Answer:
The amount of one-time payment should he make on his 40th birthday to pay off his pension plan is P32,880.77.
Step-by-step explanation:
Step 1: Calculation of present value on 3 months after his 60th birthday
The present value on 3 months after his 60th birthday can be calculated using the formula for calculating the present value of an ordinary annuity as follows:
PV60 = Q * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
PV60 = present value on 3 months after his 60th birthday = ?
Q = quarterly claim = P10,000
r = quarterly interest rate = annual interest rate / 4 = 8% / 4 = 0.08 / 4 = 0.02
n = number of quarters = number of years * Number of quarters in a year = 5 * 4 = 20
Substitute the values into equation (1), we have:
PV60 = P10,000 * ((1 - (1 / (1 + 0.02))^20) / 0.02)
PV60 = P10,000 * 16.3514333445971
PV60 = P163,514.33
Step 2: Calculation of one-time payment on his 40th birthday
The one-time payment can be calculated using the formula the following formula:
PV = PV60 / (1 + r)^n ........................ (2)
Where;
PV = Present value or One-time payment = ?
PV60 = present value on 3 months after his 60th birthday = P163,514.33
r = quarterly interest rate = annual interest rate / 4 = 8% / 4 = 0.08 / 4 = 0.02
n = number of quarters from 40th to 3 months after his 60th birthday = (number of years * Number of quarters in a year) + One quarter = (20 * 4) + 1 = 81
Substitute the values into equation (2), we have:
PV = P163,514.33 / (1 + 0.02)^81 = P32,880.77
Therefore, the amount of one-time payment should he make on his 40th birthday to pay off his pension plan is P32,880.77.
help me and i givee points give me correct answer
Answers:
Fractions A
Red flower fraction== 40/100
Purple flower fraction=47/100
Trees fraction=7/100
Decimals
Orange flower decimal=0.06
Trees decimal=0.07
Percents
Red flower percent=40%
Orange flower percent=6%
Purple flower percent=47%
Ask for help when you need it, I'm here until 2:30
I hope this helps!
If you need more help, don't hesitate to ask!
May I have brainliest, please?
what is
6 over 9
and
11 over 88
Answer:
6 over 9 = 6/9 11 over 88 = 11/88 6/9 = 0.6667(repeating) 11/88 = 0.125
P.S. Dont fall for those link scams! ;)
Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D
Find Cecilia’s average monthly income if her biweekly take-home pay is $764.00. Help please. Will give braineliest
10. Ayden travels from Orlando to Tampa to see his grandparents. If the trip is 897,600 feet round trip, how many miles does Ayden travel one way? A 85 miles B 170 miles C 255 miles D 340 miles 11. Jason bought 4.5 kilograms of cream me of cream?
Triangle KLM is similar to triangle NOP. Find the measure of side NO. Round your
answer to the nearest tenth if necessary.
M
P Р
O
1
23
51.6
38
N
Answer:
[tex]NO= 31.2[/tex]
Step-by-step explanation:
See attachment for triangle
From the attachment, we have:
[tex]KL = 51.6[/tex]
[tex]LM= 38[/tex]
[tex]OP = 23[/tex]
Required
Find NO
This will be calculated using the following equivalent ratios:
[tex]NO : OP = KL : LM[/tex]
This gives:
[tex]NO : 23= 51.6: 38[/tex]
Express as fraction
[tex]\frac{NO }{ 23}= \frac{51.6}{ 38}[/tex]
Make NO the subject
[tex]NO= \frac{51.6}{ 38} * 23[/tex]
[tex]NO= \frac{51.6* 23}{ 38}[/tex]
[tex]NO= \frac{1186.8}{ 38}[/tex]
[tex]NO= 31.2[/tex] --- approximated
Answer:
x≈ 16.9
Step-by-step explanation:
Graph the solution set of the inequality 1/2y < -3
Answer:
y < − 6 ?
Step-by-step explanation:
Its a straight line on graph so it's linear
Answer:
w
Step-by-step explanation:
Liam is setting up folding chairs for a meeting. If he arranges the ch
same length, he has 9 chairs left over. If he arranges the chairs in 2 rows of that same
length, he has 21 left over. How many chairs does Liam have?
