A debt payment of $5,500 is due in 27 months. If money is
worth 8.4% p.a. compounded quarterly, what is the equivalent
payment? Now? 15 months? 27 months? 36 months?
Answers
Step-by-step explanation:
A=P(1+0.084) ^n;
=5500(1
The payment now is $4561.7450, 15 months later $5061.28, 27 months later $5500.00595 and 36 months later $5853.83.
Interest rate = 8.4/4 =2.1% = 0.021 every 3 months
The debt of $5500 is due in 27 months.
What is the formula to find compound interest?The formula to find the compound interest is [tex]FV=PV(1+r)^{n}[/tex].
Now, [tex]PV=FV(1+r)^{-n}[/tex].
The payment now:
5500*(1.021)^-9 = $4561.7450
So if $5500 is due in 27 months its current value is $4561.7450.
( b) 15 months from now? 5 quarters
FV(15months)= 4561.75*1.021^5
4561.75*1.021^5 = $5061.28
(c) 27 months from now? 9 quarters
FV(15 months)= $5500 that was given in the question
Verification:
FV(27months)=4561.75*1.021^9
4561.75*1.021^9 = $5500.00595
(d) 36 months from now? 12 quarters
FV(36months)=4561.75*1.021^12
4561.75*1.021^12 = $5853.83
Therefore, the payment now is $4561.7450, 15 months later $5061.28, 27 months later $5500.00595 and 36 months later $5853.83.
To learn more about compound interest visit:
https://brainly.com/question/14295570.
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Related Questions
what is the Average of -8, -1, -3
Answers
Answer:
[tex] = \frac{ - 8 - 1 - 3}{3} \\ = \frac{ - 12}{3} \\ = - 4[/tex]
What is organic chemistry??
Answers
Organic chemistry is the study of the structure, properties, composition, reactions, and preparation of carbon-containing compounds. Most organic compounds contain carbon and hydrogen, but they may also include any number of other elements (e.g., nitrogen, oxygen, halogens, phosphorus, silicon, sulfur).
The perimeter of a rectangular painting is 344 centimeters. If the width of the painting is 79 centimeters, what is its width?
Answers
Answer:
the equation is 2(l+w) so we do 2(93+w)=344 getting the answer of 79
Step-by-step explanation:
i think im 100 percent correct i took the test on flvs if I'm wrong just let me know
Given that x= -3, what is the value of 2ײ - x + 5?
Answers
Answer:
26
Step-by-step explanation:
2(9)-(-3)+5
2(9)+3+5
18+8
26
Answer:
26
Step-by-step explanation:
2x^2 -x+5
x=-3
2(-3)^2 -(-3)+5
2(9)-(-3)+5
18-(-3)+5
negative multiplied by negative is positive so you have
18+3+5= 26
Have a nice day :)
find the x-coordinate of the vertex of the function given below. y = x^2 + 12x + 21
Answers
Answer:
(-2,13;-0,02)
and
(-9,87;-0,02)
Keelie has a triangular-shaped card. The lengths of its sides are 4.4 cm, 5.5 cm, and 6.6 cm. Is the card a right triangle?
Answers
Answer:
No
Step-by-step explanation:
We can use the Pytaghorean theorem to verify it
4.4^2 + 5.5^2 = 6.6^2
19.36 + 30.25 = 43.56
49.61 = 43.56 (false)
Find the median of the data. 43, 37, 49, 51, 56, 40, 44, 50, 36
Answers
Answer:
Median = 44
Step-by-step explanation:
Arrange the data in ascending order:
36, 37, 40, 43, 44, 49, 50 , 51, 56.
Choose the number in the middle.
Median = 44
An airplane flies due north from ikeja airport for 500km.It then flies on a bearing of 060 from a further distance of 300km before over flying a road junction. Calculate A. Distance of airplane from ikeja airport when it was directly above the road junction B. The bearing of the airplane from ikeja airport at this instant
Answers
Answer:
482 km
63.94 degrees
Step-by-step explanation:
to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.
Cosine rule states that
C = [tex]\sqrt{A^{2} + B^{2} -2AB cos(c) }[/tex]
where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060
solving now, we have
C = [tex]\sqrt{500^{2} + 300^{2} -2 * 500 * 300 cos(60) }[/tex]
C = [tex]\sqrt{250000 + 90000 - [215000 cos(60) }][/tex]
C = [tex]\sqrt{340000 - [215000 * 0.5 }][/tex]
C = [tex]\sqrt{340000 - [107500 }][/tex]
C =[tex]\sqrt{232500}[/tex]
C = 482 km
The bearing can be gotten by using the Sine Rule.
