Janet Foster bought a computer and printer at Computerland. The printer had a $880 list price with a $100 trade discount and 2/10, n/30 terms. The computer had a $4,000 list price with a 25% trade discount but no cash discount. On the computer, Computerland offered Janet the choice of (1) paying $155 per month for 17 months with the 18th payment paying the remainder of the balance or (2) paying 7% interest for 18 months in equal payments.
a. Assume Janet could borrow the money for the printer at 7% to take advantage of the cash discount. How much would Janet save? (Use 360 days a year. Round your answer to the nearest cent.)
Part A (Printer): $12.63
Part B (Computer): $180.83
Step-By-Step
A:
"take advantage of the cash discount" Since Janet is taking the cash discount we need to use the terms.
2/10 => Means if paid in 10 days apply a 2% discount
($880 - $100) = $780 (This is because of the trade discount stated also)
$780 * 0.98 = $764.40
(Note: 0.98 is the term "2/10" it is the 2% discount, represented as (1-0.02) )
$764.40 * 0.07 * (20/360) = $2.9726666 (Note: Here 20/360, 20 represents the rest of the days left in the term agreement)
No Discounts: ($780 - 764.40) = $15.60
Discounts: $2.9726666
How much would Janet save?
$15.60 - $2.9726666 = $12.62733 = $12.63
===============================================
Question has a part B:
"On the computer, what is the difference in the final payment between choices 1 and 2?"
Note: Computer Price w/ Trade Discount => $4,000 - ($4,000*0.25) = $3000
(1) "$155 per month for 17 months" => $155 × 17 = $2,635
Last payment $3,000 – $2,635 = $365
(2)-------------- Note: 18 Months = 1.5 Years
$3,000 × 0.07× 1.5 = $315
$3,000 + $315 = ($3,315) / 18 Months = $184.1666
Difference in the final payment?
$365 - $184.1666 = $180.8334 = $180.83
A. Janet would save $12.63
B. Computer: $180.83
How much would janet save ?Since Janet is taking the cash discount we need to use the terms.
"take advantage of the cash discount"
2/10 => Means if paid in 10 days apply a 2% discount
($880 - $100) = $780 (This is because of the trade discount stated also)
$780 * 0.98 = $764.40
[0.98 is the term "2/10" it is the 2% discount, represented as (1-0.02)]
$764.40 * 0.07 * (20/360) = $2.9726666 (Note: Here 20/360, 20 represents the rest of the days left in the term agreement)
No Discounts: ($780 - 764.40) = $15.60
Discounts: $2.9726666
Janet would save = $15.60 - $2.9726666 = $12.62733 = $12.63
On the computer, what is the difference in the final payment between choices 1 and 2?Computer Price w/ Trade Discount => $4,000 - ($4,000*0.25) = $3000
(1) "$155 per month for 17 months" => $155 × 17 = $2,635
Last payment $3,000 – $2,635 = $365
(2) 18 Months = 1.5 Years
$3,000 × 0.07× 1.5 = $315
$3,000 + $315 = ($3,315) / 18 Months = $184.1666
Difference in the final payment= $365 - $184.1666 = $180.8334 = $180.83
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Can someone plz help. Will mark brainliest
Answer:
3. 73
4. 1500
Step-by-step explanation:
3. 7*9 = 63, 2*5 = 10, 63+10 = 73
4. 40*30 = 1200, 20*30 = 600 divided by 2 = 300, 1200+300 = 1500
Part A
Monica estimates the recipe makes about 5 cups of fruit salad,
Which explanation describes whether Monica's estimate is reasonable?
Not reasonable. Four fractions cannot equal more than 4 cups.
Not reasonable. The whole numbers add up to 3 so the total sum
cannot be 5 cups
Reasonable. The grapes and apples is about 2 cups and pears and
oranges is exactly 3 cups.
Reasonable. The pears and apples is about 3 cups and the grapes
and oranges is exactly 2 cups.
PLAY
(0)
Part B
What is the exact amount of fruit salad in cups?
cups
o
Enter your answer as a fraction or a mixed number.
Answer:
Part A: Choice 3) Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.
Part B: Exactly 4 11/12 cups
almost equal to 5 cups
Step-by-step explanation:
The missing part of the question is :
2 1/2 cups of pears. 2/3 cup of grapes 1 1/4 cups of apples 1/2 of orange slices .
Pears + apples
2 1/2+1 1/4 =
5/2 + 5/4
= 10+5/4
= 15/4
= 3 3/4 cups
Reasonable. The pears and apples is about 3 cups and the grapes
and oranges is exactly 2 cups. This statement is wrong.
Grapes and oranges
2/3 + 1/2
= 4+3/6
=7/6
=1 1/6 cups
grapes and apples
2/3 cup of grapes 1 1/4 cups of apples
2/3 + 5/4
= 8+15/12
= 23/12
= 1 11/12 cups
pears and oranges
2 1/2 cups +1/2 of orange slices
3 cups
Reasonable. The grapes and apples is about 2 cups and pears and
oranges is exactly 3 cups. this statement is true as shown above.
N.B the answer may vary due to the different measurements given in the missing part of the question.
Part B:
grapes and apples + pears and oranges
1 11/12 cups +3 cups
= 23/12+ 36/12
= 59/12
= 4 11/12 cups
The Chemistry Club is experimenting with different mixtures of water with a
certain chemical to make fake snow.
To make each mixture, the students start with some amount of water, and then add
1/7 of that amount of the chemical, and then 9 more grams of the chemical. The
chemical is expensive, so there can't be more than a certain number of grams of the
chemical in any one mixture. How much water can you start with so that you don't
use up too much of the chemical?
a. 1/7x + 9 < 26.25
b. 9x + 1/7 s 26.25
26.25x + 9 = 1/7
C.
d. 1/7x + 26.25 39
Answer:
Suppose we have with x, the amount of water we use (in grams).
1/7 of this will be the chemical, then we have (1/7)*x grams of chemical.
Then we add another 9g of the chemical, then we have in total:
(1/7)*x + 9g of the chemical.
And we know that the chemical is expensive, so there can't be more than a given number of grams of the chemical, because of the phrase:
"...There can't be more than..."
We will have a relation like:
(1/7)*x + 9g ≤ something.
By looking at the options, we can see that "something" = 26.25 grams
then we will have the inequality:
(1/7)*x + 9g ≤ 26.25 g
Now we can solve this for x, the amount of water used:
(1/7)*x ≤ 26.25 g - 9g
x ≤ (26.25 g - 9g)*7
x ≤ 120.75 grams
This means that the maximum amount of water we can use is 120.75 grams of water.
What is 56048 divided by 543
Step-by-step explanation:
56048 divided by 543= 103.219153
Answer:
its 103.2
Step-by-step explanation:
Impossible question please help
Answer:
x axis comes first before the y
Answer:
???? :( Its really impossible question for me
Three functions are shown below.
f(x) = 3x2 - 4x - 3
g(x) = 5x + 2
h(x) = 3x2 + 4x-1
What is f(x) + g(x) + h(x)?
A. "6x2 - 5x - 2
OB. "6x2 - 13x - 4
O C. -6x2 - 14x - 6
OD. 9x2 - x + 2
f(x) = 3x2 - 4x - 3
g(x) = 5x + 2
h(x) = 3x2 + 4x-
Consider the following graph.
The x y coordinate plane is given. The curve begins at (0, 5) goes down and right becoming less steep, changes direction at (1, 2) goes up and right becoming more steep, goes through the approximate point (2, 3.1), goes up and right becoming less steep, changes directions at (3, 4), goes down and right becoming more steep, sharply changes direction at (4, 1), goes up and right becoming less steep passing through the approximate point (5, 4.2) and ends at (6, 6).
(a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)
(b) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.)
(c) Find the open interval(s) on which f is concave upward. (Enter your answer using interval notation.)
(d) Find the interval(s) on which f is concave downward. (Enter your answer using interval notation.)
(e) Find the coordinates of the point(s) of inflection.
(x, y) = ( )
a)Function is increasing in intervals (1,3) and (4,6).
b)Function is decreasing in intervals (0,1) and (3,4).
c)Graph is concave upward in the interval (0,2) and (3,5).
d)Graph is concave downward in the interval (3,4).
e)Points of inflection are x=3 and x=5.
Let us make the graph of the given function. In the graph, We have connected points linearly, please consider it as a curve.
What is the point of inflection?The point of inflection or inflection point is a point in which the concavity of the function changes.
Therefore, From the attached graph, we can see that:
a)Function is increasing in intervals (1,3) and (4,6).
b)Function is decreasing in intervals (0,1) and (3,4).
c)Graph is concave upward in the interval (0,2) and (3,5).
d)Graph is concave downward in the interval (3,4).
e)Points of inflection are x=3 and x=5.
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Answer:
a.(1,3)U(4,6)
b.(0,1)U(3,4)
c.(0,2)
d.2,6
e. 2,3
Step-by-step explanation:
Looking at graph and finding intervals.
