Natalie invested $40,000 in an account paying an interest rate of 8 % compounded
continuously. Mackenzie invested $40,000 in an account paying an interest rate of
9 % compounded daily. After 20 years, how much more money would Mackenzie
have in her account than Natalie, to the nearest dollar?
%

Answers

Answer 1

Answer:

8000

Step-by-step explanation:

Natalie

Divide 40k by 2 to get 20k and divide 20k by 5 to get 4k we are at 10%

4k / 5 = 800 that means that every 2% is 800 now we multiply by 4x

To get 8% and we get 3200 and multiply by 20 representing the yrs

3200 x 20 = 64k + 40+ = 104k

Mackenzie

40k divide by 2 to get 50% 40k / 2 = 20k and now we divide by 5 to get 10% 20k / 5 = 4k now we divide by 10 to get the amount of each percents worth 4k / 10 = 400 we multiply by 9 to get the compounded interest

400 x 9 = 3600 multiply by 20 to get the compounded daily investment after 20yrs 3600 x 20 = 72k + 40k = 112k

112k - 104k = 8k


Related Questions

is this right? pls be fast

Answers

Answer:

first 2 I'm not sure about. for the first one I think its 0.5 if that's an option

7) m² - 12m +26=0 find the vertex

Answers

Answer:

(14, -2)

I could totally be wrong though, I haven't done this type of math in years.

7th grade end of year Escape! Please HELPPPPPP! i will give 100 points.

Answers

Count the marbles in the jar:

9 spotted ones

6 purple

10 green

25 total


a) 10/25 = 2/5

B) 19/25

C) 9/25 x 9/25 = 81/625

D) 2/5 x 6/25 = 12/125

E) 6/25 x 19/25 = 114/625

F) 6/25 x 5/24 = 1/20

G) 19/25 x 18/24 = 57/100

H) 6/25 x 14/24 = 7/50

Screenshot of the question attatched. please help me

Answers

Rules of Exponents

There are many rules that apply to operations involving exponents. In this question, we'll need the following:

The division rule⇒ [tex]\dfrac{a^n}{a^m}=a^{n-m}[/tex]

Solving the Question

We're given:

[tex]z^{21}\div z^7=z^k[/tex] (solve for k.)

⇒ Rewrite as a fraction:

[tex]\dfrac{z^{21}}{z^7}=z^k[/tex]

⇒ Use the division rule:

[tex]z^{21-7}=z^k\\z^{14}=z^k\\14=k[/tex]

Therefore, the value of k is 14.

Answer

k = 14

If point A is reflected across both axes, what are the coordinates of the reflected point?

(6, 3)
(-6, 3)
(-6, -3)
(6, -3)

Answers

Answer:

When you are reflecting a point, you are reversing its' axes. In this case, the reflection of (-6,-3) is (6,3).

Step-by-step explanation:

PLEASE MARK BRAINLESS

I Find the missing measurement:
40 mi/1 min = ? mi/1 hr

Answers

Answer:

2400mi/1 hr is the

answer

Answer:

2400 miles / per hour

Step-by-step explanation:

40 mi                     X

______          _______________

1 minute   =      1 hr ( 60 minutes)

multiply 1 minute on bottom by 60 to get 60 minutes

so multiply the top by 60 (always do same to top and bottom)

40 mi. x 60 = 2400 miles

Evaluate the following expression when t=5 when t^2-2t-2

Answers

Answer:

13

Step-by-step explanation:

Evaluate the following expression when

t=5 when t^2-2t-2

replace t with 5 and remember PEMDAS

5² - 2 * 5 - 2 =

25 - 10 - 2 =

13

Answer:

when t=5

5² - 2×5 -2 = 13

hope it's right

Find the value of y, rounded to the nearest tenth

Answers

Answer:

3.9 to nearest tenth.

Step-by-step explanation:

Using the theorem of intersecting chords:

9 * y = 5 * 7

y = 35/9

= 3.888...

Answer: Y = 3.9
(Not Rounded: 3.88)

The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 salaries and find that x bar = $111,000 . Use this information for both parts. Part 1: What is the lower limit of this 95% confidence interval? (Round to the nearest whole number)

Answers

Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The other parameters are given as follows:

[tex]\overline{x} = 111000, \sigma = 36730, n = 36[/tex]

Hence, the lower bound of the interval is:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002[/tex]

The lower limit of the 95% confidence interval is of $99,002.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

The Median of the data set is 18.What number is missing?
12, 17,_, 21, 13,25,

Answers

Answer:

= 15

Step-by-step explanation:

21 + 15 = 36

36/2 = 18

Therefore, 15 is the missing number :33

Answer:

15.

