Answer:
21 weeks/months/years
the unit is not clarified in the question.
Step-by-step explanation:
First, we have to calculate the amount of interest added after each interest period. In this case, we know the interest rate is 7.5% so after each period, there will be extra 1875 dollars of interest.
25000 x 0.075 = 1875
Now, we find out how many periods of interest adds up to a sum of 39375. We just divide the amount of interest it's asking by the amount of interest after 1 period.
39,375/1875 = 21
boom, It will take 21 periods.
Nina can ride her bike 63,360 ft. In 3,400 seconds, Sophia can ride her bike 10 million 1 hour. What is Nina's rate per hour if there are 5'280 ft. in a mile? Which girl bikes faster?
A car purchased for $15,000 today will be worth 6% less each year. How much
will the car be worth at the end of 5 years? Write the exponential function to model the increase. Calculate the value of the car in 5 years
Answer:
$11,008.56.
Step-by-step explanation:
6% less each year means that the car is worth (100 - 6) = 94% or 0.94 of the previous year,
The function is:
f(t) = 15000(0.94)^t where t = the times in years.
After 5 years the value =
15000(0.94)^5
= $11008.56
Jessica just put 14.41 gallons of fuel into her car. There were 3.6 gallons in the car to begin with. How much fuel is in jessicas car now PLEASE HURRY!!
Answer:
18.01 gallons
Step-by-step explanation:
14.41
3.6
=18.01
what is the value of x enter your answer in the box
Answer:
a=8
Step-by-step explanation:
10^2=a^2+6^2
100=a^2+36
100-36= a^2
64=a^2
√ 64=√ a^2
8=a
If y varies directly with x which equation describes x = 72 and y = 36?
Answer:
k = 1/2
Step-by-step explanation:
direct variation equation is y = kx where 'k' is the constant of variation
substitute 36 for 'y' and 72 for 'x' to get:
36 = 72k
solve for 'k' to get:
k = 36/72 or k = 1/2
Julie is tracking the growth of a plant for a science project. The height of the plant on the 2nd day she measured was 8 inches and on the 7th day it was 20.5 inches. Assume the relationship is linear
Answer:
Step-by-step explanation:
The relationship is linear, so the plant grows the same amount each day.
The height on the 2nd day was 8 inches:
h₂ = 8
The height on the 7th day was 20.5 inches:
h₇ = h₂ + (7-2)d = 8 + 5d = 20.5
d = 2.5
The plant grows 2.5 inches each day.
can someone plz help with my math?!?!
Answer:
a) Plan B cost more, and $6
b) Plan B cost less according to long calls
Step-by-step explanation:
As you can see that at 175 minutes used(per month) Plan A is $14 and Plan B is $20. So Plan B cost more but the difference between then is 20 - 14 = 6. For the second question: They cost the same at 250 minutes used(per month) and Plan B since the line is flat and the price is the same for all minutes
Plz help me well mark brainliest if you are correct!…
Who can help me with this? Write in detail, step by step
The solution of the system are (5, 1) and (-1, -5)
How to solve the system of equations?Here we have the system of equations:
1/x- 1/y = -4/5
x - y = 4
isolating x on the second equation we wil get:
x = 4 +y
We can replace it on the other one to get:
1/(4 +y) - 1/y = -4/5
We can rewrite this as:
y - (4 + y) = -(4/5)*y*(y + 4)
-4 = -(4/5)*(y^2 + 4y)
1 = (1/5)*(y^2 + 4y)
5 = (y^2 + 4y)
So we have a quadratic equaton:
y^2 + 4y -5 = 0
The solutions are given by the quadratic formula:
\(y = \frac{-4\pm \sqrt{4^2 - 4*1*-5 } }{2*1} \\\\y = \frac{-4\pm 6 }{2}\)
So the two solutions are:
y = (-4 + 6)/2 = 1
y = (-4 - 6)/2 = -5
if y = 1, then:
x = 4 +y = 4 + 1 = 5
if y = -5
x = 4 + (-5) = -1
The two solutions are (5, 1) and (-1, -5)
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The payroll register of Wang Heritage Co indicates $2,058 of social security withheld and $514.50 of Medicare tax withheld on total salaries of $34,300 for the period. Earnings of $10,600 are subject to state and federal unemployment compensation taxes at the federal rate of 0.8% and the state rate of 5.4%. Provide the journal entry to record the payroll tax expense for the period. If an amount box does not require an entry, leave it blank. Round to two decimal places. Payroll Tax Expense Social Security Tax Payable Medicare Tax Payable State Unemployment Tax Payable Federal Unemployment Tax Payable
