In the 2nd week of the year Carrie had $700 in her savings account. At 5 weeks she had $325. What is the equation that represents this situation?
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
Suki split five dog treats equally among her six dogs. Which fraction represents this division?
Answer Quick!!!
Answer:
5/6
Step-by-step explanation:
There are 5 dog treats among 6 dogs, so we divide 5 by 6 to get 5/6 of a treat.
What did I do wrong??
A group of scientists studied the amount of erosion at a beach. The scientist determined that the equation y=-0.5x+26 models the amount of shoreline,y,in feet,x decades after 1950.What state is true based on the model?
Answer:
Try A
Step-by-step explanation:
The shoreline is reduced by 0.5 feet every 10 years. Then the correct option is A.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A group of scientists studied the amount of erosion at a beach. The scientist determined that the equation is given below.
y = -0.5 x + 26
The shoreline is reduced by 0.5 feet every 10 years. Then the correct option is A.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
the product of the first 3 terms of a G.P is 1000 if we add 6 to its second term and 7 to its third term the three forms an A.P .find the terms of G.P
Answer:the product of the first 3 terms of a G.P is 1000 if we add 6 to its second term and 7 to its third term the three forms an A.P .find the terms of G.P
Step-by-step explanation:
the product of the first 3 terms of a G.P is 1000 if we add 6 to its second term and 7 to its third term the three forms an A.P .find the terms of G.P
Answer:
What grade is this?
-by-step explanation:
A 90% confidence interval for the mean height of a population is This result is based on a sample of size 169. Construct a 99%confidence interval.
This question is incomplete, the complete question is;
A 90% confidence interval for the mean height of a population is 65.7 < μ < 67.3
This result is based on a sample of size 169.
Construct a 99%confidence interval.
Answer: at 99%, confidence interval is [ 65.2, 67.8 ]
Step-by-step explanation:
Given that;
confidence level = 90%
∝ = 1 - 90% = 1 - 0.9 = 0.1
the mean height of a population is 65.7 < μ < 67.3
so
x" - t_∝/2, n-1{standard Error] = 65.7 ----let this be equation 1
x" + t_∝/2, n-1{standard Error] = 67.3 -----let this be equation 2
where t∝/2, n-1 = t_0.1/2, 169 - 1 = t_0.05, 168 = 1.654 (t table)
now we add equation one and equation two
2x" = 65.7 + 67.3 = 133
x" = 66.5
next we subtract equation one from equation two
(x" + t_∝/2, n-1{standard Error]) - (x" - t_∝/2, n-1{standard Error])
= 67.3 - 65.7 = 1.6
so
2 × t_∝/2,n-1 × standard Error = 1.6
standard Error = 1.6 / (2 × t_∝/2,n-1)
we substitute
Standard Error = 1.6 / ( 2 × 1.654 ) = 1.6 / 3.308 = 0.48367
Now 99% confidence interval for μ is given as;
∝ = 1 - 0.99 = 0.01
x" ± t_∝/2, n-1{standard Error]
(x" ± t_0.01/2, 169-1 [standard Error])
where t_0.005, 168 = 2.6054 (t table)
now for Lower Bound: (x" - t_0.005, 168 [standard Error])
Lower Bound : ( 66.5 - (2.6054 × 0.48367))
= 66.5 - 1.26015 = 65.2398
Upper Bound : ( 66.5 + (2.6054 × 0.48367))
= 66.5 + 1.26015 = 67.7602
Therefore at 99%, confidence interval is [ 65.2, 67.8 ]
please solve in detail
Answer:
x = 4
Step-by-step explanation:
the explanation is in the images
If you cant tell I hate percents :)
A group of friends went to lunch. Click on all the correct answers below according to the Letters A, B, and C.
A Their original bill cost $50.00, but they had a coupon for 20% off their meal. Find the discounted price (before tax and tip).
B A sales tax of 7% was added. What was the total amount including sales tax?
C The group chose to tip 20%. What is the total amount that their bill cost including tax and tip?
(Im giving brainliest and extra points on this one :D)
Solve six and two sixths times one and one half.
A) six and two twelfths
B) eight and six twelfths
C) nine and six twelfths
D) ten and two twelfths
Answer:
C
Step-by-step explanation:
Convert to improper fraction and multiply them, then convert back to mixed fraction :)
Answer:
C . The answer can be simplified but its not on here for some reason.
Step-by-step explanation:
6 2/6 x 1 1/2
(6 x 6) + 2 = 38/6
(1 x 2) + 1 = 3/2
38/6 x 3/2 = 114/12
114 ÷ 12 = 9 6/12.
9 6/12 = 9 3/6 = 9 1/2.
C
Again it can be simplified buts it not on here for some reason.
Question on square roots!!! Please help
Answer:
D
i took a test that had a question that was the same
(y + 2)(y^2 - 2y + 3)
Answer:
y^3 - y + 6
Step-by-step explanation:
I believe this is right
there are 3 rows of pictures on a wall. each row has 6 pictures. how many pictures are on the wall
Answer:
There are 18 pictures on the wall
Step-by-step explanation:
6 x 3 = 18
there is no way that simple multiplication is college level.
May I have brainliest please? :)
How do you do this question?
Answer:
k=±6/7
Step-by-step explanation:
At part (b)
1 - 0
2- Asin(kt) +Acos(kt)
3- 36A
4- 36-49k^2
5- 0
6- 36/49
What is the value of x.
x=25.5
Step-by-step explanation:
6x-3+3x+6+5x=360
14x+3=360
14x=360-3
x=357/14
x=25.5
A six-digit password is picked from the numerals 0 - 9. How many different passwords are possible if no number is repeated?
Answer:The answer is 600.
Step-by-step explanation:
(20 POINTS!!!!) Terry realized that 25% of his money was $12.50. He made a double number line to represent this. What number would go in the first missing box?
Step-by-step explanation:
try 12.50x25% i think
Answer:
25.00 and 50
Step-by-step explanation:
A popular ride-sharing app charges an
initial booking fee plus $1.30 per mile. If a
14-mile ride costs $21.20, what is the booking
fee?
Answer:
2.20
Step-by-step explanation:
2.20
4x/5-5/2x^8 এর বিস্তৃতিতে শেষের তৃতীয় পদ নির্ণয়
Answer:
Fr dude-
Step-by-step explanation:
What does that even say Imaaoo
Welp if you wanted me to write that in standard form then here ya go:
if a person is randomly selected from the US population, the odds the person lives in California are 1 to 8.
What is the probability of two decimal places of a randomly chosen person being from California?
What are the odds of a randomly chosen person not being from California?
Answer:
The probability of a randomly chosen person being from California is 0.111.
The probability of a randomly chosen person not being from California is 0.889.
Step-by-step explanation:
The odds of a person, selected from the US population, living in California is 1 to 8.
That is:
[tex]\text{Odds}(\frac{\text{Lives in California}}{\text{Does not Lives in California}})=\frac{1}{8}[/tex]
Compute the probability of a randomly chosen person being from California as follows:
[tex]P(\text{Lives in California})=\frac{\text{Odds}(\text{Lives in California})}{\text{Odds}(\text{Lives in California})+\text{Odds}(\text{Does not Lives in California})}[/tex]
[tex]=\frac{1}{1+8}\\\\=\frac{1}{9}\\\\=0.111[/tex]
The probability of a randomly chosen person being from California is 0.111.
Compute the probability of a randomly chosen person not being from California as follows:
[tex]P(\text{Love in California})=1-P(\text{Does not Love in California})[/tex]
[tex]=1-0.111\\\\=0.889[/tex]
Thus, the probability of a randomly chosen person not being from California is 0.889.
Solve for u.
-24 = u ÷ 6
Help come on plzz will give brainliest
Answer:78.4
Step-by-step explanation:
(74+44+74+100+98+86+72+76+66+94)/10 = 78.4
Find the antiderivative of f (x) = 10x4 + 12.5.
Answer:
The anti-derivative of f(x) will be:
[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]
Step-by-step explanation:
Given the function
[tex]\:f\left(x\right)=10x^4\:+\:12.5[/tex]
Taking the anti-derivative of f(x)
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:[/tex]
[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]
Solving
[tex]\int 10x^4dx[/tex]
[tex]\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx[/tex]
[tex]=10\cdot \int \:x^4dx[/tex]
[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]
[tex]=2x^5[/tex]
similarly,
[tex]\int 12.5dx[/tex]
[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]
[tex]=12.5x[/tex]
so substituting these values
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]
[tex]=2x^5+12.5x[/tex]
[tex]=2x^5+12.5x+C[/tex] ∵ Add constant to the solution
Therefore, the anti-derivative of f(x) will be:
[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]
write an equation of the line that passes through (-1,3) and is parallel to the line y=2x+2
Answer:
y = 2x + 5
Step-by-step explanation:
y - 3 = 2( x + 1 )
y = 2x + 5
Help me out please!!! no work needed just give the answer
*Brainliest if correct*
Answer:
150 degrees
Step-by-step explanation:
(Sorry, I know you don't want one but I posted this and then started editing it so hopefully you saw the answer already and I'm not delaying you or anything)
The interior of a quadrilateral always adds up to 360 degrees. y+80 = 180 degrees since they're on a straight line.
We have 3 angles: y = 100, 50, and 60.
360 - (100+50+60)
= 360 - 210
= 150
cloud is a vegetable grower, has 8 4/15 plots of pechay, 5 1/3 plots of eggplants and 5 2/5 of okra . how many plots of vetable do cloud has?
Answer:
The total plots of vegetable cloud will have: 19
Step-by-step explanation:
As the cloud has:
[tex]8\frac{4}{15}[/tex] plots of pechay[tex]5\frac{1}{3}[/tex] plots of eggplants[tex]5\frac{2}{5}[/tex] plots of okaraSo, the total plots of vegetable cloud will have:
[tex]8\frac{4}{15}+5\frac{1}{3}+5\frac{2}{5}[/tex]
[tex]=\frac{124}{15}+\frac{16}{3}+\frac{27}{5}[/tex]
[tex]=\frac{124}{15}+\frac{80}{15}+\frac{81}{15}[/tex]
[tex]=\frac{124+80+81}{15}[/tex]
[tex]=19[/tex]
Therefore, the total plots of vegetable cloud will have: 19
How many exact tenths are in 21.34. Why is it not 3?
Answer:
213.4 tenths
Step-by-step explanation:
It's not 3 probably because the question is asking how many tenths are in the whole number, and not just one section. So, there would be 213.4 tenths.
19g - 4h + 4 - 20(g - 1)
Can you plss help me
Answer:
I think its A
Step-by-step explanation:
correct me if im wrong
Help again gonna mark soemone brainliest
Answer: The answer is C
Step-by-step explanation:
Because i did that question before.
Answer:
i think the answer is c or a
2 Dylan is part of a volunteer crew constructing houses for low-income families. Dylan is experienced at installing tile floors. He is training a new volunteer, George, to complete tiling projects. A new job involves placing 100 tiles. Dylan knows from experience that it would take him 2 hours to complete the job if he were working alone. Dylan estimates that it would take George 4 hours to complete the job if George were working alone. If Dylan and George work together, how long will it take to complete the job?
Answer:
For the tiling Job; it takes the following for installing 100 tiles:
Dylan =2 hours
George = 4 hours
if they work together for the job, for 1 hour,
it would be the following no of tiles to be fixed:
Dylan + George = total tiles
100/2 + 100/4 = 50 + 25 = 75 tiles
If it takes George 1hr to fix 50 tiles,
For 30 minutes, Dylan will fix 25 tiles
Therefore Total tiles fixed = Dylan(1hr work) + George(1hr work) + Dylan (30mins work)
= 50 tiles + 25 tiles + 25 tiles = 100 tiles
Therefore, it will take approximately 1 hour for them to install 75 tiles in the low-income house for the families or
1.30 hours (1 hr, 30 minutes) to fix 100 tiles for the same low income families.
Step-by-step explanation:
GIVING OUT BRAINLIEST TO FIRST ✅CORRECT✅ ANSWER
Answer:
1,-5 and -1,-3
Step-by-step explanation: