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.)
please help i need this to pass the class
Answer:
a = 50, b = 141, c= 42, d = 143
586.875 to 2 decimal places
can someone please help??
Answer:
Step-by-step explanation:
si... yono em usho de cmopu preo sloo estoy usand una jjssjsjsj jsjsj c
options of Answer
A) 10 bags of chips and 2 jars of salsa
B) 20 bags of chips and 2 jars of salsa
C) 14 bags of chips and 5 jars of salsa
D) 18 bags of chips and 6 jars of salsa
Answer:
D) 18 bags of chips and 6 jars of salsa
Step-by-step explanation:
Given : The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.
Inequality: [tex]2.5x+4y[/tex] ≤ [tex]60[/tex]
Solution :
x represents chips
y represents salsa
Option a: 10 bags of chips and 2 jars of salsa
so, x = 10 and y =2
Putting values in inequality
[tex]2.5(10)+4(2)[/tex] ≤[tex]60[/tex]
[tex]25+8[/tex] ≤[tex]60[/tex]
[tex]33[/tex]≤[tex]60[/tex]
Hence it is correct.
Option c : 14 bags of chips and 5 jars of salsa
so, x = 14 and y =5
Putting values in inequality
[tex]2.5(10)+4(2)[/tex]≤[tex]60[/tex]
[tex]50+8[/tex]≤[tex]60[/tex]
[tex]58[/tex]≤[tex]60[/tex]
Hence it is correct.
Option c : 14 bags of chips and 5 jars of salsa
so, x = 14 and y =5
Putting values in inequality
[tex]2.5(14)+4(5)[/tex]≤[tex]60[/tex]
[tex]35+20[/tex]≤[tex]60[/tex]
[tex]55[/tex]≤[tex]60[/tex]
Hence it is correct.
Option d :18 bags of chips and 6 jars of salsa
so, x = 18 and y =6
Putting values in inequality
[tex]2.5(18)+4(6)[/tex]≤[tex]60[/tex]
[tex]45+24[/tex]≤[tex]60[/tex]
[tex]69\geq 60[/tex]
Hence it is not correct since it violates the inequality
.What is the speed of a rocket that travels 700 m in 10s? How do you convert it to velocity?
Answer:
70m/s
Step-by-step explanation:
Velocity is distance by time so:
[tex]\frac{700}{10}=70m/s\\[/tex]
what is y=2x+3 on a graph??
Answer:
points on the line: (0,3) (1,4) (-4,-5)
Step-by-step explanation:
put those points on the graph and just draw a line that connect to all of them
2. Round 459 to the nearest hundred.
O
460
450
500
400
Answer:
The answer is 500
Step-by-step explanation:
When you round to the hundred, you look at the 10s place. If the 10s place is 5,6,7,8, or 9, you round the hundred up. In this case, it is 459 so you would round up to 500. Have a nice day!!!
what is the sum of 3/4 and 4/5?
Answer:
your answer is 1.5
Step-by-step explanation:
3/4 simpified is 0.75 + 4/5 simplied is 0.8
0.75+0.8=1.5
When G(2,-6) is reflected in the line y = -2, the image is located at G |
Answer:
The point (2, -6) is four below the line y= -2
The reflection will be four below the line y=-2.
Since y=-2 is a horizontal line, the reflection will be vertical,
so (2,-6) will reflect down 6 spaces vertically. -6 + (4*2) = (-6 + 8) = 2 therefore when we establish 4 below the line we just apply * 2 as a double as its across the line each side of the line to find that below the line = 4 = 4*2 and add it to -6
(2,-6) reflected over y=-2 reflects to (2, 2 )
Step-by-step explanation:
I need help pleaseeeee
No links
A carpenter is building shelving units for a garage a small shelf requires a total of eight boards to build while large one uses 13 boards he has up to 47 boards to use for this project Select the any quality in standard form that describes the situation use the given numbers in the following variables
Answer:
8x + 13y has to be less than or equal to 47.
Step-by-step explanation:
PLS help I will mark brainiest and say thanks and give five stars.
Answer:
m<BEC=80º
Step-by-step explanation:
a line is 180º total
180-70-30=80
Answer:
BEC = 80°
Step-by-step explanation:
Supplementary = 180°
70 + 30 = 100
180 - 100 = 80
Hope this helps! Pls give brainliest!
The volume of the above cylinder is 21m find the radius of the circular end
Answer:
0.75m
Step-by-step explanation:
The volume of a prism is:
the area of the cross section × length
In this case the cross section is the circle so the formula is
v = πr²h
volume = 21m³
height or length = 12m
Sub in the values:
21 = πr² × 12
1.75 = πr² (I divided both sides by 12)
0.5570423008 = r² (I divided both sides by π)
r = 0.74635... (I square rooted both sides)
r ≈ 0.75m (to 2 d.p)
Please help ! Geometry
The measurement of angle b is 128°
I need help solving #9 & #11! It's geometry but I'm just really stuck
Answer:
9)x=11 y=3
11)x=18 y=5
Step-by-step explanation:
9) 9x+25=13x+19 13x-19+17y+5=180
9x+44=13x 129+17y=180
44=4x 17y=51
11=x y=3
11) 49+3x=7x-23 3x=11y-1
Pls help. Thank you!
Answer:
x = 15
Step-by-step explanation:
Here's an easy way to solve this:
OAP appears to be a right isosceles triangle. Angle O is a right angle, so the other angles are congruent (the same).
180-90 = 90
90÷2 = 45
3x = 45
x = 15
Evaluate. 2 > 8 - 4/3h
Answer: h>9/2
Step-by-step explanation:
What is the sum of the 15th square number and the 4th square number?
Answer:
241
Step-by-step explanation:
15th squared number = 225
4th squared number = 16
225 + 16 = 241
ayo please help me out
Answer:
-2/3x+4
Step-by-step explanation:
the reason is that if we take 2 point from the graph for example;
0,4 and 6,0
1) to get the gradient it is y2-y1/x2-x1
sub 0,4 and 6,0 into the equation from 1
4-0/0-6 which is 4/-6
4/-6 = 2/-3 and +4 because as seen in the graph it's hits the y-axis at +4
so it is 2/-3x + 4
8TH GRADE MATH PLEASE HELP!!
Answer:
C.
Step-by-step explanation:
\sqrt{35} = 5.916079783
Its the Closest one
Answer:
C is the correct answer
[tex] \sqrt{35 } = 5.91 \\ [/tex]
What is 2 6/8 in fraction
The price of a television was reduced from $2000 to $1400. By what
percentage was the television reduced?
Answer:
30%
Step-by-step explanation:
2000-----100%
1400------x%
x=(1400×100)÷2000
X=70%
final we go 100%-70%=30%
Television price reduced for 30%
What can you say about the LCM of two numbers, if one (or both) of
the numbers is prime?
Answer:
If one or both numbers are prime, the LCM(Lowest Common Multiple) is the product of the numbers. e.g the LCM of 2 and 5 is 10; 2×5
The sequence 2, 9, 20, 35, . . . is another example of a rectangular number pattern, as illustrated in the art below. What is the 50th term of this sequence?
Answer:
345 is the answer
Step-by-step explanation:
use the nth term sequence and you get 7n-5 just substitute 50 and you get that hope I helped!
The 50th term of this arithmetic sequence will be 9655.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The sequence 2, 9, 20, 35, . . . is another example of a rectangular number pattern, as illustrated in the art below.
The first term is 2 and the common difference depending on 'n' will be given as 4n - 3.
Then the 50th term of this arithmetic sequence will be
aₙ = a₁ + (n - 1)d
aₙ = a₁ + (n - 1)(4n - 3)
a₅₀ = 2 + (50 - 1) × (4 × 50 - 3)
a₅₀ = 2 + 49 × 197
a₅₀ = 2 + 9653
a₅₀ = 9655
The 50th term of this arithmetic sequence will be 9655.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ2
Solve each system of linear equations using the elimination mehod
-8x + 10y = -22
8x - 15y = 17
Answer: y = 1 and x = 4
Step-by-step explanation:
-8x + 10y = -22
8x - 15y = 17
-----------------------
- 5y = -5 Add the two equations to eliminate x
y = 1 Solve for y
=====
8x - 15y = 17 (y = 1) Use y=1 in either equation
8x - 15 = 17
8x = 32
x = 4 Ta da
Answer:
solution: x = 4, y = 1 or (4, 1)
Step-by-step explanation:
To solve the system of linear equations using the elimination method, simply add both equations together (since the coefficeints of x have opposite signs):
-8x + 10y = -22
+ 8x - 15y = 17
- 5y = -5
Divide both sides by -5 to solve for y:
[tex]\frac{-5y}{-5} = \frac{-5}{-5}[/tex]
y = 1
Next, substitute the value of y into one of the equations to solve for x:
-8x + 10y = -22
-8x + 10(1) = -22
-8x + 10 = -22
Subtract 10 from both sides
-8x + 10 - 10 = -22 - 10
-8x = -32
Divide both sides by -8 to solve for x:
[tex]\frac{-8x}{-8} = \frac{-32}{-8}[/tex]
x = 4
Therefore, the solutions to the given systems of linear equations are: x = 4, y = 1 or (4, 1).
A paint store sells exterior
paint for $35.75 a gallon and paint rollers for $6.00 each. Write an equation in
standard form for the number of gallons x of paint and rollers y that a customer could buy with $190.
Sarah's Volleyball team won 12 out of 14 games if this rate continues, how many games will they win if they play a total of 21 games
Answer:
18 games
Step-by-step explanation:
If Sarah's Volleyball team won 12 out of 14 games, then their win rate is 12/14. You can simplify this fraction down to 6/7 to make it easier, but you don't have to.
If they keep the same rate of 6/7 (6 wins for every 7 games they win), you multiply the rate by the total games to get the number of wins. wins/games (rate) x total games = total wins, so 6/7 x 21 = 18.
HELPPPPP PLEASE!! ;)
Answer:
its 2 8/11
Step-by-step explanation:
i hope this helps have a good day
The linear system is graphed. Is it an independent or dependent system?
-2x+3y=5
-4x+6y=10
GRAPH IN PICTURE:
A. neither
B. Dependent
C. Independent