A student has a savings account with $475 in it. She deposits $125 of her paycheck into the account every week. Her goal is to save $7,000 for college.
a.How much will be in the account after 3 weeks?
b.How long will it take before she has $1,350?
c.Write an equation that represents the relationship between the dollar amount in her account and the number of weeks since she started depositing $125 each week.
d.Graph your equation using graphing technology. Mark the points on the graph that represent the amount after 3 weeks, and also the week she has $1,350. Write down the coordinates.
e. How long will it take her to reach her goal?
9514 1404 393
Answer:
a. $850
b. 7 weeks
c. f(x) = 125x +475
d. see attached (3, 850), (7, 1350)
e. 53 weeks
Step-by-step explanation:
a.After 3 weeks, $125×3 = $375 will have been added to the $475 already in the account. The balance will be ...
$375 +475 = $850
__
b.The student will have to add $1350 -475 = $875 to her account to reach $1350. At a rate of $125 per week, that will take ...
$875/($125/week) = 7 weeks
__
c.The initial value is $475, and the rate of change is $125 per week, so the equation can be written ...
f(x) = 475 +125x . . . . . . . balance after x weeks
__
d.See the attached graph with the required points marked. (3, 850), (7, 1350)
__
e.It will take more than 53 weeks for the student to reach her goal. (After 52 weeks, the account will have $6975, so will be $25 short of the goal.)
i need some frikin help on equations like this 4x>2 i used to do questions like this 4x=2 (basically one step equations) im just really confused
Answer:
x>1/2
Step-by-step explanation:
4x>2
4x/4
2/4
x>2/4
2/4 divided by 2= 1/2
x>1/2
−2(x+1)=x−3x−2 No solution, one solution, or infinite solutions
Answer:
infinite solutions (All real numbers are solutions)Step-by-step explanation:
−2 *(x + 1) = x −3x −2
-2x - 2 = -2x -2
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HELP PLS MARKING BRAINLEIST
Answer:
1
Step-by-step explanation:
5/5=1
Answer:
4/5
Step-by-step explanation:
You move up four on the y-axis and over 5 on the x-axis and it would meet the next point
Hope this Helps
50% more than what number is 20% less than 60% more than 10?
Answer:
Step-by-step explanation:
Let's start by decoding this :)
First lets do 60% more than 10; 16 (mental math)
Next, lets do 20% less than 16; x/16 = 80/100 (Equation)
After solving by cross multiplying & then simplifying (make sure both denominators are 100), you should get 12.8 as your final #! Hope this helped.
need help!!!
which addition matches the problem...
Answer:
The addition that matches the problem is the first one.
Step-by-step explanation:
The red line goes back 8 so it is a -8 and the blue line goes forward 4 so it is a postive 4.
4 + (-8) = -4
A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.
4x + 5y = 30.50
11x + 14y = 84.50
The variable x represents the
.
The variable y represents the
.
The deli charges $
Answer:
The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.
Step-by-step explanation:
Let the cost of 1 pound of meat be x
Let the cost of 1 pound of cheese be y
Cost of 4 pounds of meat = 4x
Cost of 5 pounds of cheese = 5y
Since we are given that one customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50.
So, equation becomes :
Cost of 11 pounds of meat = 11x
Cost of 14 pounds of cheese = 14y
Since we are given that a sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50.
So, equation becomes :
Thus the system of equations are :
-1 (Red line)
-2 (Black line)
Solving these equations graphically we get the solution
x = $4.5
y = $2.5
Hence The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.
Una membresía de 2 meses para el gimnasio cuesta $ 125. A Jim le gustaría ser miembro durante 8 meses. ¿Cuál es la cantidad total que pagará durante 8 meses?
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These are your answers:
a) 6.7
b) 6.7
c) 10
d) 10
e) 100
f) 100
Hope this helps.
If f(x)= 3x-2 find x if f(x)= 19
Answer:
19= 3x-2
3x= 21
X= 7
Step-by-step explanation:
Hope it helps!!
The fuel tank of a certain airplane can hold up to gallons of fuel. Let be the total weight of the airplane (in pounds). Let be the total amount of fuel in its tank (in gallons). Suppose that gives as a function of .
What is the domain in (6-4),(8,-4), (8,-8)}?
a) 2,4.13
c) -4,-8}
b) {6,8}
d) (-2,00)
Answer:
B
hope this helps
Anyone knows the answer?????????????
Answer:
No I don't know if they also know then they will tell don't know that then how to tell
Answer:
noooooooooooiiiiiiooooooooooooooooo
I need help on this question plz and thank you
(Question 5 and if you can number 3 as well)
is -5 a rational or an irrational number
Answer:
Rational
Step-by-step explanation:
An irrational number cannot be written as the ratio. of two integers. An irrational number is simply the opposite of a rational number. (Recall that a rational number is one that can be represented as the ratio of two integers.
A rational number is one that can be written as an integer over an integer, with non-zero denominator. ie. all your fractions.
An irrational number cannot be expressed as a ratio of integers
-5 is rational because it is a number that ends and is not a decimal that doesnt terminate.
Omar can jog 3 2/5 miles in 2/3 of an hour. Find his average speed in miles per hour.
Answer:
9.6miles per hour
Step-by-step explanation:
2/3＝40min
32/5 /40＝0.16
0.16miles per min
0.16*60＝9.6
Step-by-step explanation:
he jogs 3 2/5 miles in 2/3 of an hour.
3 2/5 miles are 17/5 miles.
now, to get mph as speed unit, we need to bring the 2/3 hour to 1 hour.
we need to multiply 2/3 by a factor to get 1
2/3 × x = 1
2x = 3
x = 3/2
since we have to multiply the denominator of the ratio by 3/2, we also need to multiply the numerator by the same value to keep the overall value of the ratio/fraction the same.
17/5 / 2/3 × 3/2 / 3/2 = (17/5 × 3/2) / (2/3 × 3/2) =
= ((17×3)/(5×2)) / ((2×3)/(3×2)) =
= (51/10) / 1 = 51/10 = 5.1 mph
so, his jogging speed is 5.1 mph.
Hello, please help me with this as well, but show me example how you worked it out?
33 + - 5
Answer: 28
Step-by-step explanation: A positive (+) and a negative (-) together make it a negative (-) which takes the positive away (+) making it 33 - 5 = 28
Answer:
28
Step-by-step explanation:
Subtract 33 - 5. You should get 28. But since the greater number is positive, the answer will be positive.
Which statement about the points (5, -9) and (5,9) is true? Plot the points on a coordinate plane to help you answer the question. © A. (5.-9) and (5,9) are reflections of each other over the yaxis. B. (5, -9) and (5,9) are reflections of each other over the x-axis. C. (5.-9) and (5,9) are both on the x-axis. D. (5.-9) and (5,9) are reflections of each other over both axes.
Answer:
A. (5,-9) and (5,9) are reflections over the y-axis
Step-by-step explanation:
(14.7+9.3) times (1/2)2
Answer:
24
Step-by-step explanation:
A=?
b=?
C =?
Can someone tell me the answer please
Answer:
Below.
Step-by-step explanation:
a = 37 degrees ( vertical angle to 37 )
c = 180 - 37 = 143 degrees (adjacent angles add up to 180).
b = 180 - 37 - 109 = 34 degrees (angles in a triangle sum to 180 degrees).
a = 37 degrees
c = 180 - 37 = 143 degrees.
b = 180 - 37 - 109 = 34 degrees
Find g(f(x)).
f(x) = x + 1
g(x) = [tex]\sqrt{x} -3[/tex]
Please show work so I can understand it because my teacher has been out all week and I need to know how to do this for a test tomorrow.
Step-by-step explanation:
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. Twelve out of 36 students in a class are in the
drama club. What is the ratio of the students in the
drama club to the students who are not in the
drama club?
 In the equality -x>5 what must you do to solve the problem
Answer:
x < -5 (~Divide -1 to both sides)
Step-by-step explanation:
-x > 5
~Divide -1 to both sides
x < -5
Write the equation of the line in point-slope form.
Answer:
y-1= -3/4(x-1)
Step-by-step explanation:
find the slope then put it in the format: y2-y1=m(x2-x1)
y-1= -3/4(x-1)
Answer:
y = -3/4x + 7/4
Step-by-step explanation:
So we have 2 points:
(-3, 4) & (1, 1)
The formula for point-slope is:
y - y1 = m (x - x1)
First, we need to find the slope between the points
The formula for this is
(y2 - y1) /(x2 - x1)
1 - 4 / 1 - (-3) ->
-3 / 4
Our slope is -3/4 (m)
y = -3/4 (x + 3) + 4
I've done this using a simplified formula for point slope which is
y = m(x - x1) + y1
we can simplify this equation more
y = -3/4x + 7/4
is our final equation.
2 lines intersect. A line with points R, S, U intersects a line with points V, S, T at point S.
In the diagram, which angles form a linear pair? Select three options.
∠RST and ∠RSV
∠RST and ∠TSU
∠RST and ∠VSU
∠TSU and ∠USV
∠TSU and ∠RSV∠
Step-by-step explanation:
here is your answer
enjoy
thanks to another users to give this answer
fast films video allows you to rent up to 6 movies a month for a flat rate of $17.75. videos by mall allows you to rent up to 8 movies for $25.00. which company offers the better value
Answer:
The second company offers better value
Step-by-step explanation:
$17,75 / 6 = ~$2,96
$25 / 8 = ~$3,13
Armando wants to raise funds at his school fair. He plans to charge 10 cents to pick marshmallows from his bag without looking. He will give: • 20 cents to anyone who picks a Blue marshmallow. • 50 cents to anyone who picks a Yellow marshmallow. • $1 to anyone who picks a White marshmallow. • Anyone picking a Red or Green marshmallow will lose their money There are as equal number of marshmallows of each color. 3a. Show work and explain why Armando will lose money with this game. Justify using mathematics.
Since the expected value for this game is negative, Armando will lose money.
The expected value is given by the sum of all outcomes multiplied by it's respective probability.In this problem:
There are blue, yellow, white, red and green marshmallows, each with a [tex]\frac{1}{5}[/tex] probability of being picked.If red or green marshmallows are picked, Armando get the charge of $0.1.If someone picks a blue marshmallow, he loses $0.1.If someone picks a yellow marshmallow, he loses $0.4.If someone picks a white marshmallow, he loses $0.9.Thus, the expected value is:
[tex]E = 0.1\frac{2}{5} - 0.1\frac{1}{5} - 0.4\frac{1}{5} - 0.9\frac{1}{5} = \frac{0.2 - 0.1 - 0.4 - 0.9}{5} = -0.24[/tex]
Since the expected value for this game is negative, Armando will lose money.
A similar problem is given at https://brainly.com/question/24855677
I NEED HELP PLEASE!!!!!!
Answer:
Step-by-step explanation:
Two angles are alternate and has same measurement because line l and line m are parallel so to find x:
4x - 50 = 2x + 30
4x - 2x = 30 + 50 add/subtract like terms
2x = 80 divide both sides by 2
x = 40
is the answer(s) E, D, C, B, or A?
Answer:
A,C,E
You can see that the temperature and heat energy is changing at those points than just sitting there like B and D