The amount saved by repaying the loan early is $831.25
The amount of discount received by purchasing supplies is $3,500
The net amount saved by purchasing supplies rather than repaying loan is $2,668.75
What is ordinary interest?
Ordinary interest is the interest computation that is based on 360-day a year count rather than 365-day year count, hence, in determining the amount saved by paying $35,000 out of the amount due to Citizens Bank, we time-apportion the interest for 90 days with respect to 360 days not 365 days.
Amount saved in interest=$35,000*9.5%*90/360
Amount saved in interest=$831.25
Using the $35,000 to purchase serving supplies, 10% discount is given off the normal cost of $35,000
Amount saved with discount=10%*$35,000
Amount saved with discount=$3,500
The difference between discount on supplies and interest saved=$3,500-$831.25
The difference between discount on supplies and interest saved=$ 2,668.75
The other factors to consider before making the final decisions include, the fact the loan is more important than the supplies because the loan relates to the firm's financing rather than operational needs of supplies
Secondly, the amount saved in interest may be more if another loan of $35,000 can be borrowed elsewhere with significant lower interest rates
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Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:
DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600
CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260
DEBIT: Cash Dividends: 1,000
CREDITS: Fees Earned: 75,000
DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.
Total Debits = 135,260; Total Credits = 135,260
You have prepared the Income Statement and the Statement of Retained Earnings, now it is time to prepare the Classified Balance Sheet.
What amount do you report for Total Current Assets? Specify as a whole number.
The current assets total of Adventure Travel. at December 31, 20XX is $44,300
What are current assets?
Current assets are short-term resources owned by Adventure Travel which are used in its daily operations such as the cash, accounts receivable as well the office supplies which are current assets until consumed
In other words, in a bid to determine current assets total, we sum up the cash, accounts receivable and the office supplies of the company since there are no other current assets aside the aforementioned ones.
Current assets total=cash+ accounts receivable+ office supplies
cash=$25,000
accounts receivable=$ 15,000
office supplies=$4,300
current assets total=$25,000+$15,000+$4,300
current assets total=$44,300
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help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Part (b)
[tex]f(3)=-3^3 + 4(3)^2-2(3)+2 \\ \\ =-27+36-6+2 \\ \\ =9-4 \\ \\ =\boxed{5}[/tex]
Part (c)
[tex]f(-2)=-(-2)^3+4(-2)^2-2(-2)+2 \\ \\ =16+16+4+2 \\ \\ =\boxed{38}[/tex]
We are being told that the answer is 5600 but can't seem to understand why?
Which is the best estimate of the product of 8 and 629?
4,800
5,600
6,000
7,000
The best estimate of the product of 8 and 629 is 5600
How to determine which is the best estimate of the product of 8 and 629?The statement is given as
The best estimate of the product of 8 and 629
Express as a product
So, we have
8 x 629
Round 629 to the smallest hundred greater than 629
So, we have
8 x 629 = 8 x 700
Evaluate the product
8 x 629 = 5600
Hence, the best estimate of the product of 8 and 629 is 5600
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The hypotenuse of an isosceles right triangle is √242 cm. Find the length of each equal side.
The length of each equal side of the isosceles right triangle will be 11 cm.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The hypotenuse of an isosceles right triangle is √242 cm.
In an isosceles right triangle, the two legs of the isosceles right triangle are congruent.
Let x be the other leg.
(√242)² = x² + x²
242 = 2x²
x² = 121
x = 11 cm
The length of each equal side of the isosceles right triangle will be 11 cm.
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pleaseeeeee help meee
Answer:
A) x = m - n - p
Step-by-step explanation:
m - x = n + p
subtract m from both sides
m - x (- m) = n + p (- m)
m cancels out on the left and stays on the right
- x = n + p - m
divide by -1 because this is the constant in front of x
visualize as -1*x if it helps (anything multiplied by 1 is that number)
(- x / -1) = (n / -1) + (p/ -1) - (m/ -1)
the positives become negative and the negatives become positive
x = -n - p + m or x = m - n - p
please help if possible
Answer: (5,2)
Step-by-step explanation:
5 + 2 = 7
5 = 2 + 3
A city received 48.24 inches of rain during a year. What was the average for each of the twelve months of the year? inches
Answer:
4.02 inches
Step-by-step explanation:
48.24/12= monthly average
=4.02 inches
What is the domain and range of f(x) = 21?
A Domain: All real numbers
Range: (21)
B
C Domain: (21)
Domain: All real numbers greater than or D
equal to 21.
Range: All real numbers
Range: All real numbers
Domain: All real numbers
Range: All real number greater than or
equal to 21
The domain is all real numbers and the range is 21 for the given function that is f(x) = 21.
According to the question, the domain can take only those values through which expression can be defined. And the range is the set of values for the given function.
Therefore, the function is: f(x) = 21
So, for this expression, the variable 'x' can take any real values from the interval of (-∞ , ∞).
And the range is 21 for the given function.
Hence the domain is (-∞ , ∞) and the range is 21.
What is domain and range in the function?
The domain of a function can be defined as the complete set of all the possible values for the dependent variables. Similarly, the range of the function can be expressed as the set of all the values which can be assumed by the expression of the function.
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Getaway Sports is a vacation destination for the serious sports fanatic.
Rajesh is in charge of equipment for the complex. The last shipment of ping-pong balls was normally distributed with a mean weight of 2.7 grams and a standard deviation of 0.1 gram. The 100-pound weights he orders from the manufacturer for the fitness center are normally distributed with mean weight 100.2 pounds and standard deviation 0.1 pound.
A) Which distribution has the larger standard deviation?
B) Which distribution is more dispersed? Explain.
The standard deviation of the fitness center is larger than the standard deviation of the last shipment
Which distribution has the larger standard deviation?The given parameters are:
Distribution: Normal distribution
The last shipment
Mean weight = 2.7 grams
Standard deviation = 0.1 gram.
Fitness center
Mean weight = 100.2 pounds
Standard deviation = 0.1 pound
In the above parameters, we can see that the fitness center has a larger mean weight than the last shipment, while they both have the same standard deviation
This means that the standard deviation of the fitness center is larger than the standard deviation of the last shipment
And so, the distribution of the fitness center is more dispersed
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can you help me in whats y=x+2
A circular mirror has a circumference of 50m inches. What is the
radius of the mirror? Show your work.
SOLUTION
Solve (v +8) ^4/5= 2
Answer:
(7/8 - 4/5)^2 = 9/
1600
= 0.005625
Can somebody please help me with question 2? Thanks! :)
Answer:72 bracelets
Step-by-step explanation:
24*3
72 bracelets
If she can make 4 bracelets with 12 beads, you divide to get three. Three times 24 is 72 bracelets
Which of the following properly describe slope select all that apply 
Rise/run
Run/rise
Ratio of the change in Y values rice for a segment of the graph to the corresponding chain with X values run
Y2-y1
————
X2-x1
X2-x1
———-
Y2-y1
In a mathematical statement, ____ usually means “multiplication.”
• base
• is
• of
• percent
In which quadrant or on which axis does the point lie(4,4)
Answer: second quadrant
Step-by-step explanation:
Help me please! It is algebra 2
The domain of the quadratic equation is all non-negative real numbers.
How to analyze and interpret a quadratic equation according to a physical phenomenon
The picture indicates the case of the launch of an object from the top of a building. The height of the object (f(x)), in feet, as a function of time, (x), in seconds. Both height and time are represented by non-negative real numbers and hence the following solutions do not make sense in the context of problem:
x < 0x > 0, f(x) < 0Now we proceed to fill the blanks in the four paragraphs:
f(- 2) = 0, meaning that - 2 second after the object was launched, the object was 0 feet above the ground. This interpretation does NOT make sense in the context of the problem.
f(0.5) = 100, meaning that 0.5 seconds after the object was launched, the object was 100 feet above the ground. This interpretation make sense in the context of the problem.
f(6) = - 224, meaning that 6 seconds after the object was launched, the object was - 224 feet above the ground. This interpretation does NOT make sense in the context of the problem.
Based on the observation above, it is clear that an approximate domain for the function is all non-negative real numbers.
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After a translation the image of A(-6,-2) is B(-4,-4). What is the image of the point C(3,-1) after this translation?
A. (-5,1)
B.(5,-3)
C.(5,1)
D.(-5,-3)
===========================================================
Explanation:
The preimage (-6,-2) shifts to the image point (-4,-4)
Focus on the x coordinates. The jump from -6 to -4 is an increase of 2. So we have x become x+2
Now focus on the y coordinates. The jump from -2 to -4 is -2, so y becomes y-2
The translation rule we use is [tex](\text{x},\text{y})\to (\text{x}+2,\text{y}-2)[/tex] which shifts the point 2 units to the right and 2 units down.
-----------------
Let's apply this rule to the point (3,-1)
[tex](\text{x},\text{y})\to (\text{x}+2,\text{y}-2)\\\\(3,-1)\to (3+2,-1-2)\\\\(3,-1)\to \boldsymbol{(5,-3)}\\\\[/tex]
The preimage (3,-1) shifts to the image (5, -3)
Divide 2/7 by 1.5
5.25
1/2
4/21
6/14
The answer would be 4/21 if divided 2/7 by 1.5 which is the correct option (C).
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have to determine the divide 2/7 by 1.5
⇒ 2/7 ÷ 1.5
Here 1.5 = 3/2
⇒ 2/7 ÷ 3/2
Apply the division operation between both term
⇒ (2/7)/(3/2)
Reciprocal the terms, we get
⇒ (2/7)×(2/3)
⇒ (2×2)/(7×3)
⇒ 4/21
Therefore, the answer would be 4/21
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Cindy gave away 12% of her lollipop and is now left with 220 lollipops. Calculate the number of lollipops Cindy had ?
Answer:
The answer would be 250.
Step-by-step explanation:
Cindy started off with 250 lollipops, gave away 30 (which is 12% of 250) and stayed with 220.
250-30=220
The line passing through the origin and parallel to the line passing through the points (8, 3) and (10, 8).
The equation of a line passing through the origin and parallel to the line passing through the points (8, 3) and (10, 8) is 2y - 5x = 0.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let's suppose the equation of that line as the slope-intercept form is
y = mx + c
Where m is the slope while c is the y-intercept.
Now this line is parallel to a line that passes through points (8, 3) and
(10, 8) thus meaning the slope of both lines must be the same.
So,
Slope associated with points (8, 3) and (10, 8) ⇒
m = difference in y's coordinate / difference in x's coordinate
m = (8 - 3)/(10 - 3)
m = 5/7
So our equation will be y = (5/7)x + c
Since it is passing through the origin or (0,0) so it will satisfy the coordinate.
Therefore,
0 = (5/7)0 + c ⇒ c = 0
It means y = (5/7)x ⇒ 7y - 5x = 0 will be the equation.
Hence "The equation of a line passing through the origin and parallel to the line passing through the points (8, 3) and (10, 8) is 2y - 5x = 0".
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The given question is an incomplete complete question as follows;
The equation of a line passing through the origin and parallel to the line passing through the points (8, 3) and (10, 8).
How would I solve this limit problem? The answer isn’t zero though I put that and it’s wrong?
0 is correct, though...
[tex]\dfrac{\frac1x - \frac13}{x + 3}[/tex]
is continuous at [tex]x=3[/tex], so
[tex]\displaystyle \lim_{x\to3} \frac{\frac1x - \frac13}{x + 3} = \frac{\frac13 - \frac13}{\frac13 + 3} = \frac0{\frac{10}3} = 0[/tex]
What was probably intended was the limit
[tex]\displaystyle \lim_{x\to3} \frac{\frac1x - \frac13}{x - 3}[/tex]
which requires a little more finesse because the function is not continuous at [tex]x=3[/tex].
Rewrite it as
[tex]\dfrac{\frac1x - \frac13}{x - 3} = \dfrac{3 - x}{3x(x-3)} = -\dfrac{x-3}{3x(x-3)}[/tex]
When [tex]x\neq3[/tex], we can cancel [tex]x-3[/tex] so that
[tex]\displaystyle \lim_{x\to3} \frac{\frac1x-\frac13}{x-3} = \lim_{x\to3} -\frac1{3x} = -\frac1{3\times3} = -\frac19[/tex]
Estimate the product
306
×
673
by first rounding each number to the nearest hundred.
Enter your answer in the box.
Answer: Question: 306 × 673 = 205,938 Estimate: 300 × 700 = 210,000
See more below
Step-by-step explanation:
306 round to the nearest hundred is 300 because 306 ≥ 300
And 673 rounds to 700 because its to the nearest hundred. Here is the problem.