[tex]\frac{sina}{A}[/tex] = [tex]\frac{sinc}{C}[/tex]
sina/500 = sin60/482
482 sina = 500 sin60
sina = [tex]\frac{500 sin60}{482}[/tex]
sina = 0.8983
a = sin^-1(0.8983)
a = 63.94 degrees
Military radar and missile detection systems are designed to warn a country of an enemy attack. A reliability question is whether a detection system will be able to identify an attack and issue a warning. Assume that a particular detection system has a probability of detecting a missile attack. Use the binomial probability distribution to answer the following questions. a. What is the probability that a single detection system will detect an attack
Answers
Answer:
0.8 is the probability that a single detection system will detect a missile attack.
Step-by-step explanation:
20 POINTS!!!!
Recall that the multiplicative inverse of a number a is the number b such that ab = 1. For example, the multiplicative inverse of 3 is . Also recall that division is multiplication by a number’s multiplicative inverse. For example, to divide by 3, just multiply by . With these definitions, use complete sentences to explain why we can’t divide by zero.
Answers
Find the 23rd term of the arithmetic sequence whose common difference is d=4 and whose first term is a^1 = 3.
Answers
Answer: the 23rd term of the arithmetic sequence=91
Step-by-step explanation:
The nth term of an arithmetic sequence is given as
an=a+ (n-1) d
Given common difference , d=4 and
first term is a^1 = 3.
We have that
a₂₃=3+ (23-1) 4
a₂₃=3+ (22) 4
a₂₃=3+ 88
a₂₃=91
the 23rd term of the arithmetic sequence=91
You can earn money by shoveling your neighbors' driveways in the winter and get paid $10 per hour. What is a function that would define this situation?
Answers
Answer:
Total income= $100
Step-by-step explanation:
Giving the following information:
Hourly rate=$10
To calculate the total income, we need to use the following formula:
Total income= hourly income*number of hours
For example, for 10 hours shoveling in a week:
Total income= 10*10
Total income= $100
What is the volume of this cone?
Answers
Answer:
r=6.1cm
volume=1/3πr^2
=1/3×22/7×6.1^2
=818.62/21
=38.98cm^3
can someone help me please
Answers
Answer:
B and E
Step-by-step explanation:
3^-8/3^-4 = 1/81 or .01234567...
I suggest that if you're having difficulty with a question like this again you go through all the answers individually so you can see what they equal! This method can really help in tests or where you can't get help.
3^-12 = 1/531441 <- not the answer
3^-4 = 1/81 <- answer!
3^2 = 9
1/3^2 = 1/9
1/3^4 = 1/81
1/3^12 = 1/531441
its also good to remember
3^-8/3^-4 would mean -8+4 = 3^-4 which would help you get your first answer.
Hope this helps!
[tex]B. \: {3}^{ - 4} \:✅\\ \\ E. \: \: \frac{1}{ {3}^{4} }\:✅ [/tex]
Step-by-step explanation:
[tex] \frac{ {3}^{ - 8} }{ {3}^{ - 4} } \\ \\ we \: know \: that \: \: \: \frac{ {a}^{m} }{ {a}^{n} } \: = \: {a}^{m - n} \\ \\= {3}^{ - 8 - ( - 4)} \\ \\ = {3}^{ - 8 + 4} \: ( \: ∵\: - \times - = + ) \\ \\ = {3}^{ - 4} \\ \\ ( \: or \: ) \\ \\= \frac{1}{ {3}^{4} } \\ \\( \: ∵\: {a}^{ - m} = \frac{1}{ {a}^{m} } \: ) \\\: [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
How many multiples of 13 are between 100 and 1000
Answers
Answer:
The first number between 100 & 300 divisible by 13 is 104
Step-by-step explanation:
half of a dome is called what?
Answers
Answer:
See I don't know the Answer but I Need points to ask question so Sorry
Step-by-step explanation:
MARKING BRAINLIEST
PLS HELP
Answers
Answer:
-7
Step-by-step explanation:
Domain is simply another way of saying input values. Input values are literally just x values (Any place on the x bar. Range is the same but instead of x values it is for y values.
explanation : i got it from the guy up there^^
If x=10 what is the value of 4(x-2)
A.48
B.32
C.38
D.8
Answers
Answer:
[tex]b. \: \: 32[/tex]
Step-by-step explanation:
[tex]4(x - 2)[/tex]
[tex]4(10 - 2)[/tex]
[tex]4(8)[/tex]
[tex]32[/tex]
Hope it is helpful...Which of the following functions best describes this graph?
