Answer:
the future value of each deposit = ($67,705 x 1/12 x 0.02) x (1 + 1%)ⁿ = $112.84 x 1.01ⁿ
where n = number of quarters (interest is compounded quarterly)
the effective interest = 1.01⁴ - 1 = 4.06%
Assuming that you are going to make monthly payments, then you would need the number of quarters (n) in order to determine the future value. Since the interest is compounded quarterly, each contribution = $112.84 x 3 = $338.52
For example, if you are planning to save money for 5 years (n = 5 x 4 = 20), then the future value of the investment = $338.52 x 22.019 (FV annuity factor, 1%, 20 periods) = $7,453.87
if you want to calculate the total number of contributions (n):
FV annuity factor, 1%, n? = future value / contribution = $10,000 / $338.52 = 29.5404
since you know the interest rate (1%) you have to look at a future value annuity table and search the n for 29.54. This is approximately 26 periods (FV annuity factor = 29.53).
Man travelled twofifth of his journey by train,onethird by bus, one fourth by car and thr remaining 3 km by foot . What is the length of his total journey
Answer:
180 km
Step-by-step explanation:
Let total length of journey = x
By train = 2/5x
By bus = 1/3x
By car = 1/4x
By foot = 3km
(2/5)x + (1/3)x + (1/4)x + 3 = x
L. C. M of 5, 3 and 4 = 60
(24x + 20x + 15x) / 60 = x
24x + 20x + 15x + 180= 60x
24x + 20x + 15x - 60x = - 180
-x = - 180
x = 180
Hence, total length of journey = 180km
What is the constant of proportionality in the equation y=0.72x
Answer:
Constant: 0.72 = 18 : 25
Step-by-step explanation:
None
If bc+ad=b solve for a
Answer:
bc+ad=b
or,ad=b-bc
or,a=(b-bc)/d
Answer & Step-by-step explanation:
Ok, so to solve for a in this equation means that we need to write the equation from the point of view of a, instead of b, which is the way it is currently written.
bc + ad = b
The first thing to do is isolate a, we do this by dividing every term in this by a.
a = bc/a + ad/a + b/a
a = d(bc + b)
Now, we need to divide d from the equation.
FINAL ANSWER: a = b/d - bc/dLatoya made 2 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for both necklaces was $8.40. If the beads cost $2.70 for each necklace, how much did each ppendant cost
I'll give brainiest if correct :)
Answer:
its 2.60 for each pendent
please help ill give brainliest!
Answer:
3,14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Find the length of the unknown side. Round your answer to the nearest whole number.
Pls help thx 19 points
Answer:
7 inches
Step-by-step explanation:
you have to use the Pythagorean Theorem
Answer:
10 inches
Step-by-step explanation:
Assuming one of angles is 30 degrees we can use the theorem leg opposite to 30 degree angle the hypotenuse will be double than the leg measurements so it is 10 inches.
Find the percent change from the first value to the second.
50; 35
Answer:
30
Step-by-step explanation:
A ball Is dropped from a height of 100'. The height of the ball can be determined using the equation h = -16t^2+ 100, Where H is the height, in feet, and T is the time in seconds. If age equals 0 Kama find all the values of T and determine whether the values are reasonable for this solution
Answer:
2.5secsStep-by-step explanation:
Given the height of the ball modeled by the equation h = -16t^2+ 100, where
h is the height
t is in seconds
We can find the time taken by the ball to reach the ground.
The ball reaches the ground when the height h = 0
Substitute h = 0 into the equation and find t;
0 = -16t^2+ 100
16t^2 = 100
t^2 = 100/16
t = √100/16
t = 10/4
t = 2.5secs
Hence the ball reaches the ground after 2.5secs
Last month, an airline made 2,905 reservations for flights from Cleveland, Ohio to Newark, New Jersey. After 25 cancellations, there were still 18 full flights. Which airplane made the flights?
Which of the following expressions is not equivalent to (-2)(8 + 6 + -3)?
answers:
1. (-2)(8) + (-2)(6) + (-2)(-3)
2. (-2)(8 + 6) + (-2)(-3)
3. (-2)(8) + (-2)(6 + -3)
4. (-2)(8 + 6) + (-3)
Answer:
4
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Please help me with this
Answer:
6,561
39,204
25,575
52.5625 - 7.5625 = 45
Step-by-step explanation:
(i)
(81)^2
Use (a + b)^2 = a^2 + 2ab + b^2
(81)^2 = (80 + 1)^2 =
= 80^2 + 2 * 80 * 1 + 1^2
= 6400 + 160 + 1
= 6561
(ii)
(198)^2
Use (a - b)^2 = a^2 - 2ab + b^2
(198)^2 = (200 - 2)^2 =
= 200^2 - 2 * 200 * 2 + 2^2
= 40,000 - 800 + 4
= 39,204
(iii)
165 * 155
Use (a + b)(a - b) = a^2 - b^2
165 * 155 = (160 + 5)(160 - 5) =
= 160^2 - 5^2
= 25,600 - 25
= 25,575
(iv)
(7.25)^2 - (2.75)^2
Use a^2 - b^2 = (a + b)(a - b)
(7.25)^2 - (2.75)^2 =
= (7.25 + 2.75)(7.25 - 2.75)
= 10(4.5)
= 45
A recipe says to use 3 cups of flour to make 48 cookies. What is the constant proportionality that relates the number of cookies, y, to the number of cups of flour used, x?
