Henry is going to invest in an account paying an interest rate of 4.3% compounded
continuously. How much would Henry need to invest, to the nearest dollar, for the
value of the account to reach $820 in 13 years?

Answers

Answer 1

Answer:

63.0769230769

Step-by-step explanation:

Answer 2

Answer:

469 this was correct on Delta Math!!!

Step-by-step explanation:


Related Questions

The amount of money in a savings account is shown as a function of the number of days spent shopping. After 3 days of shopping how much money is left in the savings account.

A. 80$
B. 70$
C. 90$
D. None of the above ​

Answers

anwser is a

Step-by-step explanation:

Customer Money Spent (in dollars) 1 $13 2 $46 3 $13 4 $87 5 $10 6 $5 7 $8 8 $16 9 $33 10 $57 A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion A) is valid. The last 10 customers only bought sale items. B) is correct. This is the average amount spent by any customer. C) is invalid. This is not a good representation of all customers. Eliminate D) is unfair. The last ten people in the store may have been tired.

Answers

Answer:

Step-by-step explanation:

i think the anwer is c

the value of x varies directly with y and inversely with z. when x=4,and y=12, z=6. what is the value of k?
A. K=6
B. K=2
C. K=18
D. K=288

Answers

Answer:

B

Step-by-step explanation:

Given x varies directly with y and inversely with z then the equation relating them is

x = [tex]\frac{ky}{z}[/tex] ← k is the constant of variation

To find k use the condition when x = 4 and y = 12, z = 6 , then

4 = [tex]\frac{12k}{6}[/tex] ( multiply both sides by 6 )

24 = 12k ( divide both sides by 12 )

2 = k → B

The value of the constant 'k' will be 2. Then the correct option is C.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The value of x varies directly with y and inversely with z. Then the proportionality is written as,

x ∝ y                 ...1

x ∝ 1 / z            ...2

Then the combined proportionality is given as,

x ∝ y / z

x = ky / z

At x = 4, y = 12, and z = 6, then the value of the constant 'k' will be given as,

4 = 12k / 6

Simplify the equation, then the value of the constant 'k' is calculated as,

4 = 12k / 6

4 = 2k

k = 4 / 2

k = 2

The worth of the steady 'k' will be 2. Then, at that point, the right choice is C.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

name three solutions of the inequality of z < 4

Answers

the answer is: 1,2,3

the inequality represents less than, meaning the value of z is less than 4

which leaves us with 3 numbers, 1, 2 and 3

1,2,3 pretty sure that’s the answer

LMN is a right-angle triangle. Angle NLM=90. PQ is parallel to LM. The area of triangle PNQ is 8cm^2. The area of triangle LPQ is 16cm^2. Work out the area of triangle

Answers

Answer:

The area of LQM is [tex]48cm^2[/tex]

Step-by-step explanation:

Given

Area of PNQ = 8

Area of LPQ = 16

See attachment for triangles

The area of PNQ is calculated as:

[tex]Area = \frac{1}{2} * PQ * PN[/tex]

Substitute 8 for Area

[tex]8 = \frac{1}{2} * PQ * PN[/tex]

[tex]PQ * PN = 16[/tex]

The area of LPQ is calculated as:

[tex]Area = \frac{1}{2} * PQ * LP[/tex]

Substitute 16 for Area

[tex]16= \frac{1}{2} * PQ * LP[/tex]

From the attachment:

[tex]PN + LP =LN[/tex]

Make LP the subject

[tex]LP = LN -PN[/tex]

So:

[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex]

We have:

[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex] and [tex]PQ * PN = 16[/tex]

Equate both expressions:

[tex]\frac{1}{2} * PQ *(LN - PN) = PQ * PN[/tex]

Divide both sides by PQ

[tex]\frac{1}{2} (LN - PN) = PN[/tex]

Multiply both sides by 2

[tex]LN - PN = 2PN[/tex]

[tex]LN= 3PN[/tex]

Since PNQ is similar to LNM, the following equivalent ratios exist:

[tex]\frac{LM}{PQ} = \frac{LN}{PN}[/tex]

Substitute [tex]LN= 3PN[/tex]

[tex]\frac{LM}{PQ} = \frac{3PN}{PN}[/tex]

[tex]\frac{LM}{PQ} = 3[/tex]

[tex]LM = 3PQ[/tex]

Area of LQM is:

[tex]Area = \frac{1}{2} * LM * LP[/tex]

This gives:

[tex]Area = \frac{1}{2} * 3PQ * LP[/tex]

[tex]Area = 3 *\frac{1}{2} *PQ * LP[/tex]

Recall that:

[tex]16= \frac{1}{2} * PQ * LP[/tex]

So:

[tex]Area = 3 *16[/tex]

[tex]Area = 48cm^2[/tex]

9+10=?
A. 5
B. 14
C. 21
D. 19
Please help

Answers

Answer:

19

Step-by-step explanation:

is this a joke?

Option D. [tex]19.[/tex]

Step-by-step explanation:

[tex]10 + 9 = 19.[/tex]

Help asap! I really need some help here!!!

Answers

Answer: 9 ft2

Step-by-step explanation:

i took that test yesterday

Dr. Porterfield a financial counselor guru informed Mr. Halpayne he needs $2,000,000 saved if he intends to retire with his wives (7 of them) and not be homeless in future. Calculate the present value Mr. Halpayne needs if he intends to retire in 20 years provided he invests in a financial plan that pays 5% interest compunded monthly.

Answers

9514 1404 393

Answer:

  $737,289

Step-by-step explanation:

The future value of an investment P invested at rate r per year compounded monthly for t years is ...

  FV = P(1 +r/12)^(12·t)

We want to find P for the given future value, so we can solve for that:

  P = FV/(1 +r/12)^(12·t) = FV(1 +r/12)^(-12·t)

  P = $2,000,000(1 +.05/12)^(-240) = $737,289

Mr. Halpayne needs a present value of $737,289 to support his retirement.

Factor by using the distributive property: 8x - 4y + 20.
a.2(4x - 2y + 10)

b.8(x - y + 12)

c.4xy(2x - 2y + 5)

d.4(2x - y + 5)

Answers

D since if you just use the prophet

86% of a university's freshman class are majoring in Computer Science. If 8514 students in the freshman class are Computer Science majors, how many students are in the freshman class?

Answers

Answer:

9900 Students

Step-by-step explanation:

Divide 8513 by .86 to show the rest of the freshman class.

You can check by doing 9900 times .86 to see %86 of 9900

Total there are 9900 students are in the freshman class.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, 86% of a university's freshman class are majoring in Computer Science.

8514 students in the freshman class are Computer Science majors.

Let the number of students are in the freshman class be x.

Here, 86% of x=8514

86/100 ×x=8514

86x=851400

x=851400/86

x=9900

Therefore, total there are 9900 students are in the freshman class.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ6

find the solution of given expression

[tex] \sqrt{365 \times 365} [/tex]

Answers

Answer:

√(365×365)=√365²=±365

A doctor took a random sample of n=6n=6n, equals, 6 patients to see how long they each spent in the waiting room. She wants to construct a ttt interval for the mean waiting time with 99\%99%99, percent confidence. The times in the sample were roughly symmetric with a mean of \bar x=8.5 x ˉ =8.5x, with, \bar, on top, equals, 8, point, 5 minutes and a standard deviation of s_x=2.8s x ​ =2.8s, start subscript, x, end subscript, equals, 2, point, 8 minutes. What critical value t^*t ∗ t, start superscript, times, end superscript should she use? Choose 1 answer:

Answers

Answer:

4.032

Step-by-step explanation

Khan Academy

To find the critical value t^*t ∗t, start superscript, times, end superscript for a t-interval with 99% confidence and n=6, we need to use a t-distribution with degrees of freedom df=n−1=6−1=5.

What is t-distribution table?

A t-distribution table is a table that lists critical values for the t-distribution.

The t-distribution is a probability distribution that is used in hypothesis testing when the sample size is small or when the population standard deviation is unknown. The table lists critical values for various levels of significance and degrees of freedom.

Using a t-distribution table or calculator with 5 degrees of freedom and a 99% confidence level, we find the critical value t^*t ∗t to be approximately 4.032.

Therefore, the doctor should use t^*t ∗t = 4.032 for constructing the t-interval for the mean waiting time.

Learn more about t-distribution at:

https://brainly.com/question/13574945

#SPJ3

The rectangular floor of a classroom is 20 feet in length and 32 feet in width. A scale
drawing of the floor has a length of 5 inches. What is the area, in square inches, of the
floor in the scale drawing?

i cant find the answer anywhere else lol

Answers

25.6 square inches

20 divided by 5 is 4

32 divied by 5 is 6.4

Multiply them and get 25.6

i need help fast!! and i’m almost failing

Answers

Answer:

well I would love to help-where is the pic...?

Can someone please help me with this math question

Answers

Answer:

The answer would be D

Step-by-step explanation:

Most of the points are grouped together and can be define by a line or equation so there is a correlation between the outside temperatures and the heating cost so right away we can eliminate option A

There is no such thing as a constant correlation so we can eliminate answer choice C

As the temperatures rise ( or as the x values rise) the cost of heating decreases ( or the y values decrease) This is an example of negative correlation correlation because as one value increase the other value decreases.

this is also notable from looking at the graph .

