$600 invested at 6% compounded annually for six years

Answers

Answer 1

Answer:

The final balance is $851.11.

The total compound interest is $251.11.

Step-by-step explanation:


Related Questions

WHOEVER ANSWERS CORRECT AND FIRST WILL GET BRAINLIEST! How long does it take an elevator to go from the ground floor to the observation deck at a height of 869 feet?

Answers

so for a height of 869 feet the time will be 21.725s

[tex]1s = 40ft \\ x = 869ft \\ x= \frac{869}{40} \\ x = 21.725ft[/tex]

A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 12 ft shorter than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 6 ft less than the length of the ladder? C The top of the ladder is ___ ft up the side of the building?

Answers

Answer:

The answer for this question is 2 ft

Step-by-step explanation:

12ft÷6ft=2

5 questions! Math, answer by saying "question __ is ____ " thank you! picture included! 50 points!

Answers

Answer:

1.c

2.a

3.d

4.b

5.b

Step-by-step explanation:

I found the answers on a web site.

Answer:

1.A

2.D

3.C

4.B

5.A

Step-by-step explanation:

In analysis of variance, then the term factor refers to_______
a) a dependent variable
b) a treatment total
c) an independent variable (or quasi-independent) variable
d) a treatment mean

Answers

C an independent variable

What is the 6th term in this sequence? 1, 3, 9, 27, . . .

Answers

Answer:

a₆ = 243

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

3 ÷ 1 = 9 ÷ 3 = 27 ÷ 9 = 3

this indicates the sequence is geometric with nth term

[tex]a_{n}[/tex] = a₁ × [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 1 and r = 3 , then

a₆ = 1 × [tex]3^{5}[/tex] = 243

Answer:

243

Solution:We have a geometric sequence here, meaning that we use multiplication/division in order to get to the next term.In this case, we multiply each term by 3.1 times 3 is 3, 3 times 3 is 9, 9 times 3 is 27...In order to find the sixth term, we should take the fifth term and multiply it by 3.In order to find the fifth term, we need to take the fourth term and multiply it by 3.Multiply:81So the fifth term of this sequence is 81.Now, multiply 81 times 3:243Therefore, the sixth term in this sequence is equal to 243.

Hope it helps.

Do comment if you have any query.

What's the median for 0 2 4 6 8 10

Answers

Answer:

5 would be the midian

Step-by-step explanation:

You would need to add 0+2+4+6+8+10

Then count how many numbers there are (6)

Then put it in a fraction

30/6

Then divide and then you get 5

Answer:

21,67

Step-by-step explanation:

0+2+4+6+8+10 all divided by numbers in the set data[6]=21,67

For problems 11-14, identify the property shown. 11. 16×p=16.​

Answers

Answer:

Step-by-step explanation:

11. identity property

12. associative property

13. commutative property

14. zero property

I SUCK AT MATH PLS HELP

WORTH 1 POINT

GIVING 10

Answers

Answer:

34 degrees

Step-by-step explanation:

Assuming that ADJ is a right angle, we can add 4x and 3x-8 and set equal to 90 degrees to simply to get get x.

7x-8=90

Add 8

7x = 98

 x= 14

Now that we know x, we can plug in the value to find angle CDJ.

3x-8

3(14)-8

34 degrees

Which of the equations below is a line parallel to the line y = 5x - 2?

Answers

Answer:

An unlimited number of lines are parallel to the line described by y = 5x + 2. The requirement is that it is in the form y = 5x + b, b ≠ 2.

Step-by-step explanation:

In a​ lottery, the top cash prize was ​$657 ​million, going to three lucky winners. Players pick five different numbers from 1 to 53 and one number from 1 to 43.
A player wins a minimum award of $200 by correctly matching four numbers drawn from the white balls​ (1 through 53​) and matching the number on the gold ball​ (1 through 43​). What is the probability of winning the minimum​ award?

Answers

Answer:

1 chance in 123,396,455

Step-by-step explanation:

Number of permutations of 5 out of the 53 = 53*52*51*50*49 = 344362200

Number of permutations of 4 out of these 5 correct = 120

So number permuations for first 53  = 344362200/ 120 = 2869685

So for minimum prize there are 2869685 * 43 = 123396455 perms.

please show me how you also got the answer as well, thanks a bunch!!​

Answers

Answer:

Step-by-step explanation:

For this question, I solve Q.1, but I cannot solve Q2.

Q1. Suppose that the balance of a person’s bank account in Superior, WI is normally distributed with mean $580 and standard deviation $125. Find the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents.

Q2. For the same setup as in Problem 2, find the probability a random person from
Superior has less than $400 or more than $1000 in their bank account.

Answers

The amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

How to get the z scores?

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p-value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

Let we take:

X = The balance of a person’s bank account in Superior, WI

Then, by the given data, we have:

[tex]X \sim N(\mu = 580, \sigma = 125)[/tex]

Let the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents be X = x dollars. This is the money, below which lie 80% of Superior, WI residents, and so as their income, or values of X.

Symbolically, we have:

[tex]P(X < x) = 80\% = 0.8[/tex]

Converting X to standard normal variate Z, we have:

[tex]Z = \dfrac{X - \mu}{\sigma} = \dfrac{X - 580}{125}\\[/tex]

Thus, the probability statement can be rewritten as:

[tex]P(X < x) =0.8\\P\left( Z < z = \dfrac{x -580}{125} \right) = 0.8[/tex]

From the z-tables, the value of Z for which the p-value comes out as between 0.84 and 0.85, let it be their average 0.845.

Thus, we get:

[tex]P(Z < z = 0.845) \approx 0.8[/tex]

Thus, we get:

[tex]z = \dfrac{x - 580}{125} \approx 0.8\\\\x \approx 0.8 \times 125 + 580 = 680[/tex]

Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx.

Now, for second question, we need:

The probability a random person from Superior has less than $400 or more than $1000 in their bank account.

So, income of a random person from Superior is a random value of X.

So, this probability is written as:

[tex]P(400 < X < 1000)[/tex]

Rewritting it, we get:

[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)[/tex]

Converting X to Z (standard normal variate), we get:

[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)\\\\P(400 < X < 1000) = P\left(Z < \dfrac{1000-580}{125} \right) - P\left(Z \leq \dfrac{400-580}{125} \right)\\\\P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)[/tex]

The p-value for Z = 3.36 is 0.9996

The p-value for Z = -1.44 is 0.0749

Thus, we get:

[tex]P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)\\\\P(400 < X < 1000) = 0.9996 - 0.0749 = 0.9247[/tex]

Thus, the probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

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#SPJ1

*50 POINTS* Pls HELP. ANSWER THE QUESTION IN THE PIC!

Answers

Answer:

D

Step-by-step explanation:

Here's why I think it's D.

y = x + 44 is the equation the car wash owner uses

x represents the number of days

y represents the number of cars (washed)

so if we plug in one of the given numbers (from the chart)

example:

Day 2 Numbers of Cars Washed 44

2 will represent the "number of days" also known as x

44 will represent the "number of cars" also known as y

so if we plug in those values to the equation the car wash owner uses

y = x + 44, it doesn't match

__________________________________

(44) = 2 + (44)

44 [tex]\neq[/tex] 46

Therefore, I believe the answer is D

Answer:

D

Step-by-step explanation:

It is not a good fit for the dataThere should equal number of points below and above the x-axis in the residual plotThe given equation : y = x + 44 does not match the given data

f(X)= _3 x²_7x_9

f(_5) +f(2)=

Answers

Answer:

Step-by-step explanation:

[tex]-3x^2-7x-9=F(x)[/tex]

[tex]F(-5)=-75+40-9=-49[/tex]

[tex]F(2)=-12-14-9=-35[/tex]

[tex]f(-5)+f(2)=-49-35=-84[/tex]

The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written is all I haven’t figured out

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex] \qquad \sf  \dashrightarrow \:y = a \sin(bx) + k[/tex]

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]

The Jones' old $47,000, 30 year, 12.8% mortgage has a monthly payment of $512.58. Over the 6 years since they took the loan, mortgage rates dropped. They can now apply for a mortgage at 9.05%, which will result in a new monthly payment of $369.36. To refinance, they must pay $1,020 in closing costs and a $480 prepayment penalty. Find the net amount they will save in the first year.

Answers

The net amount that will be saved by the Jones for the first year will be $814.32.

How to calculate the net amount?

From the information given, the old mortgage yearly payment will be:

= Monthly payment × Months

= $259.32 × 12

= $3111.84

The new monthly yearly payment will be:

= Monthly payment × Months

= $327.18 × 12

= $3926.16

Therefore, the net amount that will be saved will be:

= $3926.16 - $3111.84

= $814.32

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Select the correct answer.
A company designs a new water pitcher. They take a picture of the pitcher for their promotional materials. What is the approximate area filled
by the water in the picture on the flyers?
5 in
4 in
3 in
12 in
8 in
О А.
about 48 in?
B. about 66 in?
Oc about 32 in?
OD. about 80 in?

Answers

Applying the area of trapezium, the approximate area filled by water in the picture would be close to: about 48 in.²

What is the Area of a Trapezium?

Area of trapezium = 1/2(a + b)h.

The following are dimensions of the area of the trapezium filled with water:

Level of water (a) = median of the bigger trapezium = (3 + 8)/2 = 5.5 = 6 in.b = 8 in.Height ≈ 12/2 = 6 in.

Area = 1/2(6 + 8) × 6 = 42 in.²

Therefore, applying the area of trapezium, the approximate area filled by water in the picture would be close to: about 48 in.²

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[tex] \displaystyle\red{ \sf\lim_{x \to {0}^{ + } }\frac{1}{ {sin}^{2}x } \int _{ \frac{x}{2} }^{x} {sin}^{ - 1} t \: dt}[/tex]​​

Answers

Use L'Hopital's rule twice:

[tex]\displaystyle \lim_{x\to0^+} \frac1{\sin^2(x)} \int_{\frac x2}^x \sin^{-1}(t) \, dt = \lim_{x\to0^+} \frac1{\sin^2(x)} \left(\int_0^x \sin^{-1}(t) \, dt - \int_0^{\frac x2} \sin^{-1}(t) \, dt\right) \\\\ = \lim_{x\to0^+} \frac{\sin^{-1}(x) - \frac12 \sin^{-1}\left(\frac x2\right)}{2\sin(x)\cos(x)} ~~~~~~~~~~ (LHR) \\\\ = \lim_{x\to0^+} \frac{2\sin^{-1}(x) - \sin^{-1}\left(\frac x2\right)}{2\sin(2x)} \\\\ = \lim_{x\to0^+} \frac{\frac2{\sqrt{1-x^2}} - \frac1{2\sqrt{1-\frac{x^2}4}}}{4\cos(2x)}  ~~~~~~~~~~ (LHR) \\\\ = \lim_{x\to0^+} \frac{\frac2{\sqrt{1-x^2}} - \frac1{\sqrt{4-x^2}}}{4\cos(2x)}[/tex]

The remaining limand is continuous at x = 0, and the limit is

[tex]\displaystyle \lim_{x\to0^+} \frac1{\sin^2(x)} \int_{\frac x2}^x \sin^{-1}(t) \, dt = \frac{2-\frac12}4 = \boxed{\frac38}[/tex]

SOLUTION :-

PLEASE CHECK THE ATTACHED FILE

how do i multiply 30 by -20

Answers

Multiplication of a positive number and negative number

   ⇒ is like any other multiplication

      30 * -20 = 30 * ((-1) * 20) = 30 * -1 * 20 = (-1) * 600 = -600

Hope that helped!

Solve the linear equations below by using:
2x + y = -3
3x - 2y = -8

a. Addition
b. Substitution
c. Graphing ​

Answers

a. Y= -7
X=2
4x+2y=-6
+(3x-2y=-8

your checking account balance as ameasure of money you have in that account which type of scale nominal,ordinal?​

Answers

Answer:

Ratio

Step-by-step explanation:

1. Your checking account number as a name for your account. Nominal (renaming)

2. Your checking account balance as a measure of the amount of money you have in that account. Ratio

3. Your checking account balance as a measure of your wealth. Interval

4. The number you get from a machine (32, 33,...) as a measure of the time you arrived in line. Ordinal

5. The order in which you were eliminated in a spelling bee as a measure of your spelling ability. Interval

6. Your score on the first statistics test as a measure of your knowledge of statistics. Ratio

7. Your score on an individual intelligence test as a measure of your intelligence. Nominal

8. The distance around your forehead measured with a tape measure as a measure of your intelligence. Interval

9. A response to the statement "Abortion is a woman's right" where Strongly Disagree = 1, Disagree = 2, No Opinion = 3, Agree = 4, and Strongly Agree = 5, as a measure of attitude toward abortion. Ordinal

hope it helps:)

The mean of the ages of 5 brothers is 13 years.
12, 16, O, 14, 8

Answers

Answer:

O = 15

Step-by-step explanation:

.mean ' is the average

(12 + 16 + O + 14 + 8) / 5 = 13

50 + O = 65

O = 15

which expression is equivalent to squareroot 36/25

Answers

The correct answer would be: 6/5

Which expression is a factored form of
3n² - 4n - 4
Answer choices.............................
................................................
ANSWER
for reference of other who need it. cuz I needed it and it wasn't on here
A: (n+2) (3n +1)

Answers

Answer:

The answer is (n – 2) (3n + 2)

Step-by-step explanation:

3n² – 4n – 4

3n² – 6n + 2n – 4

3n(n – 2) + 2(n – 2)

(n – 2) (3n + 2)

Thus, (n – 2) (3n + 2) is a factored of

3n² - 4n - 4

4. In 2003, Mississippi’s labor force totaled
1,312,700 persons. The unemployment rate in
the state was 5.6 percent. Approximately how
many people were employed in that year?
Round your answer to the nearest thousand.

Answers

employed: 1,312,700 people

total people : 1,312,700

unemployment : 5.6%

employed : 100% - 5.6% = 94.4%

employed people:

94.4% * 1,312,700 1239188.8≈ 1239189 people

Unemployed persons

5.6% of 13127000.056(1312700)73511

Employed persons

1312700-735111238989

If

a

1

=

8

a

1



=8 and

a

n

=

5

a

n



1

+

5

a

n



=5a

n−1



+5 then find the value of

a

5

a

5



.

Answers

Answer:

55a=

step-by-step explanation:

Answer:

-3125

Step-by-step explanation:

Got it right on delta

Lines a, b, c, and d Intersect as shown.
124
95
42°
53
39°
95°

What is x ?

Answers

Answer:

95 is the answer I took the test

Find the measure of each angle in the isosceles trapezoid.

Answers

Answer:

J=118

L=62

M=62

Step-by-step explanation:

In an isoseles trapezoid, the top angles are congruent to each other and the bottom angles are congruent to each other. Opposite angles are supplementary, and all angles together add up to 360.

Given the functions f(x) = –4x + 5 and g(x) = x3 + x2 – 4x + 5, what type of functions are f(x) and g(x)? Justify your answer. What key feature(s) do f(x) and g(x) have in common? (Consider domain, range, x-intercepts, and y-intercepts.)

Answers

The f(x) has a degree of 1, hence it is linear in nature while g(x) is a polynomial function because of the third degree.

The key features that they have in common are the y-intercept, domain, and range

Linear and quadratic equations

Linear equations are equations that has a degree of 1 while polynomial equations are equations that has a degree of 2 and above.

Given the following functions

f(x) = –4x + 5 and;

g(x) = x^3 + x^2 – 4x + 5

Since the f(x) has a degree of 1, hence it is linear in nature while g(x) is a polynomial function because of the third degree.

The key features that they have in common are the y-intercept, domain and range

Learn more on functions here: https://brainly.com/question/25638609

A case of soda has 12 cans. Each can holds 360 milliliters of soda. What is the total
number of liters of soda in the case?

Answers

Answer:

4.32 Liters

Step-by-step explanation:

12*360 mL= 4320 mL

mL to L= mL/1000

4320/1000= 4.32

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