Step-by-step explanation:

There are  6 ( even number) of values in the data so:-

the median is the mean of the 2 middle numbers.

Therefore, we have:

(x + 21)/2 = 18 where x is the missing number.

x + 21 = 2*18

x = 36 - 21 = 15.

A straight line passes through the point (-1,2) and (2,8). Find the equation of the
straight line.

Answers

Answer:

Looking at the question, we are given two points and we need to determine the line that passes through both of these points.  The first step to solving this problem is to find the slope.

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]slope=\frac{8-2}{2-(-1)}[/tex]

[tex]slope=\frac{6}{2+1}[/tex]

[tex]slope=\frac{6}{3}[/tex]

[tex]slope=2[/tex]

Now that we found the slope, we can move onto the next part which is to use the point-slope formula to determine our correct straight line.

[tex](y-y_1)=m(x-x_1)[/tex]

[tex](y-2)=2(x-(-1))[/tex]

[tex]y-2=2(x+1)[/tex]

[tex]y-2=2x + 2[/tex]

[tex]y- 2 + 2=2x + 2 + 2[/tex]

[tex]y=2x + 4[/tex]

Therefore, our straight line that passes through the two points that were provided in the problem is [tex]y=2x + 4[/tex].

Hope this helps!  Let me know if you have any questions

The power, P (watts), of a car engine is proportional to the square of its
speed, s(m/s). When s=25, P=1800. Work out the speed (to 1 DP) when the power is 2000 watts.

Answers

The speed when the power is 2000watts is 22.5m/s

Subject of formula

If the power, P (watts), of a car engine is proportional to the square of its

speed, s(m/s), this is expressed as:

P = k/s

When s=25, P=1800 then;

1800 = k/25
k = 25 * 1800
k = 4500

In order to calculate the speed when the power is 2000;

s = k/p
s= 4500/2000
s = 22.5m/s

Hence the speed when the power is 2000watts is 22.5 m/s

Learn more on inverse here: https://brainly.com/question/3831584

#SPJ1

Are EFG and HIJ similar

Answers

Yes, AAA criteria. The corresponding angles are congruent

Answer:

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

Hope it helps, have a fantastic day.

Step-by-step explanation:

We all know from geometry that all the angles of a triangle add up to 180 degrees.

We can form the following equation:

[tex]100 + 35 + E = 180[/tex]

[tex]E[/tex] here represents the measure of angle E.

Add together like terms:

[tex]135 +E = 180[/tex]

Then subtract 135 from both sides:

[tex]E = 45[/tex]

We can, likewise, form another equation for angle J :

[tex]100 + 45 + J = 180[/tex]

Add together like terms:

[tex]145 +J = 180[/tex]

Then subtract 145 from both sides:

[tex]J = 35[/tex]

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

Answer ! And you’ll earn point haha

Answers

Answer: I agree with Marco because he took the least value in the growth of the plant(2) and the greatest value in the growth of the plant 3 1/2 and just subtracted them to get 1 1/2.

Step-by-step explanation:

It's like finding the range.

least is 2 greatest is 3 1/2

3 1/2 - 2= 1 1/2

which of the following would be considered a statistical question

1. who was the highest paid athlete in 2020?
2. how much does a gallon of gasoline cost?
3. how many people voted for president in 2016?
4. what are the different types of maple trees?​

Answers

i think question 3 is the answer!!!

1. Why is it important to separate experimental groups by a random process?

2. Why is it important to select samples from a population using random selection?

Answers

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

What is randomization?

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

If a crop at a certain time of year, for example in summer, is affected by a certain fungus, to know if it is really the time of year that affects this problem, random samples of the same crop with the same characteristics and put it to the test at another time of the year to see if the weather is really a risk factor in the spread of this fungus.

To know more about randomization follow

https://brainly.com/question/13219833

#SPJ1

Solve the equation. Need HELP!!!

Answers

Answer:

[tex]m = 0.664[/tex]

Step-by-step explanation:

We were given the equation: [tex]2.1 + 10m = 8.74[/tex]and we were asked to solve for m. Therefore we have to ensure m the subject of the formula.

[tex]2.1 (-2.1) + 10m = 8.74 (-2.1) \\ \\ 10m = 8.74 - 2.1 \\ \\ 10m = 6.64 \\ \\ \frac{10}{10} m = \frac{6.64}{10} \\ \\m = 0.664[/tex]

Answer: Heyaa! :D

Your Answer Is... m= 0.664

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hopefully this helps you!

-Matthew (HAVE AN AMAZING DAY)

Please solve with explanation (high points)

Answers

Answer:

8.1.  h = 17.743514416718 m 8.2. Area of ABCD = 112.912444233369 cm²

Step-by-step explanation:

Q8.

Let h be the height of the flagpole

     x be the distance between point P and the flagpole.

8.1.

tan(53) = h/x

⇒ h = xtan(53)   (1)

On the other hand ,

tan(28) = h/(x+20)

⇒ h = (x+20)tan(28)   (2)

Let’s equate equation so (1) and (2) :

⇒ xtan(53) = (x+20)tan(28)

⇒ x = 20tan(28) ÷ (tan(53) - tan(28)) = 13.370697151775

from (1) , we have :

h = xtan(53)

  = 13.370697151775×tan(53)

  = 17.743514416718

8.2.

Area ABCD = area ABD + area BCD

area ABD = (1/2) AB AD sin(BAD)

                = (1÷2)×11×7×sin(110)

                =36.178165900258

area BCD =  (1/2) DB DC sin(BDC)

firsly , we need to calculate DB (using the law of cosines I need triangle ABD) :

DB² = AB² + AD² - 2AB AD cos(110)

      = 11^2+7^2-2×11×7×cos(110)

      = 222.671102072153

Then

DB = √(222,671102072153)

     = 14.92216814247

Going back ,

area BCD =  (1/2) DB DC sin(BDC)

                = (1÷2)× (14,92216814247)×16×sin(40)

                =76.734278333111

Conclusion :

Area ABCD = area ABD + area BCD

                   = 36.178165900258+ 76.734278333111

                   = 112.912444233369

What is the volume of the right triangular prism in cubic meters?

Answers

Answer:

915.78cm

Step-by-step explanation:

you do AxBxCxH

a base side

b base side

c base side

height

all multiplied by each other

hope its correct good luck!

A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a 4 topping sandwich

Answers

Answer: 4 ways because 4 times four is 18

Step-by-step explanation:

Answer: 7315 (i think this is right)

What is the area of the triangle in the coordinate plane?


36 units²

38 units²

66 units²

72 units²

Answers

Answer:

36 units

Step-by-step explanation:

area of right angle triangle =1/2* b*h.

by counting the square,b=8 units and h=9 units

therefore,area 1/2* 8units * 9units

1/2*72units^2

36units^3

Need urgent help! Right answer

Answers

Answer:

2,772 m^2

Step-by-step explanation:

First you would need to convert the cm to m before multiplying L times W in order to get the area. 28 x 3 is 84 and 11 x 3 is 33. Then you would multiply 84 x 33 in order to get 2,772.

Find the measure of angle k

Answers

Answer:

30

Step-by-step explanation:

Answer: 30 Degrees

Step-by-Step Explanation:

As we know, a line is 180 degrees.

Hence, 65 + 85 + k = 180
= 65 + k = 180 - 85 = 95
=> k = 95 - 65 = 30

Therefore, k = 30

50 POINTS PLEASE HELP QUICK
The graph of f(x) = (0.5)^x is replaced by the graph of g(x) = (0.5)^x − k. If g(x) is obtained by shifting f(x) down by 2 units, then what is the value of k?
k = 2
k equals one half
k = −2
k equals negative one half

Answers

Answer: 2

Step-by-step explanation:

See attached image

john decides to buy a new laptop computer. it is on sale for 20% off and he has a coupon for 15% off the sale price. if sales tax is 6%, how much will john pay

Answers

The price that John would pay for the new laptop after accounting for the sales, price coupon and the sales tax is  0.72p.

What is the price John would pay?

After the sales price and coupon is applied, the price of the laptop would reduce.

Price after the sales price = (1 - 0.2) x p = 0.8p

Price after the coupon = (1 - 0.15) x 0.8p

0.85 x 0.8p = 0.68p

A tax increases the price of the laptop.

Price after the tax = (1 + 0.06) x 0.68p = 1.06 x 0.68p = 0.72p

To learn more about taxes, please check: https://brainly.com/question/25311567

#SPJ1

24. Why are alkylating agents not used as antiseptics?

Answers

Answer:

Because alkylating agents effectively sterilize materials at low temperatures but are carcinogenic and may also irritate tissue.