Liam has
chairs.
Answer:
Step-by-step explanation:
This is the answer
the actual weights of bags of pet food are normally distributed about the mean of 50.0 lb with a standard deviation of 0.2 lb.
1. About what percentage of bags of pet food weigh between 49.8 lb and 50.2 lb?
2. About what percentage of bags weigh less than 49.8 lb?
3. In a group of 250 bags, what percentage of bags would you expect to weigh more than 50.4?
9514 1404 393
Answer:
68%16%2.5%Step-by-step explanation:
1. The empirical rule tells you 68% of the distribution is within 1 standard deviation of the mean. The mean is 50 and the standard deviation is 0.2, so this means 68% of the bags weigh between 49.8 and 50.2 lb.
__
2. The other 32% is evenly split above and below the central part of the distribution. That is, about 16% of the bags will weigh less than 49.8 lb.
__
3. The percentage is independent of the size of the group. The empirical rule tells you 95% lie within 2 standard deviations of the mean. The other 5% will be evenly split between those weighing more than 50.4 and those weighing less than 49.6 lb. About 2.5% of the bags will weigh more than 50.4 lb.
_____
Additional comment
It is useful to remember the empirical rule numbers, 68%, 95%, 99.7% for the portion of the distribution between ±1, 2, 3 standard deviations of the mean. They are useful for answering questions like this one. (They are only approximations, so if more accuracy is needed, a table or app should be used to find the accurate value.)
Write an equation of the parabola shown.
Answer:
y = 0.1(x + 5)² + 1.5
Step-by-step explanation:
Equation of a parabola having vertex at (h, k) is given by,
y = a(x - h)² + k
From the given graph, vertex of the parabola is (-5, 1.5)
Therefore, equation of the parabola will be,
y = a(x + 5)² + 1.5
Since, this parabola passes through a point (0, 4)
4 = a(0 + 5)² + 1.5
4 = 25a + 1.5
25a = 2.5
a = 0.1
By substituting the value of 'a' in the equation of the parabola,
y = 0.1(x + 5)² + 1.5
40 QUESTIONS FOR JUST ONE QUESTION :) QUESTION 6
Answer: Credit to work in process invetory-assembly
Answer:
its C because it makes the most sense "Credit to work in process invetory-assembly."
Step-by-step explanation:
choose the scatter plot in which the outlier is highlighted
Answer:
its the second graph top right
Step-by-step explanation:
an outlier is a point that deviates from the rest
What are the steps I need to solve this problem? 2x + 5 = 21
Step-by-step explanation:
subtract 5 under itself and 21 , then cross out the 5 and only subtract 21 and 5 which is 16 and then bring down 2x so now your equation will be 2x=5 so now your gonna divide 2 and 5
wuestions
(a) An angle measures 51°. What is the measure of its supplement?
(b) An angle measures 27°. What is the measure of its complement?
Answer:
a - 129
b - 63
Step-by-step explanation:
for a - supplementary angles add up to equal 180
so to find the measure of its supplement we subtract the given angle from 180 180-51=129
so the measure of a supplement angle is 129
for b - complementary angle add up to equal 90
so to finds the measure of its complement we subtract the given angle from 90
90-27=63
so the measure of its complement is 63
Answer:
(a) An angle measures 51°. the measure of its supplement=180-51=129°
b) An angle measures 27°. the measure of its complement=90-27=63°
Which of these describes information that can appear in a consumer 's credit report?
A. The Name Of A Store Where The Consumer pays for all purchases
B. The Name Of A Company That Gave The Consumer A Car Loan 2 Years Ago
C. The Amount Of Money The Consumer Will Need Too Borrow In The Next 5 Years
D. The Amount That The Consumer Loaned To A Family Member
Answer:
b the car loan .................
Which is the smallest tow rope needed to pull an 8000 N pallet across a warehouse floor? Click the image to find the answer
10000 n
4000 n
24000 n
2700 n
Answer: force F = uN, u 0.34 and N = 8000 N also F = 2720 N, thus 4000 N is enough
It
Step-by-step explanation:
Answer:
10,000 i think....i hope this helps
Step-by-step explanation:
Helppppppppppppppppp
Answer:the second one
Step-by-step explanation:
anwser c
step-by-step explenation
Change 79/3 into a mixed number
Answer:
26 1/3
Step-by-step explanation:
I simplfied 79/3 on paper :)
The image below shows four soccer balls at different
locations on an uneven soccer field. Which ball has the
greatest amount of kinetic energy? Explain your answer.
Answer: letter d
Step-by-step explanation:
Answer:
Ball D. Among the four balls in this picture, ball D is the only one whose kinetic energy is greater than [tex]0[/tex].
Step-by-step explanation:
Consider an object of mass [tex]m[/tex]. If this object is moving at a speed of [tex]v[/tex], the kinetic energy of this object would be:
[tex]\displaystyle \frac{1}{2}\, m \cdot v^{2}[/tex].
The speed [tex]v[/tex] of ball A, B, and C are all [tex]0[/tex]. Hence, the kinetic energy of these three balls would be [tex]0\![/tex].
The speed of ball D is greater than [tex]0[/tex]: [tex]v = 2\; \rm m \cdot s^{-1}[/tex]. The kinetic energy of this ball would be:
[tex]\begin{aligned} {\rm KE} &= \frac{1}{2}\, m \cdot v^{2} \\ &= \frac{1}{2}\times \rm 0.43\; \rm kg \times \left(2\; \rm m \cdot s^{-1}\right)^{2}\\ &= 0.86\; \rm J\end{aligned}[/tex].
Hence, the kinetic energy of ball D is the greatest among the four balls in this picture.
Given the equitation 3x+6x=30. What is the slope and y intercept.
Answer:
slope-5/3-1 2/3
y-intercept=-2
Step-by-step explanation:
hope that helps if correct please mark as brainliest thank you
19NBoli
Find the value of the expression below pls help
Answer:
D 1/16
Step-by-step explanation:
(1/2)^4=.0625
.0625= 1/16
Need help QUICKLYY ———————————————————
Answer: a. g(x) = 3^x + 2 b. y = 3 c. same graph but shifted two units up
Step-by-step explanation:
Solve each inequality.
1. 5x + 2 <17
Answer:
x<3
Step-by-step explanation:
5x+2<17
Subtract 2 from both sides.
5x<17−2
Subtract 2 from 17 to get 15.
5x<15
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x=15/5
Divide 15 by 5 to get 3.
x<3
Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at
a point that is a distance of 5 units from the -axis and 3 units from the -axis.
Jeffrey places a treasure at point J, and Garrett places one at point G.
Who put the treasure in the right place?
A Garret, he put the treasure at (3, 5)
B Jeffery, he put the treasure at (5, 3)
C Garret, he put the treasure at (5, 3)
D Not here
Answer:
Step-by-step explanation:
30 POINTS FOR JUST ONE QUESTION :)
Answer:
maybe its a or c
Step-by-step explanation:
Answer:
D) 14,400
Step-by-step explanation:
trust me
ANSWER ONE OF THESE FAST PLEASE!!!
Answer:
x7
Step-by-step explanation:
what is the answer for this? Select all the fractions that are equivalent to 45. Use the area models to help.
Answer: bro you have to submit a picture or some more information baceuse nobody will be able to answer your question with only one number (45)
Step-by-step explanation:
convertir 5000 cm a km
Answer:
0.05 kilometer is the answer
Step-by-step explanation:
hope this answer may help you
Someone please help me and thank you:)
Answer:
D
Step-by-step explanation:
Answer:
n+4=32 models this scenario.
This is because n+4 would show how many students are originally in the class.
Let me know if this helps!
helpppppp ill give brainliest answer if you know
Answer: 522.67 mm^3
Step-by-step explanation:
use formula
I am trying to solve this but I don't understand.
Answer:
a = 42 b = 21
Step-by-step explanation:
a is 42 since it ks vertically opposite 42
To solve for b
360 - (42×2)........to get the angle next to a
=276... Divde answer by 2. Bc there are two of the angles
276÷2 =138
138 + 2b =180
2b = 180 - 138
b = 42 ÷ 2
b = 21