You would like to have $20,000 to use a down payment for a home in five years by making regular, end-of-month deposits into an annuity that pays 6% interest compounded monthly.


How much should you deposit each month?




Round your answer to the nearest cent. Do not include the dollar sign in the answer box below.

Answer: Infinite many solutions

Step-by-step explanation:

Given

5x+3(x-1)=10x-2x-3

Expand Parenthesis

5x+3x-3=10x-2x-3

Combine like terms

8x-3=8x-3

Subtract 8x on both sides

8x-3-8x=8x-3-8x

-3=-3

Add 3 on both sides

-3+3=-3+3

0=0

Any number will work on both sides, therefore, there are infinite solutions

Hope this helps!!: )

Please let me know if you have any questions.

The magnitude of angle Z include the following:

cosZ = 0.471

sinZ = 0.88

tanZ = 1.875

In order to determine the magnitude of angle Z, we would apply the basic trigonometric ratio because the given side lengths represent the adjacent side, opposite side, and hypotenuse of a right-angled triangle.

cos(θ) = Adj/Hyp

Where:

For cosZ, we would apply the cosine trigonometric ratio as follows;

cosZ = 13.6/28.9

cosZ = 0.4706

Z = cos⁻¹(0.4706)

Z = 61.93°.

For sinZ, we would apply the sine trigonometric ratio as follows;

sinZ = 25.5/28.9

sinZ = 0.8824

Z = sin⁻¹(0.8824)

Z = 118.07.

For tanZ, we would apply the sine trigonometric ratio as follows;

tanZ = 25.5/13.6

tanZ = 1.875

Z = tan⁻¹(1.875)

Z = 61.93.

Given:

Total invested amount = $5400

Rate of interest for first account = 14%

Rate of interest for second account = 6%

Total interest after one year = $580

To find:

The amount invested in each account.

Solution:

Let the amount invested in the first account be $x, then the amount invested in the second account is $(5400-x).

Total interest = 14% of $x + 6% of $(5400-x).

[tex]580=\dfrac{14}{100}x+\dfrac{6}{100}(5400-x)[/tex]

Multiply both sides by 100.

[tex]58000=14x+6(5400-x)[/tex]

[tex]58000=14x+32400-6x[/tex]

[tex]58000-32400=8x[/tex]

[tex]25600=8x[/tex]

Divide both sides by 8.

[tex]\dfrac{25600}{8}=x[/tex]

[tex]3200=x[/tex]

Now,

[tex]5400-x=5400-3200[/tex]

[tex]5400-x=2200[/tex]

Therefore, the amount invested in first account is $3200 and the amount invested in the second account is $2200.

complete question

study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving ( The Wall Street Journal , May 5, 2010). In October 2010, Massachusetts enacted a law that forbids cell phone use by drivers under the age of 18. A policy analyst would like to determine whether the law has decreased the proportion of drivers under the age of 18 who use a cell phone.a. State the null and the alternative hypotheses to test the policy analyst’s objective.

b. Suppose a sample of 200 drivers under the age of 18 results in 150 who still use a cell phone while driving. What is the value of the test statistic? What is the p-value?c. At α = 0.05 has the law been effective?

d. Repeat this exercise using the critical value approach with α = 0.05

Answer:

1. H0: p>=0.82

H1: p<0.82

2. z test statistic = -2.5767

3. the law has been effective

4. the null is rejected, the law has been effective

Step-by-step explanation:

1. hypothesis formulation

H0: p>= 0.82

H1: p< 0.82

2. p = 82% = 0.82

estimated p^ = x/n = 150/200 = 0.75

standard error calculation:

= √0.82(1-0.82)/200

= √0.82x0.18/200

= √0.02716615

Z test statistic calculation:

= 0.75-0.82/0.02716615

= -2.5767

3. this test is 1 tailed

the p-value using a p value calculator is = 0.004983

0.004983 < 0.05 so we Reject null and conclude that the law has been effective.

4. we Reject null at 0.05 if z is less than -1.645.

-2.5767<-1.645 so we Reject H0 and conclude law has been effective and there is a decrease in drivers under this age who use cell phones

Answer:

-6 and negative 1 with the bio

Step-by-step explanation:

Answer:

can you show the graph please?

Answer:

table two

Step-by-step explanation:

The increase rate for table one is constant that's why it is a linear function

In the second table, however, the increase rate increases as x increases, it is not constant; therefore, table two is a quadratic function.

Answer:

31.4 in

Step-by-step explanation:

Count the 4 mm lines and add it to 31 ins. So you end up with 31.4 in

Answer:

it's 6.2

Step-by-step explanation:

6.2 is the only number that shows up more than once.

Answer:

The upper or third quartile, denoted as Q3, is the central point that lies between the median and the highest number of the distribution.

Step-by-step explanation:

Answer: 4.3

Step-by-step explanation:

11x2=22

22/3= 7.3

7.3-3= 4.3

Answer:

i got 691ft

Step-by-step explanation:

Answer: 3366

Step-by-step explanation: (17)(11)(18)= 3366

9514 1404 393

Answer:

  when it is a rhombus

Step-by-step explanation:

A kite is a figure in which the diagonals are perpendicular, and one of them is bisected by the other. It will be a parallelogram if both diagonals bisect each other. Such a figure (with mutually perpendicular bisectors as diagonals) is a rhombus.

A parallelogram that is a rhombus will also be a kite.

Answer:

x = 5

Step-by-step explanation:

[tex]\frac{3}{x}[/tex] = [tex]\frac{4.5}{7.5}[/tex]

cross multiply

4.5x = 7.5(3)

4.5x = 22.5

Divide

x = 5

Answer:

20°

Step-by-step explanation:

[tex]m \angle \: x = 20 \degree \\ (vertical \: \angle s)[/tex]

Answer:

x = 20°

Step-by-step explanation:

By opposite angle

x = 20°

-TheUnknownScientist

Answer:

it might be x=63.27

Step-by-step explanation:

Answer:

13/20

Step-by-step explanation:

you count up all the marbles together, which is 20 and then count up all the other marbles besides blue, which would be 13 of the 20 marbles are not blue

Answer:

D. 286.5 in.^2

Step-by-step explanation:

3 X 7.5+ 3 X 11.5 + 3 X 7.5+ 11.5 X 3 + 7.5 X 11.5 + 7.5 X 11.5=

22.5 + 34.5 + 22.5 + 34.5 + 86.25 + 86.25=

total surface area= 286.5 in.^2

Answer:

HUH

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

You take the points and input them into the equation. If they all equal the set then it is the equation. So for example a point on the graph is (2,30) so in this case x is 2 so you would do y= 15(2) which is 30. So that equation and point checks out. Repeat with the others

Answer:

its c

Step-by-step explanation:

:)

Answer:

d. x2 – 2x – 4 = 0

Step-by-step explanation:

Answer: Median= 91; 8th quiz score=86

Step-by-step explanation: The sum of the scores is 8×92=736. Subtract the 6 given scores and then a 100 for the seventh quiz to find the score she got on the 8th quiz, this is an 86. Now that you have all the scores, arrange them all in the least to greatest order and find the average of the middle two numbers (median), which is 91!

Answer:

hope this helps :)

Step-by-step explanation:

Answer:

hfgf td utdu6kjyyyudytdcyu6   vfhdutd,ld

Step-by-step explanation:

1. The value of A, the Net Salary received by Mr. Makatle is R 5,369.49 (R8,236,00 - R 2 866,51), which is the gross pay minus total deductions.

2. The UIF contribution of R82.36 was calculated as 1% of R8236,00 (R 8,236 x 1%).

3. Mr. Makatle's claims that the cumulative medical contributions indicated on his pay advice are incorrect are valid.

The cumulative medical contributions for the year are supposed to total R 17,640 (R 1 764,00 x 10) instead of R 6,177.00, which represents the pension's cumulative contributions.

4. Mr. Makatle's monthly tax contribution as a percentage of his gross salary is 4.8865%.

Tax contribution = R 402.45

Gross monthly salary = R 8 236

Percentage of tax contribution to gross salary = 4.8865% (R402.45/R8,236 x 100)

5. For question 2, we can use the rates computed from Mr. Makate's salary advice to calculate Danielle's net pay for the year.

Basic Salary                        FR 45 600,50

PAYE                                        R 2,228.27 (4.8865%)

UIF                                               R 456.01 (1%)

Pension Fund                        R 3 420. 04 (7.5%)

Medical Aid contribution        R 9,766.72  (21.418%)

TOTAL DEDUCTIONS           R 15,871.04

NET SALARY                       R 29,729.46

The net pay is the difference between a salary earner's gross income and the deductions made before the payment of salary.

The net pay represents the amount that the salary earner goes home with.

The net pay is also known as the take-home pay.

Mr. Paul Makatle is an employee at a clothing factory The following deductions are made from his gross monthly salary:

• 7,5% of his gross monthly salary for pension fund contributions

• UIF (Unemployment Insurance Fund) of 1% of his gross monthly salary

• PAYE (Pay as you earn) tax as per tax bracket

Use the salary advice below that Mr. Makatle receives for December 2020 to answer the questions that follow.

Basic Salary                        R 8 236,00

PAYE                                      R 402.45 (4.8865%)

UIF                                           R 82,36 (1%)

Pension Fund                        R 617,70 (7.5%)

Medical Aid contribution  R 1 764,00  (21.418%)

TOTAL DEDUCTIONS     R 2 866,51

NET SALARY                   R 5 369,49

GROSS SALARY IRP5 PARTICULARS-cumulative year to date:

R 82360,00

Total Employee's Tax R 6177.00

Medical Aid contr R 6,177.00

1. Determine the value of A, the NET salary received by Mr. Makatle

2. Show how the UIF contribution of R82.36 was calculated.

3. Mr. Makatle claims that the cumulative medical contributions indicated on his pay advice are incorrect. Verify, using calculations, whether his claim is valid

4. Calculate his monthly tax contribution as a percentage of his gross salary.

5. Calculate Danielle's net pay for the year, using Makatle's pay advice.

Learn more about gross and net salaries at https://brainly.com/question/25267964

Answer:

Use the Pythagorean therm

Step-by-step explanation:

A squared(one leg) + B square(one leg) = C(aka the hypotenuse)

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