306
× 673
---------------
205,938
So, 205, 938 is underestimate to 210,000
Click down here for more ideas
https://www.toppr.com/ask/en-us/question/estimate-the-product-475times-225-rounding-off-each-number-to-the-nearest-hundred/
The estimated the product of 306×673 by first rounding each number to the nearest hundred is: the estimated product of 306 and 673 is 210000.
Given: 306 × 673 = 205,938
Estimate: 300 × 700 = 210,000
306 round to the nearest hundred is 300 because 306 ≥ 300
And 673 rounds to 700 because its to the nearest hundred.
Now, we have,
306
× 673
---------------
205,938
Now, multiply the rounded numbers:
300 * 700 = 210000
So, the estimated product of 306 and 673 is 210000.
So, We have,
205, 938 is underestimate to 210,000.
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Suppose we spin the following spinner with the first spin giving the numerator and the second spin giving the denominator of a fraction. What is the probability that the fraction will be less than 9/8 ? The spinner is 4 equal parts of 6,7,8,9.
Answer:6,7,8,9x4
Step-by-step explanation:
the purpose is to solve th equation5789x4
A company employs 36 men and 9 ladies, what is the ratio of men to
ladies?
Answer: 4:1
Step-by-step explanation:
36 men: 9 ladies
36/9=
4/1 ==> 4 men: 1 lady
4:1
I JUST NEED NUMBER 9, 11, and 12 PLEASE LABEL WHICH NUMBER:))
Answer:
b, c, a
Step-by-step explanation:
the 6th term of a GP is -2 and its first term is 18 . what is the common ratio
Given conditions:
6th term (T6) = -2
first term (a) = 18
n = 6, r = ?
Formula for finding the nth term of a GP:
[tex]tn = a {r}^{n - 1} [/tex]
Where:
T = the given value for the number of term(s)
n = the given number of term
a = The first term
r = The common ratio
Replacing for the values:
[tex] - 2 = 18 {r}^{6 - 1} \\ - 2 = 18 {r}^{5} [/tex]
Dividing both sides by 18, we have:
[tex] {r}^{5} = \frac{ - 2}{18} [/tex]
Now, we have to fifth root both sides to find the value of r.
[tex] \sqrt[5]{ {r}^{5} } = \sqrt[5]{ \frac{ - 2}{18} } [/tex]
Therefore:
Common ratio, [tex]r = -0.0638165752[/tex] [tex]≈ -0.064[/tex] to 3 decimal places.
I hope this helpsthe width of a rectangle is 1/2 of its lengh what are the sides of the rectangle if its perminiter is 63 in. Please put the right answer and not the wrong answer i will also give brainly to someone if you do it correctly
I need the answer which includes m∠ == and the reason
The value of m<DEC is given as 35 degrees
Angle on a Straight lineIn the given figure, to find the missing value of angle DEC, we can easily relate this to angle on a straight line.
The law states that the sum of all angles on a straight line are equal to 180 degrees.
[tex]m < CEF + m < DEC = 180^0\\145^0 + m < DEC = 180^0\\m < DEC = 180^0 - 145^0\\m < DEC = 35^0[/tex]
The value of the angle m<DEC is equal to 35 degrees.
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Find the following given the function f(x)=
Answer:
The function f defined by the formula f(x) = 2x +1 can be expressed as: f(4) = 9; f(-5) = - 9, f(0) = 1,
The function of a function defines and explains the relationship between two different variables. From the given information, we are meant to replace x with the following given options and solve for the value of x.
f(4) = 2(4) + 1
f(4) = 8 + 1
f(4) = 9
f(-5) = 2(-5) + 1
f(-5) = -10 + 1
f(-5) = - 9
f(0) = 2(0) + 1
f(0) = 0 + 1
f(0) = 1
Step-by-step explanation:
Basically first you have to check what the f(x) fits into what category.
The picture shows different equations based on what the f(x) is.
In this case, f(x) is 7. So first check is 7 greater than 5, YES. But check with the next one too. Is 7 less than or equal to 5, NOPE
So your equation your going to be substituting with is x squared-x
Little bit stuck still? Here:
What is 7 to the power of 2 is 7x7=49
Then, 49-7=42
42 is your answer. If this is for RSM ENTER ONLY 42 INTO THE PORTAL.
I'm a student too and had this question too.