Answer:
Date X, Month Y, payroll taxes expense
Dr FICA (OASDI) taxes expense 2,058
Dr FICA (Medicare) taxes expense 514.50
Dr FUTA taxes expense 84.80
Dr SUTA taxes expense 572.40
Cr Dr FICA (OASDI) taxes payable 2,058
Cr FICA (Medicare) taxes payable 514.50
Cr FUTA taxes payable 84.80
Cr SUTA taxes payable 572.40
Step-by-step explanation:
The amount of employer's FICA taxes expense is the same as the FICA taxes withheld from employees' salaries. Since the question asked for the journal entry to record payroll taxes, wages expense is not included.
A new cream was developed to reduce the irritation caused by poison ivy. To test the effectiveness, researchers placed an ad online asking for volunteers to participate in the study, and 100 subjects replied. They are informed that one group of 50 will receive a new cream and the remaining group of 50 will receive a cream with no active ingredient. The subjects are numbered 1–100 and these numbers are put into a random number generator. The first 50 unique numbers will represent the subjects that will receive the new cream and the remaining 50 subjects will receive the inactive cream. All subjects are exposed to poison ivy and given their cream. They are asked to return in three days and report their level of irritation. The average scores for each cream are compared.
Does this procedure describe a completely randomized design for this experiment?
Yes, the subjects will be exposed to the poison ivy.
Yes, the subjects are randomly assigned to each treatment.
No, the subjects are asked to return in three days. It is possible that some of them may not return, which will introduce bias into the results.
No, the subjects are randomly assigned to the two treatment groups, but the groups are not guaranteed to have 50 subjects in each.
The procedure describe a completely randomized design for this research as B. Yes, the subjects are randomly assigned to each treatment.
How to illustrate the information?In a randomized block design, the experimental units are divided into groups that we refer to as blocks. The experimental units inside each of the blocks will then be randomly assigned treatments.
As we can see from the question, they were divided into Blocks based on how much sun exposure they received while engaging in outdoor activities. After that, random treatments are assigned to each group.
Here, the participants are divided into groups based on their sun exposure, and then both treatments are distributed at random among the groups.
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PLZ HELP ME FASTTTT Which phrase is a translation of the expression shown? 4/7d-7 A)4 times d plus seven B)seven-fourths of d minus C)four-sevenths of d minus seven D)four-sevenths of d plus seven
Answer:
C
Step-by-step explanation:
4/7d means four sevenths of d, multiplying 4/7 by d
-7 means minus 7, subtracting 7
please give thanks by clicking heart button! :)
Answer:
C is correct, give the person above brainly!
Step-by-step explanation:
Complete the table. Answer should be T or F.
P Q
T F P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
F T P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
T T T T T F F F F F T T
F T T F F T T T T T F F
P F T F F T T T T T F F
-P T T F F T T T T T F F
-Q T T T T F T F F F T T
-P V -Q T T F F T T T T T F
-P -> Q T T F F T T T T T F
-P -> -Q T T F F T T T T T F
P <-> Q T T T T F T T T T F
Here is a more detailed explanation of how I filled out the table:
P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.
P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.
-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.
-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.
-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.
-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.
-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.
P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.
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What is the general form of the equation of the line shown? 2 x - y + 3 = 0 2 x - y - 3 = 0 x - 2 y - 3 = 0
Answer:
2x - y - 3 = 0
Step-by-step explanation:
Find slope-intercept form first: y = mx + b
Step 1: Pick out 2 points
In this case, I picked out (2, 1) and (0, -3) from the graph
Step 2: Using slope formula y2 - y1/x2 - x1 to find slope
-3 - 1/0 - 2
m = 2
Step 3: Place slope formula results into point-slope form
y = 2x + b
Step 4: Plug in a point to find b
-3 = 2(0) + b
b = -3
Step 5: Write slope-intercept form
y = 2x - 3
Step 6: Move all variables and constants to one side
0 = 2x - 3 - y
Step 7: Rearrange
2x - y - 3 = 0 is your answer
If f(x) = −2 + 8, what is f(−1.8)?
4
6
10
12
Answer:
10
Step-by-step explanation:
right on edge, ITS NOT 6
Answer: 10
Step-by-step explanation:
edge2020
For lunch, I ate a toasted cheese sandwich and it has 450 calories and 16g protein with some baked potato fries and it has 230 calories and 3g protein. How much protein and calories did I eat in all?
Answer:
Give the person above me brainliest
Step-by-step explanation:
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound
B. If a chemist wants to make 728 milliliters of the drug, how many milliliters of compound A are needed?
? milliliters of compound A
In order to create 728 millilitres of the medication, 273 millilitres of component A are required.
What do you mean by compound?A compound in chemistry is a material comprised of two or more separate chemical elements mixed together in a certain proportion. Chemical connections that are challenging to break are created when the elements interact with one another.
Compound A:Compound B ratio in the medication is 3:5. In other words, there are 3 millilitres of compound A and 5 millilitres of compound B for every 3+5=8 millilitres of the medicine.
We may set up a percentage using the ratio of compound A to the total volume of the medicine to determine how much compound A is required to make 728 millilitres of the drug:
3 ml x 3 ml x 3 ml
-------- = ----------
728 ml total, 8 ml overall
If we cross-multiply, we obtain:
8(x) = 3(728)
To find x, we use the formula x = 3(728)/8 = 273
In order to create 728 millilitres of the medication, 273 millilitres of component A are required.
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273 milliliters of compound A are needed to make 728 milliliters of the drug.
What are proportions?
In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:
a/b = c/d
To determine the amount of compound A needed to make 728 milliliters of the drug, we need to use the given ratio of 3 milliliters of compound A to 5 milliliters of compound B.
Let's start by finding the ratio of compound A to the total amount of ingredients (A+B) in the drug:
3 : (3+5) or 3:8
This means that for every 8 milliliters of the drug, 3 milliliters of compound A are used.
To find out how many milliliters of compound A are needed for 728 milliliters of the drug, we can set up a proportion:
3/8 = x/728
where x represents the amount of compound A needed.
To solve for x, we can cross-multiply:
8x = 3*728
8x = 2184
x = 273
Therefore, 273 milliliters of compound A are needed to make 728 milliliters of the drug.
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Which expression represents
60
6060 divided by the product of
4
44 and
3
33?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
60
÷
(
4
×
3
)
60÷(4×3)60, divided by, left parenthesis, 4, times, 3, right parenthesis
(Choice B)
B
(
4
×
3
)
÷
60
(4×3)÷60left parenthesis, 4, times, 3, right parenthesis, divided by, 60
(Choice C)
C
(
60
÷
4
)
×
3
(60÷4)×3left parenthesis, 60, divided by, 4, right parenthesis, times, 3
thanks you
The correct expression to represent 60 divided by the product of 4 and 3 is;
⇒ 60 ÷ (4 x 3)
Option A is true.
What is mean by Number system?
A system of writing to express the number is called Number system.
The written expression is given as;
''60 divided by the product of 4 and 3''.
Now, The product of 4 and 3 is written as;
⇒ 4 x 3
Since, 60 is divided by product of 4 and 3.
Hence, It can be written as;
⇒ 60 ÷ (4 x 3)
So, The correct expression to represent 60 divided by the product of 4 and 3 is;
⇒ 60 ÷ (4 x 3)
Option A is true.
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NEED HELP ASAP! Translate into symbols
1. Fifteen more than a number
2. Decreased the quotient of forty eight and 6 by two is six
Answer:
x-6+6(6+6+6)X I am a pro boiiiiii
PLEASE HELPP
What is the value of m?
13m+3−56m=−15
m=−36
m=−27
m = 27
m = 36
Answer:
m = 18/43.
Step-by-step explanation:
13m + 3 − 56m = −15
13m - 56m = -15 - 3
- 43m = -18
m = 18/43.
Answer: plz mark me as brainiest
i took the test and its 36
The number 1 is a factor of _________.
A) all odd numbers
B) all even numbers
C) all whole numbers
Answer:
The number 1 is a factor of C)all whole numbers.
1 is a factor of all whole numbers.
Every single number, including odd numbers and even numbers, is divisible by 1 (evenly, without any remainders)
Remember, whole numbers include odd numbers, even numbers, and 0.
note:-Hope everything is clear; if you need any more explanation and/or clarification, kindly let me know, and I will comment and/or edit my answer.
Could somebody please help me with this Matrix and how to decode it? i've been struggling with these. I will mark brainest for the help! Please explain as well i'd appreciate it. I provided everything for the equation in the photo!
Answer:
Step-by-step explanation:
To decode the message, we take the string of coded numbers and multiply it by the inverse of the matrix to get the original string of numbers. Finally, by associating the numbers with their corresponding letters, we obtain the original message
Write a polynomial in standard form that meets the following conditions. Assume a=1 and your function is f(x), The zeros are -1/2, 2, and -6.
Answer:
f(x) = x³ + (9/2)x² - 10x - 6
Explanation:
A polynomial with zeros at b, c, d has the following form
f(x) = a(x - b)(x - c)(x - d)
Where a is the leading coefficient.
In this case, a = 1, and the zeros are -1/2, 2, and -6. Then, we can write the polynomial as follows
\(\begin{gathered} f(x)=1(x-(-1/2))(x-2)(x-(-6_{})) \\ f(x)=(x+\frac{1}{2})(x-2)(x+6_{}) \end{gathered}\)To write it in standard form, we need to expand the expression, so
\(\begin{gathered} f(x)=(x(x)+x(-2)+\frac{1}{2}(x)+\frac{1}{2}(-2))(x+6) \\ f(x)=(x^2-2x+\frac{1}{2}x-1)(x+6) \\ f(x)=(x^2-\frac{3}{2}x-1)(x+6) \\ f(x)=x^2(x)+x^2(6)-\frac{3}{2}x(x)-\frac{3}{2}x(6)-1(x)-1(6) \\ f(x)=x^3+6x^2-\frac{3}{2}x^2-9x-x-6 \\ f(x)=x^3+\frac{9}{2}x^2-10x-6 \end{gathered}\)Therefore, the polynomial in standard form is
f(x) = x³ + (9/2)x² - 10x - 6
The intersection of two lines can be a ray. true or false.
Step-by-step explanation:
it's false,
it should be a point
Complete the reasons for the proof. Given: m ∠ 3 = m ∠ 4 Prove: ∠ 1, ∠ 2 are supplementary STATEMENT REASON 1. m ∠ 3 = m ∠ 4 1. 2. ∠ 2, ∠ 3 are supplementary 2.sides in rays 3. m ∠ 2 + m ∠ 3 = 180º 3. Definition of angles 4. m ∠ 2 + m ∠ 4 = 180º 4. Substitution 5. m ∠ 1 = m ∠ 4 5. Opposite are 6. m ∠ 2 + m ∠ 1 = 180º 6. 7. ∠ 1, ∠ 2 are supplementary 7. Definition of angles
The statements and completed reasons to prove the specified relation are presented as follows;
STATEMENT \({}\) REASONS
1. m∠3 = m∠4 \({}\) 1. Given
2. ∠2 and ∠3 are supplementary \({}\) 2. Linear pair angles
3. m∠2 + m∠3 = 180° \({}\) 3. Definition of supplementary angles
4. m∠2 + m∠4 = 180° \({}\) 4. Substitution property
5. m∠1 = m∠4 \({}\) 5. (Vertically) opposite angles are congruent
6. m∠2 + m∠1 = 180° 6. Substitution property
7. ∠1 and ∠2 are supplementary angles \({}\) 7. Definition of supplementary angles
What are supplementary angles?Supplementary angles that have a sum of 180°
The details of the included statement in the above two column table are presented as follows;
Reason 2. Linear pair angles
Linear pair angles are adjacent angles that share a common ray and the other rays of each angle together form a straight line.
