1. Brad invested $2,300 in a corporate bond
that pays 14% interest compounded
continuously. How long will it take
Brad's investment to triple?

Answers

Answer 1

Given:

Principal value = $2300

Rate of interest = 14% compounded continuously.

To find:

The time taken by Brad's investment to triple.

Solution:

The formula for amount after the compound interest (Continuously) is:

[tex]A=Pe^{rt}[/tex]

Where, P is the principal, r is the rate of interest in decimal and t is the time period.

Triple of Brad's investment is

[tex]3\times \$ 2300=\$ 6900[/tex]

Substituting [tex]A=6900,P=2300\ r=0.14[/tex], we get

[tex]6900=2300e^{0.14t}[/tex]

[tex]\dfrac{6900}{2300}=e^{0.14t}[/tex]

[tex]3=e^{0.14t}[/tex]

Taking natural log on both sides, we get

[tex]\ln 3=\ln e^{0.14t}[/tex]

[tex]1.0986=0.14t[/tex]                [tex][\because \ln e^x=x][/tex]

[tex]\dfrac{1.0986}{0.14}=t[/tex]

[tex]7.84714=t[/tex]

After approximating the value, we get

[tex]t\approx 7.85[/tex]

Therefore, Brad's investment will take 7.85 years to triple.


Related Questions

What is the value of b2 - 4ac for the following equation? 2x2 - 2x - 1 = 0 -4 12 0

Answers

Answer:

I think you mean the equation is

[tex]2 {x}^{2} - 2x - 1 = 0[/tex]

And you must find

[tex]delta = {b}^{2} - 4ac = 4 + 8 = 12[/tex]

The length of the base of an isosceles triangle is x. The length of a leg is 3x-4. The perimeter of the triangle is 97. Find x.

Answers

Answer I do not know i am not there yet i am sorry

Step-by-step explanation:

:(

Solve the following system of equations using all three methods. Must show your work. 4x + y = 2 3x - 3y = 9

Part A: Solve by graphing.

Part B: Solve by substitution.

Part C: Solve by elimination.

Describe the process and steps you used to solve each method.

Answers

Answer:

Step-by-step explanation:

you do part a

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

b

Divide equation 2 by 3

x-y=3

add y to both sides

x=3+y

Sbustitute this into equation 1

4(3+y)=2

12+4y+y=2

5y= -10

y= -2

Plug this into equation 1

4x-2=2

x=1

Part c.

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

divide equation 2 by 3

x-y=3

add the two equations

(x-y)+(4x+y)=2+3

5x=5

x=1

Plug this into equation 1

4(1)+y=2

4+y=2

y= -2

For part a just create a table and graph it

X 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product after it has been fully simplified? x3 + 5x2 + 5x – 2 x3 + 2x2 + 8x – 2 x3 + 11x2 – 2 x3 + 10x2 – 2

Answers

Answer:

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]

Step-by-step explanation:

Given

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2)[/tex]

Required

The equivalent expression

We have:

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2)[/tex]

Open bracket

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 - 2x^3 + 3x^4 + 18x^3 - 6x^2 -x^3 + 6x^2 - 2x + 2x^2 + 12x -4[/tex]

Collect like terms

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 + 3x^4- 2x^3 -x^3 + 18x^3 - 6x^2 + 6x^2 + 2x^2- 2x + 12x -4[/tex]

Evaluate like terms

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]

Solve the givin proportions

Answers

Answer:

x=(6×6)/9=4

just cross multiply and get your answer

Answer:

x=4

Step-by-step explanation:

Step 1

Represent the ratios as fractions

6/9=x/6

Step 2

Cross-multiply the numerators and denominators

9x=6×6

9x=36

9x/9=36/9

Therefore x=4

The probability that a student takes calculus or is on scholarship is 0.85. The probability that a student is on scholarship is 0.61 and the probability that a student is taking calculus is 0.31. If a student is randomly chosen, find the probability that the student is taking calculus and is on scholarship.

