Answers
First, we can factorize z from the denominator, then we can cancel one z
\(\frac{3z^2}{5z^2+7z}=\frac{3z^2}{(5z^{}+7)z}=\frac{3z}{5z^{}+7}\)\(f(z)=\frac{3z}{5z^{}+7}\)Then applying the quotient rule
\(f^{\prime}(z)=(\frac{g\mleft(z\mright)}{h(z)})^{\prime}=\frac{h(z)g^{\prime}(z)-h^{\prime}(z)g(z)}{h^2(z)}\)\(\begin{gathered} g(z)=3z \\ g^{\prime}(z)=3 \end{gathered}\)\(\begin{gathered} h(z)=5z+7 \\ h^{\prime}(z)=5 \end{gathered}\)\(f^{\prime}(z)=(\frac{3z}{5z^{}+7})^{\prime}=\frac{(5z+7)\cdot3-5(3z)}{(5z+7)^2}\)\(f^{\prime}(z)=\frac{15z+21-15z}{(5z+7)^2}=\frac{21}{(5z+7)^2}\)the derivate is
\(\frac{21}{(5z+7)^2}\)Related Questions
Knowledge Check 01
The allowance method of accounting for bad debts has the following advantages over the direct write-off method including: (You may
select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and
double click the box with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be
automatically graded as incorrect.)
*Records estimated bad debts expense in the pertod when the related sales are recorded.
Records estimated bad debts expense when the account receivable is determined to be uncollectible.
*Reports accounts receivable on the balance sheet at the estimated amount of cash to be collected
• Reports sales on the income statement at the estimated amount of cash to be collected.
Answers
The correct options are - A. In the period in which the corresponding sales are recorded, records the expected bad debt expenditure. and C. Reports accounts receivable at the estimated amount of cash to also be collected on the balance sheet.
Explain the benefits of allowance method:The measure that the company uses to set aside money for its bad debts or uncollectible accounts is known as the allowance method of accounting. This accounting technique reflects the accrual basis.
The key benefit of applying the allowance technique in business is that it enables the company to give interested parties accurate financial reporting. By the allowance approach, the precise account receivable with in balance sheet can be estimated. Also, the management will be able to make decisions about their creditors plus bad debt collection with the use of these trustworthy disclosures. The business can determine the precise number of account heads there in statement of business by conducting a proper examination of its holdings and receivables.Know more about the allowance method
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Correct question:
The allowance method of accounting for bad debts has the following advantages over the direct write-off method including: (You may select more than one answer. ):
A. Records estimated bad debts expense in the period when the related sales are recorded.
B. Records estimated bad debts expense when the account receivable is determined to be uncollectible.
C. Reports accounts receivable on the balance sheet at the estimated amount of cash to be collected
D. Reports sales on the income statement at the estimated amount of cash to be collected
If you do this, I'll give you the crown.
Solve each problem.
The classroom had 25 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom have?
Answer:
A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 4 : 1, how many homework problems did she have total?
Answer:
A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounce of sugar, how many ounces of flour would you need to use?
Answer:
Write an equation for each using the variables provided.
For each pound there are 16 ounces.
Write an equation to express the total number of ounces (Z) in (Y) pounds.
Equation:
Every dollar is 4 quarters.
Write an equation to express the total number of quarters (Q) in dollars (D).
Equation:
Word Problems. You must show your work and answer to get full credit.
Henry and Grace had the same amount of money. After Henry spent $28 and Grace spent $16, the ratio of the amount of money Henry had to the amount of money Grace had was 2 : 5. How much money did each of them have at first?
You may create a tape diagram to help you.
(copy & paste)
Henry:
Grace:
Three clerks can type six documents in 12 days. At this rate, how long will it take for two clerks to type three such documents?
Answers
The classroom had 25 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom have?
5 sticks / 2 bottles
25 sticks / x bottles
10 bottles
Answer: 10 bottles
A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 4 : 1, how many homework problems did she have total?
8 finished
4 finished / 1 left
8 finished / 2 left
10 total
Answer: 10 total problems
A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounce of sugar, how many ounces of flour would you need to use?
7 sugar / 3 flour
63 oz sugar / x oz flour
27 oz flour
Answer: 27 oz flour
Write an equation for each using the variables provided.
For each pound there are 16 ounces.
Write an equation to express the total number of ounces (Z) in (Y) pounds.
1 lb / 16 oz
Z = 16Y
Equation: Z = 16Y
Every dollar is 4 quarters.
Write an equation to express the total number of quarters (Q) in dollars (D).
1 dollar = 4 q
Q = 4D
Equation: Q = 4D
Word Problems. You must show your work and answer to get full credit.
Henry and Grace had the same amount of money. After Henry spent $28 and Grace spent $16, the ratio of the amount of money Henry had to the amount of money Grace had was 2 : 5. How much money did each of them have at first?
You may create a tape diagram to help you.
(copy & paste)
( H - 28 ) / ( G - 16 ) = 2 / 5
H - 28 = 2
H = 30
G - 16 = 5
G = 21
Henry: 30
Grace: 21
Three clerks can type six documents in 12 days. At this rate, how long will it take for two clerks to type three such documents?
3 clerks take 12 days to write 6 docs
1 clerk takes 4 days to write 2 docs
2 clerks take 8 days to write 4 docs
8 : 4
3/4 * ( 8 ) : ( 4 ) * 3/4
6 : 3
6 days
Please help me, answer all
Ena Ena’s recipe for dinner roles requires 1000 grams of flour to make 24 rolls.
Answers
Answer: 3'000 for 72 rolls
250 grams for 6 rolls
42 grams for 1 roll
r=42f
2380 grams makes 57 rolls
Step-by-step explanation:
-Since it takes 1000 for 24 rolls, and you want to make 72, you will need to divide 72 by 24, resulting in a quotient of 3, next you will have to multiply 1000 by 3, to keep the ratio even, meaning you need 3000 grams of flour for 72 rolls.
-Next, since Ena wants to make 6 rolls, you will need to divide 6 by 24, because it is less than the standard unit amount (24) and will result in decimals coming in to play, after dividing you should be left with 0.25, which then u can throw into an equation with 1000, resulting in needing 250 grams for 6 rolls
-To make 1 roll, you'll need to divide 1000 by 24, because since it takes a 1000 grams to make 24 rolls, that means if you divide it by 24 you can see how much it takes per roll, since we aren't given that information at the start. After dividing, you'll end up with 41.66 grams, or 42 if your teacher wants you to round up to a whole number.
- The proper equation for sourcing the amount of flour required per roll, you want to isolate r, then since f represents 1 gram of flour, all you have to do is multiply it by 42, meaning your equation will look like r=42f
-Lastly since Ena has 2380 grams in her pantry, and it takes 41.66 grams per roll before rounding, you will need to divide 2380 by 41.66, resulting in 57.1, then you can just round it down to 57 because we aren't taking into account parts of the roll, only wholes.
An estimated 1.8 million students take on student loans to pay ever-rising tuition and room and board (The New York Times, April 17, 2009). It is also known that the average cumulative debt of recent college graduates is about $22,500. Let the cumulative debt among recent college graduates be normally distributed with a standard deviation of $7,000. Approximately how many recent college graduates have accumulated a student loan of more than $30,000
Answers
Answer:
Approximately 256,140 recent college graduates have accumulated a student loan of more than $30,000.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Average cumulative debt of recent college graduates is about $22,500, standard deviation of $7,000.
This means that \(\mu = 22500, \sigma = 7000\)
Proportion more than 30000.
1 subtracted by the pvalue of Z when X = 30000. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{30000 - 22500}{7000}\)
\(Z = 1.07\)
\(Z = 1.07\) has a pvalue of 0.8577
1 - 0.8577 = 0.1423
Approximately how many recent college graduates have accumulated a student loan of more than $30,000?
0.1423 out of 1.8 million.
0.1423*1.8 = 0.25614 million = 256,140
Approximately 256,140 recent college graduates have accumulated a student loan of more than $30,000.
