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.
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Related Questions
Which is an equation of a direct proportion?
A: y=16x+6
B: y=6x
C: y=6x−6
D: y=6x
Answers
Answer:
B) y=6x
Step-by-step explanation:
Ms. Lesure is going to buy lunch for Mr. Shows Interactions A class. How many whole pizzas would she need to buy (assume each pizza has 8 slices) assuming there are 10 boys and 8 girls and the boys will eat 2 slices each and the girls will eat 1.5 slices each?
Answers
Answer:
Ms. Lesure is going to need to buy 4 pizzas for Mr. Shows Interactions A class. The boys would eat 20 slices and the Girls in total will eat 12 slices. In total you'll need about 32 slices and 32 divided by 8 is 4.
Step-by-step explanation:
the choices are
[tex] \frac{4}{25} [/tex]
[tex] - \frac{2}{5} [/tex]
[tex] - \frac{4}{25} [/tex]
[tex] \frac{2}{5} [/tex]
Answers
Answer:
option b) -2/5
Step-by-step explanation:
Using the rule :
[tex]\sqrt[3]{a^3} = (a^3)^{\frac{1}{3}} = a[/tex]
[tex]\sqrt[n]{-x} = - \sqrt[n]{x} , if \ n \ is \ odd[/tex]
[tex]\sqrt[3]{-\frac{8}{125}} = \sqrt[3]{-\frac{2 \times 2 \times 2}{5 \times 5 \times 5}} = -\frac{2}{5}[/tex]
Answer:
[tex]\sqrt[3]{-\frac{8}{125} }[/tex]
[tex]-\sqrt[3]{2^3} /\sqrt[3]{5^3}[/tex][tex]-2/\sqrt[3]{5^3}[/tex][tex]-\frac{2}{5}[/tex]So, your answer is B) - 2/5
-----------------------------
hope it helps...
have a great day!!
A large bag contains 16 red, 48 blue, and 16 green marbles. Each student in Mrs. Wynn's class randomly selects a marble, records the color, and then puts the marble back into the bag. Mrs. Wynn then reports the total number of red, blue, and green marbles selected by the entire class.
Which of these statements are true? Choose all that are correct.
A.
Theoretically, the probability of selecting one red marble from this bag is 0.20.
B.
If a student does not return his or her marble to the bag before the next student selects his or her marble, the theoretical probability of selecting a blue marble may be different for the next student.
C.
If there are 30 students in the class, the total number of blue marbles selected should be about 18 but may be more or less.
D.
It is possible that every student selects a green marble.
E.
If the total number of red marbles selected is not equal to the total number of green marbles selected, then there was a mistake in selecting the marbles or recording the data.
Answers
Answer:
Find the volume of this prism.
Theoretically, the probability of selecting one red marble from this bag is 0.20.
If a student does not return his or her marble to the bag before the next student selects his or her marble, the theoretical probability of selecting a blue marble may be different for the next student.
What are the probabilities?Probability determines how likely it is an event would happen. The chances of the event happening lie between 0 and 1.
The probability of selecting one red marble from this bag = number of red marbles / total number of marbles
16 / 80 = 0.20
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Why would the answer be 3.?
Answers
Answer: Cause why not?
Step-by-step explanation:
[tex]3(4x-1)=-2x+19+8x-4[/tex]
First combine like terms:
[tex]3(4x-1)=(-2x+8x)+(19-4)\\\\3(4x-1)=6x+15[/tex]
Now distributive property
[tex](3)(4x)-(3)(1)=6x+15\\12x-3=15+6x[/tex]
Additive Property of Equality
[tex]12x-3+3=15+6x+3\\12x=18+6x[/tex]
Subtractive Property of Equality
[tex]12x-6x=18+6x-6x\\6x=18[/tex]
And finally Division Property of Equality
[tex]\frac{6x}{6} =\frac{18}{6} \\x=3[/tex]
Bharat has two identical ink pens with full ink. He used 3/4th of the ink from the first pen and 2/3rd of the ink from the second pen. What is the fraction of the ink remaining in the two pens together?
Answers
Answer:
0.58333333333 Or 0.58333333333/100000000000
Step-by-step explanation:
I need help please PLEASE PLEASEEEEEEEE
Answers
Answer:
Step-by-step explanation:
Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math. To help her concentrate better, she dances for 20 minutes longer than she works on math.
How much time does Pam spend practicing math every day? Show your work.
Answers
Answer:
30 minutes
Step-by-step explanation:
20+30+20--80
Help anybody please idem
Answers
Answer:
-64
Step-by-step explanation:
f(x)=-4^x
f(3)=-4^3=-64
Answer:
-64
Step-by-step explanation:
1) Substitute x with 3
-4^3
2) solve
-64
What scale factor, as a percent, was applied to create the copy?
A. 50%
B. 75%
C. 125%
D. 150%
Answers
I’m sorry if it wrong
Have a nice day
In 24 games, Jamie has 48 scoring attempts. Which unit rate describes Jamie's scoring attempts? A) 1/2 of a scoring attempt per game. B) 2 scoring attempts per game. C) 24 scoring attempts per game. D) 72 scoring attempts per game
Answers
Answer:
The answer is B) 2 scoring attempts per game.
Help me this is due soon
Answers
Answer:
It's (-1.5,-5.5)
Step-by-step explanation:
Answer:
-1.5 , -5.5
Step-by-step explanation:
Ahmed needs to fill a fish tank with water. He uses three cups of water to fill 1/4 of the tank. How many cups of water will he need to completely fill the tank.
-1
-3
-4
-12
Answers
===========================
Work Shown:
3 cups = 1/4 tank
4*(3 cups) = 4*(1/4 tank)
12 cups = 1 tank
Have a nice day :DD
FIND THE TOTAL NUMBER OF COMBINATIONS
How many ways could a 3 topping pizza be selected if you have 10 toppings
to choose from?
A 720
B 120
60
D 30
Answers
Answer:
B.120 i took the test and got it right.
Answer:
Its letter B.
Step-by-step explanation:
hopefully i got it right loll
explain why 7x+3 cannot be factorised
Answers
Answer:
There is no common factor
Step-by-step explanation:
Leo designs the skateboard ramp shown in the diagram. Type the height of the ramp (h), in inches. Round your answer to the nearest whole inch.
Answers
Answer:
h = 50 inches
Step-by-step explanation:
To find the value of h, we are to use the appropriate trigonometric ratio
The given angle faces the unknown length and that makes the unknown length the opposite side
The given side faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects the opposite and the hypotenuse is the sine
The sine of an angle is the ratio of the opposite side to the hypotenuse
Thus, we have it that;
sin 23 = h/129
h = 129 * sin 23
h = 50 inches
PLEASE HELP MEEEEEE PLEASE I need HELP. thank you I love you
Answers
Answer:
b
Step-by-step explanation:
<ABC refers just to angle B. Angle B is on the opposite side of 98 therefore we would have to divide it by two. 98 divided by 2 is 49
If f(1) = 1 and f(n + 1) = 5f(n) + 3 then find the value of f(4).
Answers
Answer:
218
Step-by-step explanation:
Because we need f(n) to calculate f(n+1), we have to calculate our values one step at a time. Starting with f(1) = 1,
f(2) = 5(f(1)) + 3 = 5(1) + 3 = 5+3 = 8
f(3) = 5(8) + 3 = 40 + 3 = 43
f(4) = 5(43) + 3 = 215 + 3 = 218
Please help (add work/reasoning if you can)
Answers
Answer:
A
[tex]x + y > - 9 \\ - 7 + ( - 2) > - 9 \\ \\ 2x - 5y > - 4 \\ 2( - 7) - 5( - 2) \\ - 14 + 10 \\ > - 4[/tex]
helpppppp me pleasee
Answers
Answer:
the volume would be 84
Step-by-step explanation:
multipacation
Which
expression is equivalent to
X^-5/3
Answers
Answer:
-(5-3) is the answer bcoz - make 5 negative and 3 positive
Step-by-step explanation:
I hope this will help you
what is 0.8 divided by 62 as a decimal please help this is a finals
Answers
0.8 divided by 62 equals 0.80 or 80 percent (%)
Answer:
0.0129032258
Step-by-step explanation:
I simply did long division.
0.8 divided by 62 = 0.0129032258
Find measure of angles B, E, D and C and the length of BC.
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answers
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
Answer:
<D = 30
< C = 65
<B = <E = 85
16 = BC
Step-by-step explanation:
ABC ~ Triangle DEF
<A = <D = 30
< C = <F = 65
Since they are similar triangles
A+ C + B = 180 since the angles of a triangle = 180
30+65+B =180
95+ B = 180
<B = 180 -95 = 85
<B = <E = 85
The triangles are similar so the sides are proportional
AB BC
---- = ---------
DE EF
20 BC
---- = ---------
35 28
Using cross products
20*28 = 35 BC
Divide each side by 35
20*28/35 = 35/35 BC
16 = BC
What is the value of y?
O A. 36°
O B. 72°
C. 54°
O D. 1080
Answers
sorry but can u show a picture of y?
Answer:
but where is que plz show your que
Can someone help? It's super urgent I need it solved!
Answers
Answer:
Y = +- √ x - 5
Step-by-step explanation:
1. write f (x) = x^2 +5 as an equation (y = x^2 + 5)
2. interchange the varibles (x = y^2 + 5)
3. Solve for Y
A market sells cucumber for 1.20 the cost of each cucumber is the same
Answers
Answer:
Step-by-step explanation:
Let the number of cucumber = x
And the cost of the cucumber = y
Cost of the cucumber will be directly proportional to the number of cucumbers.
y ∝ x
y = kx [Here, k = proportionality constant]
Since, market sells 3 cucumbers for $1.2
1.2 = k(3)
k = 0.4
Therefore, equation for this situation will be,
y = 0.4x
Part A
If x = 1,
y = 0.4(1)
= 0.4
For x = 2,
y = 0.4(2)
= 0.8
For x = 3,
y = 0.4(3)
= 1.2
Number of cucumbers Cost($)
1 0.4
2 0.8
3 1.2
Part B
Equation representing relation between number of cucumbers and the cost will be,
y = 0.40x [Option A]
Beth said the distance to school is 2.8 km. The actual distance is 3.5 km. What is the percent error
Answers
Answer:
20%
Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.
Given that XYZ ~ JKL answer the following:
what is the ratio of similarity (scale factor)
SOLVE for the length of YZ:
SOLVE for the length of JL:
Answers
Answer:
scale factor is 3/2
YZ=15
JL=12
Step-by-step explanation:
JK=XY
ZY=LK
XZ=JL
15/10=3/2 (scale factor)
3/2=x/10
now cross multiply
30/2=2x/2
15=x or YZ
3/2=18/y
cross multiply
3y/3=36/3
JL or y=12
What are the ordered pairs for all of the points
Answers
B(-3,2)
C(-2,-4)
D(6,-3)
Answer:
A ( 3 , 4 )
B ( -3 , 2 )
C ( -2 , -4 )
D ( 6 , -3 )
E ( 0 , 0 )
Step-by-step explanation:
remember that x values go first and then y values ( x , y )
the ratio of the ages of Charlie and Kelvin is 2:3 if Charlie is 8 year old ,how old is Kelvin
Answers
Answer:
Charlie would be 11
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Create proportional relationship to solve for Kevin's age
Let k = Kevin's age
2/3 = 8/k
Now solve for k
Cross multiply
24 = 2k
Divide both sides by 2
12 = k
If charlie is 8 then Kevin is 12