Answer k=16
A recipe says to use 3 cups of flour to make 48 cookies.
the number of cookies made, y, to the number of cups of flour used,x .
Than
y = kx
Where k is the constant of proportionality.
48 = 3k
k = 16
Therefore the constant of proportionality is 16.
Are 0.5 and 5 EQUAL TO EACH OTHER?
Answer: nope
Step-by-step explanation:
A. 48
B. 44
C. 52
D. 40
6. The sum of the ages of a father and his son is 74. Four years ago the
father's age was twice as old as his son. How old is the father now?
Answer:
A (48)
Step-by-step explanation:
let the father's age = x and his son's age = y
according to the question,
the sum of their ages is 74
×+y=74......equation 1
four years ago (i.e x-4 & y-4) father's age was twice as old as his son
x-4=2(y-4)
or, x-4=2y-8
x-2y=-4.......equation 2
now, in equation 1
x+y=74
hence,
x=74-y
substituting the values in equation 2
x-2y=-4
(74-y)-2y=-4
74-y-2y=-4
74-3y=-4
74+4=3y
3y=78
y=78/3
y=26
Hence the kid is 26 years old
x+y=74
x+26=74
x=74-26
x=48
Hence the dad is 48 years old
Answer:
The correct answer is: Option A: 48
Step-by-step explanation:
Let x be the present age of father and y be the present age of son
Given that
"The sum of the ages of a father and his son is 74"
[tex]x+y = 74\ \ \ Eqn\ 1[/tex]
Now
x-4 will be the age of father 4 years ago
y-4 will be the age of son 4 years ago
The equation will be:
[tex]x-4 = 2(y-4)\\x-4 = 2y-8\\x-2y-4 =-8\\x-2y = -8+4\\x-2y = -4\ \ \ Eqn\ 2[/tex]
From equation 1:
[tex]x = 74-y[/tex]
Putting in equation 2
[tex]74-y-2y = -4\\74-3y = -4\\-3y = -4-74\\-3y = -78\\\frac{-3y}{-3} = \frac{-78}{-3}\\y = 26[/tex]
Put y = 26 in equation 1
[tex]x+26 = 74\\x = 74-26\\x = 48[/tex]
The father is 48 years old now.
Hence,
The correct answer is: Option A: 48
PLS HELP ASAP
What is the value of X?
The answer is 8 but I need to show the work pls help
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up Equation
(7x - 1) + 80 + (6x - 3) = 180
Step 2: Solve for x
Combine like terms: 13x + 76 = 180Isolate x term: 13x = 104Isolate x: x = 8Answer: x = 8
Step-by-step explanation:
Hoped this helped
What is the slope of AB in parallelogram ABCD?
The slope of the line [tex]\overline{AB}[/tex] is the rate at which the line rises at a point.
[tex]\mathrm{The \ slope \ of \ \overline{AB} \ is \ D.} \ \dfrac{5}{2}}[/tex]
Reasons:
The slope of a line is given by the ratio of the rise to the run of the line
The coordinates of point A = (-9, -4)
The coordinates of point B = (-5, 6)
The rise of the line [tex]\overline{AB}[/tex] = The difference in the y-values = (6 - (-4)) = 10
The run of the line [tex]\overline{AB}[/tex] = The difference in the x-values = (-5 - (-9)) = 4
[tex]Slope \ of \ \overline{AB}= \dfrac{Rise \ of \ line \ \overline{AB}}{Run \ of \ line \ \overline{AB}}[/tex]
Therefore
[tex]Slope \ of \ \overline{AB}= \dfrac{10}{4} = \dfrac{5}{2}[/tex]
Learn more here:
https://brainly.com/question/12860056
Please HELP!!!!!!!! THANK YOU!!!!!!!!
Answer:
200 animals is the correct answer to the first question.
Find the value of r in the triangle shown below.
X =
50°
41°
Answer:
89
Step-by-step explanation:
180 - (50 + 41)
180 - 91
89
.ie x= 89
because total sides of triangle = 180 degree
hope this answer helps!!!!
my teacher sent me a really passive aggressive email. any ideas of how to respond in a passive aggressive way without getting in trouble. here's some context for what the email was about. So I had to submit something online but I'm having issues doing it. I figured out a way to do it but he wants me to do it a different way. the way he wanted me to do it didn't work so I asked him if I could just do it my way. he told me that I'm the only one having the issue and asking him if it's ok to submit it my way would be a burden for him to grade(which honestly it wasn't, all it would take him is an extra minute) he also said that I should develop some persistence and figure out the issue. (this was an assignment due 2 months ago and the semester is almost over, he said that if I don't get it in I'll get a 0 for it. that's why I asked for him to grade it the way I submitted it.)
so any ideas on how to respond.
Answer: tell him " your way doesnt work many people have the same issue so im doing it my way"
Step-by-step explanation:thats job done
Rewrite as a simplified fraction 2.67 repeating
What is true about the domain and range of the function?
A.The domain is all real numbers less than or equal to 4 and the
range is all real numbers such that -3 SS1
B. The doman is alrerumbers such thes-35251 and the
range is real numbers less than or equal to
c. The domain is alreal numbers, and the range is a real
numbers less than or equal to 4
D. The domains all real numbers less than or equal to 4 and the
range is all real numbers
Answer:
We are all smart but we do st*Upid things. very st*Upid things.
Step-by-step explanation:
Which of these investments are intended to collect dividends as income?
bonds
real estate
savings account
stocks
Answer:
stocks
Step-by-step explanation:
Stocks are the type of investment that are intended to collect dividends as income, mainly referred to as dividend stocks. Companies pay these dividends to investors who hold stocks from their company and these dividends are usually paid out quarterly, meaning four payments per year. The other options provided provide forms of passive income but they are not considered dividend payments.
Find all real values of x that satisfy the equation x^2 - 7x = 98.
Find the length of RS 40 10 9 8 A. 73 units B. About 8.5 units C. About 3.3 units D. 11 units
Answer:
4,9
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
Ashley spent half her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $9. What is her weekly allowance if she ended with $15?
Show your work
please hurry up!!!
The perimeter of a parallelogram must be no less than 40 feet. The length of the rectangle is 6 feet. What are the possible measurements of the width? Write an inequality to represent this problem. Use w to represent the width of the parallelogram. [Hint: The formula for finding the perimeter of a parallelogram is \(P=2l+2w.\) What is the smallest possible measurement of the width? Justify your answer by showing all your work.
Answer:
A. 2l + 2w > 40
B. 14 = w
Step-by-step explanation:
B. 40 = ( 2/6) + 2w
40 = 12 +2w
subtracted by
28 = 2w
and that equals
14= w
Write a function rule for the area of a rectangle with a length 2 ft less than three times it’s width. What is the area of the rectangle when it’s width is 2 ft?
9514 1404 393
Answer:
A(w) = w(3w-2)
A(2) = 8 . . . . square feet
Step-by-step explanation:
For width w, the length will be 3w-2, two feet less than 3 times the width. The area is the product of length and width, so is ...
A = WL
A(w) = w(3w-2)
__
To find the area for a width of 2, we put 2 where w is, then evaluate.
A(2) = 2(3·2 -2) = 8 . . . . square feet
Please help I don’t get it
Answer:
Alternate Interior Angles
Step-by-step explanation:
Angle 3 and angle 6 are inside the parallel lines and are opposite sides of the transversal line so, it'd be alternale interior angles.
Each person in a certain group supports only one of the two candidates R and T. Of the people in the group, 45 percent support Candidate R and the rest support Candidate T. How many people in the group are in favor of a flat tax
Missing Information:
Of the people in the group who support Candidate R, 58 percent are in favor of flat tax Of the people in the group who support Candidate T, 22 are in favor of a flat tax.Answer:
[tex]Total = 26.1\%N + 22[/tex]
Step-by-step explanation:
Given
[tex]R = 45\%[/tex] -- [tex]Percentage[/tex] [tex]of\ R[/tex] in the total population
[tex]Favor\ Flat\ Tax = 58\%[/tex] in group R
[tex]Favor\ Flat\ Tax = 22[/tex] in group T
Required
Determine the number of people that supports T
First, the proportion of those that supports flax rate in R needs to be calculated.
[tex]Proportion = 45\% * 58\%[/tex]
[tex]Proportion = 26.1\%[/tex]
So, those that favor flat tax rate in group R are:
[tex]Favor\ Flat\ Tax = 26.1\%N[/tex]
Where N represents the total population.
Total number of people that supports the flax tax rate is gotten by adding people that support flat tax rate in each group.
[tex]Total = Group\ R + Group\ T[/tex]
[tex]Total = 26.1\%N + 22[/tex]
Randeep purchased sandwiches and a gallon of milk for himself and his friends. Each sandwich cost $8. The gallon of milk cost $4. The total cost of the meal was $44. Which answer choice represents and solves correctly the equation for x, the number of sandwiches that Randeep purchased? DON'T FORGET THE NUMBER OF SANDWICHES RANDEEP MUST BUY TO REACH $44.
Answer: He bought 5 sandwiches.
Step-by-step explanation:
We know that he purchased sandwiches (let's suppose that he bought X ) and one gallon of milk.
The cost of each sandwich is $8, then the cost of the X sandwiches will be X times $8, or: X*$8.
The cost of the gallon of milk is $4.
The total cost will be:
$4 + X*$8.
And we know that the total cost was $44, then we have the equation:
$4 + X*$8 = $44
We can solve this for X
X*$8 = $44 - $4
X*$8 = $40
X = $40/$8 = 5
This means that he bought 5 sandwiches