Answer:
FV= $38,735.32
Step-by-step explanation:
Giving the following information:
Monthly deposit= $100
Number of periods= 18*12= 216 months
The interest rate is confusing. I will assume an interest rate of 6%. If it is not correct, just change it in the formula.
Monthly interest rate= 0.06/12= 0.005
To calculate the future value, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {100*[(1.005^216) - 1]} / 0.005
FV= $38,735.32
hello i am depresed
please
help
Answer:
Try relaxing, forget all problems at once, take deep breaths, because if you stress it could cause headaches. Listen to calming music, take a break every once in while. Try not to focus on the bad things that happened in your past! Focus on the good things in future that your smartness is allowing you to achieve! Trust me focusing on the bad things in life cause major headaches...never look back always look forward
I do not understand
Answer:
4/7
Step-by-step explanation:
there are 7 shapes in total, 4 of them are hexagons.
10c - cd + d (if c= -6 and d = 2)
Answer:
74
Step-by-step explanation:
Substitute the values of the variables into the equation. Good luck on your math journey!
Im in 6th and im too lazy to do this so please tell me the answer to both!! Tysm!
Answer:
Question 1: Yes
Question 2: Ralph
Step-by-step explanation:
[tex]\frac{3}{4} +\frac{2}{3} +\frac{3}{4} = 2\frac{1}{6}[/tex]
[tex]10.38 < 10.6[/tex]
The numbers 8, 1, −7, −12 are listed from greatest to least.
True or False
Answer:True
Step-by-step explanation:
The following frequency distribution shows the number of magazine
subscriptions per household for a sample of 60 households. Find the mean
number of subscriptions per household.
Number of magazines 0 1 2 3 4 5 6
Frequency
13 9 19 8 5 2 4
Answer:
2.0833333 or 25/12
Step-by-step explanation:
multiply each number of magazines by the frequency
0*13=0
1*9=9
2*19=38
3*8=24
4*5=20
5*2=10
6*4=24
Then add them all up,
9+38+24+20+10+24=125
Since there are 60 households, divide by 60
125/60= 2.083333 or 25/12
x2 - xy (if x = 8 and y = -3)
Answer: 40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
just subsitute and when their all sticking together it’s automatically multiplication.
8(2) - (8)(-3)
16- - 24
16+24
40
Simplify completely
(X^2+x-12/x^2-x-20)/(3x^2–24x+45/12x^2-48-60)
Answer:
(4 (x^4 - 20 x^2 - 12))/(3 x^2 (9 x^2 - 32 x - 144))
Step-by-step explanation:
Simplify the following:
(x^2 + x - x - 20 - 12/x^2)/((15 x^2)/4 + 3 x^2 - 24 x - 60 - 48)
Hint: | Put the fractions in x^2 + x - x - 20 - 12/x^2 over a common denominator.
Put each term in x^2 + x - x - 20 - 12/x^2 over the common denominator x^2: x^2 + x - x - 20 - 12/x^2 = x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2:
(x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2)/((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48)
Hint: | Combine x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2 into a single fraction.
x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2 = (x^4 + x^3 - x^3 - 20 x^2 - 12)/x^2:
((x^4 + x^3 - x^3 - 20 x^2 - 12)/x^2)/((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48)
Hint: | Group like terms in x^4 + x^3 - x^3 - 20 x^2 - 12.
Grouping like terms, x^4 + x^3 - x^3 - 20 x^2 - 12 = x^4 - 20 x^2 - 12 + (x^3 - x^3):
(x^4 - 20 x^2 - 12 + (x^3 - x^3))/(x^2 ((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48))
Hint: | Look for the difference of two identical terms.
x^3 - x^3 = 0:
((x^4 - 20 x^2 - 12)/x^2)/((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48)
Hint: | In (45 x^2)/12, the numbers 45 in the numerator and 12 in the denominator have gcd greater than one.
The gcd of 45 and 12 is 3, so (45 x^2)/12 = ((3×15) x^2)/(3×4) = 3/3×(15 x^2)/4 = (15 x^2)/4:
(x^4 - 20 x^2 - 12)/(x^2 (15 x^2/4 + 3 x^2 - 24 x - 60 - 48))
Hint: | Put the fractions in (15 x^2)/4 + 3 x^2 - 24 x - 60 - 48 over a common denominator.
Put each term in (15 x^2)/4 + 3 x^2 - 24 x - 60 - 48 over the common denominator 4: (15 x^2)/4 + 3 x^2 - 24 x - 60 - 48 = (15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4:
(x^4 - 20 x^2 - 12)/(x^2 (15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4)
Hint: | Combine (15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4 into a single fraction.
(15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4 = (15 x^2 + 12 x^2 - 96 x - 240 - 192)/4:
(x^4 - 20 x^2 - 12)/(x^2 (15 x^2 + 12 x^2 - 96 x - 240 - 192)/4)
Hint: | Group like terms in 15 x^2 + 12 x^2 - 96 x - 240 - 192.
Grouping like terms, 15 x^2 + 12 x^2 - 96 x - 240 - 192 = (12 x^2 + 15 x^2) - 96 x + (-192 - 240):
(x^4 - 20 x^2 - 12)/(x^2 ((12 x^2 + 15 x^2) - 96 x + (-192 - 240))/4)
Hint: | Add like terms in 12 x^2 + 15 x^2.
12 x^2 + 15 x^2 = 27 x^2:
(x^4 - 20 x^2 - 12)/(x^2 (27 x^2 - 96 x + (-192 - 240))/4)
Hint: | Evaluate -192 - 240.
-192 - 240 = -432:
(x^4 - 20 x^2 - 12)/(x^2 (27 x^2 - 96 x + -432)/4)
Hint: | Factor out the greatest common divisor of the coefficients of 27 x^2 - 96 x - 432.
Factor 3 out of 27 x^2 - 96 x - 432:
(x^4 - 20 x^2 - 12)/(x^2 (3 (9 x^2 - 32 x - 144))/4)
Hint: | Write ((x^4 - 20 x^2 - 12)/x^2)/((3 (9 x^2 - 32 x - 144))/4) as a single fraction.
Multiply the numerator by the reciprocal of the denominator, ((x^4 - 20 x^2 - 12)/x^2)/((3 (9 x^2 - 32 x - 144))/4) = (x^4 - 20 x^2 - 12)/x^2×4/(3 (9 x^2 - 32 x - 144)):
Answer: (4 (x^4 - 20 x^2 - 12))/(3 x^2 (9 x^2 - 32 x - 144))
does anyone know this :/ ?
Answer:
angles 7, 6, 3, 2 are all vertical angles, which mean they are congruent (equal)
so if angle 7 is 115° so are 6, 3, and 2
so the measure of angle 2 is 115°
Step-by-step explanation:
give the first person brainliest
What is the weight of Jim's dog? Jim's dog is
lbs *
1 pc
16.23 lb
Weight of John's Dog
Weight of Jim's Dog
?
?
Answer:
See Explanation
Step-by-step explanation:
See attachment for complete question:
Our word problem could.
The relationship between weight of Jim's dog and John's dog is shown below.
a. Calculate the weight of John's dog?
b. Calculate the difference in weight of both dogs?
Solution:
a. Weight of John's Dog
Given
Represent John's dog with J and Jim's dog with D
[tex]J = 16.23\ lb[/tex]
From the attachment, we can see that.
[tex]D = \frac{1}{3} * J[/tex]
[tex]D = \frac{1}{3}J[/tex]
To solve for D, substitute 16.23 for J
[tex]D = \frac{1}{3} * 16.23[/tex]
[tex]D = 5.41[/tex]
Hence: Jim's Dog is 5.41lb
b. Difference in Weight
Difference is calculated as thus:
[tex]Difference = J - D[/tex]
[tex]Difference = 16.23 - 5.41[/tex]
[tex]Difference = 10.82[/tex]
In a well-shuffled, standard 52 card deck, what is the probability that a card is a Queen, given that it is a black card? Answer choices are in a percentage format, rounded to the nearest whole number
Answer:
33%
Step-by-step explanation:
The probability that a card is a Jack, given that it is a face card, can be expressed as the conditional probability:
P left parenthesis J a c k vertical line F a c e right parenthesis equals fraction numerator P left parenthesis J a c k space a n d space F a c e right parenthesis over denominator P left parenthesis F a c e right parenthesis end fraction
The probability that a card is both a Jack AND a face card is 4 over 52, as there are only 4 cards in a deck that have both qualities.
The probability of a face card is12 over 52 as there are a total of 12 face cards in a deck of cards.
So the probability of a card being a Jack given that it is a face card is:
P left parenthesis J a c k vertical line F a c e right parenthesis equals fraction numerator begin display style bevelled 4 over 52 end style over denominator begin display style bevelled 12 over 52 end style end fraction equals 4 over 12 equals 0.33 equals 33 percent sign.
Given that,
In a well-shuffled, standard 52 card deck,
We have to determine,
What is the probability that a card is a Queen, given that it is a black card?
According to the question,
There are 52 card decks,
Let, the card being a jack is A and the card being a face card is B,
[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}[/tex]
Then,
The probability of the card is a jack and a face card:
[tex]\rm The \ probability \of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{4}{52}\\\\ The \ probability \ of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{1}{13}[/tex]
All jacks are face cards.
And the probability of there being a face card is,
[tex]\rm The \ probability \of \ face \ card \ (Conditional \ probability) = \dfrac{12}{52}\\\\ The \ probability \ of \ face \ card \ (Conditional \ probability) = \dfrac{3}{13}[/tex]
There are 12 face cards in a deck.
Therefore,
The probability of a card being a jack given that it is a face card is,
[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}\\\\\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{\dfrac{1}{13}}{\dfrac{3}{13}}\\\\The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\[/tex]
Convert the probability of a card being a jack given that it is a face card into a percentage,
[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3} \times 100\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = 33 \ percent[/tex]
Hence, The probability of a card being a jack given that it is a face card is, 33%.
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i need help it is math
Answer:
they are all right next to eachother
please help 50 points
Answer:
|J| = -40
Step-by-step explanation:
The determinant of a 2×2 matrix is the difference between the product along the down diagonal and the product along the up diagonal:
|J| (-2)(8) -(4)(6) = -16 -24
|J| = -40
Answer:
|J| = -40
Step-by-step explanation:
f(x)=x^2+6x+8 in factored form
Answer:
Step-by-step explanation:
The quadratic factors into (x + 4)(x + 2) When you remove the brackets, you get
x^2
2x
4x
8
They are all added and the 2x and 4x combine to get 6x.
Answer:
F (x) = x^2 + 6x+8 = F = x + 6 + [tex]\frac{8}{x}[/tex]
Step-by-step explanation:
Move all the expressions to the left side of the equation.
F(x)−x2−6x−8=0
Multiply F by x.
Fx−x2−6x−8=0
Move all terms not containing F to the right side of the equation.
Fx=x2+6x+8
Divide each term by x and simplify.
F = x + 6 + [tex]\frac{8}{x}[/tex]
I hope this helps.
!!!!PLEASE HELPPPP ITS DUE SOON!!!!
Answer:
can u please attach the photo
Step-by-step explanation:
i cannot see it clearly
5/6+7/8 must be simplified
Answer:
Depending on what form you want it in:
Exact Form:
41/24
Decimal Form:
1.708 3
.. (3 is infinite)
Mixed Number Form:
1 17/24 (The 1 in front is supposed to be a whole)
Step-by-step explanation:
5/6 + 7/8
First, you must make both denominators equal a same number.
6 x _ = 8 x _
The same number but also the least is least common denominator is 24.
4 (5/6) + (7/8) 3
20/24 + 21/24
= 41/24
Nadya’s cell phone provider charges a monthly fee of $35 for usage up to 200 minutes. If she uses more than this in a month, she is charged $0.23 for each additional minute. Let c represent the cost of Nadya’s bill if she uses m minutes of air time. Write an expression that can be used to find c if she used more than 200 minutes last month.
Answer:
c = $35 + $0.23m
Step-by-step explanation:
The expression is c = $35 + $0.23m
c is the cost of nadya's bill
m is the additional minutes
so if she uses more than 200 minutes the cost of her bill wiil be
$35 plus $0.23 multiply by the number of extra minutes spent.
Is 500% of less than 10, greater than 10 but less than 100, or greater than 100?
Answer: less
Step-by-step explanation:
If 100% of 10 is 10, we multiply 10 by 5 to get 500%.
10 x 5 = 50
500% of 10 will be equal to the number 50.
The answer is less.
Find the slope of the line
Answer:
3
Step-by-step explanation:
Plz help me find what ∠2 is measured to.
Answer:
73
Step-by-step explanation:
180-107=73
angle 1 is congruent to angle 3 which is 107 degrees
In a recent survey of college-educated adults, 324 indicated that they regularly work more than 45 hours a week. If this represents 36% of those surveyed, how many people were in the survey
Answer:
900 people
Step-by-step explanation:
.36x=324
×=324÷.36
x=900
900 people were in the survey.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
324 indicated that they regularly work more than 45 hours a week.
and 36% of those surveyed.
let the total people surveyed be x
36% of x= 324
36 x/100 = 324
36 x = 32400
x= 32400 / 36
x= 900
Hence, total 900 people are surveyed.
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Solve for the unknown quantity of x
15/2= 60/x
Answer:
Directions: Write the name and composition of the following composer/s below. Space provided for your answer.
Happy world teachers day! Hope any teachers out there who are reading this have a good day <3
Answer:
nice :)
Step-by-step explanation:
Is a function represented by the table linear? 10 -6 11 -1 1 12 6 13 12
Answer:
If so then this table is linear
Step-by-step explanation:
when looking at a table, to check if it is linear, simply look at the x values and if there are any duplicates then ur answer would not be linear. but for this table their are no duplicate x values so it is linear
If 2 triangles are similar which of the following conclusions can you make
Answer:
what
Step-by-step explanation:
what's the rest of the problem
the table represents a linear function
X
-2
-1
0
1
2
Y
8
2
-4
-10
-16
What is the slope of the function
-6
-4
4
6
The solution is Option A.
The slope of the equation is given by slope m = -6
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
The values of x = { -2 , -1 , 0 , 1 , 2 }
The value of y = { 8 , 2 , -4 , -10 , -16 }
Now , let the first point be represented as P
The coordinates of P = P ( -2 , 8 )
Let the second point be represented as Q
The coordinates of Q = Q ( -1 , 2 )
Now , the slope of the line between the two points is
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 2 - 8 ) / ( -1 - ( - 2 )
On simplifying the equation , we get
Slope m = ( -6 ) / ( -1 + 2 )
Slope m = -6/1
Slope m = -6
Therefore , the value of m is m = -6
Hence , the slope of the line is m = -6
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how do you estimate 17 1/5 divided by 3 4/5
Answer:
5
Step-by-step explanation:
this is all my 30 points please help
Find the surface area of the composite solid.
Answer:
221 I am sorry if I am wrong. I tried
Step-by-step explanation:
Solve for b. 3b+2(b-3)=4
A business supply store bought some merchandise with a list price of $13,800. The wholesaler extended a trade discount that made the net price $8,970. Find the trade
discount rate (as a %).
Answer:
The discount rate is %35! :)
Step-by-step explanation: