Answer:
(a) The amount of interest you will save on this loan if you make the partial payment and don't purchase the additional serving supplies is $553.80.
(b) The amount you will save by purchasing the discounted serving supplies and not making the partial payment is $2,946.20.
Step-by-step explanation:
Note: This question is note complete. The complete question is therefore presented before answering the question as follows:
You are the owner of four Taco Bell restaurant locations. You have a business loan with Citizens Bank taken out 60 days ago that is due in 90 days. The amount of the loan is $50,000, and the rate is 9.5% using ordinary interest. You currently have some excess cash. You have the choice of sending Citizens $35,000 now as a partial payment on your loan or purchasing an additional $35,000 of serving supplies such as food containers, cups, and plastic dinnerware for your inventory at a special discount price that is "10% off" your normal cost of these items.
(a) How much interest will you save on this loan if you make the partial payment and don't purchase the additional serving supplies?
(b) How much will you save by purchasing the discounted serving supplies and not making the partial payment?
Explanation of the answers is now given as follows:
(a) How much interest will you save on this loan if you make the partial payment and don't purchase the additional serving supplies?
Since an ordinary interest is used, it implies that the total interest amount has to be calculated based on a 360-day year instead of a 365-day year. Therefore, the the interest saved can be calculated as follows:
I_$50K = PRT ........................ (1)
Where,
I_50K = Total Interest on the original $50,000 loan = ?
P = Principal = $50,000
R = interest rate = 9.5%
T = Number of days in the loan period / 360 = (60 + 90) / 360 = 150 / 360 = 0.416666666666667
Substituting the values into equation (1), we have:
I_$50K = $50,000 * 9.5% * 0.416666666666667
I_$50K = $1,979.17
Daily interest on $50,000 loan = I_$50K / Number of days in the loan period = $1,979.17 / 150 = $13.19
Also, we have:
I_PB = PRT ........................ (2)
Where,
I_PB = Innterest on principal balance = ?
P = Principal balance = $50,000 - $35,000 = $15,000
R = interest rate = 9.5%
T = Number of days remaining / 360 = 60 / 360 = 0.166666666666667
Substituting the values into equation (2), we have:
I_PB = $15,000 * 9.5% * 0.166666666666667
I_PB = $237.50
Daily interest on principal balance = I_PB / Number of days remaining the loan period = $237.50 / 60 = $3.96
Daily interest to save = Daily interest on $50,000 loan - Daily interest on principal balance = $13.19 - $3.96 = $9.23
Interest amount to save on the loan = Number of days remaining * Daily interest to save = 60 * $9.23 = $553.80
Therefore, the amount of interest you will save on this loan if you make the partial payment and don't purchase the additional serving supplies is $553.80.
(b) How much will you save by purchasing the discounted serving supplies and not making the partial payment?
This can be calculated as follows:
Discount receivable from purchasing serving supplies = Cost of serving supplies * Discount rate = $35,000 * 10% = $3,500
Amount to save by purchasing serving supplies = Discount receivable from purchasing serving supplies - Interest payable on loan for the remaining 60 days ................ (2)
Where;
Discount receivable from purchasing serving supplies = $3,500
Interest payable on loan for the remaining 60 days = Interest amount to save on the loan as calculated in part (a) = $553.80
Substituting the values into equation (2), we have:
Amount to save by purchasing serving supplies = $3,500 - $553.80 = $2,946.20
Therefore, the amount you will save by purchasing the discounted serving supplies and not making the partial payment is $2,946.20.
Solve the following systems of equations without graphing
5x + 10y = 30
-5x +15y = 20
Answer:
(2, 2)
Step-by-step explanation:
In this case, elimination would be the most efficient means of solving.
Simply, add the two equations, and you will be left with only one variable to solve for. (In this case y) You are then able to take your solution and plug it into an equation and solve for x, therefore giving you their intercept.\
5x + 10y = 30
+
-5x + 15y = 20
(x's cancel) 25y = 50
25y = 50
y = 2
5x + 10(2) = 30
5x + 20 = 30
5x = 10
x = 2
The solution to this equation is (2, 2)
how do i solve this −10 + x 1.5 = −5
Answer:
x= 10/3
Step-by-step explanation:
=> -10+x1.5= -5
=> x1.5= -5 +10
=> x1.5= 5
=> x= 5/1.5
=> x= 10/3
A store pays $72 for a crystal vase. The store marks up the price by 50%. What is the amount of the mark-up?
Answer:
$36.00 markup
Step-by-step explanation:
$72 x 50% (0.50) = $36.00
19. Addie does gymnastics for 3 hour
each day. How many days will it.
take her to do a total of 3 hours of
gymnastics?
A 3 days
B 4 days
c 6 days
D 8 days
Answer:
1 day
Step-by-step explanation:
none of the answers shown are correct,it is 1 day,is the question worded diffrently?
Which sides are congruent in the diagram below?
Answer: The first option (A)
Step-by-step explanation:
Answer:
It is A.
Step-by-step explanation:
AC=DF, AB=DE
What is the y-value when x = 0 in the function below? y=8x+7
Answer:
dfghjk
Step-by-step explanation:
lol
for brainiest:):):):):):)
Complete the triangle. Find all missing sides and angles. Round to the nearest tenth. Triangle DEF; DE=23 and FE=25
DF=?
Angle F=?
Angle E=?
help pls!!
Answer:
DF= 9.8
Angle F= 42.6 degrees
Angle E= 23.1 degrees
Step-by-step explanation:
so for the sides we can use the pythagorean theorem
23^2+b^2=25^2
23 squared is 529 and
25 squared is 625
529+b^2=625
subtract 529 from both sides
b^2=96
the square root of 96 is ~9.8
b=9.8
To find the angles you use sin, cos, or tan. Now that we know all three sides it doesn't matter which one you use so... pick your favorite.
sinf=23/25
f= ~66.9 degrees
tane= 23/25
e= ~23.1
NEED HELP ON THIS PLEASEEEEEEEEEEE
Answer: i am a 7th grade child and i dont know an idea of how to solve this..... just kidding but its b :) hopefully this will help u
Step-by-step explanation:
Please help!!
Concert tickets cost $25 each. A college student ordered some
tickets online. There was a service charge of $3 per ticket. The total came
to $252. How many tickets did the student order?
Find the 13th term of the geometric sequence 3, -15, 75, ...
the terms of geometric sequence are 3, -15, 75
given,
1st term (a) = 3
second term (t2)=-15
common ratio (r) = t2/t1
=-15/3
=-5
then
t13= ar^n-1
=3×(-5)^13-1
=3×244140625
=3×244140625
=732421875.
The [tex]13^{th}[/tex] term of the geometric sequence is - 732421875.
A geometric sequence is given ; 3 , -15 , 75....
We have to find the [tex]13^{th}[/tex] term of the geometric sequence.
What is the formula for calculation of nth term of geometric Sequence ?
The formula for calculation of nth term of geometric progression is [tex]a_{n}[/tex] = [tex]a_{1}[/tex] × [tex](r)^{n-1}[/tex] where r is the common ratio of geometric sequence.
Given geometric sequence is 3 , -15 , 75....
and
Common ratio is r.
i.e., r = -15 ÷ 3 = -5
∵ [tex]n^{th}[/tex] term of a geometric sequence is given by ;
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] × [tex](r)^{n-1}[/tex]
where [tex]a_{1}[/tex] is the first term.
So,
[tex]13^{th}[/tex] term of the geometric sequence will be ;
[tex]a_{13}[/tex] = 3 × [tex](-5)^{12}[/tex]
[tex]a_{13}[/tex] = - 732421875
Thus , the [tex]13^{th}[/tex] term of the geometric sequence is - 732421875.
To learn more about geometric series here:
brainly.com/question/3924955
#SPJ2
Two years ago the Delhi metro track's length was 200km long. The new track length increased by 20%.
What is the new track length?
0
0%
20%
40%
60%
80%
100%
120%
I WILL GIVE BRAINLIEST AND 80 POINTS IF YOU GET IT RIGHT
Answer:nice!
Step-by-step explanation:
PLS HELP ME ASAP PLS ILL MARK BRAIN
Answer:
Step-by-step explanation:
1). Let the circumference C and area A of the circle are proportional,
C ∝ A
C = kA
Here k = proportionality constant
k = [tex]\frac{C}{A}[/tex]
From the given table,
For C = 25 cm, A = 50 cm²
Then the value of k = [tex]\frac{25}{50}[/tex]
k = [tex]\frac{1}{2}[/tex]
For C = 50 cm, A = 201 cm²
k = [tex]\frac{50}{201}[/tex] ≈ [tex]\frac{1}{4}[/tex]
In both the cases proportionality constant is giving the different values.
