coordinate given, the coordinate of A is given as;

A = (3, 3)

On rotating point A about point C counterclockwise for [tex]270^{o}[/tex], an image [tex]A^{I}[/tex] would be produced.  

But [tex]A^{I}[/tex] would have a coordinate;

[tex]A^{I}[/tex]= (7, -1)

The image of A produced is [tex]A^{I}[/tex] (7, -1).

Please help i dont remember how to do this

Answers

just add 5 5 and 10 10 to get yo answers
i will work

Find the surface area.
_____ square inches​

Answers

Answer:

the surface area of cylinder is 1733.28 inches²

hope it helps

have a nice day

Answer the questions for BRAINLIEST (EASY)

A.
B.
C.

Answers

Answer:

A=x-3

B=X-14

C=X-10

A to finalize you question and help

Question 24 of 25 The graph of F(x) shown below resembles the graph of G(X) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)? G(X) = x2 Fx) = ?​

Answers

Answer:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!;;;;!!!!!!!!!!!

The required equation of graph f(x) is y = -x²-3.

What is parabola?

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.

here, we have,

Given that,

The graph of f(x), resembles the graph of G(x) =x^2 .

We have to find,

Which of the following could be the equation of  f(x).

According to the question,

Function, G(X) = x^2 ,

The graph in the given question figure. It is a parabola with vertex at (0,0).

By the graph predict that Sign of  x^2 is positive, that is why the parabola opens up.

General equation of parabola is given by,

y = a(x-h)^2 + k

Where, a = 1, and vertex (h, k) is (0,0).

The graph of F(x) unknown function opens down ,

Sign of x^2 as negative. and the vertex is at (0,-3)

To find the equation of function f(x),

Putting the values of a and vertex coordinates,

y = a(x-h)^2 + k

The equation of parabola become:

y = -x²-3.

(solving we get)

Hence, The required equation of f(x) is y = -x²-3.

For more information about Parabola click the link given below.

brainly.com/question/4074088

#SPJ7

Find the largest negative integer of p for the equation 4x^2 + 8 = px to have real roots?

Answers

Step-by-step explanation:

my answer is in the image above

p has to be greater than or equal to 8 root 2

What is the range of the given function?

{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

A {x | x = –5, –4, –2, 0, 2}
B {y | y = –9, –3, 0, 5, 7}
C {x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
D {y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}

Answers

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

What is the range of the given function?(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)

[tex]\huge\underline{\sf{\red{Choices:}}}[/tex]

A {x | x = –5, –4, –2, 0, 2}

B {y | y = –9, –3, 0, 5, 7}

C {x | x = –9,–5,–4,–3,–2,0,2,5,7}

D {y | y = –9,–5,–4,–3,–2,0,2,5,7}

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex] \quad \quad \underline{ \boxed{\sf{ \red{ B.)\: {y | y = –9, –3, 0, 5, 7} }} }}[/tex]

What is range of a function?The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

The definition means:

The range is the resulting y-values we get after substituting all the possible x-values.

How to find the range?

The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)Substitute different x-values into the expression for y to see what is happening. (Ask yourself: Is y always positive? Always negative? Or maybe not equal to certain values?)Make sure you look for minimum and maximum values of y.

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

Can someone please answer these 2 questions​

Answers

Answer:

part 1: $532.95. Part 2: 16

Step-by-step explanation:

Part 1: 15 * 15.35 = 230.25

30 * 10.09 = 302.70

230.25 + 302.70 = $532.95

Part 2: R = letters in the word desk

there are 4 letters in the word Desk

[tex]2^{R}[/tex] = [tex]2^{4}[/tex] = 2 * 2 * 2 * 2 = 4 * 4 = 16 subsets

Please solve with explanation.

Answers

Answer:

Area = 160 cm²

Perimeter = 55.31 cm

Step-by-step explanation:

Applying,

Area of the figure = area of the rectangle- area of the triangle

A = lw+bh/2............... Equation 1

From the question,

Given: l = 16 cm, w = 12 cm, h = 8cm, b = 8 cm

Substitute these values into equation 1

A = (16×12)-(8×8/2)

A = 192-32

A = 160 cm²

Perimeter P = /BC/+/CD/+/DE/+/EF/+/FG/+/GA/

Applying pythagoras theorem to get /FG/

FG² = GE²+EF²

FG² = 8²+8²

FG² = 64+64

FG² = 128

FG = √128

FG = 11.31 cm

Therefore,

P = 16+12+4+8+11.31+4

P = 55.31 cm

A number x cubed is six

Answers

Answer:

x = 1.817

Step-by-step explanation:

[tex]x^3 = 6\\\sqrt[3]{x} = \sqrt[3]{6} \\x = 1.817[/tex]

This is the last question from my hw

Answers

Answer:

m = 9, n = 2

Step-by-step explanation:

Find [tex]f^{-1}[/tex] (x) by letting y = f(x) and rearranging making x the subject, that is

y = mx + n ( subtract n from both sides )

y - n = mx ( divide both sides by m )

[tex]\frac{y-n}{m}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-n}{m}[/tex]

Given [tex]f^{-1}[/tex] (x) = g(x) , then

[tex]\frac{x-n}{m}[/tex] = [tex]\frac{x-2}{9}[/tex]

By comparison of the 2 sides

m = 9 and n = 2

NUMBER BASES TEST

1. Write the following numbers in expanded form:
(a) 11012
(b) 4315
(c) 21010

2. For the following numbers, state: (i) the place value,
(ii) the value of the digit indicated in brackets.
(a) 41325 (1)
(b) 11012 (0)
(c) 763210 (6)

3. Convert each of the following base 10 numbers to the base indicated in brackets:
(a) Change 8410 to base 5.
(b) Change 6710 to base 5.
(c) Change 2310 to base 2.
(d) Change 4410 to base 2.

Answers

Answer:Number 1

a. eleven thousand and twelve

b. four thousand three hundred and fifteen

c. twenty one thousnad and ten

Answer:Number 2

a.I one thousand

II one tousand

b.I hundreds

II cero

c.I ten thousands

II sixty thousand

TRUE or FALSE?

1.) If x = -3, then the value of 4x + 5 is 17.

Answers

I think it's false

I hope it's helpfull for you

Answer:

true

Step-by-step explanation:

[tex]dahil \: alam \: ko \: \: masagutan \: ko \: mayn[/tex]

consider the following sequence at 87;84;81 which term will be the first negative term in the sequence​

Answers

Answer:

"31st in the sequence"

87/3 = 29 ..   29 subtractions needed to get to zero

the 30th position in the sequence will be zero

the 31st is the first negative term

1 87

2 84

3 81

4 78

5 75

6 72

7 69

8 66

9 63

10 60

11 57

12 54

13 51

14 48

15 45

16 42

17 39

18 36

19 33

20 30

21 27

22 24

23 21

24 18

25 15

26 12

27 9

28 6

29 3

30 0

31 -3

Step-by-step explanation:

Write the equation of the line that passes through points A(6,1) and B(9,4)? simple answers

Answers

Given:

Two points are A(6,1) and B(9,4).

To find:

The equation of the line that passes through the given points.

Solution:

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It is given that the line passes through the two points A(6,1) and B(9,4). So, the equation of the line is:

[tex]y-1=\dfrac{4-1}{9-6}(x-6)[/tex]

[tex]y-1=\dfrac{3}{3}(x-6)[/tex]

[tex]y-1=1(x-6)[/tex]

[tex]y-1=x-6[/tex]

Adding 1 on both sides, we get

[tex]y-1+1=x-6+1[/tex]

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

Therefore, the equation of the line is [tex]y=x-5[/tex].

Of the marbles in a​ bag, 4 are yellow ​, 4 are white ​, and 5 are green . Sandra will randomly choose one marble from the bag. Fill in the blanks in parts a and b. The probability that Sandra will choose a marble from the bag is

Answers

Answer:

Probability[Random choose marble is green] = 5 / 13

Step-by-step explanation:

Given:

Number of yellow marble in bag = 4

Number of white marble in bag = 4

Number of green marble in bag = 5

Find:

Probability[Random choose marble is green]

Computation:

Probability of an event = Number of favourable outcome / Number of total outcome

Probability[Random choose marble is green] = 5 / [4 + 4 + 5]

Probability[Random choose marble is green] = 5 / 13

In the diagram below, ΔABC≅ΔSTR. Complete the statement ∠A≅

A. ∠C
B. ∠S
C. ∠T
D. ∠R

Answers

Answer:

b

Step-by-step explanation:

Answer: B <S

Step-by-step explanation:

Write and solve a real-world problem that involves finding the volume of a rectangular or triangular prism

Answers

Answer:

l

Step-by-step explanation:

a trader sold an article at 10% profit if he had sold it at 10% loss,it would yield RS 140 less than the previous selling price.find the cost price of the article.​

Answers

Answer:

CP = ₹ 700

Step-by-step explanation:

Let the cost price be 'x'

SP = [tex](\frac{100+Profit}{100})*CP[/tex]

   [tex]= \frac{100+10}{100}*x\\\\=\frac{110}{100}*x\\\\= \frac{11}{10}x[/tex]

If it had been sold are 10% loss, then

SP = [tex](\frac{100-loss}{100})*CP[/tex]

     [tex]=\frac{100-10}{100}*x\\\\=\frac{90}{100}*x\\\\=\frac{9}{10}x[/tex]

Difference in both the selling price =  140

[tex]\frac{11}{10}x-\frac{9}{10}x=140\\\\\\\frac{2}{10}x=140\\\\\frac{1}{5}x=140\\\\ x = 140*5\\x = 700[/tex]

Ryan is cleaning out his room. His sister gives him 4 boxes of books to put with the 3 books he already had. When he finishes cleaning he discovers he now has 35 books on his shelves. How many books were in each box? Write an algebraic expression to represent this problem then solve.

Answers

Answer:

8 books were in each box

Step-by-step explanation:

According to the Question,

Assume X is the Number of Books In Each Box.

We have, 4 boxes With the Same Number of Books In each Box,Thus Total Book in all box is 4X.And, 3 books Ryan Already Put In Shelves.Now, Total Number Of Book After Cleaning is 35 Books.

Algebraic Expression,

4X + 3 = 35

4X = 35 - 3

4X = 32  ⇔  X=8 books in Each Box.

In the diagram AB is parallel to CD. Calculate the value of A ?

Answers

The image of the diagram is missing, so i have attached it.

Answer:

a = 30°

Step-by-step explanation:

From the diagram attached, we can see that the 2 angles a and 5a are interior supplementary angles.

The sum of interior supplementary angles is 180°

Thus;

5a + a = 180

6a = 180

a = 180/6

a = 30°

If triangle LMN ~ triangle PON, what is MN?


Answers

Answer:

pretty sure its 40cm

Step-by-step explanation:

hope this helps :)

Answer:

36cm

Step-by-step explanation:

Tan(14/12)=angle of ONP

Tan(42/X)=angle of LNM

singe those angels are the same;

Tan(14/12)=Tan(42/X)

14/12=42/X

14*X=42*12

X=(42*12)/14

X=36

In triangle ABC, AB = 11 cm, BC = 9 cm and CA = 10 cm.
Find the area of triangle ABC.

Answers

Answer:

Area = 42.43 square cm

Step-by-step explanation:

Using Heron's Formula :

 [tex]Area = \sqrt{s\times (s-a) \times (s-b) \times(s -c)} \ , \ where \ s \ =\ \frac{a+ b+ c}{2}[/tex]

Find Area :

[tex]s = \frac{11 + 9 + 10 }{2} = \frac{30}{2} = 15[/tex]

[tex]Area = \sqrt{15 \times ( 15 - 11 ) \times { (15 - 9 ) \times ( 15 -10)}\\\\[/tex]

      [tex]= \sqrt{15 \times 4 \times 6 \times 5}\\\\=\sqrt{1800}[/tex]

      [tex]= 42 . 43 \ cm^2[/tex]

Instructions: Using the image, find the distance between the points given on the graph.

Answers

7 units or squares or whatever unit this is

okay so, hey my name is natalie. i don't have my phone and id love to communicate with any of yall, feel free to take some points and introduce your self. :)

Answers

Hellooo ^^ ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Please help me out this is hard .

Answers

Answer:

24.6

Step-by-step explanation:

take 72 degree as reference angle

using tan rule

tan 72 = opposite / adjacent

3.07 = x/8

3.07 * 8 = x

24.56 = x

24.6 = x

Can someone explain to me how this is wrong at all? I did the math like 10 times and somehow its wrong...? please lmk what the actual answer is because apparently im just incompetent

Also giving Brainliest

Answers

Answer:

total= 98

Step-by-step explanation:

so the way to do this is to find the total surface area of the white bench and then subtract the interfacing portion for the support, and then total surface area of support and also subract the area of the interface with the white as well as the ground

bench top area

area of long side *number of sides + area of end *number of ends

(9*2)*4+(2*2)*2= 72+8=80

interface area is area of long side of red portion

5*2=10

support area is same as bench top for rationale

(5*2)*4+(2*2)=40+8=44

total surface area = area of white + area of red - 2* interface area - bottom of red that interfaces with the ground

total = 80+48-2*10-(5*2)

total = 128-20-10

total= 98

Please help I’ll give brainllist

Answers

Answer:

TRUE

Step-by-step explanation:

TRUE

Answer:

true i think

Step-by-step explanation:

i need help again and can smb help me with the whole study guide pls !

Answers

Answer:

d bro. pay attention at order of triangle's vertices

Hey I need help with this new concept. Could someone help me out? I would prefer an explanation for one of the shapes if possible. Thanks!

Answers

Answer:

Step-by-step explanation:

set the equation for the area equal to the equation of the perimeter.

Then solve for x

-----------------------------

Figure a

area = perimeter

3x = 2(x + 3)

Distribute

3x = 2x + 6

subtract 2x from both sides

x = 6

perimeter

p = 2(x + 6)

p = 2(3 + 63)

p = 18

Area

a = 3x

a = 3*6

a = 18

----------------------------

Use the same method on the remaining figures

Other Questions
PLS ANSWER ILL GIVE BRAINLIESTA t-shirt that usually costs p dollars is available at a discount. Drag and drop two expressions to show the correct price of the shirt in the spaces provided.0.3p 0.7p 0.93p 0.97p 1.3pthe price of the t-shirt after 30% discount:the price of the t-shirt after 70% discount: Which of the following options is true for aerobic and anaerobic respiration?* The answer is between C and D 15. You are watching a baseball game on television that 15being broadcast from 4500 km away. The batter hitsthe ball with a loud "crack" of the bat. A microphoneis located 22 m from the batter, and you are 2.0 m fromthe television set. On a day when sound travels 343 m/sin air, what is the minimum time it takes for you to hearthe crack of the bat after the batter hits the ball? express 0.27272727......... in the form of p/q Change the following algebraic expressions to the statement in words: i. 3mn +7 ii. xy + (x+y) A simple way to describe a Coefficient? Panuto: Punan ang mga kahon ng kahalagahan ng pagkakaroon ng kaalaman sa pagbibigayng pangunang lunas.Kahalagahan ngPagkakaroonng kaalaman saPagbibigay ngPangunang Lunas4 example Please help, how do you write 4.06 in word form and expanded form? 7(x 3) = 5(x+3)Solve for x A 60-year-old man is brought to the ER by ambulance because of slurred speech and left side weakness. His wife states they went to bed at 11pm and woke up at 5am when she noticed his symptoms. He is right handed with a history of coronary artery disease, hypertension, and hypercholesterolemia and a heart attack at age 50. He currently is unable to move his left arm and leg. He had an episode of amaurosis fugux (blindness)in his right eye one month ago that lasted for 5 minutes. Around 3 months ago his wife states he had bilateral pain in his legs while they were on a walk that lasted about 15 minutes. He is taking a baby aspirin a day an ACE inhibitor, and statin as well. He does have a history of alcohol use and smoking in the past but stopped after his heart attack. His blood pressure is 195/118 Pulse 106, Respiratory rate 18, Temperature 99.8, o2 sat is 97% on room air. Although his pupils are equal and reactive, and the ocular movements are intact, he is unable to turn his eyes voluntarily toward the left side. The neck is supple, there is no jugular vein distension, and there are no bruits. The lungs are clear heart sounds regular without murmurs, and abdomen is normal. The limbs are not well perfused distally. The neurologic examination reveals that he is alert and oriented, although he does not recognize he is sick. He shows loss of awareness and attention with respect to objects or stimuli on his left side. He has mild dysarthria but, his speech is fluent, and he understands and follows commands very well. There is mild weakness on the left side of the face and left sided homonymous hemaianopsia, but there is no nystagmus or ptosis, and no tongue or uvula deviation. He is not able to move his left arm and leg, has hyperreflexia, and the left great toe is upgoing.1) What are two questions you would ask this patient?2) Identify the subjective data for this patient.3) Identify the objective data for this patient. 4)What is the likely diagnosis? what does a paralegal do ? Which concept is illustrated in the cartoon? 48:57IAIbeRead Romeo's soliloquy from Act II, scene ii of Romeoand JulietThe purpose of this soliloquy is to help the audienceunderstand Romeo'sBut, soft! what light through yonder window breaks?It is the east, and Juliet is the sun!Arise, fair sun, and kill the envious moon,Who is already sick and pale with grief,That thou her maid art far more fair than she:Be not her maid, since she is envious;Her vestal livery is but sick and green,And none but fools do wear it; cast it off.feelings for Juliet.O feelings for Rosaline.O description of the evening.O description of Juliet's illness.Save and ExitNextSubmitMark this and retum Ball X has a mass of 8kg and is moving toward ball Y (which is sitting still) at 2m/s. After they collide, ball X issitting still. How fast is ball Y moving after the collision if it has a mass of 4kg? which term refers to the plot element that provides back ground information in a story Studies support the claim that volunteering on a regular basis actually benefits ones general physical health. Depending on the needs of an organization, many volunteer opportunities can involve physical movement. Volunteers at a local soup kitchen may, for example, find themselves unloading truckloads of donated supplies. Other research related to volunteering and staying healthy found that volunteers often experienced decreased chronic pain and fewer symptoms of heart disease. Of course, not all volunteer positions involve physical exertion. Tasks involving minimal movement, such as answering phones, filing papers, and/or addressing envelopes, should be combined with some type of physical activity. Using the stairs instead of an elevator or walking to work instead of driving are examples of easy ways to integrate exercise into a daily routine. Which statement most accurately describes the issue(s) in this paragraph? Renegade Publishers Inc. projected sales of 29,000 diaries for 2016. The estimated January 1, 2016, inventory is 1,200 units, and the desired December 31, 2016, inventory is 3,000 units. What is the budgeted production (in units) for 2016 State whether the data described below are discrete or continuous and explain why?The distance between cities in a certain contry.a. The data are discrete because the data can only take on specific values. b. The data are discrete because the data can take on any value in an interval. c. The data are continuous because the data can take on any value in an interval. d. The data are continuous because the data can only take on specific values. also called product or merchandisea.buying b.goodsc.selld.profite.seller Is sodium a metal, nonmetal, or metalloid?