Question 4
4 pts
Tom and Larry put money into their bank account each week. The table below shows Tom's
saving habits.
Weeks
1
2.
3
4
5
Account Balance ($)
18 30 42 54 66
Larry's saving habits can be represented by the equation y = 15x + 5, where y is money in
his account and x is the number of weeks that he has been saving.
a. How much money was initially in Tom's account? [Select]
b. How much money was initially in Larry's account (Select]
c. Who is saving money at a faster rate? (Select ]
d. When will Tom have more money in his account than Larry?
[ Select ]
Answers
Answer:
(a). 6 ; (b). $5 ; (c). Larry'c ; (d) at time they open their accounts.
Step-by-step explanation:
Larry's saving habits is [tex]y_{L}[/tex] = 15x + 5
Tom's saving habits:
m = (30 - 18) / (2 - 1) = 12 and b = 18 - 12 = 6
[tex]y_{T}[/tex] = 12x + 6
(a). $6
(b). $5
(c). Larry'c ( [tex]m_{L}[/tex] = $15 , [tex]m_{T}[/tex] = $12 )
(d). When [tex]y_{T}[/tex] > [tex]y_{L}[/tex] ?
15x + 5 < 12x + 6
3x < 1
x < [tex]\frac{1}{3}[/tex] of [tex]1^{st}[/tex] week ( x ∈ [0, 1) )⇒ Tom will have more money in his account than Larry at time they open their accounts.
Related Questions
Evaluate the expression
x+y3/5+ x²y when x = 3 and y = -2
Answers
I plugged in the calculator for you:)
Rewrite as a simplified fraction 2.67 repeating
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Multiple Choice
What is the domain of the function below?
{(0, 2), (3, 1), (5,2), (8,4)}?
A. {1, 2, 4}
B. {0, 3, 5, 8}
C. {0, 1, 2, 3, 4, 5, 8}
D. {(0, 2), (3, 1), (5,2), (8,4)}
Answers
Domain is the x values.
The x values in the given function are: 0,3,5,8
The answer would be B. {0,3,5,8}
What is the slope of the line on the graph?
Answers
Answer:
Slope = 1
Step-by-step explanation:
Rise over Run= 1/1
-I hope this helps have a great night
How do I do these?
Answers
Answer:
bro I ain't got no idea try googling it man
simplify: -7 - 8
Change 1 6/7 to a decimal round to the nearest tenth.
Answers
Answer:
-15
1.9
Step-by-step explanation:
-7 - 8 = -15
1 and 6/7 = 1.857142857142857142857142.....
about 1.9
what is the quotient of 6 1/4 ÷ (-5/8)
Answers
Answer: -10
Step-by-step explanation:
1. Convert 6 1/4 to an improper fraction
25/4
2. Find the quotient using the keep, change, flip method
- Keep the first fraction (25/4)
- Change the division sign to a multiplication sign
- Flip the second fraction (i.e. find the reciprocal)
-5/8 -> -8/5
3. Multiply and solve by multiplying the numerators and denominators together respectively
25/4 * -8/5
25*-8 = -200
4*5 = 20
-200/20 = -10
Answer:
[tex]-\frac{12}{5}[/tex]
Step-by-step explanation:
Please Help! Ill give you 55 points.
Answers
Answer:
............................
Step-by-step explanation:
If you ask a question will the points given ne deducted from your points
Answers
Answer:
I think so yeah. not sure though
Answer:
I think I kinda get this question but can you be a little more...Specific?
Step-by-step explanation:
Solve for g.
-6 - 9g = -10g
Answers
Answer:
g = 6
Step-by-step explanation:
I don’t know how to explain it but I hope it helps :) ! And have a good day <3
Brad had a small gathering at a local steakhouse. The steakhouse offers three dinner platters which vary by size and price. They ordered 4 of the 6-ounce platters, 2 of the 8-ounce platters, and 2 of the 11-ounce platters.
Steak Platter Prices
• 6-ounce $9.95
• 8-ounce $12.95
• 11-ounce $15.95
If a gratuity of 18% was added to the bill, which of the following is closest to the total of the steak platters and gratuity, ignoring sales tax?
A.
$114
B.
$137
C.
$18
D.
$115
Answers
Answer:
D.) $115
Step-by-step explanation:
9.95 x 4 = 39.8
12.95 x 2 = 25.9
15.95 x 2 = 31.9
39.8 + 25.9 + 31.9 = 97.6
97.6 x 0.18 = 17.568
97.6 + 17.568 = 115.168
115.168 ≈ 115
9.95 x 4 = 39.8
12.95 x 2 = 25.9
15.95 x 2 = 31.9
39.8 + 25.9 + 31.9 = 97.6
97.6 x 0.18 = 17.568
97.6 + 17.568 = 115.168
115.168 ≈ 115
Therefore, the closest to the total of the steak platters and gratuity, ignoring sales tax is $115.
i need help on my math how
Answers
Answer:
OK!!!!!!!!!!!!!!!1
Step-by-step explanation:
Answer: What do you need help with? I think if you put out you will try and help.
The inequality | x + 2 | −10
A. x −10
B. x −12
C. x −16
D. x −8
Answers
Answer:
X-8 is the best answer there
fill in the blanks
50 = __ 9 + __
Answers
Answer:
49 +1 =50 is the answer you are looking for
The area of a rectangle is 20x^6y^4. The length of the rectangle is x^2y^3. What is the width of the rectangle?
Answers
Answer:
[tex]Width\ of\ the\ rectangle\ is\ 20x^4y[/tex]
Step-by-step explanation:
[tex]We\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Here,\\Let\ the\ width\ of\ the\ rectangle\ be\ b\\20x^6y^4=x^2y^3b\\b=\frac{20x^6y^4}{x^2y^3} \\b=20x^{(6-2)}y^{(4-3)}\\b=20x^4y[/tex]
What is the domain of the function shown in this graph?
Answers
Domain is the set of x. Therefore, the domain starts from least x-value or from left side to the right side.
In the graph, it shows that the domain is from x = 1 to positive infinity.
Therefore the answer is x >= 1
or [1,+infinity) as interval.
Las dimensiones de un prisma rectangular son x + 5 para la longitud, x + 9 para el ancho yx para la altura. ¿Cuál es el volumen del prisma? Ingrese su respuesta como un polinomio en forma estándar.
Answers
Answer:
Step-by-step explanation:
The total area of the prism: A = 2 [3h² + 21h + 24]
The volume of the prism: V = h³ + 11h² + 24h
The area of a rectangular prism is calculated by knowing the sides of the rectangular base (a and b) and its height (h)
A = 2 (ab + ah + bh)
The volume of a rectangular prism is calculated as the product of its dimensions:
V = a * b * h
b- a = 5 ⇒b = 5 + a
I need help on this question
Answers
Answer:
I and III
Step-by-step explanation:
substitute 2 for y in each equation.
-9 + 27 = 18
-18 + 27 = 9
5(27) = 135
2(27) = 54
Which description of a figure and it’s image match the transformation described by (x,y) (x, 3y)
Answers
Answer: the figure and it’s image are similar and the image has been translated 3 units up.
Step-by-step explanation:
16. Write an equation for the translation of y = |x|that is 3 units up. *
Answers
Answer:
y = |-3|
Step-by-step explanation:
TRUST ME
I need help solving this ! I would appreciate it
Answers
Answer:
-1 > -2
Step-by-step explanation:
-9 ÷ (3(3) > -2
-9 ÷ 9= -1
-1 > -2
this is true
They will rest after they hike `2` miles. Then they will hike the remaining `1.75` miles to the lookout. The trail the hikers will use to return from the lookout is `0.5` miles shorter than the trail they will use to go to the lookout. Each hiker will bring `0.25` gallons of water for each mile to and from the lookout. What is the total amount of water each hiker will need to carry?
Answers
Answer:
1.75 gallons
Step-by-step explanation:
First, we need to calculate how far the hike is going up the trail. They first hike 2 miles and then another 1.75 miles after resting so...
2 + 1.75 = 3.75 miles
The trail is 3.75 miles long, the question states that the return path is 0.5 miles shorter, therefore...
3.75 - 0.5 = 3.25 miles
Leaving us with a total hiking distance of
3.75 + 3.25 = 7 miles.
Since each hiker will carry 0.25 gallons for each mile we simply need to multiply this amount by the total number of miles in the hike.
7 * 0.25 = 1.75 gallons
Finally, we can see that each hiker will carry a total of 1.75 gallons of water for the entire hike.
What is the equation of the line that passes through the point (4,−7) and has a slope of -1/2?
Answers
Step-by-step explanation:
y = -0.5x + c
When x = 4, y = -7.
=> (-7) = -0.5(4) + c, c = -5.
Therefore the equation is y = -0.5x - 5.
Answer:
y = -1/2 x - 5
Step-by-step explanation:
y = mx + b
m = slope = -1/2
y = -1/2 x + b
-7 = -1/2 * 4 + b
-7 = -2 + b
b = -5
y = -1/2 x - 5
What’s the answer, if you don’t know please do not answer.
Answers
Answer:
Yes, the bathroom has enough water and shampoo for all of them.
Step-by-step explanation:
70L+ 60S < 5600 70(8) + 60(7) = 560 + 420 = 980 There is enough water.0.02L + 0.01S 0.02(8) + 0.01(7) = 0.16 + 0.07 = 0.23 There is enough shampoo.Answer:It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.
Case 1: Pasta
The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.
S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.
So the equation becomes :
Case 2: Sauce
chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.
S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.
So the equation becomes:
Answer :
The two equations are :
For pasta:
For sauce:
Step-by-step explanation:
Find the value of x
A- 6
B-5
C-4
D-10
Answers
Answer:
x=4
Step-by-step explanation:
In triangle MLK
it is a equilateral triangle HenceML=LK=MK=5Now come to triangle MKJ
It is a isosceles triangle Hence MJ=MkMK=5
Hence
[tex]\longrightarrow\sf MJ=5 [/tex]
[tex]\longrightarrow\sf x+1=5[/tex]
[tex]\longrightarrow\sf x=5-1 [/tex]
[tex]\longrightarrow\sf x=4 [/tex]
Which graph shows a proportional relationship between x and y?
Answers
Answer:
i think your answer would number 1 or number 4
Step-by-step explanation:
Answer:
The first one
Step-by-step explanation:
There are two exterior angles at each vertex of a triangle, and these angle measures always add to 180°.
true or false
Answers
-6m - 1 = -31
m = ___
please show work
Answers
ANSWER:
M = 5
Step 1: Add 1 to both sides of the equal sign
-6m-1+1=31+1
-6m=-30
Step 2: Divide both sides by -6
-6m/6 = -30/-6
(Note: Both -6 values (The denominators) will cancel each other out, which is why the end result is 5 so, again, M=5)
BRAINLIEST IF CORRECT 40 POINTS
The balance on a checking account is -$15. Interpret the direction and magnitude of this value.
A.The owner of the checking account is owed -$15.
B.The owner of the checking account is owed $15.
C. The checking account is overdrawn by -$15.
D.The checking account is overdrawn by $15.
Answers
Answer:
D. The checking account is overdrawn by $15.
Step-by-step explanation:
Since the balance on a checking account represents the remaining money left in that checking account, having a negative value for that would mean an overdrawing of money, or drawing more money than is in that account in the first place.
Therefore, the answer would be that the checking account is overdrawn by $15.
Hope this helped!
4 A nurse is administering pain medication to
a patient. The patient's chart says that
the patient received 650 milligrams of
medication yesterday, and today he is to
receive 75% less medication than he did
yesterday. How many milligrams of pain
Someone please answer and justify thanks :)
medication should the nurse administer to
the patient today?
F 162.5 milligrams
G 262.5 milligrams
H 487.5 milligrams
J 575.0 milligrams