A house that you are interested in has the following facts listed online: Price = $214,000 APR = 1.15% Down Payment must be 9.5% Loan time frame is 35 years What is the amount of the loan you must take out? What monthly price do you have to pay on this house? What is the total price of this house (including interest and the down payment)?
9514 1404 393
Answer:
$20,330 down$193,670 loan$560.35 monthly$255,677 total priceStep-by-step explanation:
a) The down payment is 9.5% of the price, so is ...
down = 0.095×$214,000 = $20,330
__
b) The amount of the loan is the remaining value after the down payment is made:
$214,000 -20,330 = $193,670
__
c) The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
payment on Principal P at interest rate r for t years
A = $193,670(0.0115/12)/(1 -(1 +0.0115/12)^(-12·35)) ≈ $560.35
__
d) The total cost of the house is ...
down + (monthly payment)×(number of months)
= $20,330 + $560.35×420
= $255,677
Order the sides of each triangle from shortest to longest.
Answer:
FG, GH, FH
Step-by-step explanation:
H=180-100-50=30°
Since H is the smallest degree, the side opposite it (FG) is the shortest length.
Since F is the middle degree, the side opposite it (GH) would be the middle length.
Since G is the highest degree, the side opposite it (FH) would be the longest.
FG, GH, FH
HELP ASAP WILL MARK BRAINLIEST!!!!
Answer:
(-14,0)
Step-by-step explanation:
lets find the equation of the line first
so lets take two points (-74,18) and (-54,12)
so slope is rise/run= -6/ 20 or -3/10
plugging into the equation
y= mx+b
we get
12= 5.4*3+b
12= 16.2+b
b= -4.2
so equation is y= -.3x-4.2
simplyfying we get
10y= -3x-42
3x= -10y-42
x= -10y-14
so we see that the x intercept is (-14,0)
if my answer helps please mark as brainliest.
Answer:
-14,0
Step-by-step explanation:
3455/72
answer pls.....
Answer:
3455/72
=47.9861111111
Step-by-step explanation:
Investigate the patern “13/1 family” of fractions. Use plenty of space to show what you find.
Answer:
2/1 of a family
Step-by-step explanation:
Answer asp
__% of 75 is 25
33% of 75 is 25... Hope that helps!!
A classroom is 32 1/2 feet long, 30 feet wide, and 7 1/2 feet high what is the volume
Answer:
6000
Step-by-step explanation:
Good afternoon or morning! Need some help with geometry.
Please only answer if you know the answer, the comment section is right below. Please don't waste my points!
Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.
The image is down below. Show work! Thanks!
Answer:
x = 20.2Step-by-step explanation:
sin = opposite / hypotenuse
sin 63° = 18/xx = 18 / sin 63°x = 20.2from a class of 12 students, 4 will be chosen to do a job. how many different groups could be chosen?
Answer:
3
Step-by-step explanation:
12 / 4 = 3
Which expression shows 50 4 30 written as a product of two factors
10(5 + 3)
6(10 + 7)
6(1043)
10(5 + 2)
Answer:
The answers is 10(5 + 3)
g ÷ 7 = 11 pleasse help
Answer:
the answer is 77
Step-by-step explanation:
g/7=11
to find g you do inverse operations
7x11=77
have a great day :D
Answer:
77
......................
A roller coaster is being designed that starts at (0,22) and ends at (19,2),
Along the ride there is a relative minimum at (5,6) and a relative
maximum at (10,18). The roller coaster is almost finished but one
section is missing. Find the correct function that completes the roller
coaster so that the ride is smooth and continuous.
Answer:
The function is, f(x) = 6·sin((π/5)(x + 3π/2)) + 12
Step-by-step explanation:
The general form of equation of a roller coaster is given as follows;
y = A·sin(B(x - C)) + D
Where;
A = The amplitude = (18 - 6)/2 = 6
D = The vertical shift = 12
One revolution = 10 unit
∴2·π = 10 unit
Therefore, 10 = 2·π/B
B = 2·π/10
The phase shift = 3·π/2
Therefore, we have the function as follows;
f(x) = 6·sin(2·π/10(x + 3π/2)) + 12 = 6·sin((π/5)(x + 3π/2)) + 12
I need help please help
Answer:
The answer should be C
Step-by-step explanation:
I hope that it helps you!
If C is the incenter of ∆AMD, m∠A M C = 3 x + 6 and m∠ DMC= 8 x − 49.
find ∠ M A D , find m∠ADM and find m∠ADC
Answer:
3x+6=8x-49,
-6. -6
__________
3x=8x-55
-8x. -8x
________
-5x=-55
x=11,
3(11)+6=39
8(11)-49=39
Step-by-step explanation:
What is the median of the data set?
9
8.5
8
10
Answer:
8.5
Step-by-step explanation:
When you write out the data set, it looks like this:
5, 8, 8, 8, 8, 9, 9, 9, 10, 10
The median means the exact middle of the data set. In this case, it falls between the 8 and the 9, so the middle would be 8.5, so that's the median of the set. I hope this helps :)
Answer:
The median is 8.5
Step-by-step explanation:
The median is the middle number in a data set. For example, if you had a data set:
2, 2, 3, 4, 4
You would go forwards and backwards in the set until you found the middle number, which is 3. 3 would be the median.
However, if there is no middle number (there are an even number of points in the set), you add the two remaining numbers and divide it by two.
For example, if the final two numbers were:
2, 6
You would add 2 and 6 to get 8, and divide by 2, and you get the median 4.
In this set, we have
5, 8, 8, 8, 8, 9, 9, 9, 10, 10.
The final two numbers are 8 and 9, so you add 8+9=17, divided by 2 = 8.5.
Evan adds 2/1/4 quarts of apple juice to some grape juice to make 5/1/2 quarts of fruit punch. Part A: write an equation to find the amount of grape juice g in the punch. Part B: How much grape juice is in the punch?
Answer:
3 1/4 qt.
Step-by-step explanation:
5 1/2 - 2 1/4 = 3 1/4
What is the surface area of the triangular prism?
A)
175 cm
B)
196 cm?
C)
216 cm?
D)
222 cm?
Answer:
222 cm²
Step-by-step explanation:
Each triangle's area is 6 cm², each side rectangle's area is 75 cm², and the bottom rectangle's area is 60 cm². Since there are two triangles, two side rectangle's, and one bottom rectangle, you would add all of their areas together:
6 + 6 + 75 + 75 + 60 leads you to the answer of 222 cm².
What is the product of 2 and 3/6 write another expression that is equal to the product of 2 3/6
Answer:
The product of 2 and 3/6 is 1
Another expression equal to 2 x 3/6 is 4 x 1/4
Step-by-step explanation:
To find the product of 2 and 3/6, you should first simply 3/6. Find the GCM of 3 and 6. The GCM should be 3, so you divide each side by 3. Then you multiply 1/2 and 2 which is 1. To find another product of 2 x 3/6, you could just another fraction for 1/2.
Hope this helps
The another expression that is equal to the product of 2 & 3/6 is : 3 x 9/27.
What is function?A function is a relation between a dependent and independent variable.
Mathematically, we can write → y = f(x) = ax + b.
Given is the the product of 2 and 3/6.
We can write -
2 x 3/6 = 1
We can write another expression that is equal to the product of 2 & 3/6 as -
3 x 9/27
Therefore, the another expression that is equal to the product of 2 & 3/6 is : 3 x 9/27.
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I need help and NO LINKS
Please help fast....
Answer:
Step-by-step explanation:
Answer:
Volume = 1.25
Step-by-step explanation:
Length = 5 * 1/2 = 2.5
Width = 1 * 1/2 = .5
Height = 2 * 1/2 = 1
[tex]2.5 * .5 * 1 = 1.25[/tex]
Will give brainiest if right
Two trains started moving at the same time, train A from Boston to
New York, and train B from New York to Boston. The distance
between the train stations in New York and Boston is 240 miles. The
average speed of train A is 60 mph, which is 3/4 of the average
speed of train B.
How soon will the trains meet?
Your answer would be after 1.7 hours
*PLEASE HELP*
The equations of lines K,P,and M are given below
K: x+2y=6
P: 6x + 3y=12
M: -x+ 2y=10
which statement is true
*ANSWERS ARE IN THE PICTURE*
Answer:
M is perpendicular to KStep-by-step explanation:
Given the equations of the following line
K: x+2y=6
P: 6x + 3y=12
M: -x+ 2y=10
First we need to get the slpe of each line as shown;
For K:
K: x+2y=6
Rewrite in standard form;
2y = -x + 6
y = -1/2 x + 6/2
y = -1/2 + 3
Slope of K is -1/2
For P:
P: 6x + 3y=12
Rewrite;
3y = -6x + 12
y = -6/3 x + 12/3
y = -2x + 4
Slope of P is 2
For M;
M: -x+ 2y=10
Rewrite
2y = x + 10
y = 1/2 x + 10/2
y = 1/2 x + 5
Slope of M is 1/2
Taking the product of slope K and P
Mk * Mp = -1/2 * 2
Mk * Mp = -1
Since the slope of K and P is -1, hence line M and line P are perpendicular