What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Answers
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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What is the slope? (IXL)
Answers
Answer:
2/3
Step-by-step explanation:
A poll of 1,000 randomly selected registered voters was taken and 680 responded that they favor candidate X for mayor (p 1 = 0.6800). Just before the election, another poll of 900 registered voters was taken and 598 individuals responded that they favor candidate X (p 2 = 0.6644). A 90% two-proportion z confidence interval for the true difference between p 1 and p 2was found to be (-0.0199, 0.0510). What is the meaning of the interval in the context of the problem?
a)There has been no change in support for the candidate.
b)There has been a substantial drop in support for the candidate.
c)There has been a substantial gain in support for the candidate.
d)It is probable for the candidate to get most of the votes because the confidence interval includes zero.
e)It is not probable for the candidate to get most of the votes because support has dropped below 50%.
Answers
The meaning of the interval is "there has been no change in support for the candidate". Thus, option (a) is correct.
The 90% two-proportion z-confidence interval (-0.0199, 0.0510) represents the likely range of the genuine difference between the two polls in support of candidate X.
Because the interval comprises 0, the difference in support between the two polls is unlikely to be statistically significant. In other words, there is no compelling evidence that there has been a significant shift in support for the candidate.
Options b), c), d), and e) imply a substantial change in support for the candidate, either positive or negative.
Thus, option (a) is correct.
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Express the function G in the form f ∘ g ∘ h
G(x) = 3/(7+√x)^2
Answers
prove that
1/(sec A - tan A) =sec A + tan A
Answers
Answer:
Step-by-step explanation:
let s estimate the following
\((secA-tanA)(secA+tanA)=sec^2A-tan^2A=\dfrac{1}{cos^2A}-\dfrac{sin^2A}{cos^2A}=\dfrac{1-sin^2A}{cos^2A}=\dfrac{cos^2A}{cos^2A}=1\)
as \(cos^2A+sin^2A=1\)
it means that
\(\dfrac{1}{secA-tanA}=secA+tanA\)
hope this helps
Instruction's
The cash account for Brentwood Bike Co. at May 1 Indicated a balance of $34,250. During May, the total cash deposited was $140,300, and checks written totaled $138,880. The bank statement indicated a balance
of $43,525 on May 31. Comparing the bank statement, the canceled checks, and the accompanying memas with the records revealed the following reconciling items:
a. Checks outstanding totaled $6,440.
b. A deposit of $1,850 representing receipts of May 31 had been made too late to appear on the bank statement.
c. The bank had collected for Brentwood Bike Co. $5,250 on a note left for collection. The face of the note was $5,000.
d. A check for $390 returned with the statement had been incorrectly charged by the bank as $930.
e. A check for $210 returned with the statement had been recorded by Brentwood Bike Co. as $120. The check was for the payment of an
obligation to Adkins Co. on account.
1. Bank service charges for May amounted to $30.
g. A check for $1,325 from Jennings Co. was returned by the bank due to insufficient funds.
Required:
1. Prepare a bank reconciliation as of May 31. Be sure to complete the statement heading. Refer to the Labels and Amount Descriptions for the
exact wording of text entries. "Deduct:" or "Add" will automatically appear if it is required. Whenever there is more than one adjusting item in the
bank portion of the reconciliation or the general ledger portion of the bank reconciliation, enter in the order presented in the instructions. Enter
all amounts as positive numbers.
2. Journalize the necessary entries. The accounts have not been closed. Refer to the chart of accounts for the exact wording of the account titles.
CNOW journals do not use Wines for journal explanati Every line on a journal page is used for debit or credit entries. CNOW journals will
automatically indent a credit entry when a credit amount is entered.
3. If a balance sheet is prepared for Brentwood Bike Co. on May 31, what amount should be reported as cash?
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Answers
Bank Reconciliation Statement:
Bank reconciliation statements are prepared to find out the facts behind the differences between the cash account balance and the balance shown by the bank statement. Periodical bank reconciliation helps to prevent frauds and rectify any accounting errors and mistakes.
Calculation of Cash Account Balance of Brentwood Bike Co. as of May 31:
Cash account balance on May 1 $34,250Add: Deposits during May 140,300Less: Checks are written during May (138,880)Cash Account Balance as of May 31 $35,6701. Bank Reconciliation Statement of Bentwood Bike Co. as of May 31.
