Answers
An equation that relates T to N can be written as T = 750 + 630N.
What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
What is a function?A function can be defined as a mathematical expression which can be used to define and represent the relationship that exist between two or more variables in a population (data set).
How to write an equation relating T to N.Since the total amount saved by using both plans (functions A and B) is represented by T, an equation that relates T to N can be written as follows:
T = A + B
Substituting the given parameters into the formula, we have;
T = (750 + 135N) + 495N
T = 750 + 135N + 495N
T = 750 + 630N.
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Complete Question:
Raina and her husband are each starting a saving plan. Deshaun will initially set aside $750 and then add $135 every month to the savings. The amount A (in dollars) saved this way is given by the function A=750+135N , where N is the number of months he has been saving. Her husband will not set an initial amount aside but will add $495 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=495N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N.
Simplify your answer as much as possible.
Related Questions
Help ASAP please please please
Answers
Answer:
Step-by-step explanation:
5/6 + 7/9 = 1 11/18
Need answers please help
Answers
Answer
Yes, zero is contained in the interval
If Moore Motors buys at cost a truck for $4,000 and plans to sell it for $6,000, the percent markup on cost is:
Answers
Answer: 50%
Step-by-step explanation:
(6000-4000)/4000= 2000/4000
=2/4=1/2
(1/2)100=50
you have to use distributive property
Answers
Answer:
-56n+7m
explanation:
simply the expression
\(solution \\ - 7(8n - m) \\ - 7(8n) - 7(-m) \\ = - 56n +7m\)
\( \huge \colorbox{pink}{Answer} \)
- 56n + 7mCorrect me if I'm wrong
Hope it helps ^_^
consider the funciton f given by f(t)=log49(t7). find values for a and b such that f(t)=a+logb(t).
Answers
The values for a and b such that f(t) = a + logb(t) are,
a = log(1/log(49))
b = 49
Therefor
We can start by simplifying the expression for f(t)
f(t) = log49(t7)
f(t) = log(t7)/log(49) [Using the change of base formula]
Now we can rewrite f(t) as:
f(t) = log(t)/log(b) + a [Using the logarithmic properties log(ab) = log(a) + log(b)]
Comparing this expression with f(t) = a + logb(t), we can see that:
a = log(1/log(49)) [since log(b) = 1/log(49)]
b = t
Therefore, we have
f(t) = log(t7)/log(49) = log(t)/log(b) + log(1/log(49))
= log(t)/log(49) + log(1/log(49))
= log(1/log(49)) + log(t)/log(49)
So, a = log(1/log(49)) and b = 49.
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Find the equation of a line with a slope of 13/2
that passes through the point (−2, — 10).
Answers
Answer: \(y=\frac{13}{2} x+3\)
Step-by-step explanation:
Remember the point-slope equation which is \(y-y_{1} = m(x-x_{1} )\) where\((x_{1} , y_{1} )\) is your point and \(m\) is your slope.
Given that we substitute what you have:
\(y-(-10) =\frac{13}{2} (x - (-2))\)
Minus and minus give us positive:
\(y+10 =\frac{13}{2} (x +2)\)
Multiply slope into the parenthesis:
\(y+10= \frac{13}{2}x + \frac{13}{2}*2\\\)
Calculate it:
\(y+10= \frac{13}{2}x +13\)
Isolate the \(y\) by subtracting 10 from both sides:
\(y=\frac{13}{2} x + 13 -10\)
Your final equation is:
\(y=\frac{13}{2} x +3\)
Hope this makes sense!
And here's the graph to prove that the line actually goes through the point \((-2,-10)\):
Which fraction can be expressed as a non-terminating decimal?
Answers
Answer:
\(\frac{7}{9} = 0.777777 ..\)
\(\frac{1}{3} = 0.33333..\)
Step-by-step explanation:
Explanation:-
Non -terminating decimals are the one that does have an end term. it has infinite number of terms
Example :-
\(\frac{7}{9} = 0.777777 ..\)
\(\frac{1}{3} = 0.33333..\)
13/2^2-10(13/2)+23 find the answer just evaluate
Answers
Answer:
Step-by-step explanation:
-38 3/4
Need help with this ASAP!
A postcard has an area of 6 square inches. Two enlargements of the post card have areas of 24 square inches and 96 square inches. In each postcard, the length is 1 1/2 times the width. Which of the following could be the dimensions of the postcard or one of the enlargements? Mark all that apply.
A. 4 inches by 12 inches
B. 3 inches by 8 inches
C. 2 inches by 3 inches
D. 8 inches by 2 inches
E. 4 inches by 6 inches
Answers
9514 1404 393
Answer:
C, E
Step-by-step explanation:
You're looking for answer choices that have two characteristics:
a) a product of 6, 24, or 96
b) a ratio of 1 1/2 = 3/2
__
A -- product = 48, not viable
B -- product = 24, ratio = 8/3, not viable
C -- product = 6, ratio = 3/2 . . . . . could be the dimensions
D -- product 16, not viable
E -- product 24, ratio = 6/4 = 3/2 . . . . could be the dimensions
A house on the market was valued at $225,000. After several years, the value decreased by 9% how much did the house's value decrease in dollars? What is the current value of the house?
Answers
Decrease: $20,250
Current value: $204,750
Step-by-step explanation:
To find the 9% of $225,000:
9 x 225000
(divide) 100
= 20,250
To find the current value:
225,000
- 20,250 = $204,750
Hope this helps :)
Pls help me I need the answer ASAP no rocky. What is the median of the data set
Answers
Answer:
go back in the lesson and relearn this is 6th grade work
Find the value of x, 6,4, 3x, 4x+1
Answers
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
E-Drag and drop each point into the correct category to show whether each point could represent anx-intercept, y-intercept, both, or neither.(0,0)(140)(3.8)(-5,0)(0,7)
Answers
The y-intercept is where the function crosses the y-axis. Is the value of y when x=0
The coordinates of the y-intercept can be expressed as: (0, y)
The x-intercept is where the function crosses the x-axis. Is the value of x when y=0.
The coordinates of the x-intercept can be expressed as: (x, 0)
So given the coordinates:
(0,0) → this coordinate is called "origin" both x and y coordinates are zero, it represents both the x-intercept and the y-intercept
(14,0)→the y-coordinate is zero, this means that this point represents the x-intercept
(3,8)→ none of the coordinates is zero, this point does not intercept any of the axis.
(-5,0)→ the y-coordinate is zero, this point is over the x-axis, therefore it represents the x-intercept
(0,7)→the x-coordinate is zero, this point is over the y-axis, it represents an y-intercept.
What is an equation of a line, in point-slope form, that
passes through (1, – 7) and has a slope of -2/3
y-7= }(1-1)
y+7= (1+1)
y-7=-|(+1)
y+7=-3(2-1)
Answers
Answer:
y + 7 = -2/3 (x - 1)
Step-by-step explanation:
Point-slope form is y - y1 = m (x - x1)
-7 is y1, -2/3 is m, and 1 is x1
When you plug the values in, you get y + 7 = -2/3 (x - 1)
Write an equation in general form (Ax+By+C =0) for the line that passes through A(2, 4) and B(11, 8).
Answers
Answer:
4x - 9y + 28 = 0------------------------
Find the slope of AB:
m(AB) = (8 - 4)/(11 - 2) = 4/9Use point-slope form and point A(2, 4) to determine the line:
y - 4 = (4/9)(x - 2)Multiply both sides by 9 to clear fraction:
9(y - 4) = 4(x - 2)Open parenthesis and convert the equation into ax + by + c = 0:
9y - 36 = 4x - 8 ⇒4x - 9y - 8 + 36 = 0 ⇒4x - 9y + 28 = 0please can someonehelp me with this please.
here is the picture
Answers
The domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.
What is Domain of a function?Domain is the set of {x} - values for which a function {y - values} exists. It is one of the important parameter while defining the characteristics of a function.
Given is the function as -
f(x) = (x - 3)²
{ 1 } -
The domain of the function f(x) = (x - 3)².
The function has no undefined points. So, we can write the domain as -
Domain → (- ∞ , + ∞)
{ 2 } -
The inverse of the function f(x) = (x - 3)².
We have -
f(x) = (x - 3)²
y = (x - 3)²
x = (y - 3)²
y - 3 = √x
y = 3 + √x
Therefore, the domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.
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What is the value of
(
4
−
1
4
)
÷
(
2
−
1
2
)
?
Answers
Answer:
Step-by-step explanation:
(4-14)÷(2-12)=-10÷-10
= 1
Please gimme the variables to define the sytem and 2 system of equations
Answers
Answer:
\(8.5x+4y=99.5,\ x+y=17\)
Step-by-step explanation:
\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)
1. The equation y = 12.5x + 2 is a linear function. The table below represents another linear function.
X ..........Y
-3 ....... -28.5
-1 ........ -6.5
1........ 15.5
3........ 37.5
Of these two functions, what is the value of the greater rate of change?
Answers
The greater rate of change is 12.5, which is the rate of change of the first function.
The rate of change of a linear function is the slope of the line, which is represented by the coefficient of x in the equation y = mx + b. Therefore, the rate of change of the first function y = 12.5x + 2 is 12.5.
To find the rate of change of the second function, we can use any two points on the table and use the formula:
rate of change = (change in y) / (change in x)
Let's use the points (-3, -28.5) and (3, 37.5):
rate of change = (37.5 - (-28.5)) / (3 - (-3))
rate of change = 66 / 6
rate of change = 11
Therefore, the greater rate of change is 12.5, which is the rate of change of the first function.
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Slope of the line that passes through (6,0) and (0,-6)
Answers
Hey there!
The formula is:
• m = rise / run
• m = y₂ – y₁ / x₂ – x₁
• y₂ = –6
• y₁ = 0
• x₂ = 0
• x₁ = 6
• Equation: “–6 – 0 / 0 – 6”
–6 – 0 = –6 ⬅️ numerator (TOP number)
0 – 6 = –6 ⬅️ denominator (BOTTOM number)
Equation: –6 / –6
SOLVE above and you will have your ANSWER.
–6 / –6 = 1 because double negatives makes a negative.
The slope of line that passes through your given points is: 1
Answer: 1 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars. At the counter, he received a discount. If he only paid 22 dollars total, how many dollars was the discount?
Answers
There was 4 dollar of discount on the total amount.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.
At the counter, he received a discount. If he only paid 22 dollars total, then
Total cost 11 + 15 = 26
But 26 - 22 = 4
Therefore, the discount was 4 dollar.
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Lin runs 4 laps around a track in 12 minutes.
If Lin runs 14 laps at the same rate, how long does it take her?
Answers
Answer:
it would take her 42 mins
Step-by-step explanation:
Mr. Smith and Mr. Stein were driving to a business meeting 140 miles from their office. Mr. Smith drove the first
miles, then Mr. Stein drove the rest of the way.
Write an algebraic expression for how many miles Mr. Stein drove
Answers
This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.
How to determine the algebraic expression?An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It can be simplified, evaluated, or manipulated using algebraic rules and properties.
Let x be the number of miles Mr. Smith drove. Then, the number of miles Mr. Stein drove is \(140 - x\) , since they drove a total of 140 miles and Mr. Smith already drove x miles.
the algebraic expression for how many miles Mr. Stein drove is:
\(140 - x\)
Therefore, This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.
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Tavi is solving 29.3÷0.13. She multiplies 0.13 by 100 to get 13. Then she multiplies 29.3 by 10 to get 293. Finally she divides using the steps of long division. Which of these is true?
a. Tavi solved this problem correctly
b. Tavi's answer will be incorrect unless she divides it by 10 at the end.
c. Tavi's answer will be incorrect because she should have multiplied 0.13 by 10 not 100
d. Tavi's answer will be incorrect because she should have multiplied 29.3 by 100.
Answers
Answer:
its d not c you will get it wrong if you pick c
Step-by-step explanation:
4. [0/2 Points]. DETAILS
(b) g(g(3))
Use f(x) = 5x - 4 and g(x) = 2x2 to evaluate the expression.
(a) f(f(2))
how do i solve this?
Answers
Answer:
324
Step-by-step explanation:
To evaluate (a) f(f(2)), we first evaluate f(2) which is 52-4 = 6. Then, we evaluate f(6) which is 56-4 = 26. So, f(f(2)) = 26.
To evaluate (b) g(g(3)), we first evaluate g(3) which is 23^2 = 18. Then, we evaluate g(18) which is 218^2 = 324. So, g(g(3)) = 324
Find the equation of the tangent line to the graph of the function f(x)=(x^2+6)(x−4) at the point (1,−21) .
im stumped and this is due soon, please help
Answers
The equation of the tangent line of the function is y = x + 20
How to find the equation of the tangent linef(x)=(x^2+6)(x−4)
expanding the function gives
f(x)=x^3 - 4x^2 + 6x - 24
At a specific point the slope, m is the derivative
finding the derivative of f(x)
f'(x) = 3x^2 - 8x + 6
The derivative at the point (1, -21) is found by substituting the point to the equation
f'(1) = 3 * 1 - 8 * 1 + 6 = 1
the slope, m = 1
equation of the line of slope = 1 passing through point (1, -21) is calculated using the point slope formula which is
(y - y') = m(x - x')
(y - -21) = 1(x - 1)
y + 21 = x - 1
y = x + 20
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14
What is the interquartile range of the data shown in the box plot?
17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
10
16
12
Answers
The interquartile range of the data shown in the box plot is 10.
What is a range in a set of data?The range is the difference between the highest value and the lowest value of a given set of data.
We have,
Arrange the given data in order.
17 18 19 20 21 22 23 24 25 26, 27 28 29 30 31 32 33 34 35 36
The interquartile range is the difference between the upper half and the lower half.
The upper half = 31.5
The lower half = 21.5
The interquartile range.
= 31.5 - 21.5
= 10
Thus,
The interquartile range is 10.
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how do i solve this Please give me a advise
Answers
The probability of spinning an even number, flipping tails, then spinning an odd number is:
1/9 (as fraction) or 11.11% (as percent)
How to find the probability of spinning an even number, flipping tails, then spinning an odd number?
To find the probability of spinning an even number, flipping tails, then spinning an odd number. We need to consider the individual probabilities. That is:
We have only one even number in the spinner, and that is 2. Thus,
P(even number) = 1/3
For a coin, the probability of head or tail is 1/2. Thus,
P(tail) = 1/2
We have two odd number in the spinner, and that is 1 and 3. Thus,
P(odd number) = 2/3
Therefore, the probability of spinning an even number, flipping tails, then spinning an odd number will be:
P(even, tail, odd) = 1/3 * 1/2 * 2/3
= 2/18
= 1/9 (as fraction)
In percent:
P(even, tail, odd) = 1/9 * 100
= 11.11%
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There
are five marbles in
a bag. Three are green and
two are yellow. You draw a
marble, replace it, and then
Draw another. What is the
probability of choosing two
yellow marbles?
Answers
Answer:
like 20 percent
Victoria is paid a salary of 420.00 a week at her job. She worked 7hours of overtime during the holidays, and her weekly paycheck came to581.00 . What is her overtime pay per hour?
Answers
Victoria's overtime pay per hour is approximately $23.00.
To find Victoria's overtime pay per hour, we need to determine how much she earned for those 7 hours of overtime.
Her regular salary per week is $420.00, and her total paycheck, including overtime, is $581.00.
The difference between these two amounts represents the overtime pay she received.
Overtime pay = Total paycheck - Regular salary
Overtime pay = $581.00 - $420.00
Overtime pay = $161.00
Now, we can calculate the overtime pay per hour by dividing the total overtime pay by the number of overtime hours worked.
Overtime pay per hour = Overtime pay / Number of overtime hours
Overtime pay per hour = $161.00 / 7 hours
Overtime pay per hour ≈ $23.00
Therefore, Victoria's overtime pay per hour is approximately $23.00.
It's important to note that overtime pay is typically calculated at a higher rate than regular pay to compensate employees for working additional hours.
The specific rate may vary depending on factors such as company policies, labor laws, or any applicable collective bargaining agreements.
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