Answer:
20
Step-by-step explanation:
35-55?
im not sure sorry if im wrong
James invests $5400 in two different accounts. The first account paid 14 %, the second account paid 6 % in interest. At the end of the first year he had earned $580 in interest. How much was in each account?
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.
help i don’t understand this
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
How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3?
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.
Use triangle DEF shown below to answer the question that follows. What is the value of X rounded to the nearest hundredth?
Answer:
it might be x=63.27
Step-by-step explanation:
Graph the line.
Y= 4/3 x
Answer:
hope this helps :)
Step-by-step explanation:
Please help this is due tomorrow!!!
Answer:
Use the Pythagorean therm
Step-by-step explanation:
A squared(one leg) + B square(one leg) = C(aka the hypotenuse)
brainlist plz
10 points
What is the total surface area of the
rectangular prism shown in square inches?
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
What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 11ftand a length of 18ft?
Answer:
i got 691ft
Step-by-step explanation:
Answer: 3366
Step-by-step explanation: (17)(11)(18)= 3366
which equation has the solutions x equals 1 plus or minus the square root of 5
Answer:
d. x2 – 2x – 4 = 0
Step-by-step explanation:
It’s real simple just answer it
Answer:
-6 and negative 1 with the bio
Step-by-step explanation:
Express the quantity of the Cayennepepper im lemon juice in form one
Answer:
HUH
Step-by-step explanation:
Can somebody explain how I'm supposed to do this??
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:
:)
Which graph(s) show an inverse relationship? Check all that apply.
Answer:
can you show the graph please?
Find the measure of angle x 20
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
A bag contains 7 blue, 4 yellow, and 9 purple marbles.
What is the probability of P(not blue) written as a fraction?
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
13. Jessica has taken 8 quizzes. The mean of her scores is 92. Her first 6 scores are shown.
96, 90, 88, 92, 94, 90
If Jessica got the highest score possible on her seventh quiz, what score did she get on her
eighth quiz? What would be her median score Show your work and explain your reasoning.
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!
A recent study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving 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.
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
help please, i need it asap. thank you
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
Please find the answer
Answer:
it's 6.2
Step-by-step explanation:
6.2 is the only number that shows up more than once.
Speed equals distance multiplied by time. *
A: True
B: False
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Which is the quotient of 40 divided by 3?
Factor the expression -8x 2+ 22x - 15
Determine the value of A, the NET salary received by Mr Makatle for
1.3 Show how the UIF contribution of R82.36 was calculated.
1.4 Mr Makatle claims that the cumulative medical and contributions indicate on teza
advice is incorrect. Verily using calculations, whether is claim is valid
5 Calculate his monthly tax contribution as a percentage of his gross szias-
UESTION 2
Danielle is a 48-year-old female who works for MK Designs. She eares a trasie by
FR45 600,50 and an annual bonus equal to her basic monthly salary. Her sa
come for the 2018/2019 tax year is made up of her basic monthly salary on
Ons
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.
Danielle's Net Pay: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
What is net pay?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.
Question Completion: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
Question 1 Requirements: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
Evaluate the expression
y+243.8 when y=79
when can a parallelogram also be a kite?
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.
HELP PLEASE!!! LOOK AG PICTURE -which table represents a quadratic function? justify your answer
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.
What is the value of 3 1⁄4 increased by 2 1⁄6?
Find the value of y.
3 cm
5 cm
X
6 cm
у
2 cm
3 cm
y = [?] cm
Enter a decimal rounded to the nearest tenth.
Answer: 4.3
Step-by-step explanation:
11x2=22
22/3= 7.3
7.3-3= 4.3
what is the 3rd quartile ?
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: