How many years (to two decimal places) will it take $15000 to grow to $17500 if it is invested at 8% compounded semi- annually?

Answers

Answer 1

Answer:

1.97 years

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.08/2)] )

t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.04)] )

t = 1.965 years

:D


Related Questions

Help me please with this math problem

Answers

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

[tex](5x-14)+(8x+12)=180[/tex]

These two angles on the line is 180°

Solve the equation:

[tex]5x-14+8x+12=180[/tex]

[tex]5x+-14+8x+12=180[/tex]

[tex](5x+8x)+(-14+12)=180[/tex] {combine the like terms}

[tex]13x-2=180[/tex]

[tex]13x=180+2[/tex]

[tex]13x=182[/tex]

[tex]x=182/13[/tex]

[tex]x=14[/tex]

PROOF:

{substitute 14 in the place of x}

[tex](5(14)-14)+(8(14)+12)=180[/tex]

[tex]56+124=180[/tex]

[tex]180=180[/tex]

hope this helps....

Inscribe a circle in a unit square and to r= 1000 random.

a. Suppose that 760 of those darts land in the circle.
b. What would our estimate be if we let n â oo and we applied the same ratio strategy?

Answers

Step-by-step explanation:

area of square = 1

area of a circle in square = [tex]\pi r^2 = \pi *(1/2)^2 = \frac{\pi }{4}[/tex]

bu estimate  [tex]p^ = X/n = 760/1000 = 0.76

Therefore,

[tex]\frac{\pi }{4} \approx 0.76[/tex]

[tex]\pi \approx 0.76*4 =3.04[/tex]

b) if n tend to infinity

[tex]\pi will approach 3.14[/tex]

Answer:

uvfhmfa

Step-by-step explanation:

A) work out the value of g.
Give your answer in standard form correct to three significant figures.
B) work out the new value of g. Give your answer in standard form correct to 3 significant figures. (M is increased by 8% and T is increased by 5%).

Answers

Answer:

4547.14

Step-by-step explanation:

m increased by %8 so it'll be

[tex]6.588 \times {10}^{ - 5} [/tex]

and t will be

[tex]1.785 \times {10}^{ - 6} [/tex]

so G =

[tex] \sqrt{ \frac{(6.588 \times {10}^{ - 5}) }{ {(1.785 \times {10}^{ - 6}) }^{2} } } [/tex]

G= 4547

Find the slope and recept of the line Y=7/5x-3

Answers

Answer:

The slope 7/5 and the y intercept is -3

Step-by-step explanation:

Y=7/5x-3

This equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope 7/5 and the y intercept is -3

A family is planning to sell their home. If they want to be left with $116,100 after paying 10% of the selling price to a realtor as a commission, for how much must they sell the house?

Answers

116100 will be 90% of the selling price
The will need to sell for 116100 / 90 x 100 = $129000

The selling price is $129000

What is selling price?

The selling price of an item is the price at which it is sold.

Given that 10% of selling price is the commission.

So the family gets 90% of the selling price, which is given as $116,100.

i.e (90/100) * Selling Price = 116100

Therefore, the selling price is  (116100*100)/90 = 129000.

Hence, the family sell the house for the price of  $129,000

To learn more about selling price, use the link given below:

https://brainly.com/question/28017453

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If C(-2, 4) and D(-6, -1), then what is the length of CD? Round to the nearest tenth.

Answers

9514 1404 393

Answer:

  6.4

Step-by-step explanation:

The length is found from the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-6 -(-2))² +(-1-4)²) = √((-4)² +(-5)²) = √(16 +25) = √41

  d ≈ 6.4

Answer:

6.4

Step-by-step explanation:

hope it helps

#GAUTHMATH

solve 4(8-2x)=2(7-x)​

Answers

Answer and Step-by-step explanation:

Solve for x.

First, we divide both sides of the equation by 2.

2(8 - 2x) = 7 - x

Distribute the 2.

16 - 4x = 7 - x

Add 4x to and subtract 7 from both sides of the equation.

9 = 3x

Divide by 3 to both sides of the equation.

x = 3 <-- This is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

4(8 - 2x) = 2(7 - x)

Step 2: Solve for x

[Division Property of Equality] Divide 2 on both sides:                                  2(8 - 2x) = 7 - x[Distributive Property] Distribute 2:                                                                 16 - 4x = 7 - x[Addition Property of Equality] Add x on both sides:                                     16 - 3x = 7[Subtraction Property of Equality] Subtract 16 on both sides:                       -3x = -9[Division Property of Equality] Divide -3 on both sides:                                x = 3

A fair coin is tossed 5000 times. What can you say about getting the outcome of exactly 2500 tails

Answers

Step-by-step explanation:

You can't expect to get exactly 2500 out of 5000 tosses more than a few times . You will come pretty close, but that's only good in horseshoes.

Of course I'm answering this on the basis of a computer language and not actually performinig this a million tmes, each part of a million consisting of 5000 tosses.

Simulations and not completely unbiased, but based on experience, 5000 is a very small number and getting 2500 more than a couple of times is unlikely

ANSWER:

The probability of flipping a coin

coming up heads and tails is 1/2.

_________________

So, toss 5000 times 5000/2= 2500

heads: 2500

tails : 2500

8a+6ab+5b,-6a-ab-8b and - 4a+2ab+3b

Pls answer this question ​

Answers

Answer:

4 a+8 ab+8b

Step-by-step explanation:

8 a-4 a+6ab+2ab+5 b+3 b

4 a+8 ab+8b

Which of the following types of data are likely to be normally distributed? Check all that apply.
A. The number of times Americans have been struck by lightning
B. The distance of an archer's shots from the center of a target
C. The time it takes for an airliner to fly from Los Angeles to New York
D. The outcomes of rolling a single fair die

Answers

Answer:

B. The distance of an archer's shots from the center of a target

C. The time it takes for an airliner to fly from Los Angeles to New York

Step-by-step explanation:

According to the Question,

B & C should each have a range of values that cover most occurrences with outlying values that decrease in number as they move further away from the dominant value range, which is the definition of a normal distribution.

Therefore, The answer is C the time it takes for an airliner to fly from Los Angeles to New York City, and B the distance of an archer's shot from the center of a target.

help me find answer i need answer please hlep

Answers

Answer:

7

Step-by-step explanation:

This is correct answer bro...

Answer:

7

Step-by-step explanation:

So first off, two numbers that are to the same root can be combined.

In this case we can combine these two values, since they are to the 5th root and are both 7:

[tex]\sqrt[5]{7*7^4}[/tex]

=

[tex]\sqrt[5]{49^4}[/tex]

This can be broken down into 7^2

This gets us [tex]\sqrt[5]{7^5}[/tex]

Remember that we add exponents, together, so in this case it adds up to 5.

You might be wondering...well if its 7^2 and 7^4, wouldnt it be 7^6?

Well, remember this. One of the 7s in 7^2 is from the 7^4, so tecnically it is 7^3 + 7^2, which is 7^5

Anyway, now we have:

[tex]\sqrt[5]{7^5}[/tex]

When you root a exponent, it works like subtraction.

In this case we have a exponent of 5, and a root of 5.

This is 5-5 = 0

So it will just be 7. Because the square and root cancel each other out, leaving us with 7.

Hope this helps!

Also, I  just watched you waste someone elses answer so you could ask your own question. Instead of wasting other peopes answers, message me on one of my questions or answers, I will help you for free. :D

the distance between Johannesburg and bloemfontein is estimated at 435km. if they travel at an average speed of 120km per hour,how long will it take them to travel from Johannesburg to bloemfontein? give answer in hours ,minutes and seconds​

Answers

Answer:

3.625h,217.5min,13050sec

Step-by-step explanation:

S=vt

t=S/v

t=435/120 (km) /(km/h) =3.625h

t= 3.625*60 min = 217.5 min

t=217.5*60sec = 13050 sec

Answer:

t= 3.625 gio 217.5 phút = 13.050 giây

Step-by-step explanation:

s= vt

t=s/v

t= 435/120= 3.625 gio

t= 3.625*60=217.5 phút

t=  217.5*60 = 13.050 giây

Suppose a group of 12 students consists of five freshmen and seven sophomores. How many six-student teams can be chosen that consist of three freshmen and three sophomores? Give your answer as an integer.

Answers

Answer:

350

Step-by-step explanation:

Anyone knows what the answer for this is I am really confused on it

Answers

By replacing x in the equation with -1 our result will be 1.5. So f(-1)=1.5

When the demand for a good is highly elastic with respect to price, how should a producer want to increase revenue?

Answers

Answer:

When the demand for a good is highly elastic, the producer can increase revenue by reducing the price slightly.

Explanation:

Prices can either be Elastic, Inelastic, or Unitary.

The assumption is that the scenario in the question is in a perfect market. A perfect market is one where there are numerous buyers and sellers and there is little or no gap in information about market conditions such as cost of input, prices of the competition, etc.

When the demand for a product is elastic, it means that it is sensitive to changes in price. Price Elasticity is in degrees. When the demand for a product is highly elastic, it means that small changes in price lead to even greater changes in demand.

So for the producer to increase revenue in the short run (all things being equal) all they need to do is reduce the price slightly. This will increase revenue because it most likely will translate to a more than proportionate increase in quantity demanded.

Recall that markets are dynamic and the most predictable reaction of the other producers to this move will be an equal or even greater reduction in price in order to win back lost customers. Hence to sustainably maintain this position The producer will have to ensure that their product is sufficiently differentiated with unique value additions that are impossible or difficult to replicate.

Cheers

Find the equation of the exponential function represented by the table below:
х
y
03
1
1
9
2 27
3
81

Answers

Answer:

$53.07

Step-by-step explanation:

Delta Math

If two systems of linear equations have the same solution set (in other words, the two systems are equivalent), then they must have the same number of equations.

a. True
b. False

Answers

Answer:

False.

Step-by-step explanation:

Equivalent systems of equations are those that have the same solutions or roots, although they have different numbers of equations. Equivalent systems of equations must have the same number of unknowns.

In other words, two systems of equations are said to be equivalent when they have the same solutions. Equivalent systems of equations do not have to have the same number of equations, although they do have to have the same number of unknowns.

So, the sentence is false.

How much is 12,856 ounces in pounds ?

Answers

Answer : 803.5 pounds

There are 16 ounces in a pound, so just divide 12,856 by 16, giving you 803.5.

Trigonometry help please? I need the three answers

Answers

Answer:

Both triangles are triangle rectangles, but the triangles are not similar.

Step-by-step explanation:

By the Pythagorean's theorem, we know that for a triangle rectangle the sum of the squares of the cathetus is equal to the square of the hypotenuse.

Where the cathetus are always the two sides of smaller length.

We also know that two figures are similar if all the correspondent sides are proportional to each other, this means that the figures have the same shape but different size.

First, for triangle A the measures of the sides are:

48, 55, 73

Here the two catheti are 48 and 55, and the hypotenuse is 73.

Then to answer the first question we need to try to apply the Pythagorean's theorem, we should have:

48^2 + 55^2 = 73^2

solving that we get:

5,329 = 5,329

This is true, thus triangle A is a triangle rectangle.

Now for triangle B the measures are: 36, 77 and 85.

So the catheti are 36 and 77, and the hypotenuse is 85

So to check if triangle B is a triangle rectangle the equation:

36^2 + 77^2 = 85^2

must be true, solving both sides we get:

7,225 = 7,225

This is true, so triangle B is a triangle rectangle.

Finally, to check if the figures are similar we need to compare the correspondent sides of both triangles, such that the quotient of correspondent sides must be always the same.

For the hypotenuses, if we compute:

(hypotenuse B)/(Hypotenuse A) we get:

85/73 = 1.16

Now if we do the same for the two smaller catheti we get:

36/48 = 0.75

The quotients are different, thus the triangles are not similar.

determin 16x - 4y + 2 = 0

Answers

Answer:

16inches is your answer

Determine the measure of

CD
from the diagram below.

Answers

Answer:

m(arc CD) = 112°

Step-by-step explanation:

Use the property of intersecting chords and angles between these chords,

m∠CED = [tex]\frac{1}{2}(\text{arc CD}+\text{arc}AB)[/tex]

m∠CED + m∠AED = 180°

80° + m∠CED = 180°

m∠CED = 100°

Now substitute the measure of angle CED and arc AB in the expression,

100° = [tex]\frac{1}{2}(88^{\circ}+\text{arc CD})[/tex]

200° = 88° + m(arc CD)

m(arc CD) = 112°

In a circle with a radius of 7.7, an angle intercepts an arc of length 29.6
Find the angle in radians, to the nearest tenth

Answers

9514 1404 393

Answer:

  3.8 radians

Step-by-step explanation:

The length of an arc is given by ...

  s = rθ . . . . . where r is the radius and θ is in radians

so the angle is ...

  θ = s/r

  θ = 29.6/7.7 ≈ 3.8

The angle is about 3.8 radians.

Which of the following is the graph of f(x)=║x║translated 2 units right, 2 units up, and dilated by a factor of 1/3?

Answers

Answer:

c on edge2021

Step-by-step explanation:

Show number that 0.245 is Rational number

Answers

Answer:

A rational number is one that may be represented in the manner p/q.

245/1000 = 0.245

Step-by-step explanation:

0.245 is not an integer. It is a rational number.

What is the value of x in the equation 1/5x-2/3y = 30, when y = 15

Answers

Answer:

x=200

Step-by-step explanation:

(1/5)x-(2/3)y=30, y=15

(1/5)x-(2/3)*15=30

(1/5)x=40

x=200

solve the following function 3x^{2x-7}=9.

Answers

Answer:

3x-2x+7=-9

We simplify the equation to the form, which is simple to understand  

3x-2x+7=-9

We move all terms containing x to the left and all other terms to the right.  

+3x-2x=-9-7

We simplify left and right side of the equation.  

+1x=-16

We divide both sides of the equation by 1 to get x.  

x=-16

X = -16
I hope this helps you

Use identities to simplify

Answers

(B)

Explanation:

[tex](\sec \beta + 1)(\tan \beta \csc \beta - 1)[/tex]

[tex]=\left(\dfrac{1}{\cos\beta} + 1 \right) \left(\dfrac{\sin \beta}{\cos \beta} \dfrac{1}{\sin \beta} - 1 \right)[/tex]

[tex]=\left(\dfrac{1}{\cos\beta} + 1 \right) \left(\dfrac{1}{\cos \beta} - 1 \right)[/tex]

[tex]= \left(\dfrac{1}{\cos^2 \beta} - 1 \right)[/tex]

[tex]= \left(\dfrac{1 - \cos^2 \beta}{\cos^2 \beta} \right)[/tex]

[tex]= \dfrac{\sin^2 \beta}{\cos^2 \beta}[/tex]

[tex]= \tan^2 \beta[/tex]

17. Omar has a piece of rope. He ties a knot in the rope and measures the new length of the rope.
He then repeats this process several times. Some of the data collected are listed in the table
below.
Number of Knots
Length of Rope
(cm)
4 5 6 7 8
64 58 52 46 40
State, the linear equation that gives the length, y, of the rope after tying x knots.

Answers

Answer:

Step-by-step explanation: If I is intial height (y=I-6x) because Height = intial height + numbrt of knots -6 becuase as shown in the table every knot takes away 6 cm.

The linear equation that represents the length of the rope (y) after tying 'x' knots is:  y = f(x) = 88 - 6x

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, 'A' is a coefficient and 'B' is constant".

Here, the number of knots are x = 4, 5, 6, 7, 8.

The length of the rope remains after each knots y = 64, 58, 52, 46, 40.

After tying 5th knot, the length of the rope decreases

= (64 - 58) cm

= 6 cm

After tying 6th knot, the length of the rope decreases

= (58 - 52) cm

= 6 cm

After tying 7th knot, the length of the rope decreases

= (52 - 46) cm

= 6 cm

After tying 5th knot, the length of the rope decreases

= (46 - 40) cm

= 6 cm

Initial length of the rope was = (64 + 4 × 6) cm = 88 cm

With the increase in value of 'x' by 1, the value of 'y' decreases by 6.

Therefore, the required equation: y = f(x) = 88 - 6x

Learn more about a linear equation here: https://brainly.com/question/3269317

#SPJ2

Can somebody help me? I feel like this is wrong

Answers

The y-intercept is correct but the slope is wrong , go take any 2 points from the graph and use the rule , y2-y1/x2-x1 , to find the slope

Which I got was y=-1/3x+5

I really hope that helps and my deepest apologies if my answer turned out wrong!!
The answer is

y= -0.3x +5

Consider x1= 9
Y1=2
x2= 0
y2 = 5

Slope is

m = 3 / -9 = 1 / -3 = -0.33333

The entered points belong to a decreasing, linear function.
Equation: y = -0.33333x + 5.


m = 3 / -9 = 1 / -3 = -0.33333

G.1.- Una Recta contiene los puntos (-3,7)
y (9,-5) Calcule la ecuación de la recta en la
FORma y=mxtb. Explicar los pasos

Answers

Given:

A line passes through the points (-3,7) and (9,-5).

To find:

The equation of the line in the form of [tex]y=mx+b[/tex].

Solution:

If a line passes through two points, then the equation of the line is:

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

A line passes through the points (-3,7) and (9,-5). So, the equation of the given line is:

[tex]y-7=\dfrac{-5-7}{9-(-3)}(x-(-3))[/tex]

[tex]y-7=\dfrac{-5-7}{9+3}(x+3)[/tex]

[tex]y-7=\dfrac{-12}{12}(x+3)[/tex]

[tex]y-7=-1(x+3)[/tex]

On further simplification, we get

[tex]y-7=-x-3[/tex]

[tex]y-7+7=-x-3+7[/tex]

[tex]y=-x+4[/tex]

Therefore, the equation of the required line is [tex]y=-x+4[/tex].

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