Step-by-step explanation:

х у
0 -11
1 -8
2 -5
3 -2

The table above represents what type of function?
A. linear

В. linear and nonlinear

C. neither linear nor nonlinear

D. nonlinear

Answers

Answer:

A. Linear

Step-by-step explanation:

As the x value goes up by 1, the y value goes up by 3 each time

Matthew had to make a bridge for his math class. It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 times as long as Matthew’s. What equation would you use to find out how long Harold’s bridge is? please help

Answers

The equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and  Length will be H = [tex]\dfrac{7}{2}[/tex]

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Here we have the following data:-

Matthew's bridge length is  [tex]=1\dfrac{1}{2}=\dfrac{3}{2}[/tex]

Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-

[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}=0\\\\\\3H-7M=0\\\\\\3H-\dfrac{(7\times 3)}{2}=0\\\\\\H=\dfrac{7}{2}[/tex]

Hence the equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and  Length will be H = [tex]\dfrac{7}{2}[/tex]

To know more about equations follow

https://brainly.com/question/2972832

#SPJ1

The two formats used in an observation checklist are:
A. Video recording and audio recording
B. Performance profiles and Tallies
C. Tallies and video recording
D. Performance profiles and SMART Targets

Answers

Answer:

The two formats used in an observation checklist are:

A. Video recording and audio recording

B. Performance profiles and Tallies

C. Tallies and video recording

D. Performance profiles and SMART Targets

#CarryOnLearning

(x - 2)² + (y +13)2 = 150
Center:
Radius:

Answers

Answer:

See below

Step-by-step explanation:

Standard form of  h,k centered circle

(x-h)^2 + (y-k)^2 = r^2

for this circle center, h,k = 2,-13    radius = sqrt (150)= 5 sqrt 6

Answer:

Center: (2,-13)

Radius: 12.14744871

Step-by-step explanation:

Other Questions
What action should you take if you become aware that sensitive compartmented information has been compromised The length of time it takes a worker to assemble a large product is assumed to be normally distributed. a random sample of 25 workers a were selected, and their times to assemble the product were recorded. the mean and variance for this sample were 3 and 0.5 hours, respectively. the 90 percent confidence interval for the mean length of time (in hours) it takes a worker to assemble the product _____ hours to ______ hours The point P = (-15/4, y) lies on the unit circle shown below. What is the value ofy in simplest form? Me gusta ir al museo que est en la esquina de la calle.the cornerto the rightthe streetnear Stacy made the following table to compare the functions of plant and animal structures, but she is missing a row title. Which of the following would best replace the X?a table comparing the functions of different animal and plant structures. There is an unknown 'X' in the table. The skeleton in animals and the stem in plants provide support. The fur in animals and the waxy covering in plants provide protection. The ovaries in animals and the pistil in plants make 'X' Transforme en pregunta cada oracin, de acuerdo a las dos maneras que se presentan en la leccin (intonation montante et "est-ce que") Louisas savings change by -$6 each time she goes bowling. In all, it changed by -$66 during the summer. How many times did she go bowling in the summer?**Just write the number *Pls help me!!!*What resources do scientist use to predict when and where future natural hazards may occur? A need is something that you:OA. will help you attain a goal.OB. will make you happier.OC. use to do your job.O D. can't survive without. Infants gaining control of their torso before gaining control of their arms and legs is known as the cephalocaudal trend. please select the best answer from the choices provided t f Let each shake of the pennies or thumbtacks represent 1 year. what is the half life, in years, for the pennies in experiment 1? what is the half-life, in years, for the thumbtacks in experiment 2?(5.4.3 lab - nuclear physics) Hi so for fun and I'm b0red what is the true meaning of drumming to you How do many Chinese people today view the early days of the revolution? 2. Write the equation for photosynthesis here:(d) State the end products of photosynthesis: Salt March was an effective symbol of resistance against colonialism.Explain. PLS HELP1. Briefly describe mass society and explain how it affected the economy and leisure activities.2. At the end of the nineteenth century, many people appeared confident and prosperous, but others had doubts. Write a paragraph describing the two points of view. Who was feeling confident in how things were going? What was causing this confidence? People in which professions were sensing doubts? How did their work change our understanding of human nature and our concepts of art and music?3. Describe how the living and working conditions in most cities changed between 1800 and 1900. Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Oliver spent 4 and one-fourth hours on his project. If k represents the amount of time that it took Karissa to complete her project, which inequality can be used to represent the situation?4 and one-fourth less-than 2 k4 and one-fourth less-than-or-equal-to 2 k4 and one-fourth greater-than 2 k4 and one-fourth greater-than-or-equal-to 2 k What is the area of this rectangle?18 m9 m14 sq m16 sq m I need help with my home work please timmy see fishes in the aquarium YesterdayExplain the grammar errors in the sentence above. Be sure to include specific details