Paul is buying packages of hot dogs for a camping trip. Each package is 30 oz. If he buys 4 packages, about how many pounds of hot dogs is he buying?
480 pounds
4 pounds
8 pounds
10 pounds

Answers

Answer:

8 pounds

Step-by-step explanation:

30 x 4 / 16 = 7.5  but abt 8

Answer:

8 pounds

Step-by-step explanation:

30 ounces = 1.875 pounds

1.875 * 4 = 7.5 rounded up = 8

If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?​

Answers

Answer:

[tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]

Step-by-step explanation:

Multiply both sides: by x+c

a(x+c)=[tex]\frac{b-2x}{x+c}[/tex] (x+c)

Simplify: a(x+c)=b-2x

Expand: ax+ac=b-2x

Subtract ac from both sides: ax+ac-ac=b-2x-ac

Simplify: ax=b-2x-ac

Add 2x to both sides: ax+2x=b-2x-ac+2x

Simplify: ax+2x=b-ac

Factor ax+2x: x(a+2)

x(a+2)=b-ac

Divide both sides by a+2: [tex]\frac{x(a+2)}{a+2}[/tex] = [tex]\frac{b}{a+2}[/tex] - [tex]\frac{ac}{a+2}[/tex] ; a≠-2

Simplify: [tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]

Please help
-2x = x - 15

Answers

-2x-x=x-x-15 (subtract x on both sides)
-3x=-15
x=5

Hope this helps!! :)

Answer: x=5

Step-by-step explanation:

subtract x from both sides

-2x-x=x-15-x

-3x=15

then divide both sides by -3

-3x=-15

-3x   -3

x=5

hope this helps! please mark as brainliest! Thanks

1) how many 1/4's are in 2/3?
2) how many 5/12's are in 1/2?​

Answers

Answer:

1) how many 1/4's are in 2/3 = 8/3

2) how many 5/12's are in 1/2?=6/5

Step-by-step explanation:

Solve for the variable x.
X=25
X=10
X=-25
X=11.66667

Answers

Answer:

Its 10 I think i could be wrong.

Step-by-step explanation:

Using the digits 1, 3, 5, 7 at most once, you can make many three-digit numbers. What is the maximum possible sum of two such distinct numbers?

Answers

Answer:

1504

Step-by-step explanation:

Given the digits :

1, 3, 5, 7

The maximum possible sum of two distinct three digit numbers formed from the digits above will be the sum of the the two hight possible three digit numbers that can be formed.

Highest three digit number = 753

Next highest = 751

The sum of these two. Values gives :

753 + 751 = 1504

what is the mean, median, mode and range of 7, 2, 1, 4, 1 (PLS DO NOT PUT ANY LINKS I AM USING THIS APP FOR HELP NOT FOR SCAM LINKS)

Answers

Answer:

Mean: 3

Median: 2

Mode: 1

Range: 6

Step-by-step explanation:

1.) The mean is the average of all the numbers. To find it, you add up all the numbers and then divide that by the amount of numbers. So, you would do:   7 + 2 + 1 + 4 + 1 = 15

15 ÷ 5 = 3

The mean is 3.

2.) The median is the middle number. In order to find it, you must put all the numbers in order:

1, 1, 2, 4, 7

The middle number is 2, so the median is 2.

3.) Mode is the number that appears the most often. Because 1 appears twice and the rest only appear once, the mode is 1.

4.) The range is the difference between the biggest and smallest numbers. Since 7 is the biggest number and 1 is the smallest, you would subtract them. 7-1 is 6, so the range would be 6.

An 8-foot roll of wrapping paper costs $9.60. What is the price per inch?An 8-foot roll of wrapping paper costs $9.60. What is the price per inch?An 8-foot roll of wrapping paper costs $9.60. What is the price per inch?

Answers

Answer:

$0.10

Step-by-step explanation:

STEPS TO ANSWERING THIS QUESTION

Convert the size of the wrapping paper to inches divide the total cost of the wrapping paper by the converted size

1 ft = 12 inches

8 feet = 8 x 12 = 96 inches

price per inch = total length of the wrapping paper in inches / total cost of the wrapping paper

$9.60 / 96 = $0.10

i need HELP !!!!!!!!!!!!!!!!

Answers

Answer:

I think the solution is (p,q)=(-2,-5)

Convert the mixed number into an improper fraction: 3 2/9​

Answers

improper fraction: 29/9
29/9

First, multiply the whole number (which is 3 in this case) and multiply it by the denominator (which is 9)
3 x 9 = 27

Second, add the numerator (which is 2) to the answer of the above
27 + 2 = 29

Third, place the answer over 9

29/9

What's the product of 3 2/3 and 14 2/5 ?
A. 52 4/5
B. 52 4/15
C. 54
D. 42 4/5

Answers

Answer:

52 4/5

Have a nice day! :)

The money used in Tajikistan is called the Somoni. The exchange rate is $7 = 22 Somoni. Find how many dollars you would receive if you exchanged 66 Somoni.

A: $207.43
B: $21
C: $16
D: $18

Answers

Answer:

B: $21

Step-by-step explanation:

it’s 21$ because 66/22 = 3
and 7 x 3 = 21

Solve the system of equations below by graphing each line on the coordinate plane provided. Then place a point where the solution of the system occurs. 3x + 2y = 8 x + 2y = 4​

Answers

Point Form:
(2,1)
Equation Form:
x=2 y=1


The area of a rectangle is x^2-4/2x in.^2 and its length is (x+2)^2/2 in. What is the width in inches?

A. x(x+2)/x-2
B. x+2/x(x+2)
C. x-2/x(x-2)
D. x-2/x(x+2)

Answers

Is b I’m sure check

Simplify the expression: ∣∣112 − 56∣∣ − (25 + 110)

Answers

The answer should be -79

Given that,

The equation is  ∣∣112 − 56∣∣ − (25 + 110).

Based on the above information, the calculation is as follows:

= (112 - 56) - (25 + 110)

= 56  -135

= -79

Learn more: brainly.com/question/17429689

Answer:

1/4

Step-by-step explanation:

I got it right

Other Questions
1. Why did southerners want slavery to expand westward? 1.draw a scatter plot that shows a positive, linear association and has one clear outlier. Circle the outlier2.Draw a scatter plot that shows a negative association that is not linear.PLS HURRY WILL GIVE BRAINLEST 1. Compute the percent of Mikki's Mathematics score. That is compute P X( 5 60).Circle your answer below(a) P X( I am for the "immediate, unconditional, and universal" enfranchisement of the black man, in every State in the Union. [Loud applause.] Without this, his liberty is a mockery; without this, you might as well almost retain the old name of slavery for his condition; for in fact, if he is not the slave of the individual master, he is the slave of society, and holds his liberty as a privilege, not as a right. He is at the mercy of the mob, and has no means of protecting himself.How does the repetition of the phrase without this support the paragraphs argument?It reinforces the idea that without equality in the US, the idea of a free society is a joke.It suggests that a free society is possible, with or without equal rights for all people.It indicates that Douglass would be content without material possessions or status.It proposes that slavery will not be abolished in the US without the support of all citizens. People should be more concerned about the global water budget than the local water budget.TrueOr false Mr. SmithMs. Brown could chaperone the dance. what part of the food chain is a mink a: secondary consumerb: primary consumerc:prouducerd:herbivore i will give brainliest help please! Use the area to find the value of x: find the solution of given expression[tex] \sqrt{587 \times 587} [/tex] how do I write the equation of the parabola in intercept form Jina is pumping water into a tank at a rate of 15 liters per minute. Since she started pumping water, 13 liters has splashed out of the tank. Her goal is given by15x-13 < 77, where x is the number of minutes she pumps water into the tank.First, solve the given inequality and graph the solution on the number line below.Then, choose and complete the statement that best describes the solution 3. What were the goals of the 14th Amendment? What rights did it seek to provide? como es tu relacin con la sagrada eucaristica What populations of non-Americans were left in thenew territory acquired by the U.S.? What happenedto them? ( 16.9 - 5.47 ) x 7.09 plzz i want with full solution ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND HEART!Please answer the following essay question:James Madison said that "no Constitution would ever have been adopted by the Convention if the debates had been made public." Do you agree or disagree? Explain.Your answer should be at least 5-7 sentences in length. I NEED this TODAY by 11:59 PM EST. Yes, this is ACTUALLY FOR HOMEWORK. NO LINKS OR YOU WILL BE REPORTED. Please put real answers! Thank you!A conflict, a battle, a fight, an argument- call it what you want, but it all means pretty much the same thing.In the story you watched, "The Miracle Worker"; there were MANY examples of character conflicts- some of those conflicts were between the person and themselves and some were between characters.Below- there are 3 examples of conflicts that happened in the story. Pick 2 examples and write a paragraph FOR EACH showing examples of that conflict AND how it was solved.Conflict # 1- Helen vs. HelenConflict # 2- Anne vs. Keller familyConflict # 3- Anne vs. Helen round 38.68 to the nearest hundred What is the Value of 9 in 91486?