Balance as per cash account $35,670
Add:
Outstanding checks $6,440 Note collected by the bank with interest 5,250 Check returned 390 Check returned 120 12,200Less:
Deposit in transit 1,850 Check incorrectly charged by the bank 930 Correction of check to Adkins Co. 210 Bank service charges for May 30 Check from Jennings Co. returned 1325 (4,345)Balance as per Bank Statement $43,5252. Journal Entries to be recorded:
May 31 Cash $5,250 Interest Revenue $250Notes Receivable $5,000(Collection of note with interest by the bank) May 31 Accounts Payable $90 Cash $90(Rectification of payement to Adkins Co.) May 31 Bank Charges $30 Cash $30(Bank service charges for May) May 31 Accounts Receivable $1,325 Cash $1,325(Check from Jennings Co. returned)3. Computation of cash account balance should be reported in the balance sheet on May 31:
Cash Account Balance as of May 31 $35,670Add: Note collected by the bank with interest $5,250 5,250Less: Accounts Payable 90 Bank Charges 30 Accounts Receivable 1,325 (1,445)Cash account balance to be reported in balance sheet $39,475Learn more about Bank Reconciliation Statement at:
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find the area and circumference of a circle with a radius 5 m. use the value 3.14 for radius, and do not round your answers. Be sure to include the correct units in your answers.
Answers
Area and circumference of the circle are 78.5 m² and 31.4 m respectively.
What is a circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that, a circle have a radius 5 m
Area of a circle = π × radius²
Circumference = 2π×radius
Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²
Circumference = 3,14 × 2 × 5 = 31.4 m
Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.
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Brainliest if correct
Answers
Answer:
\(\frac{13}{15}\)
Step-by-step explanation:
\(\frac{2}{3}+\frac{1}{5}=\frac{10}{15}+\frac{3}{15}=\frac{13}{15}\)
Bazinga charges $16.50 per hour to dogsit. Complete the table and answer the questions below.
number of hours
charge in dollars
1
16.50
49.50
6
199.00
132.00
8
A Write an expression describing Bazinga's earnings for working h hours.
Answers
#A
No preliminary values so no y intercept
rate of change =16.5
Equation
y=mxy=16.5x#2
4-1/2=4.5hours
Put 4.5 in equation
y=16.5(4.5)y=74.25$#3
Let y be 115.5
Now
16.5x=115.5x=115.5/16.5x=7hoursAnswer:
A) c = 16.5h
B) $74.25
C) 7 hours
Step-by-step explanation:
Bazinga charges $16.50 per hour to dog sit.
Therefore, to calculate the total charge, multiply the number of hours by the charge per hour:
\(\large \begin{array}{| c | c |}\cline{1-2} \sf number\:of\:hours & \sf charge\:in\:dollars\\\cline{1-2} 1 & 16.50 \\\cline{1-2} 3 & 49.50 \\\cline{1-2} 6 & 99.00 \\\cline{1-2} 8 & 132.00 \\\cline{1-2}\end{array}\)
Part AAs explained above, to calculate the total charge, multiply the number of hours worked by the charge per hour of $16.50
⇒ c = 16.5h
where:
h = number of hours workedc = total charge (in dollars)Part BTo calculate how much Bazinga will earn if they dog sit for 4.5 hours, substitute h = 4.5 into the equation and solve for c:
⇒ c = 16.5h
⇒ c = 16.5(4.5)
⇒ c = $74.25
Part CTo calculate how long it will take Bazinga to earn $115.50, substitute c = 115.5 into the equation and solve for h:
⇒ c = 16.5h
⇒ 115.5 = 16.5h
⇒ h = 115.5 ÷ 16.5
⇒ h = 7 hours
A multiple choice test has 30 questions each with four options. What is the probability of getting all 30 questions correct by guessing? do not evaluate
Answers
Answer:
1 out 4^30
not very good odds!
Davis plots the points A(-6, 4), B(-1, 1) and C(3, 1) in a coordinate plane. Which statement about angle ABC is true?
Answers
Answer: B. Angle ABC is an obtuse angle
Step-by-step explanation:
what is 0.7283 written in standard form
Answers
Answer:
0.7283 written
in scientific is: 7.283×10^-1
Step-by-step explanation:
thats what i think but i'm not sure, hope you got it right sweetie!
Answer:
in scientific notation is 7.283×10^-1
This question only for JungKookLuver and JungKookLuver.... is this right...
Answers
Answer: Yes it is right.
Step-by-step explanation: Have a blessed day!
Answer: Yes, it’s correct!
Step-by-step explanation: Have A Great Day Bro! :)
The sum of ∠X and ∠Y is 90°. Which statement is TRUE?
∠X is acute and ∠Y is obtuse.
Both ∠X and ∠Y are right angles.
∠X is obtuse and ∠Y is acute.
Both ∠X and ∠Y are acute angle
Answers
Answer:
the answer is that both x and y are acute
The scale on a road map is 1 cm = 250 miles. If the distance between two cities on the map is 6.5 cm, what is the actual distance between the cities?
Answers
Answer:
1625
Step-by-step explanation:
multiply 6.5x250 since each cm is 250 and you have 6.5 cm
If x = 0, what is f(x)?
Answers
What is the value of x in the equation 3x - y = 18, when y= 27?
O 5
O 7
O45
O 63
Answers
Answer:
Step-by-step explanation:3x-y=18
y=27
Therefore 3x-(27)=18
3x=18+27..Nb when the 27 is now being added instead of subtracted.
3x=45
3x/3=45/3 Nb the 3 is now being divided instead of being multiplied.
Therefore X=15
PLS HELPPPP ! I need itttt
Answers
Answer:
x = 10
Step-by-step explanation:
Hailey Bell bought a flute for $150 and sold
it for $175. Find her percent of profit based
on the cost and on the selling price.
hondise totaling
Answers
Answer:
the profit percentage based on the cost & selling price is 16.67% and 14.29% respectively
Step-by-step explanation:
The computation of the profit percentage based on the cost & selling price is shown below:
The Profit percentage on the cost is
= (Sale price - cost price) ÷ (cost price) × 100
= ($175 - $150) ÷ ($150) × 100
= 16.67%
ANd, the profit percentage based on the selling price is
= (Sale price - cost price) ÷ (selling price) × 100
= ($175 - $150) ÷ ($175) × 100
= 14.29%
Hence, the profit percentage based on the cost & selling price is 16.67% and 14.29% respectively
.Which net matches this figure? A,B,C or D
please answer ill give brainliest
Answers
Answer:
C or D it’s hard to see if the bottom of the shape is a square or rectangle.
Step-by-step explanation:
If rectangle C if squared D
I would go with C
A marketing research firm asked people how many times they visited the mall last month
Answers
Answer:
Can you add more context?
Step-by-step explanation:
Identify the slope and y-intercept of the line below.
Slope=?
y-intercept=?
Answers
Answer:
Slope- y=1/4x-6
Y intercept= (0,-6)
Hope this helps!
In the number 725.78, how does the value of the 7 in the tenths place compare to the value of the 7 in the hundreds place?
Answers
Answer:
C. 1/1,000
Step-by-step explanation:
yes or no ?
factor and solve
x^2-4x=5
Answers
Let’s solve the equation x^2 - 4x = 5 by factoring:
First, we’ll move all the terms to one side of the equation:
x^2 - 4x - 5 = 0
Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:
(x - 5) (x + 1) = 0
Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:
x - 5 = 0 or x + 1 = 0
Solving each equation separately, we find that x = 5 or x = -1.
So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.
2 3/4 of 500grams in step by step calculator
Answers
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answers
The slope of the line represented by the graph is -3
How to determine the slope of the lineFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following readings (when the lines representing the rise and the run are drawn)
Length of rise = -9
Length of run = 3
The slope of the line is then calculated as
Slope = Length of rise/Length of run
Substitute the known values in the above equation, so, we have the following representation
Slope = -9/3
Evaluate the quotient
Slope = -3
Hence, the line has a slope of -3
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