Melanie is going to invest $45,000 and leave it in an account for 20 years. Assuming
the interest is compounded continuously, what interest rate, to the nearest
hundredth of a percent, would be required in order for Melanie to end up with
$142,000?

Answers

Answer 1

Answer:

Rate of interest r = 5.20% (Approx.)

Step-by-step explanation:

Given:

Amount invested p = $45,000

Final amount A = $142,000

Number of year = 20

Find:

Rate of interest r

Computation:

A = p[1+r]ⁿ

142,000 = 45,000[1+r]²⁰

3.1556 = [1+r]²⁰

r = 5.194

Rate of interest r = 5.20% (Approx.)


Related Questions

Found on __, genes determine which __ your cells will make.

(Which word belongs in the blanks?)

Variants, Organism, structure, function, mutations, proteins, genes.

Answers

Found on organism, genes determine which protein your cells will make.

What is genes?

A gene is a fundamental unit of heredity that encodes the production of a gene product as a sequence of nucleotides in DNA.

Genes, which may be found on the organism, govern which protein your cells will produce.

Found on organism, genes determine which protein your cells will make.

Hence, organism,and protein are the correct answer.

To learn more about the genes, refer:

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Solve 3≥y−2. Graph the solution. The solution is

Answers

Answer:

y  ≤  5

Step-by-step explanation:

too lazy to explain :/


Find lateral surface
area of the play tent.
h = 4 in
14 in
5 in
5 in
W
6 in

Answers

Answer:

224 in.²

Step-by-step explanation:

The tent has a shape of a triangular prism. So, we are looking for the Lateral surface area of a triangular prism.

Lateral surface area of a triangular prism = Perimeter of base × height of prism

Perimeter of base = 5 + 6 + 5 = 16 in.

Height of prism = 14 in.

Plug in the values

Lateral Surface Area = 16 × 14 = 224 in.²

Let X and Y be independent Bernoulli random variables with parameters 0.2 and 0.3, respectively. Find the distribution of X Y. List all possible values that X Y can take. Write your answer as a comma-separated list ordered from smallest to largest value. possible values: List the probabilities that X Y takes each of the values. Write your answer as a comma-separated list giving the probabilities in the same order as in (a)

Answers

Answer:

a)  0 , 1

b) 0.56 , 0.06

Step-by-step explanation:

X = 0.2

Y = 0.3

Find the distribution of X + Y

a) All the possible values of  X + Y

The possible values of X + Y  are ; 0,1

b) The probabilities that X + Y takes each of the values

P(X+Y=0 ) = ( 1-0.2 )*(1-0.3) = 0.56

P( X +Y = 1) = 0.2*0.3 = 0.06

hi guys what is and can u please do the method 4050 divided by 100

Answers

Answer:

40.5

Step-by-step explanation:

what i do is I divided first by 10. because 100 is 10x10.

so 4050 divided by 10 is 405.

405 divided by 10 is 40.5

4050 divided by 100 = 40.5

I WILL GIVE YOU BRAINERLEST AND A LIKE

The area of a triangle is 20 square feet.
What are the height and base of the
triangle?

Answers

The height is 5 and the base is 8

How many solutions does this system of equations have?

Answers

Answer:

this equation will have 2 solutions

It will be 2 solutions

Given tan theta = -2 and pi/2 < theta < pi; find cos2theta.
a. - 4/3
b.- 4/5
c. 3/4
d. - 3/5

PLEASE HELP ASAP

Answers

Answer:

Cos 2theta = -3/5

Step-by-step explanation:

Given that;

tan theta = -2

tan theta = -2/1 = opp/adj

hyp^2 = (-2)^2+1^2

hyp = √4+1

hyp = √5

sin theta = opp/hyp

sin theta = -2/√5

Cos theta = adj/hyp

Cos theta = -2/√5

Cos 2theta = 1-2sin^2 theta

Cos 2theta = 1- 2(-2/√5)^2

Cos 2theta = 1- 2(4/5)

Cos 2theta = 1- 8/5

Cos 2theta = (5-8)/5

Cos 2theta = -3/5

Find the gcd of 30,45,75

Answers

Answer:

gcd is 15

have a good day ahead

Answer:

15

Step-by-step explanation:

each number is divisible by 15

if you have 10 gums and then you take out 5 how much will you have left

Answers

Answer:

10, cos gums can't be removed

Answer:

5

Step-by-step explanation:

this is a standard subtraction problem:

10 - 5 = 5

So you have 5 gums left

Katie needs 3/4 cup sugar to make cookies. She only has 1/3. How much more sugar does Katie need?​

Answers

Answer:

I think it is 5/12 but might be wrong

Step-by-step explanation:

Subtracted 1/3 from 3/4

The Wells family uses up a
1
2
-gallon jug of milk every 3 days. At what rate do they drink milk?
Simplify your answer and write it as a proper fraction, mixed number, or whole number

Answers

Answer:

4 gallons/1 day

Step-by-step explanation:

What is a rate? A rate is writing a ratio in fraction form. A ratio is the proportion of two things. (ex: for every 1 dog, there are two cats.)

Creating the ratio: For the ratio, there is no given amount of which one needs  to come first, but because it is about the milk, I put that first. In the problem it says 12 gallons for 3 days so: 12/3

Simplifying: To simplify, think of the largest factor between the two numbers. If you can't immediately, think of one factor in common and keep simplifying. In this case, 4 is the greatest common factor between these. To simplify, divide both sides by four, and that is your answer: 4: 1

Answer please and explain

Answers

Answer:

Its about 678.584

Step-by-step explanation:

First plug in your given info so put 6 for the r and 6 for thr h. the r stands for radius and the h stands for hight. Then solve for 6 squared which is just 6*6 which is 36 then multiply that by 6 to get 216. then multiply 216 by pie to get your answer.  

If you need further explanation just comment on this for help

Which of the following best describes the correlation coefficient of r = -0.09 ?

Answers

Hi! May you please comment the options

What is { 1 + 7 - 6 + 99 }

Answers

1 + 7 - 6 + 99 = 101

Step-by-step explanation:

7 + 1 = 8

8 - 6 = 2

99 + 2 = 101

Hope to be brainliest! #SpreadTheKnowledge

Answer:

101

that was easy:D

mark me as brainliest plz

Researchers studying the relationship between honesty, age, and self-control conducted an experiment on 160 children between the ages of 5 and 15. The researchers asked each child to toss a fair coin in private and to record the outcome (white or black) on a paper sheet, and said they would only reward children who report white. Half the students were explicitly told not to cheat and the others were not given any explicit instructions. Differences were observed in the cheating rates in the instruction and no instruction groups, as well as some differences across children's characteristics within each group.
(a) Identify the population of interest and the sample in this study.
(b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.

Answers

Answer:

A) Population of interest = children between the ages of 5 and 15

Sample = 160 children between the ages of 5 and 15.

B) Yes, the results of the study can be generalized to the population if the sample is randomly selected and represents the entire population.

Yes, the findings can be used to establish causal relationship because the study is just an experiment.

Step-by-step explanation:

A) Population of interest = children between the ages of 5 and 15

Sample = 160 children between the ages of 5 and 15.

B) Sample size is 160 which is above 30.

Thus, we can say;

Yes, the results of the study can be generalized to the population if the sample is randomly selected and represents the entire population.

Yes, the findings can be used to establish causal relationship because the study is just an experiment.

Can anyone please help me with this question?

Answers

Answer:

d

Step-by-step explanation:

What is the total surface area ?

Answers

Answer:

The answer is 126.

Step-by-step explanation:

If you multiply 2*9 first, you get 18. Then multiply 18 by 7. The answer will be 126. I hope this helps.

may someone please help? thank you!

Answers

Answer:

[tex]6\sqrt2\\OR\\8.48528137[/tex]

Step-by-step explanation:

The area of a sector of a circle is found by:

[tex]A = \frac{\theta*r^2}{2}[/tex]

The question asks for the radius so the equation above can be repurposed

[tex]r = \sqrt\frac{2A}{\theta}[/tex]

A = 3pi

angle = pi/12

[tex]\frac{6\pi}{\pi/12} = \frac{72\pi}{\pi} = 72[/tex]

[tex]\sqrt{72} = 6\sqrt2 = 8.48528137[/tex]

Forbes reports that women trust recommendations from Pinterest more than recommendations from any other social network platform (Forbes website, April 10, 2012). But, does trust in Pinterest differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on Pinterest. Women Men Sample 150 170 Trust Recommendations Made on Pinterest 117 102 a. What is the point estimate of the proportion of women who trust recommendations made on Pinterest (to 2 decimals)?