5. Vertically opposite angles;
Vertically opposite angles are angles that are formed by two intersecting lines and which are located on the (vertically) opposite sides of the lines
Vertically opposite angles are always congruent
6. Substitution property of equality states that if a = b then a can replace in any equation or expression and the value of the expression or equation will remain the same
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The cost of installing an electric heating system for a 3- bedroom home is $5000 and the operating cost is $1,100 per year. A solar heating system costs $29,700 to install but only $150 per year to operate. After how many years will total costs for the two systems be the same? What will the cost be?
Answer:22
Step-by-step explanation:
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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I need help somebody help me please
The amοunt οf space within the cylinder that is nοt taken up by the tennis balls is abοut 12.56 cubic inches.
What is cylinder?A cylinder is a three-dimensiοnal geοmetric shape that cοnsists οf twο parallel circular bases οf the same size and shape, and a curved lateral surface cοnnecting the bases.
The vοlume οf the cylindrical cοntainer can be calculated using the fοrmula fοr the vοlume οf a cylinder:
Vcylinder = πr²h
where the cylinder's radius (r) and height (h) are given.
Substituting the given values, we have:
Vcylinder = 3.14 x 1² x 8Vcylinder = 25.12 cubic inches
The vοlume οf οne tennis ball can be calculated using the fοrmula fοr the vοlume οf a sphere:
Vball = 4/3 x πr³
where r is the radius οf the tennis ball.
Substituting the given value, we have:
Vball = 4/3 x 3.14 x 1³
Vball = 4.19 cubic inches
Since there are three tennis balls, the tοtal vοlume they take up is:
3 x Vball = 3 x 4.19 = 12.57 cubic inches.
Therefοre, the amοunt οf space within the cylinder that is nοt taken up by the tennis balls is:
Vcylinder - 3 x Vball = 25.12 - 12.57 = 12.55 cubic inches
Rοunding this answer tο the nearest hundredth gives:
12.55 rοunded tο the nearest hundredth is 12.56 cubic inches.
Hence, the amοunt οf space within the cylinder that is nοt taken up by the tennis balls is abοut 12.56 cubic inches.
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Zelma buys p pounds of bananas for 40 cents per pound. She pays the clerk with a twenty-dollar bill. The clerk subtracts the total cost of the bananas from the twenty-dollar bill to determine the amount of change to give Zelma. Which expression represents the amount of change Zelma should receive?
Answer: C. 20-.40p
Step-by-step explanation:
We know that from the given information that each pound is worth 40 cents, and that its being subtracted from the twenty dollar bill.
"Why are the others choices wrong?"
A. p-20, isn't the proper equation due to the stated information.
B. B. 20 -40p, this equation has Zelma pay $40 dollars each pound, which isn't correct due to what the text has stated ("for 40 cents per pound").
D. 40p-20, from the given text, this equation is wrong ("She pays the clerk with a twenty-dollar bill), it never states that she will be charged twenty dollars, or be given forty for each pound.
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PLEASE HELP ME! THANK YOU!
Answer:
PICTURE NOT LOADING BUT GUESS OR LOOK IT UP OR SOMETHING SORRY SOS ANYONE SOS
Step-by-step explanation: