Rachel invests $25,000 at age 25. She hopes the investment will be worth $125,000 when she turns 50. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal? Round to the nearest tenth of a percent.

Answers

Answer 1

The rate of growth will she need to achieve her goal is 2.8%

The formula for finding the compound amount is expressed as:

[tex]A =P(1+\frac{r}{n} )^{nt}[/tex]

P is the amount invested = $25000

t is the time in years = 25 years

A is the amount = $125000

r is the rate in %

Substitute the given parameters into the formula to have:

[tex]125000 =25000(1+r )^{25}\\5 =(1+r)^{25}\\log5=25log(1+r)\\log(1+r)=\frac{log5}{25} \\log(1+r)=0.02796\\1+r = e^{0.02795}\\1+r=1.0283\\r = 1.0283 -1\\r = 0.0283\\[/tex]

Hence the rate of growth will she need to achieve her goal is 2.8%

Learn more about compound amount here: https://brainly.com/question/18442810


Related Questions

The values of x and y which satisfy the equations
x + 2 y = 27 and 2x - y = 19 are respectively
(A) 15 and 10
(B) 10 and 15
(C) 7 and 13
(D) 13 and 7

Answers

D) 13 and 7

This is because when the value of x is 13 and the value of y is 7, these equations both become true.

what i ls the value of
[tex]\pi[/tex]

Answers

Step-by-step explanation:

π can be taken as approximation of 22/7 ≈ 3.14

What is the probability of randomly selecting a month of the year and not getting a month that has fewer than 30 days

Answers

Answer

11 out of 12

11/12

Step-by-step explanation:

what is the definition of fixed percent?

Answers

Answer:

the quotient, fixed as a percentage

Step-by-step explanation:

Answer:

Fixed Percentage means, the quotient, expressed as a percentage, obtained by dividing the unexpended and not withdrawn amount of the Allocated Amount, at the time a Net Profits Interest is assigned by the total of (i) the unexpended and not withdrawn amount of the Allocated Amount and (ii) the unexpended and not.

I need help , how do we know if the graph are positive or negative

Answers

Answer:

The negatives are at the bottom and the positives are at the top, if you need help with the (x,y) let me know!!!

Step-by-step explanation:

Answer:

right and above side of graph are positive

and

left and bottom side of graph are negative

Solve 3h+g=5h-hg for h

Answers

Answer: [tex]h=\frac{-g}{g-2}[/tex]

Step-by-step explanation:

Let's solve for h.

[tex]3h+g=5h-hg[/tex]

Step 1: Add [tex]gh[/tex] to both sides.

[tex]g+3h+gh=-gh+5h+gh[/tex]

[tex]gh+g+3h=5h[/tex]

Step 2: Add [tex]-5h[/tex] to both sides.

[tex]gh+g+3h+-5h=5h+-5h[/tex]

[tex]gh+g-2h=0[/tex]

Step 3: Add [tex]-g[/tex] to both sides.

[tex]gh+g-2h+-g=0+-g[/tex]

[tex]gh-2h=-g[/tex]

Step 4: Factor out the variable [tex]h[/tex].

[tex]h(g-2)=-g[/tex]

Step 5: Divide both sides by [tex]g-2[/tex].

[tex]\frac{h(g-2)}{g-2} =\frac{-g}{g-2}[/tex]

[tex]h=\frac{-g}{g-2}[/tex]

Answer:

[tex]h=\frac{-g}{g-2}[/tex]

Given right triangle ABC, where side "c" is the
hypotenuse, angle B measures 44 degrees, and side
c measures 17 m, find the length of side b.
Round your answer to the nearest hundredth of
meter

Answers

Answer:

b = 11.81 m

Step-by-step explanation:

b = c . sinB = 17sin44 = 11.81

scientific form of 47500000000​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Scientific notation for above value is ~

[tex]4.75 \times 10 {}^{10} [/tex]

[tex]Hello[/tex] [tex]There![/tex]

First, let's make sure our coefficient is between 1 and 10:

4.75

All numbers in scientific notation look like this:

___x10^- (some number)

4.75x10^

Now, the number is large, so the exponent is positive.

So we move the decimal place some number of units. We move the decimal place 10 units, so the exponent is 10:

4.75x10^10

Hope this helps!

~Just a felicitous girlie

#CarryOnLearning

[tex]SilentNature[/tex]

A desk is on sale for 15% off. The sale price is $612.
What is the regular price?

Answers

Answer:

$720

Step-by-step explanation:

Step 1: Set up the expression.

[tex]\frac{612}{1-0.15}[/tex]

Step 2: Simplify.

[tex]\frac{612}{0.85}[/tex]

Step 3: Convert 0.85 into a fraction.

[tex]612/ \frac{85}{100}[/tex] [tex]612/ \frac{17}{20}[/tex]

Step 4: Multiply 612 by reciprocal of 17/20.

[tex]612 * \frac{20}{17}[/tex] [tex]36 * 20[/tex] [tex]720[/tex]

Therefore, the regular price was $720.

7÷5=2. Prove It




Based on Critical Thinking and Reasoning. Not normal mathematics.

Answers

the answer is 1.4 not 2

Hey dude! you want some make of noise? I'm Dj from Pennsylvania ​

Answers

……,,,,,,,,,,,,,,,,……..

I drove to the beach at a rate of 40 miles per hour. If I had driven at a rate of 30 miles per hour instead, then I would have arrived 25 minutes later. How many miles did I drive?

Answers

Step-by-step explanation:

x = number of hours driven

25 minutes = 5/12 hour

remember,

1 hour = 60 Minuten

5 minutes = 60/12 minutes = 1/12 hour

25 minutes = 5×5 minutes = 5/12 hour

x hours × 40 miles/hour = (x + 5/12) hours × 30 miles/hour

the dimensions "hour" eliminate each other from the top and the bottom of the fractions leaving only miles. and the miles must be the same either way.

40x = (x + 5/12)×30 = 30x + 150/12

10x = 150/12

x = 15/12 = 5/4 hours

40 miles/hour × 5/4 hours = 40×5/4 miles = 10×5 = 50 miles.

I drove 50 miles.

HELP ME OUT PLEASE!

How many total atoms of Nitrogen are shown in the formula below?

O 2

O 4

O 6

O 8​

Answers

Answer:

A) 2

Step-by-step explanation:

It shows it in the formula.

There are 63 students in band. This represents 30% of the grade. How many students are in the entire grade

Answers

So, the question is 63 is 30% of what number?

That can translate to the equation

     63 = 30% · x     or     63 = 0.3x

Divide by 0.3 and you get x = 210.

There are 210 students in band.

Answer:

210 students

Step-by-step explanation:

210 x (3/10) = 63

4. If the paint costs $30 per gallon and you need to spend $60 on supplies, and you can
save $45 per month, in how many months will you have enough money for the project?

Answers

Step-by-step explanation:

if I understand this right, then you need paint and additional supplies.

but I don't see any information indicating how many gallons of paint I will need.

so, I can go only with the 1 gallon specified.

so,

1×30 + 60 = $90

we can save $45 per month.

then we need

90 / 45 = 2

months to have enough money.

please update the numbers to how many gallons you really need, and then take that result and divide it by the 45 savings per month.

a number divided by 5 increased by 4

Answers

Answer:

(n/5)+4

Step-by-step explanation:

I think you were asking for the equation?

Answer:

X/5 + 4

Step-by-step explanation:

X is the “number”

Each square below represents one whole …. What percent is represented by the shaded area?

Answers

Answer:

3/4

Step-by-step explanation:

because there are 4 parts and only three are shaded so 3/4

3/4 or .75 or 75%

How many ? yards = 6 miles

Answers

[tex]6 \: miles⟹10560 \: yards[/tex]

Answer:

6 miles = 10560 yards

Step-by-step explanation:

To calculate a mile value to the corresponding value in yard, just multiply the quantity in mile by 1760 (the conversion factor). Here is the formula:

Value in yards = value in mile × 1760

Suppose you want to convert 6 mile into yards. Using the conversion formula above, you will get:

Value in yard = 6 × 1760 = 10560 yards

27 red bikes out of 33 bikes

Answers

The total is 33 bikes. 27 out of the 33 bikes are red. Therefore, we have a number of parts to a whole, so we can create a fraction to calculate the percentage of red bikes.

27/33 = .818

.818 x 100 = 81.81%.

• To calculate a percentage, divide the numerator by the denominator and multiply by 100. Here’s a formula to remember: n/d•100, where n=numerator and d=denominator.

Therefore, 81.81% of the bikes are red.

Feel free to give Brainliest!

Jane & Jim spent the same amount of money today. If Jim spent
$5.25 on food and rode the train 3 times, and Jane spent $12.45 on
food and rode the roller coaster twice, then how much does a
token cost?

Answers

Answer:4$

Step-by-step explanation

The cost of one token is 7.2 dollars.

What is a linear equation in one variable ?

A linear equation is an algebraic equation of highest degree 1 the number of variable is 1 also.

According to the given question Jane & Jim spent the same amount of money today.

Jim spent 5.25 dollars on food and rode the train 3 times, and Jane spent 12.45 dollars on food and rode the roller coaster twice.

Assuming cost of a token to be T.

∴ 5.25 + 3T = 12.45 + 2T.

3T - 2T = 12.45 - 5.25

T = 7.2.

learn more about linear equation here :

https://brainly.com/question/13738061

#SPJ2

what is the solution of the equation ? 3=2w

Answers

Answer:

w = 1.5

Step-by-step explanation:

Question:To find the solution that is 'w'

Equation:3 = 2w

Solution:

3 = 2w

=> 2w = 3

[tex] = > w = \frac{3}{2} [/tex]

=> w = 1.5 (Ans)

In circle D, which is tangent to the circle?

Line G H
Line segment A B
CD
EF

Answers

Answer:

line segment A B

Step-by-step explanation:

it's really a ray, not a line segment

In circle D, the AB line segment is tangent to the circle.

What are the properties of the circle?

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

The general coordinate equation of a circle is:

(x-h)² + (y - k)² = r²

Where,

(h, k) is the center of a circle,

"r" is the radius of the circle.

Since A line that only has one point where it crosses a circle is said to be tangent to the circle. The point of contact is the location where the circle and the tangent meet.

Thus, in the given figure AB is the tangent line segment of the circle D.

From the properties of the circle, we can state that,

FE is Diameter,

The CD is representing the radius, and

GH is representing the Secant line of the circle D.

Therefore, In circle D, the AB line segment is tangent to the circle.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ7

Find the product using formula ...


formula = ( a + b ) ( a - b )


a) 1.2 × 2.8​

Answers

Step-by-step explanation:

1.2 × 2.8

(2 - 0.8 )(2 + 0.8)

2² - (0.8)²

4 - 0.64

3.36

Solution:

[tex]1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36[/tex]

Answer:

3.36

Hope it helps.

Do comment if you have any query

Original price of an SUV $12,000.00 Tax:5.3%

Answers

The tax would be $636 and the total cost would be $12,636 if that's what you're asking.

9.3 of sugar is need for every cake made how much sugar is needed for 6 cakes

Answers

Answer:

484836281726261919292762

Answer:

55.8

Step-by-step explanation:

if 1 cake needs 9.3, 6 cakes would need (6*9.3)

9.3 * 6 = 55.8

Question 3 What is the equation of the parabola that opens up, has a vertex V(5,0), and a y-intercept of 50?​

Answers

Answer:

y=2(x-5)^2

Step-by-step explanation:

Vertex form:

y=a(x-p)^2+q

(p,q) = (5,0)

y=a(x-5)^2

y-intercept has coordinates (0,50) so, substitute x=0 and y= 50 in the above equation to find "a"

50=a(0-5)^2

50=25a

a=2

equation

y=2(x-5)^2

(1 point)
Write the complex number z= -7-10i in polar form: z = r(cos (theta)+ i sin (theta)) where r= and 0 =
The angle should satisfy 0<=theta<=2pi

Answers

Answer:

When a complex number z is written in its polar form,z = r(cos theta + i sin theta), the nonnegative number r is called the magnitude, or modulus, of z.

In mathematics, magnitude is the size of a mathematical object, a property by which the object can be compared as larger as or smaller than other objects of the same kind. More formally, an object's magnitude is an ordering (or ranking) of the class of objects to which it belongs.

I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Can someone help me on this

Answers

Answer:

39V3 Sq.units of that will help you

What is the value of y in y = 2x - 5, when x = 3.9?

Answers

Answer:

Y = -3 and with x as 3.9 y equals 2.8

Step-by-step explanation:

What is 100% of 63?
PLEASE ANSWER QUICKLY

Answers

Answer:

100 percent of 63 is 63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

100 x 63 /100 = 63

Other Questions
Students in class argue about whether salt (NaCl) or water (H2O) has stronger intramolecular forces. Which argument is BEST?Question 3 options:Water because it is a common material and will have stronger intramolecular force.Water is attracted to salt and salt dissociates, so water has stronger intramolecular forces.Salt never melted and water has a lower boiling point, so salt has stronger intramolecular forces.Salt is a solid and water is a liquid, so water has stronger intramolecular forces. Negation: Fill in the blanks in the following sentences with the appropriate negative word.1. Conoces a alguien de Puerto Rico? No, no conozco a ____de Puerto Rico.2. Sabes algo de ese tema? No, no s_____. .3. Ves algn programa interesante? No, no veo _____ programa interesante.4. No me gustan las espinacas! A m ____ me gustan.5. Vas a ver pelculas? No, no voy a ver _____. . What is the relationship between the light-dependent and light-independent reactions of photosynthesis An atom contains 32 protons and 48 neutrons.(a) What is its atomic number?(b) How many electrons does it have?(c) What is the mass of the atom? Evaluate 64^1/2x10^-2Give your answer as a fraction in its simplest form. Pick the correct answer! 1. Why does the octet rule apply primarily to main-group elements, not to transition metals? a. The octet rule states that main-group elements tend to react so that they attain a halogen electron configuration. b. The octet rule states that transition metal-group elements tend to react so that they attain a noble gas electron configuration. c. The octet rule states that main-group elements tend to react so that they attain a ionic electron configuration. d. The octet rule states that main-group elements tend to react so that they attain a noble gas electron configuration. 4. In a simple random sample of 120 women and 150 men froma population of 150,000, 25% of the women and 37% of the menare smokers. Suppose you are interested in comparing theproportion of smokers by sex, compute the Z statistic. There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples? If an object's position over time is given by the function d(t)=(t^2 +3)e^-1/2 for greater than 0 , on what interval is the object's position increasing and concave down ? A company's ____________ are the priorities, principles, and beliefs that guide the company. A. Strengths B. Demographics C. Values D. Opportunities Please select the best answer from the choices provided A B C D. What is the value for y?Enter your answer in the box.y= Which number is a zero of the given function?g(x) = (x^2 36) (x + 7) when intermountain healthcare wants patients to have comprehensive, standardized, detailed information about their condition and their treatment plan, what is the most appropriate way to communicate this information to providers, who will then give it to patients? Find the 59th term of the arithmetic sequence 26, 17, 8, ...26,17,8, Marco is making a kite, using sticks for its diagonals. One stick is 2 feet long and the other is 3 feet long. How much material will Marco need to make the kite? 2 square feet 3 square feet 4 square feet 6 square feet. 7. Karen opened a savings account with $500. The money earns 0.2% interest per month. If she does not make any withdraws or any more deposits, approximately how much money will Karen have in the account after two years? (North Carolina Math 2)A. $502 B. $512 C. $515 D. $525 can somebody help me with my language arts please??? SIMPLE INTEREST:Jessie deposited P150,000 in an account that pays 3% simple interest.How much interest will he earn after 10 years? My mission calls for military actions at 32 degrees north and 43 degrees east. What country am I in? tell the number of decimal places that will be in the product1. 6.30.75=___2. 9.748.8=____3. 5.9662.15=___4. 37.68.3=____