Therefore, Circumference and Area of the circular objects are not proportional.
2). If A = [tex]\frac{1}{2}\times r\times C[/tex]
Then this equation will be true for all the values of r and C given in the table.
For r = 4 cm and C = 25 cm
A = [tex]\frac{1}{2}\times 4\times 25[/tex] = 50 cm²
For r = 8 cm and C = 50 cm
A = [tex]\frac{1}{2}\times 8\times 50[/tex]
A = 200 cm²
True for all values of 'r' and 'C'.
Answer:
665
Step-by-step explanation:
Can someone please help and make sure the answer is right :) PLZ!
Answer:
x = -4
Step-by-step explanation:
Angles are congruent because they are corresponding
x + 90 = 86
x = -4
of 450 town residents, 38% of them voted in a recent election for town council. how many voted in this election?
1) 152
2) 157
3) 164
4) 171
please hurry!!!
Answer:
171
Step-by-step explanation:
100%-> 450
38%-> 171
Eleven more than one third of a number is -1.
What is the number?
Answer: 1/3x+11=-1
Step-by-step explanation: I think this is an equation.
Answer:
--36
Step-by-step explanation:
Do the problem in reverse.
-1 - 11 = -12
-12 x 3 = -36
-36 / 3 = -12
-12 + 11 = -1
4.
The table shows values for a linear function
X=-2,-1,2,3
f(x)=-3,-1,5,7
which of these is a unit rate?
Answer:
$5 for a case of soda
Step-by-step explanation:
I hope this helps! :)
Please help with practice question
Write the following equation in slope-intercept
form: x + 5y = 30
Answer:
y = -1/5x + 6
Step-by-step explanation:
y=mx+b
hope this helps :)
HELP IM SO CONFUSED AGHHHH
Answer:
Ok... Move 630% to match up with 6.3. Move 63% to match up with 0.63. Next, move 6.3% to match up with 0.063...
I hope I'm not too late...
this is all due today
Answer:
1√5
Step-by-step explanation:
Combine like terms
Answer:
-[tex]\sqrt{5}[/tex], or about -2.24 in decimal form
Step-by-step explanation:
Add -3 and 2 and keep the [tex]\sqrt{5}[/tex]. -3+2 is -1, so the answer is -[tex]\sqrt{5}[/tex].
An element with a mass of 600 grams decays by 27.8% per minute. To the nearest
tenth of a minute, how long will it be until there are 2 grams of the element
remaining?
Answer:
17.5 minutes
Step-by-step explanation:
i just put 600 times 0.722^x=2 in desmos graph and got that
PLS HELP!!!
When a rocker is launched it climbs 50 feet for every 13 feet it travels horizontally. Draw a diagram to represent the situation. Then estimate the rocket's launch angle.
i need help on this home work
What is the measure of angle TMS? Pls explain your answer and I will mark brainliest!
Answer:
38 degrees
Step-by-step explanation:
If the line is tangent that means it forms a 90 degree angle. The angle measure of the inside of a triangle is equal to 180 degrees. If you add 52 and 90 you get 142. Subtract this amount from 180 and you will get the measure of m TMS
1. 10 X 2 = ?
2. 40 X 2 = ?
please help
Help with this it’s due today!.
Answer:
b=[tex]\sqrt{95}[/tex]
Step-by-step explanation:
a^2+b^2=c^2
7^2+b^2=12^2
49+b^2=144
b^2=95
b=[tex]\sqrt{95[/tex]
Find each difference. If you get stuck, consider drawing a number line diagram.
9 − 4
4 − 9
9 − ( - 4 )
- 9 − ( - 4 )
- 9 − 4
4 − ( - 9 )
- 4 − ( - 9 )
- 4 − 9
if one batch needs 3/4 cups of oil. and she want to make 5 batches. how much would she need?
Answer:
3.75 cups of oil or 3 and 3/4 cups of oil
Step-by-step explanation:
Simple
1 batch=0.75 cups of oil(3/4)
5 Batch=? (Multiply by 5)
5 Batches=3.75 cups (or 3 3/4) of oil
Answer:thanks for the points I needed them
Step-by-step explanation: