Answer:
y = 125x + 75
Step-by-step explanation:
Let x represents the week and
Let y represent the balance
When x = 2, y = 325.
This means
(x1,y1) = (2,325)
When x = 5, y = 700
This means
(x2,y2) = (5,700)
Required
Determine the equation
First, we need to solve for m, the slope
m = ∆y/∆x
i.e.
m = (y2 - y1)/(x2 - x1)
Substitute values for x and y
m = (700 - 325)/(5 - 2)
m = 375/3
m = 125
Next, we calculate the equation in slope intercept form using
y - y1 = m(x - x1)
Substitute values for m, x1 and y1
y - 325 = 125(x - 2)
y - 325 = 125x - 250
Collect like terms
y = 125x - 250 + 325
y = 125x + 75
Hence, the equation is:
y = 125x + 75
Answer: x=-125+950
Step-by-step explanation:
The value went from 700 to 325 in 3 weeks
700-325= 375 /3 =125
0=950
1=825
2=700
3=575
4=450
5=325
Shonda goes to a restaurant with no more than $15 to spend. She buys a burger that costs
$10.50 and one other item. Write an equation to express how much money Shonda spent at the
restaurant.
Answer:
she has 4.5
and she should´ve got bacon egg and cheese than that burger
Is weekly wage considered to be quantitive data or categorical data?
Answer:
Quantitative data
Step-by-step explanation:
Data that can be represented in digits are referred to as quantitative data while data that are in categories or grouped are referred to as categorical data.
A breakdown is:
Quantitative-> Digits e.g. 20, 45
Categorical -> Groups and categories e.g. sex, level, etc.
We understand that weekly wage is represented in digits.
e.g.
The weekly wage of A factory worker is $500.......
From the above example, the wage ($500) is expressed in digits.
The analysis above shows that weekly wage is a quantitative data.
If f(x) = 4x2 – 3x + 7, what is f(-2)?
Answer:
29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
Assuming that you meant the first term to be 4x² then you just plug in -2 to all of the x-values in the function
Hi , the answer I choose was wrong , what is the correct answer ? Will choose brainlest so be quick
Answer:
Not congruent
Step-by-step explanation:
Missing angel Q andK
Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C.
m= - 1/4,(-7,0)
The equation of the line in the form Ax+By=C is _________.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answer:
The equation of the line in the form Ax+By=C is [tex]\mathbf{ x+4y=-7}[/tex]
Step-by-step explanation:
We need to write an equation of line that have slope m= -1/4 and point(-7,0)
We would use slope-intercept form: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
We are given slope m = -1/4 but we need to find y-intercept
Finding y-intercept
Using the slope m= -1/4 and point(-7,0) we can find y-intercept (b)
[tex]y=mx+b\\0=-\frac{1}{4}(-7)+b\\0= \frac{7}{4}+b\\b=-\frac{7}{4}[/tex]
Now finding the equation of line having slope m= -1/4 and y-intercept b= -7/4
[tex]y=mx+b\\y=-\frac{1}{4}x-\frac{7}{4}[/tex]
Now converting into form Ax+By=C :
[tex]y=-\frac{1}{4}x-\frac{7}{4}\\y=\frac{-x-7}{4}\\4y=-x-7\\x+4y=-7[/tex]
The equation of the line in the form Ax+By=C is [tex]\mathbf{ x+4y=-7}[/tex]
22,389 ÷ 13=??R??
Please add the remainder and answer! I will give brainliest!
Answer:
1,722 R=3 hope this helps
Please help I will brainliest!! Really urgent!!
and tell you me how you go it, not just the answer please!❤️
Factor 1/9 out 1/9x + 10/9
Answer:
the answer is 50/5=89⅔
Answer: [tex]\frac{1}{9}(x + 10)[/tex]
Explanation:
Consider something of the form ab + ac. We can factor 'a' out to get a(b+c), then use the distribution property to get back to ab+ac.
So factoring is basically reversing the distributive property.
In this case, a = 1/9, b = x and c = 10.
So,
[tex]\frac{1}{9}x + \frac{10}{9} = \frac{1}{9}x + \frac{1}{9}*10 = \frac{1}{9}(x+10)[/tex]
Identify the exponential function whose graph is given below
Answer:
f(x)= -7 * 2^x
Step-by-step explanation:
The graph of the function goes through the point (0,−7) and (1,−14), so if f(x)= ab^x, then
f(0)= ab^0 = a
f(1)= ab^1 =ab
a=-7 and ab =-14 so,
b= -14/-7 = 2
thus the function is f(x)= -7 * 2^x
The exponential function y = -7b² is the required function.
What is an exponential function?An exponential function is a function which can be defined as y = aˣ, Where 'x' is a variable and 'a' is a constant.
From the given diagram,
The graph of the function go through the points (0,-7) and (1,-14),
And graph is exponential,
Let y= abˣ (1)
y₀ = a and y₁ = ab
At x=0, y₀ = -7 ⇒a=-7
and ab=-14 ⇒ b= 2
Substitute the value of a and b in equation (1) ,
The function,
y = -7b²
The required function is y = -7b².
To know more about Exponential function on:
https://brainly.com/question/11487261
# SPJ2
A person places $308 in an investment account earning an annual rate of 2.1%,
compounded continuously. Using the formula V = Pert, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 18 years.
Answer: 449.48
Step-by-step explanation:
The amount of money in the account after 18 years will be $449.5.
What is compound interest?Compound interest is the addition of interest to the principal sum of a loan or deposit. Mathematically -
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
where -
[A] = final amount
[P] = initial principal balance
[r] = interest rate
[n] = number of times interest applied per time period
[t] = number of time periods elapse
Given is that a person places $308 in an investment account earning an annual rate of 2.1%, compounded continuously.
We have the expression for compounding as -
V = P[tex]$e^{rt}[/tex]
V = 308 x [tex]$e^{(0.021)(18)}[/tex]
V = 308 x [tex]$e^{0.378}[/tex]
V = 449.5
Therefore, the amount of money in the account after 18 years will be $449.5.
To solve more questions on compound interest, visit the link below -
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Halla la suma de 3, ocho veces un número, y tres veces el mismo número
Answer:
huh?
Step-by-step explanation:
What value of x makes the equation 5(x - 3) + 2x = 41 TRUE?
Answer: x = 8
Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT
Answer:
x=8
Step-by-step explanation:
Follow the order of operations to simplify the equation:
5(x-3) +2x=41
Start by multiplying into the parenthesis: 5x-15+2x=41
Combine like terms: 5x+2x-15=41 then simplify: 7x-15=41
Add 15 to both sides: 7x=56
Divide both sides by 7 to get x by itself: x=8
Hope this helps! (^-^)
Find f(3) if f(x) = 4x - 10
Multiple choice -
I’ll appreciate it if someone helps
Answer:
2
Step-by-step explanation:
given f(x) = 4x-10
to find f(3), we simply substitute x = 3 into the function:
f(x) = 4x-10
f(3) = 4(3)-10
= 12-10
= 2
Answer:
2
Step-by-step explanation:
Since f(3), replace all the x's with 3s
f(3) = 4(3) - 10
3/25 divided by 1/8 please help me with this question I am Wrong
Answer:
.96 or 24/25
Step-by-step explanation:
Hope this helps!
Answer:
24/25
Step-by-step explanation:
3/25 × 8/1
8 × 3/25
3×8/ 25×1
24/25×1
24/25
SOLVE FOR X BRO'SSSS
Answer:
C) x = -2
Step-by-step explanation:
We just subtract, -19 + 7 = -2
2x + 7y = 28
7x - 2y = 4
Answer:
Step-by-step explanation:
2x. X = 2. H4. 4=22. 7.(2-x) = x+1 mai. شاليها. • -x=x+1. + (3 - 3 x + 1 +. 6-3x = 4x + 4. Bebetto. 2=7x -. - 4-2=34+12. - ý 2=2y+12. +. 3X= 12-X.
The range of both functions will be ?
A)the set of natural numbers
B)the set of integers
C)all real numbers
D)the set of whole numbers
E)the set of rational numbers
Answer:
it is b
bbbbbbb!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
what is the value of y when x=2y +4
Answer:
y = x/2 + 4
Step-by-step explanation:
x = 2y + 4
divide 2 + 4 on both sides in order to isolate y by its self.
x/2 + 4 = 2y + 4/2 + 4
x/2 + 4 = y
y = x/2 + 4
[image above]
i specifically need help with c & e.
Answer:
c : 2h-5
e: (4x - 3)/6 +5
Step-by-step explanation:
Why is “3 meals a day” a unit rate?The unchanging value of the ratio between two proportional quantities is
Answer:
Please check the explanation.
Step-by-step explanation:
'3 meals a day' is a unit rate because there is a 1 in the denominator.
A unit ratio is a fraction between two dissimilar units with a denominator 1.
'3 meals a day' indicate that someone is eating 3 meals in one day.
i.e. unit rate = 3 meals / per day
Therefore, we conclude that '3 meals a day' is a unit rate because there is a 1 in the denominator.
The unchanging value of the ratio between the two proportional quantities is called a constant of proportionality.
For example,
we know that the equation
[tex]y=kx[/tex]
where [tex]k[/tex] is the constant of proportionality and '[tex]y[/tex]' and '[tex]x[/tex]' are two proportional quantities, directly proportional to each other.
Thus, The unchanging value of the ratio between two proportional quantities is called the constant of proportionality.
15
The length of a plane is 19.2 metres.
Lukas buys a scale model of the plane.
The scale of the model is 1:24
Work out the length of the scale model of the plane.
Give
your answer in centimetres.
Answer:
[tex]Model = 80cm[/tex]
Step-by-step explanation:
Given
[tex]Length = 19.2\ m[/tex]
[tex]Scale=1:24[/tex]
Required
Determine the scale measurement in centimeters
The scale can be represented as: [tex]Model : Actual[/tex]
[tex]Scale = Model : Actual[/tex]
Substitute 19.2 for Actual Length
[tex]Scale = Model : 19.2\ m[/tex]
Represent as a fraction
[tex]Scale = \frac{Model}{19.2m}[/tex] --- (1)
Recall that:
[tex]Scale=1:24[/tex]
Represent as a fraction
[tex]Scale = \frac{1}{24}[/tex] --- (2)
Equate (1) & (2)
[tex]\frac{Model}{19.2m} = \frac{1}{24}[/tex]
Multiply through by 19.2m
[tex]Model = \frac{1}{24} * 19.2m[/tex]
[tex]Model = \frac{ 19.2m}{24}[/tex]
Convert to centimeter
[tex]Model = \frac{ 19.2 * 100cm}{24}[/tex]
[tex]Model = \frac{ 1920cm}{24}[/tex]
[tex]Model = 80cm[/tex]
Hence, the length of the scale model is 80 cm
Even though Tom's employer knows Tom will be working only 3 months, he has to
withhold the same amount that would be withheld if Tom were a full-time employee.
The deduction for federal tax is 16%. How much of Tom's gross pay was taken for this
tax?
Answer:
0.48
Step-by-step explanation:
I timed the percentage 0.16×3=0.48
Two points on a line are (-7,10)and (9,2). Two points on a line parallel to that line are are (1,3) and (x,4). What is the value of x
Answer:
x = -1
Step-by-step explanation:
When two lines are parallel, they have the same slope. To find the value of x, we first have to find the slope of the other line. We can do this by inputting the given points (-7, 10) and (9, 2) into the expression [tex]\frac{y2-y1}{x2-x1}[/tex]:
[tex]\frac{10-2}{-7-9}[/tex]
Solve:
10 - 2 = 8
-7 - 9 = -16
8/-16 can be simplified to -1/2.
The slope of the first line is -1/2. Now we can input the points (1, 3) (x, 4) into the expression used to find slope and equal that expression to the value of the first line's slope. We can do this because we know the slopes will be equal to each other.
[tex]\frac{4-3}{x-1}[/tex] = -[tex]\frac{1}{2}[/tex]
First simplify the left side:
4 - 3 = 1
[tex]\frac{1}{x-1}[/tex] = -[tex]\frac{1}{2}[/tex]
Now, multiply both sides of the equation by x - 1 to isolate the x on the right side of the equation:
1 = [tex]\frac{-x+1}{2}[/tex]
Multiply both sides by 2:
2 = -x + 1
Subtract 1 from both sides:
1 = -x
Divide both sides by -1 to isolate the x:
-1 = x
The value of x is -1.
To check if our answer is correct we can put the value of x back into the expression used to find slope:
[tex]\frac{4-3}{x-1}[/tex]
[tex]\frac{4-3}{-1-1}[/tex]
Solve:
4 - 3 = 1
-1 - 1 = -2
The slope of the second line is -1/2, which is the same as the slope of the first line, which means that our answer is correct.
Hope this helps :)
is 9pi > 27 a true inequality?
HELP PLEASE ITS TIMED AND GRADED I WILL GIVE BRAINLIEST AND 5 STARS
SOMEONE PLEASE HELP WITH MY MATH ON MY ACCOUNT PAGE
Answer:
Ok! :)
Step-by-step explanation:
Select all true statements, 25 points
Answer:
the first one and the last one
Step-by-step explanation:
What number am I? I am three digits long. My hundreds digit is an odd number. My tens and ones digit are a multiple of 5. All of my digits equal 16.
Answer:
925
Step-by-step explanation:
I think ;)
Anyone help me with this please:)
Answer:
130 is the answer
Step-by-step explanation:
hope this helps
Solve the inequality 3(x+1)<18
Answer:
3(x+1)<18
3x+3<18
3x<15
x<5
Step-by-step explanation:
The weekly salaries of elementary school teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. If one elementary school teacher is randomly selected, what is the probability that he/she earns less than $450 a week?
Answer:
The probability is [tex]P(X < 450 ) = 0.18703[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = \$ 490[/tex]
The standard deviation is [tex]\sigma = \$ 45[/tex]
Generally the probability that he/she earns less than $450 a week is mathematically represented as
[tex]P(X < 450 ) = P(\frac{X - \mu }{\sigma} < \frac{450 - 490}{45} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X < 450 ) = P(Z < -0.8889 )[/tex]
From the z table the area under the normal curve to the left corresponding to -0.8889 is
[tex]P(Z < -0.8889 ) = 0.18703[/tex]
=> [tex]P(X < 450 ) = 0.18703[/tex]