Using simple linear equations, we can calculate that Andy has 3 quarters.
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Let the number of quarters Andy has = x
number of dollars Andy has = 20 - x
value of quarter = 0.25x
value of dollars = 0.5(20 - x)
Total value = $9.25
⇒ 0.25x + 0.5(20 - x) = 9.25
⇒ 0.25x + 10 - 0.5x = 9.25
⇒ - 0.25x = 9.25 - 10
⇒ - 0.25x = - 0.75
⇒ x = 3
Andy has quarter = 3
He has dollars = 20 - 3 = 17
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Mathwatch question please help
Answer:
before 7 = 10%
after 7 = 90
Step-by-step explanation:
percetanges are part/whole
before 7 there are 15 people (the part) and in total there are 150 (the whole) so divide 15 by 150 and miltiply by 100 to get 10
after 7 there are 135 (the part) and the total is still 150 (the whole) so divide 135 by 150 and multiply by 100 to get 90
jimmy had a balance of -$176 in his bank account. After he deposited $500 into his account, what was Jimmy's new balance
The new balance in Jimmy's account is 324.
What does account mean in math?An account is a record that records financial transactions concerning a specific asset, liability, equity, revenue, or expense in an accounting system. As the business events take place throughout the course of the accounting period, these records grow and shrink. The general ledger stores each individual account and is used to create financial statements at the end of an accounting period.
ACCORDING TO GIVEN STATEMENT;
Jimmy had a deposited amount of $500
minus $176, per the information provided;
his new balance is $500 minus $176,
= $324.
The new balance in Jimmy's account is 324.
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tell whether -5 is a solution of the inequities
1. b+6 > 1
Answer: False, not a solution because 1 is not greater than 1.
Step-by-step explanation:
Original Equation: b + 6 > 1
[plug in -5 for b] -5 + 6 > 1
[reduce] 1 > 1
One is not greater than one, therefore, it is false.
Think about the function f(x) = 3 - 2x.
What does the notation f(0) mean?
The output value of f(0) in the given function is 3, these form an ordered pair of the y-intercept (0,3).
What is the output value of f(0)?Given the function in the question;
f(x) = 3 - 2xf(0) = ?f(0) equals to the value gotten when 0 replaces all the occurrences of x in the function, this gives an ordered pair of the y-intercept.
f(x) = 3 - 2x
f(0) = 3 - 2(0)
Simplify
f(0) = 3 - 0
f(0) = 3
Therefore, the output value of f(0) in the given function is 3, these form an ordered pair of the y-intercept (0,3).
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Suppose that between the ages of 22 and 40, you contribute $3000 per year to a 401(k) and your employer contributes $1500 per year on your behalf. The interest rate is 8.3% compounded annually.
a.) What is the value of the 401(k) rounded to the nearest dollar after 18 years?
b.)Suppose that after 18 years of working for this firm, you move on to a new job. However, you keep your accumulated retirement funds in the 401(k). How much money to the nearest dollar, will you have in the plan when you reach 65?
c.) What is the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan?
The value of the 401(k) after 18 years is $173,526 , the value of the 401(k) at the age of 65 is $1,273,424 and the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan is $1,192,724
As per the given information, you contribute $3000 p.a. and your employer contributes $1500 p.a. to a 401(k)
So, the total amount contributed for 401(k) = $3000+$1500 = $4500 p.a.
This is a case of annuity because fixed amount is contributed each year.
Future value of an annuity is given by a formula = a [tex]\frac{(1+i)^{n} -1}{i}[/tex]
Where, a = annuity = $4500
i = rate of interest = 8.3% p.a. or 0.083
n = no. of years or periods = 18
Now, substituting the values in the formula,
FV of Annuity = 4500 [tex]\frac{( 1+ 0.083)^{18}-1 }{0.083}[/tex]
= 4500 [tex]\frac{4.2006 - 1}{0.083}[/tex]
= 4500 × 38.5614
= 173526.3
The future value of 401(K) after 18 years is $173,526
Now, After 40 years no contributions are made to the funds. Therefore, the future value at age 65 (after 25 years):
By applying compound interest formula, the future value = p × [tex](1+i)^{n}[/tex]
Here, p = present value or principal amount = $184,036
i = rate of interest = 8.9% or 0.089
n = no. of years or periods = 25
Substituting the values:
Future value = $173526 × [tex](1+0.083)^{25}[/tex]
= 173526 × 7.34025
= 1273724.22
You will have $1,273,424 in the plan at age 65.
Now, The difference between the amount of money you will have accumulated ate the age of 65 and the amount you
contributed (for 18years) in the plan = $1,550,956 – ($4500×18)
= $1273724 - $81000
= $1,192,724
Hence, the value of the 401(k) after 18 years is $173,526 , the value of the 401(k) at the age of 65 is $1,273,424 and the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan is $1,192,724
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calculate the slope between the two points (6, 5) and (2, 13).
A. zero
B. undefined
C. -2
D. 10
Answer:
M= -2
Step-by-step explanation:
13-5=8
2-6=-4
8/-4= -2
The formula for slope is Y2-Y1/X2-X1.
so in this case it would be 13-5 divided by 2-6.
The grid above shows the graph of the parent function
f(x)=|x|
and a translated functions graph.
Write the equation for the translated graph.
Ps: please only answer if you can explain it/help me understand it.
The parent function, f(x) = |x|, and the graph of the parent and translated function, gives the equation of the translated graph as; f(x) = |x + 3|
Which equations can be used to represent the given graphs?The given parent function is; f(x) = |x|
From the parent function, we have;
When x = 0, f(0) = 0
The graph of the parent function is therefore the red graph.
The location of the vertex of the translated graph is at (x - 2, y + 1)
Given that the slope of the image of the graph of the parent function is the same as the slope of the graph of the parent function, we have;
(x, y) → (x - 2, y + 1)
Therefore in the image, the coordinates of y = x + 3
Which gives the equation for the translated graph as; y = |x + 3|
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Find the value of x when 5 - x = 12x + 4
Answer:
5-4=12x+x
1=13x
1/13=×
What is the equation of the line that passes through the point (-1,8) and has a slope of −6?
Answer:
y=-6x+2
Step-by-step explanation:
we know the slope is -6
at -1 it should be at 6
to get 6 to 8 add 2
Trei kilograme de mere si patru kilograme de pere costa 43 de lei,iar cinci kilograme de mere si trei kilograme de pere costa 46 de lei.Cat costa un kilogram de mere si cat costa un kilogram de pere? Repede dau coroana!!!
Answer: ifrkjnvkrhlkv
Step-by-step explanation: yeah
How do you do number 10? I got it wrong and is the only one I'm stuck on. PLEASE HELP, thanks!
Answer:
[tex]x=\frac{3\left(-y+6\right)}{7}[/tex]
Step-by-step explanation:
[tex]14x+6y-6y=36-6y\\14x=36-6y\\Divide\\\frac{14x}{14}=\frac{36}{14}-\frac{6y}{14}\\\frac{14x}{14}\\\frac{14}{14}= 1\\\frac{36}{14}-\frac{6y}{14}\\\frac{36-6y}{14}\\36-6y\\6\cdot \:6-6y\\=6\left(6-y\right)\\=\frac{6\left(6-y\right)}{14}\\=\frac{3\left(-y+6\right)}{7}[/tex]
Hope this helps you, and I hope that you get un-stuck! Have a good day.
i hope this helps you
have a nice day
A rental truck costs $53.45 for a day plus 69€ per mile.
(a) If x is the number of miles driven, write an expression for the total cost C, in dollars, of renting the truck for a day.
C=
Total cost is $ 11,369.45
Rental truck costs $53.45 for a day $69 per mile.
a) If x is the number of miles driven
So, c(x)=53.45+69(x)
c=53.45+69x
b) If x=164 miles
c=53.45+164
c=53.45+11,316
c=$11369.45
∴Total cost is $11,369.45
What does number of miles mean?
the aggregate number of miles traveled over in a given time. length, extent, or distance in miles. the number of miles or the average distance that a vehicle can travel on a specified quantity of fuel: the car gets good mileage.
