Answer:
Step-by-step explanation:
Q1 .
Money saved every month = $200
Time period until you retire = 35 years
Rate of Interest = 8%
The money is compounded monthly.
a). Amount for retirement = Saving annuity
Saving or making a series of payments at regular intervals is called annuity.
Annuity formula is :
P_{n} = d((1 + r/k)^{nk} - 1)/(r/k)
PN is the balance in the account after N years.
d is the regular deposit (the amount you deposit each month)
r is the annual interest rate in decimal form(R/100)
k is the number of compounding periods in one year
Here d= $200 , r = 0.08 , n = 35 years , k = 12 (compounded monthly)
P_{n} = 200((1 + 0.08/12)^{(35*12)} - 1)/(0.08/12)
= $ 458776.50
b). Looking at the formula used in above option we can -
Increase number of years to increase retirement amount
Increase the monthly amount deposited
Increasing rate of interest also increases the amount
Compounding Annually , half yearly or quaterly will decrease the amount
c). Let us change the amount from $200 to $300 . Then amount will be
P_{n} = d((1 + r/k)^{nk} - 1)/(r/k)
P_{n} = 300((1 + 0.08/12)^{(35*12)} - 1)/(0.08/12)
= $ 688164.75
Due to a manufacturing error, three cans of regular soda were accidentally filled with diet soda in a 12 pack. Suppose that two cans are randomly selected from the 12 pack. Answer A-C.
(a) determine the probability that both sodas contain diet soda p(both diet) = ????
(b) determine the probability that both contain regular soda p(both regular) = ????
(c) determine the probability that exactly one is diet and one is regular p(one regular and one diet) = ????
Answer:
a- 3/4
b- 1/4
c- 3/16
Step-by-step explanation:
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Answer:
V=113.1
Step-by-step explanation:
Answer:
113
Step-by-step explanation:
A mason can lay 20 bricks in 30 minutes. At this rate, how long will it take him to lay 100 bricks?
An art teacher recorded whether the students in three of her classes prefer water color or oil painting. The art teacher plans to create a two-way table to analyze her results. Which variables can the art teacher use as the row and column headings of the table? O painting preference and total number of students O painting preference and number of students in class 1 O class number and painting preference O class number and number who prefer oil
Answer:
C. class number and painting preference
Step-by-step explanation:
just got done with the quiz
how to solve
y x 6 for y = 2/3
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Answer: 4
Explanation:
2/3 x 6 = 2/3 x 6/1 = 12/3 = 4
I hope this helped!
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Solve these equations.
Answer:
no solution
Step-by-step explanation:
|x-33| = -33
An absolute value must be greater than or equal to zero
The right hand side is a negative number.
There is no solution
Answer:
No solution
Step-by-step explanation:
When you do the absolute value, it is equal to a negative number. Which does not make sense so no solution
Help please, i need it asap
Answer:
∠BCA = 59
x = 2
∠B = 83
Step-by-step explanation:
Properties of a parallelogram:
Opposite angles are congruent
Opposite side lengths are congruent
That being said lets find x, ∠B and ∠BCA
First x
Segment AD and segment CD are parallels which are congruent
Knowing that we create an equation
6x = 12
step 1: Divide each side by 6
6x/6=x
12/6=2
we're left with x = 2
For ∠B
∠D and ∠B are opposite angles of a parallelogram
meaning that ∠D≅∠B
So if ∠D=83 then ∠B also = 83
For ∠BCA
∠BCA and ∠DAC happen to be opposite angles ( like stated previously opposite angles are congruent.)
Because ∠DAC = 59 ∠BCA also = 59
x + 4y = -26 -5x - = -14
Answer:
x=14/5, y=-36/5. (14/5, -36/5).
Step-by-step explanation:
x+4y=-26
-5x=-14
------------
5x=14
x=14/5
14/5+4y=-26
4y=-26-14/5
4y=-130/5-14/5
4y=-144/5
y=(-144/5)/4
y=(-144/5)(1/4)
y=-144/20
simplify
y=-36/5
work out m and c for the line:
Answer: m=-3/2
c=+1/2
Step-by-step explanation:
Pls help me!!
Answer choice:
A-30,500
B-17,700
C-15,630
D-12,800
Answer:
$12,800
Step-by-step explanation:
A 20 in wagon wheel has 6 spokes. What is the outside distance between the end of the spokes if they are spaced evenly(arc length)?
Answer:
10.47 inches
Step-by-step explanation:
circumference = πD = 3.14(20) = 62.8 inches
62.8 inches/6 spaces = 10.47 inches per space
How many tens and how many hundreds is 21,000
Answer:
tens = 2,100 and hundreads = 210
Step-by-step explanation:
Find the interest and amount of Rs. 12500 for
5 years at the rate of 8% per annum
Answer:
Can't help you in this Question
Simplify: (-5x + 7) - (x2 – 3x +2)
Answer:
-x^2-2x+5
Step-by-step explanation:
Question 4
The results of the Woodlands Middle School poll show that 20% of
the students prefer the aquarium and 50% of the teachers the
aquarium.
Which of the following statements is true?
There is evidence that teachers at Woodlands Middle may prefer the aquarium
more than students.
There is not enough evidence to support a relationship between destination
preference (aquarium or amusement park) and school role (student or teacher).
Woodlands Middle may prefer the aquarium
There is evidence that students
more than teachers.
Answer:
There is evidence that teacher at Woodlands Middle May prefer the aquarium more than students
Step-by-step explanation:
There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.
Why do we do sampling?We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.
Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.
Thus, the sample should be taken out such that it includes data of the population as much as it can in unbiased way so as to imitate population.
Poll oftenly uses sampling.
The data obtained from the poll shows that:
20% of the students prefer the aquarium and 50% of the teachers the
aquarium.
That means, from the poll, we found that out of total students, 20% prefer aquarium whereas 50% of total teacher prefer aquarium.
Since we conclude from sampling only as this is the usual way we do conclusion about population, and since percentage shows that less students' proportion prefer aquarium than the proportion of teachers prefering aquarium, thus,
There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.
Learn more about sampling here:
https://brainly.com/question/24842573
The length of a rectangle is (2x-3) and the width is (x+6) which of the following is a representation of area
Answer:
(2x+3)(x+6) or 2x^2 + 15x + 18
Step-by-step explanation:
Area = Length x Width
Length = (2x-3)
Width = (x+6)
(2x-3)(x+6)
2x^2 + 12x - 3x - 18
2x^2 + 15x + 18
Final Answer: (2x+3)(x+6) or 2x^2 + 15x + 18
Please help! I'm giving branniest for the correct answer! (SHOW WORK)
Answer:
102
Step-by-step explanation:
it's a parallelogram so it's BxH
A = 15x8 = 120
inside rectangle A is LxW
6x3 = 18
subtract the inside from the outside
120-18 = 102
How much of the circle is shaded 1/7 + 1/2
Answer:
The answer would be 0.64285714285
Step-by-step explanation:
You just add both of the fractions you showed above
solve these equations show solutions on a number line.
|x+8|=x+8
9514 1404 393
Answer:
x ≥ -8
Step-by-step explanation:
The absolute value does nothing when its argument is non-negative.
x +8 ≥ 0
x ≥ -8 . . . . . . . subtract 8 from both sides
Jack borrowed $ 4,000.00 and paid $ 585.00
in simple interest after 4 year 6 months. What
was the annual rate of interest?
Answer:
3.25%
Step-by-step explanation:
The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.
I = PRT
585 = (4000)(r)(4.5)
585 = 18,000r
r = 0.0325
Multiply by 100 to get the percentage
0.0325 = 3.25%
please help me i have the pic below: find the 27th term given the function an=-10+(n-1)(-2)
Answer:
-62
Step-by-step explanation:
Plug 27 into the equation
a27=-10+(27-1)(-2)
27-1=26
26 times -2 = -52
-52-10=-62
So
a_27
-10-2(26)-10-52-62Option D
Which quantity is proportional to 5/25?
Answer:
i think the correct answer is 1/5.
Step-by-step explanation:
hope this answer will help u.
have a great time.
please help me i can't figure this out
A 6 meters per second
B 5 meters per second
C 4 meters per second
D 7 meters per second
Answer:
B 5 meters per second
Step-by-step explanation:
Pick two points on the graph, and find the slope.
For example, you can use the points
(0, 8500) and (1700, 0)
slope = (difference in y)/(difference in x)
slope = (0 - 8500)/(1700 - 0) = -8500/1700 = -5
The slope is negative because the plane was losing altitude as it descended.
It descended at a rate of 5 meters per second.
Answer: B 5 meters per second
Answer:
B. 5 meters per second
Step-by-step explanation:
slope=8500÷1700=5
Plane descended at the rate of 5 meters per second.
hope it helps
have a great day!!
D = L ( m/k + v^2/25)
Make v the subject of the formula.
Answer:
Answer and steps in picture.
The steam and the leaf plot list the ages of customers in a book store
How many customers are 19 or younger?
enter your answer in the box
Answer:
Step-by-step explanation:
The perimeter of a rectangle is 62.the length is 5 less than 3times the width. Find the width and the length
Answer:
length = 22, width = 9
step by step explanation :
perimeter = 62
length = 3×width -5
∴ 2 ( length + width ) = perimeter
2 ( 3w-5 + w ) = 62
3w -5 + w = 62/2 = 31
3w -5 + w = 31
4w = 31 + 5 = 36
4w = 36
w =36/4
w = 9
l= 3w-5 = (3×9)-5 = 27-5= 22
verifying -
2( l + b) = perimeter
2 ( 22 + 9 ) = 2 * 31 = 62
hope this answer helps you....
The area of a square field is 14400 sq. metre. Find the length of the side
of the square.
Answer:
side = 120 metre
Step-by-step explanation:
here's your solution
=> Area of square = 14400 sq.metre
=> Area of square = side^2
=> side^2 = 14400 sq.metre
=> side = √14400
=> side = 120 metre
hope it helps
Revenue expenditures:
Revenue expenditure refers to those expenditures which are incurred during normal business operation by the company, benefit of which will be received in the same period and the example of which includes rent expenses, utility expenses, salary expenses, insurance expenses, commission expenses, manufacturing expenses, legal expenses, postage and printing expenses, etc.
Find the surface area of a cylinder with radius 2.5 cm and height of 7.3 cm.