Answers

Answer:

0.07

Step-by-step explanation:

According to the Question,

Let C denote the event that a student takes calculus & S denote the event that a student is on scholarship.

Given, The probability that a student takes calculus or is on scholarship is 0.85 [P(C ∪ S)=0.85] . The probability that a student is on scholarship is 0.61 [P(S)=0.61] . and the probability that a student is taking calculus is 0.31 [P(C)=0.31] .

We have,

⇒P(C ∪ S)=0.85 , P(C)=0.31 , P(S)=0.61

We Know, P(C∩S) = P(C) + P(S) − P(C∪S)

Then, Put the Above Values in the Equation, we get

So, P(C∩S) = 0.31 + 0.61 - 0.85 ⇒ 0.07

Thus, The probability that the student is taking calculus and is on scholarship is 0.07

Aaron has a combination of nickels, dimes, and quarters in his pocket. Aaron's collection of coins is represented in the matrix below.
1
1
1
14
2 0 -1 0
.05 10 252.15
Which of the following is NOT a correct verbal interpretation of one of the equations in the system?
O Aaron has twice as many quarters as nickels.
O Aaron has no nickels.
O Aaron has a total of 14 coins.
The total value of the coins is $2.15.
6
7
8
8
9
10

Answers

Answer:

Aaron has no nickels

Step-by-step explanation:

eg

The television show September Road has been successful for many years. That show recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to September Road. Assume that an advertiser wants to verify that 20% share value by conducting its own survey, and a pilot survey begins with 11 households have TV sets in use at the time of a September Road broadcast. Find the probability that none of the households are tuned to September Road. P(none)

Answers

Answer:

[tex]P(none) = 0.0859[/tex]

Step-by-step explanation:

Given

[tex]p =20\%[/tex] --- proportion of household that tuned to September

[tex]n =11[/tex] --- selected households

Required

[tex]P(none)[/tex]

Using the complement rule, the proportion that did not tune (q) is:

[tex]q= 1 - p[/tex]

[tex]q= 1 - 20\%[/tex]

[tex]q= 1 - 0.20[/tex]

[tex]q= 0.80[/tex]

So, the probability that none of the 11 tuned in is:

[tex]P(none) = q^{11}[/tex]

[tex]P(none) = 0.80^{11}[/tex]

[tex]P(none) = 0.0859[/tex]

What is the mean? If the answer is a decimal, round it to the nearest tenth.
-4 1 4 -1
4 -1 -2 -6 3-5
-8

Answers

Answer: if its decimal and it wants you to round to next place to the tenths place

Step-by-step explanation: if it means to look at the hundredth's place to find your answer  if its bigger than five your second number will add up if its lower than five it stays the same

What is the same as 3(4 + 5 + 6)?

Answers

Answer:

45

Step-by-step explanation:

3(4 + 5 + 6)

= 3(15)

= 3 × 15

= 45 (Ans)

The total cost of Anfä's trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup:
cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and
value of x, the cost of each cavity filling?

Answers

Answer:

The cost of each cavity filling was $ 134.60.

Step-by-step explanation:

Given that the total cost of Anfa's trip to the dentist was $ 628.35, and she paid a flat fee of $ 89.95 which included the checkup: cleaning and then had 4 cavities filled, each of which cost the same amount, to determine which shows the correct equation and value of x, the cost of each cavity filling, the following calculation must be performed:

(628.35 - 89.95) / 4 = X

538.4 / 4 = X

134.6 = X

Therefore, the cost of each cavity filling was $ 134.60.

if £2000 is placed into a bank account that pays 3% interest compound into how much will be in the account after 2 years?

Answers

Answer: The answer is £2121.8.

You can check this formula....

What quadratic equation could be solved to find any solutions to the system of equations?
y = -51 +6
y = 12 + 71 - 11
Replace the values of a, b, and in the equation to formulate the correct equation.

Answers

Answer:

Step-by-step explanation:

x²+7x-11=-5x+6

x²+7x+5x-11-6=0

x²+12x-17=0

[tex]x=\frac{-12\pm \sqrt{12^2-4*1*(-17)} }{2*1} \\=\frac{-12 \pm \sqrt{144+68} }{2} \\=\frac{-12 \pm \sqrt{212}}{2} \\=\frac{-12+2\sqrt{53}}{2}\\=-6 \pm \sqrt{53}[/tex]

Whats the last info I need?

Answers

Answer:

Step-by-step explanation:

Properties of the similarity of two triangles,

1). Corresponding angles of two triangles should be equal.

2). Corresponding sides of two triangles should be proportional.

By applying second property in the given triangles RTY and CVB,

[tex]\frac{CV}{RT}=\frac{TY}{VB}=\frac{CB}{RY}[/tex]

[tex]\frac{15}{10}= \frac{9}{6}= \frac{CB}{RY}[/tex]

[tex]1.5= 1.5= \frac{CB}{RY}[/tex]

Ratio of sides CB and RY should be 1.5 for the similarity of two triangles.

Therefore, additional information required for the similarity of two triangles is "the measure of third sides of both the triangles should be known"

Is the following shape a square? How do you know? A. Yes, the opposite sides are parallel, and all sides are the same length. B. No, because opposite sides are not parallel. C. There is not enough information to determine. D. No, because the sides are not congruent.​

Answers

Answer:

A

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

No, because the sides are not congruent.

Evaluate e^4 to one decimal place

Answers

Answer:

The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6

If JK = 4, KL = 3x, and JL = 7x, what is JL? Simplify your answer and write it as a proper fraction, mixed number, or integer.​

Answers

Answer:

JL = 7

Step-by-step explanation:

If JK = 4, KL = 3x, and JL = 7x, what is JL? ​

From the diagram given in tbe question,

JK + KL = JL

4 + 3x = 7x

Collect like terms

4 = 7x - 3x

4 = 4x

4x = 4

x = 4/4

x = 1

Since JL from the diagram = 7x

Hence:

7 × 1 = 7

JL = 7

Math






Help







Will



Give



Brainlist



:))

Answers

Answer:

2/3 mi

Step-by-step explanation:

Multiply the length of one side of a square by 4 to find the perimeter.

(1/6)(4) = 4/6

Simplify. The common factor is 2.

4/6 = 2/3

Sum of cubes:
(a + b)(a2 – ab + b2) = a3 + b3
Difference of cubes:
(a – b)(a2 + ab + b2) = a3 – b3
Which products result in a sum or difference of cubes? Check all that apply.

(x – 4)(x2 + 4x – 16)
(x – 1)(x2 – x + 1)
(x – 1)(x2 + x + 1)
(x + 1)( + x – 1)
(x + 4)(x2 – 4x + 16)
(x + 4)(x2 + 4x + 16)

Answers

Answer:

C and E

Step-by-step explanation:

Answer:

3 and 5

Step-by-step explanation:

The solution of this problem is in this picture.

Does someone know what the answer is? Help, please!

Answers

Answer:

if I'm not wrong it should be A

what is the answer to 0.7(1.5 + y) = 3.5y - 1.47

Answers

Answer:

0.9

Step-by-step explanation:

0.7*(1.5 + y) = 3.5y - 1.47

or, (0.7*1.5) + 0.7y = 3.5y - 1.47

or, 1.05 + 1.47 = 3.5y - 0.7y

or, 2.52 = 2.8y

or, y = 2.52/2.8

or, y = 0.9

Hope this will help. Please mark me brainliest.

Help Please with these​

Answers

Problem 17

Focus on one of the triangles. It has legs of 8 and 15. Use the pythagorean theorem to find the hypotenuse is 17.

Basically you're solving for c in a^2+b^2 = c^2. Use a = 8 and b = 15.

The diameter is 17 and the circumference is

C = pi*d = pi*17 = 17pi

Answer: 17pi

==============================================

Problem 18

This figure has four faces, so this is a tetrahedron. The "tetra" is greek that translates to "four".

Another possible name for this figure is triangular pyramid because we have a pyramid with a triangular base.

Answer: Triangular pyramid or tetrahedron

Which is the graph of linear inequality 2y > x-2?

Answers

Answer:

top line third option with shaded above.

Step-by-step explanation:

it's the third option because it's a

dotted line because it's not included (since it doesn't say greater than or equal to). Also, greater than is shaded above the line.

The third graph is the correct representation of the given inequality.

What are linear inequalities?

Linear inequalities are defined as a mathematical expression that compares two expressions using the inequality symbol.

The given inequality is 2y > x-2.

i.e y > (x-2)/2

Since the inequality sign does not contain an equals sign,  the line is drawn as a dashed line.

The upper region satisfies the inequality.

Hence, the upper shaded portion with the dashed line is the correct graph for the given inequality.

To learn more about linear inequality, use the link given below:

https://brainly.com/question/11897796

#SPJ2

12. In the diagram below…
What is the length of CB?
1) 3.2
2) 4.8
3) 16.2
4) 19.2

Answers

It is number 3 why beacseu if u don’t have the length them u can’t do the equation

Write two solutions for the following equation 2x+3y=24.

Answers

Answer: (12, 0) and (0, 8)

Step-by-step explanation:

This equation is in standard form. We can sub in a number for x to solve for y and vice versa.

Let's sub in 0 for x.

[tex]2x+3y=24\\2(0)+3y=24\\3y=24\\\frac{3y}{3} =\frac{24}{3} \\y=8[/tex]

When x is 0 y is 8 giving us the coordinate (0, 8).

Now lets sub in 0 for y

[tex]2x+3(0)=24\\2x=24\\\frac{2x}{2} =\frac{24}{2} \\x=12[/tex]

When y is 0 x is 12 giving us the coordinate (12, 0)

Step-by-step explanation:

Begin by solving for y

3y = -2x + 24 divide by 3

y =-(2/3)x + 24

Choose x so that it is divisible by 3

Let x = 6 which 3 can divide into evenly

y = -(2/3)*6 + 24 3 into 6 is 2 so you are left with

y = - 2 * 2 + 24

y = - 4 +24

y = 20

By a similar mthed, let x = 15

y = -2/3 x + 24

y = -2/3 * 15 +24

y = -2 * 5 + 24

y = -10 + 24

y = 14

So your two solutions are

(6,20)

(15,14)

What is 1/3 divided into 7 equal parts



Please help I made another one but I said I why on accident

Answers

Answer:

1/21

Step-by-step explanation:

1/3 / 7 = 1/3 / 7/1 = 1/3 * 1/7 = 1/21

Answer:

21

Step-by-step explanation:

1/3 x 7/1 you flip the 7 and you will have 1/3x1/7 and then u 7x3 and u will get 21

Divide. Express your answer in simplest form.

10/11 ÷ 2/3​

Answers

Answer:

[tex]1\frac{4}{11}[/tex]

Step-by-step explanation:

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: \frac{15}{11} }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➺[tex] \frac{10}{11} \div \frac{2}{3} [/tex]

➺[tex] \: \frac{10}{11} \times \frac{3}{2} [/tex]

➺[tex] \: \frac{10 \times 3}{11 \times 2} [/tex]

➺[tex] \: \frac{30}{22} [/tex]

➺[tex] \: \frac{15}{11} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

need help with this asap!

Answers

Answer:

Step-by-step explanation:

1 )  2 + 7t                        [ there are no like terms , so no further simplifying ]

2) 6r + ( - 16 r )

   =  6 r - 16 r                 [ both are like terms ]

   = - 10 r

3) (3x + 2 ) + ( 2x - 4 )

   = 3x + 2 + 2x - 4

   = 3x + 2x - 4 + 2               [ arranging like terms together ]

   = 5x - 2

4) (8 n² - 3 n + 6 ) + ( n - 2 )

   = 8n² - 3n  + 6 + n - 2

   = 8n² - 3n + n + 6 - 2             [ bringing like terms together ]

   = 8n² - 2n + 4

Answer:

1.) 2 + 7 t

2.) - 10 r

3.) 5 x - 2

4.) 8 n² - 2 n + 4

Step-by-step explanation:

1.) 2 + 7 t

No like terms, so no further simplifying.

2.) 6 r + ( - 16 r )

6 r - 16 r. ... ( combine like terms)

- 10 r

3.) ( 3 x + 2 ) + ( 2 x - 4 )

= 3 x + 2 + 2 x - 4

combine like terms

= 3 x + 2 x - 4 + 2

= 5 x - 2

4.) ( 8 n ² - 3 n + 6 ) + ( n - 2 )

= 8 n² - 3 n + 6 + n - 2

combine like terms

= 8n² - 3 n + n + 6 - 2

= 8 n² - 2 n + 4.

What are the vertices of triangle PQR?

Answers

Answer: D. P, Q and R.

Step-by-step explanation:

The vertices of the triangle PQR - it is P, Q and R.

A train leaves at 14:56 and arrives at 16:43. It travelled at an average speed of 135 km/h. How far did it travel? Give your answer in km to 1DP.

Answers

Answer:

240.8

Step-by-step explanation:

→ Calculate time taken

16:43 - 14:56 = 1 hour and 47 minutes

→ Write the speed formula and make distance the subject

Speed = Distance ÷ Time ⇔ Distance = Speed × Time

→ Convert 1 hour and 47 minutes into decimal format

1.78333333 or  [tex]1\frac{47}{60}[/tex]

→ Substitute values into formula

135 ×  [tex]1\frac{47}{60}[/tex]  = 240.75

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Write your anseer in simplest form PLEASE HELP! I'm lost. :(In 2005, 1,475,623 students heading to college took the SAT. The distribution of scores in the math section of the SAT follows a normal distribution with mean = 520 and population standard deviation = 115.What math SAT score is 1.5 standard deviations above the mean? Round answer to a whole number. Which of the following is not a basis foropposition to nuclear power?Select one:a. Generation of greenhouse gassesb. Security risksc. Efficiencyd. The risk of serious accident Please answer the following. Direct And Indirect Object Pronouns #1Nosotros les decimos la verdad. = Nosotros1.decimos.Yo siempre le doy amor. = Yo siempre 2.doy.T le mandas regalos. = T3.mandas.Yo te doy un regalo. = Yo4.doy.Ella nunca me presta su coche. = Ella nunca5.presta.Yo les hablo espaol. = Yohablo.Felipe siempre me sirve chiles. = Felipe siempre 7.sirve.To Antonio nos regala muchas bufandas. = To Antonio8.regalaYo te presto mis lentes. = Yo9.presto. pls help due in 1 hr Which number(s) below belong to the solution set of the equation? Check allthat applyx + 9 = 26A. 17B. 234C. 52D. 35E. 26F. 3 A test charge of -1.4 x 10-7 coulombs experiences a force of 5.4 x 10-1 newtons. Calculate the magnitude of the electric field created by thenegative test charge..1.4 x 106 newtons/coulomb.1.9 x 106 newtons/coulombOC. 5.4 x 10-1 newtons/coulombOD3.6 x 106 newtons/coulomb Complete the sentence using will/won't or may/might.1. I _____ visit you when I come to Mexico. I'm not sure.2. I probably _____ study engineering in college. It's a field that interests me.3. It's raining, so we _____ go swimming today.4. _____ you and Chris get married in the future?5. My friend are going the movies. I _____ go with them, but I'm not sure yet.6. The banks _____ be open on Monday because it's a holiday.7. Toshiro _____ definitely get the job because he speaks Japanese.8. Kara _____ get a full-time job after hight school, but her plans aren't certain. List 10 vices/ evil traits Old Major gives in his speech Rafael ate one-fourth of a pizza and Rocco ate one-third of it. What fraction of the pizza did they eat?They ate