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Points: 0 of T
Christine went shopping and bought each of her five nephews a gift, either a video costing $14.95 or a CD
costing $16.88. She spent $78.61 on the gifts. How many videos and how many CDs did she buy?
...
Save
The number of videos will be 3 and the number of CDs will be 2.
What is an expression?Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Christine went shopping and bought each of her five nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $78.61 on the gifts.
The number of the videos and CD will be calculated by forming an equation:-
14.95x + 16.88y = 78.61
From heat and trial, we put x = 3 and y = 2 then calculate.
14.95 x ( 3 ) + 16.88 x ( 2 ) = 78.61
44.85 + 33.76 = 78.61
78.61 = 78.61
Therefore, the number of videos will be 3 and the number of CDs will be 2.
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For the function f, construct and simpli
1) f(x)=9x+2
Pre-Calc
Answer:
For the function f(x) = 9x f(x + h) - f(x) construct and simplify the difference quotient h 3 1 The difference quotient for f(x) = is 9x
Step-by-step explanation:
3. Which of the following is not a rational number?
A) 2.4819327451.....
B) √25
C) 9.1
D) V512
(D) V512 is not a rational number.
What are rational numbers?A rational number is any number that can be written as a fraction and has both the numerator (the top number) and the denominator (the bottom number) being integers and not equal to zero. In other words, a rational number is p/q, where p and q are both integers and q = 0. A rational number is one that has the form p/q, where p and q are integers and q is greater than zero. Some rational number examples include 1/3, 2/4, 1/5, 9/3, and so on.Since, numbers in options (A), (B), and (C) can be written in fractions, then these numbers are rational numbers.
V512 cannot be written in fractions as we don't know what V is.So, V512 is not rational.Therefore, (D) V512 is not a rational number.
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If x=2 and y =3 what is the value of 2x^3 +5-10
Answer: 11
2x^3 + 5 - 10 =
2(2)^3 + 5 - 10 =
2(8) - 5=
16-5=11
Step-by-step explanation:
During each shift, there are nurses needed at each ward. If
there are three shifts in a day, each nurse only can be on duty
for one shift each day. How many more nurses does the
hospital need to employ?
The hospital needs to employ 21 nurses, 7 for each shift.
What are permutations and combinations?Permutations and combinations are the various ways in which objects from a set can be selected, generally without replacement, to form subsets. When the order of selection is a factor, this selection of subsets is called a permutation; when order is not a factor, it is called a combination.So, there are 3 shifts in a day and 7 nurses are needed for each shift.
Then,
7 × 3 = 21Therefore, 21 nurses are needed, 7 for each shift.
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The complete question is given below:
During each shift, there are 7 nurses needed at each ward. If there are three shifts in a day, each nurse only can be on duty for one shift each day. How many more nurses does the hospital need to employ?
1.) The function g is related to one of the parent functions
g(x) = x^2 + 6
The parent function f is:
f(x)= x^2
Use function notation to write g in terms of f.
Step-by-step explanation:
if [tex]f(x) = {x}^{2} [/tex]g(x)=f(x) +6 is the solution!
ANSWER ALL WITH THE NUMBER LABELED:))
If you could exactly afford either 2 units of x and 7 units of y, or 4 units of x and 3 units of y, then if you spent all of your income on y, how many units of y could you buy?
Answer:
11 units of y
Step-by-step explanation:
Let total income be I
We have the two equations
2x + 7y = I (1) (exactly afford 2 units of x and 7 units of y)
4x + 3y = I (2) (exactly afford 42 units of x and 3 units of y)
Multiply (1) by 2
==> 2(2x + 7y) = 2 x I
==> 4x + 14y = 2I (3)
Subtract (2) from (3)
(3) - (2)
==> 4x + 14y - (4x + 3y) = 2I - I
==> 4x + 14y - 4x - 3y = 2I
==> 14y - 3y = I (x terms cancel)
==> 11y = I
This represents an equation where if you buy 11 units of y, it will be your whole income
Answer: 11 units of y
what is the rules of rounding errors
Answer: Rounding error is the difference between a rounded-off numerical value and the actual value. A rounded quantity is represented by a numeral with a fixed number of allowed digits, with the last digit set to the value that produces the smallest difference between the rounded quantity and the actual quantity.
The following frequency table summarizes the number of children that dads in Dads Club have.
Number of children Number of members
111 666
222 444
333 888
444 111
555 111
Based on this data, what is a reasonable estimate of the probability that the next dad to join Dads Club has fewer than 333 children?
The reasonable estimate of the probability that the next dad to join Dads Club has fewer than 333 children is 50%.
How to illustrate the information?Number of children for 333 = 111 members
It should be noted that the total members is illustrated as:
= 666 + 111 + 111 + 888
= 1776
Therefore, the reasonable estimate of the probability that the next dad to join Dads Club has fewer than 333 children:
= 888 / 1776
= 50%.
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Correlation coefficient: If the correlation coefficient for a given scatterplot is r = -0.81, which of the following must be true about the relationship between the explanatory and response variable?
A) The association has a linear form.
B) The association must be positive.
C) The slope must be negative.
D) The association is weakened by outliers.
Answer:
C) The slope must be negative.
Step-by-step explanation:
Correlation coefficient between the explanatory variable x and the response variable y shows whether increases in x will result in an increase or decrease in y
Here correlation coefficient is r = -0.81
Since it is negative, that means the slope of least-squares regression line will be negative
Answer:
C. The slope must be negative.
Step-by-step explanation:
The association has to be negative because if the scattetplot. is 0.81 then the relationship between the exploratory and response variable.
solve. what would be the points on a coordinate plane
y + 1/3x=4
The coordinate points on the line plotted satisfy the equation -
y + 1/3x = 4.
We have the equation of a straight line.
We have to find the coordinates that satisfy this equation.
What is the general equation of a straight line ?The general equation of straight line is -
y = mx + c
According to the question -
y + 1/3x=4
y = - (1/3)x + 4
Comparing it with general equation of line, we get -
m = - 1/3 and c = 4
Now, we will plot the line on graph -
All the coordinate points that are present on this line satisfy the equation of line. The graph extends in both the direction along the x - axis.
Hence, the coordinate points on the line plotted satisfy the equation
y + 1/3x = 4.
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How many ounces are in 10 pints
Answer: 160 ounces
Step-by-step explanation:
1 pint=16 ounces
10 pints * 16 ounces/1 pint=
10*16/1=
10*16=160 ounces
Answer:
192.152
Step-by-step explanation:
there in us ounces
Ab’s a midpoint. Find the value of x.
Answer:
b) x=25
Step-by-step explanation:
If B is a midpoint, then segments AB and BC should be equal to each other.
Then you can make an equation making both segments equal to one another:
2x-8=x+17
2x-x=17+8
x=25
Points: 0 of 1
A jet plane traveling at 500 mph overlakes a propeller plane traveling at 150 mph that had a 3-hour head start. How far from the starting point are the planes?
1
The planes are miles from the starting point.
(Simplify your answer. Type an integer, fraction, or mixed number.)
Answer:39
Step-by-step explanation:
njhhvhj
2|x+7|=18
explain steps
Answer:
x=2
Step-by-step explanation:
2x+14=18
2x=18-14
2x=4
x=4/2=2
x=2
hope u understand
Beth rode 45,000 feet on her bike, and Cayden rode 2.5 x 104 ft on his bike. Did Beth or Cayden
ride FURTHEST and by how many feet?
The graph of function f(x) is shown below. At which value of x is the slope of the tangent line to the curve equal to 0?
The slope of the tangent is equal to zero when the derivative is equal to zero, in other words when the function attains a local extremum (maximum or minimum)
So we have to ask ourselves, at which "x" value does f(x) admit a maximum or minimum.
From the graph we can tell that it is at the point of abscissa 2
Answer: x=2