A. Y = (x-3)(x + 4)
B. y = x^2-5x +6
C. y = x^2 -9x+18
D. y - (x+3)(x +6)
Answers
Answer:
(A). y = ( x - 3 ) ( x + 4 )
Step-by-step explanation:
Tell whether the triangle with the given side lengths is a right triangle. Y/N question
Answers
16^2 + 63^2 = 65^2
By this we can obviously say that,
The sum of the squares of the two sides = the square of hypotenuse
Which makes it a right angle triangle.
Answer:
yes , it is a right triangle.
Step-by-step explanation:
according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.
Here , 65 is largest side so it is hypotenuse and other two sides are the legs of the triangle.
pythagoras theorem:
a^2 + b^2 = c^2
16^2 + 63^2 = 65^2
256 + 3969 = 4225
4225 = 4225
since both sides are equal it can be concluded that the given side lengths d forms a right triangle.
Someone PLEASE help me !!
1. five times the product of two numbers x any y, divided by a third number z. what is the algebriac expression?
2. Seven times the product of two numbers x and y, less five, divided by thrice a third number z, what is the algebriac expression?
3. Half the product of two numbers x and y, minus five times a third number z. what is the algebriac expression?
4. three times a number x, minus four times a second number y, divided by seven times a third number. whats the algebriac expression?
Answers
Answer:
no lo entiendo lo que escribiste
Answer:
1.5(x+y)/z
2. 7(x+y)-5/3z
3.1/2(x+y)-5
4. 3x-4y/7z
Which of the following sets of numbers could represent the three sides of a
45-45-90 triangle?
1, 1, square root of 2
1, square root of 2 space comma end root square root of 3
1, square root of 3, 2
1, square root of 2 , 2
Answers
Answer:
1, 1, [tex]\sqrt{2}[/tex]
Step-by-step explanation:
using pythagorean theorem:
1² + 1² = [tex]\sqrt{2}[/tex]²
1 + 1 = 2
2 = 2
Match the statement with the appropriate reason for the proof above. Answers may be used more than once. You will have to fill in the blanks for 3
and 9 so you know the reason to match it with, but you are not picking solutions for 3 and 9
Answers
Answer:
Step-by-step explanation:
From the given question, the following statements and reasons can be matched;
Statement Reason
1. <1 and <2 are linear pair Given
2. <1 and <2 are supplementary Linear pair postulate
3. <1 ≅ <2
4. <1 ≈ <2 Given
5. m<1 = m<2 Substitution POE
6. m<1 + m<2 = [tex]180^{o}[/tex] Def of supplementary angles
7. 2(m<1) = [tex]180^{o}[/tex] Simplify/ Combine like terms
8. m<1 = [tex]90^{o}[/tex] Definition of right angle
9. 2(m<2) = [tex]180^{o}[/tex]
10. g ⊥ h Def of perpendicular lines
If two points on a line are given by (-7, -1) and (-7, 12), we would say the line equation is?
Answers
[tex] \large{ \tt{❃ \: SOLUTION}} : [/tex]
Remember : To find the equation of straight line passing through given points ( x₁ , y₁ ) and ( x₂ , y₂ ) , Use [tex] \tt{y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}(x - x_{1}}) [/tex]Let the given points ( -7 , -1 ) be ( x₁ , y₁ ) & ( -7 , 12 ) be ( x₂ , y₂ ).[tex] \underline{ \large{\tt{❁ \: USING \: TWO - POINT \: FORM \: OF \: EQUATION \: OF \: LINE : }}}[/tex]
[tex] \boxed{ \large{ \tt{❈ \: y - y_{1} = \frac{y_{2} - y _{1}}{x_{2} - x_{1}} (x - x_{1})}}}[/tex]
[tex] \large{ \tt{↦y - ( - 1) = \frac{12 - ( - 1)}{ - 7 - ( - 7)} \{x - ( - 7) \}}} [/tex]
[tex] \large{ \tt{↦y + 1 = \frac{12 + 1}{ - 7 + 7}(x + 7)} }[/tex]
[tex] \large \tt \:↦ \: y + 1 = \frac{12}{0} (x + 7)[/tex]
[tex] \large{ \tt{↦ \: y + 1 = 12(x + 7)}}[/tex]
[tex] \large{ \tt{↦y + 1 = 12x + 96}}[/tex]
[tex] \large{ \tt{↦ \: 12x + 96 = y + 1}}[/tex]
[tex] \large{ \tt{↦ \: 12x - y + 96 - 1 = 0}}[/tex]
[tex] \large{ \boxed{ \tt↦12x - y + 95 = 0}}[/tex]
Hence , 12x - y + 95 = 0 is the required equation of the line.✺ STUDY HARD ! No matter if it seems impossible , no matter if it takes time , no matter if you have to wake up all night , Just remember that the feeling of success is the best thing in the entire world. ♪
۵Hope I helped ! ツ
☼Have a wonderful day / evening ! ☃
# StayInAndExplore ! ☂
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For triangle ABC C = 90 Side AC = 13.5 Side BC = 8.6 Find the measure of angle B
Answers
Answer:
57.5°
Step-by-step explanation:
For triangle ABC C = 90 Side AC = 13.5 Side BC = 8.6 Find the measure of angle B
We solve using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
θ = Angle B
Opposite = Side AC 13.5
Adjacent = Side BC = 8.6
Hence:
tan θ = 13.5/8.6
θ = arc tan (13.5/8.6)
θ = 57.501354056°
Approximately = 57.5°
Therefore, Angle B = 57.5°
How do I find RS? I've been having great trouble with questions like this recently.
Answers
To find the value of RS, you first have to solve for the variable x.
To do this you solve the equation of 2x - 6 + 1 + x - 4 = 18. You get this equation by adding all the values of the line PS together, equaling them to 18, because these lines have the same value.
Solving this equation gives you x = 9.
You then substitute 9 into x - 4.
9 - 4 = 5.
This gives you RS = 5
Answer:
5
Step-by-step explanation:
We can solve by solving for x
2x-6 + 1 + x-4 = 18
3x-9=18
3x=27
x=9
Plug in 9 for x in Segment RS and you get (9) - 4 = 5
Hope this Helps!
Please Mark Me Brainliest!
:)
The following chart shows a store’s coat sales for two years. Identify the percent increase in total sales and the percent increase in sales of jackets. Then find which percent of increase is greater and by how much greater it is than the other. (Round your answer to the nearest tenth.) a. Sales of jackets increased 3.6 percentage points faster than total coat sales. b. Sales of jackets increased 18.8 percentage points faster than total coat sales. c. Total coat sales increased 8.1 percentage points faster than sales of jackets. d. Total coat sales increased 24.5 percentage points faster than sales of jackets. Please select the best answer from the choices provided A B C D
Answers
Answer:
The answer is "Option b"
Step-by-step explanation:
Please find the complete question in the attached file.
In 2006:
Top coats= 297
Parkas= 210
Jackets =213
Raincoats=137
Trench coats =103
Total: [tex]297+210+213+137+103=960[/tex]
In 2007:
Top coats =223
Parkas = 210
Jackets= 285
Raincoats = 259,
Trench coats =127
Total: [tex]223+210+285+259+127=1,104[/tex]
Calculating the percentage of the increasing total sales:
[tex]\to \frac{1,104-960}{960}\times 100=15\%[/tex]
Calculating the percentage of the increasing sales of the trench coats: [tex]\to \frac{127-103}{103}\times 100 \approx 23.3\%[/tex]
Because [tex]23.3\%- 15\%=8.3\%[/tex] sales of the Trench coats increase by 8.3% point is faster than the total coat sales.
Answer:
B
Step-by-step explanation:
What is the transformation shown in the graph?
270° rotation
reflection
180° rotation
90° rotation
i got it wrong and had 90° rotation
Answers
plssplsplsplspls answer fast bc its a map and I can't wait for way too long
Answers
Answer:
Part A: 1
Part B: -4
Step-by-step explanation:
In a coordinate [tex](x,y)[/tex], the x-coordinate represents the input of a function and the y-coordinate represents the output.
Part A:
We're looking for the point the line passes through with an x-coordinate (input) of -3. This point is (-3,1) and therefore the output is 1 when the input is -3.
Part B:
We're looking for the point the line passes through with a y-coordinate (output) of 2. This point is (-4,2) and therefore an input of -4 yields an output of 2.
Answer:
A) 1
B -4
well, need to write at least 20 characters... have a nice day :)
Can someone please help me
Answers
Answer:
Her monthly rate per month is $12
Step-by-step explanation:
On the 0 month is what she already had in her bank account.
Also the months are going by 2's so it's going by $24 dollars every 2 months, so 24 divided by 2 is 12.