Answers

Answer:

The point estimate of the proportion of women who trust recommendations made on Pinterest is of 0.78.

Step-by-step explanation:

To find the point estimate of the proportion of women who trust recommendations made on Pinterest, we find the sample proportion.

In this question:

150 women

117 trust recommendations made on Pinterest.

Point estimate:

[tex]p = \frac{117}{150} = 0.78[/tex]

The point estimate of the proportion of women who trust recommendations made on Pinterest is of 0.78.

The graph of y = f(x) is shown below. Find all values of x for which f(x) > 0.

Answers

Answer:

from 2 to 6

or x [2,6]

I hope it's right

Please help me ASAP please

Answers

Answer:

217=31m; m=7, 7 miles per day

Step-by-step explanation:

217/31=m 217=31m, just divide the total number of miles by the number of days

Given f(x) = 5x4 – x2 + 6x – 1. What is Limit of f (x) as x approaches negative 1?

–3
–13
–25
–29

Answers

Answer:

-3

Step-by-step explanation:

The limit of the given function f(x) = 5[tex]x^{4}[/tex] – x2 + 6x – 1 approach negative 1 will be -3 so correct option will be (A).

What is limit?

Limit, a nearness in mathematical notion, is largely used to give values to some functions at locations that were usually not given or defined, in a manner consistent with neighboring values.

In another word, limit is a mathematical concept in which we find out the value of any function at a point by its adjacent very close point.

Because the value of that function at that point doesn't define.

For example, limits tend to 0 of sine x, limits tend to infinite of cosx.

Given that the function

5[tex]x^{4}[/tex] – x2 + 6x – 1

Limit is from x is tends to -1

[tex]\lim_{x \to \-1} f(x)[/tex] = 5(-1)⁴ - (-1)² +6(-1) -1

⇒ -3 hence it will be the correct answer.

For more about limits

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Which point is located in Quadrant ll? (-4,5) (-4,-5) (4,-5) (4,5)​

Answers

Answer:

(-4,5)

Step-by-step explanation:

that is the top left quadrant which means the x value has to be negative but the y value has to be positive

GIVING BRAINY AND EXTRA PTS NO LINKS GIVE EVIDENCE

Answers

Answer:

60

Step-by-step explanation:

I think that is the best choice sorry if i got it wrong.

Answer:

60 degrees

Step-by-step explanation:

Angle 1 is already 55 degrees, if you move the y line 5 degrees clockwise then it equals 60 degrees. Angle 1 and 3 are vertical angles so they are equal, if angle 1 is 60 degrees after we move the line then angle 3 is also 60 degrees

I will give extra points please help

Answers

Answer:

z is less than 3/4

Step-by-step explanation:

URGENT (WILL GIVE BRANLIEST) whats 1 + 1?

Answers

Answer:

2

Step-by-step explanation:

1 + 1 = 2

Have a nice day!

and can I maybe have brainliest?

Answer:

1+1=2

Step-by-step explanation:

hold up one finger then add another and it equals two: )

Hope this helps!

Have a great day!

- Hailey

Algebra 2
L.3 Multiply polynomials BGN

Answers

Answer:

x² + 4x

Step-by-step explanation:

Area of the rectangle = length × width

length = x + 4

width = x

Therefore,

Area = x(x + 4)

Area = x*x + x*4

x² + 4x

How many sides does a polygon have if the sum of the interior angles is 3420

Answers

Answer: 21 sides

Step-by-step explanation: (n-2)=3420  you should divide each side by 180

convert 0.5t5kg5hg to kilogram​

Answers

Answer:

505.5kg

Step-by-step explanation:

To convert 0.5t5kg5hg to kilogram​, first we need to convert 0.5t and 0.5hg to kg as shown;

1t = 1000kg

0.5t = 0.5 *1000

0.5t = 500kg

Similarly

1hg = 0.1kg

5hg = 5 * 0.1

5hg = 0.5kg

Adding up;

0.5t5kg5hg = 500kg+5kg+0.5kg

0.5t5kg5hg = 505.5kg

Hence the conversion to kg is 505.5kg

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