9514 1404 393
Answer:
a. 300 ≤ m ≤ 350
b. 18,000 ≤ p ≤ 21000
c. no
Step-by-step explanation:
a. If we let m represent the monthly payment, the absolute value equation is ...
|m -325| ≤ 25
-25 ≤ m -325 ≤ 25 . . . . rewrite as a compound inequality
300 ≤ m ≤ 350 . . . . . . . add 325
The range of affordable payments is $300 to $350 per month.
__
b. If financing is for 5 years, that's a total of 5×12 = 60 monthly payments. For a car price of p, the monthly payment is p/60, so the above inequality becomes ...
300 ≤ p/60 ≤ 350
Multiplying by 60 gives the range of affordable car prices:
18000 ≤ p ≤ 21000
An affordable car will have a price between $18,000 and $21,000 (inclusive).
__
c. If the 0% offer is extended to 6 years, the maximum affordable car price can be 6/5 of the upper limit of the range just found:
6/5×$21,000 = $25,200
This is still less than the price of the car you want.
You cannot afford to buy the car you want.
Cuantos ejes de simetría tiene un vaso una hoja de árbol piñata de 6 picos florero sin flores escalera y un árbol
Answer:
Una taza de vidrio tiene líneas verticales de simetría que pasan por la mitad del ancho perpendicular a la base.
Por lo tanto, una copa de vidrio bidimensional tiene una línea de simetría
Un par de anteojos tiene una línea de simetría que pasa por el punto medio del puente y es perpendicular al puente.
Una piñata de 6 puntas tiene tres ejes de simetría que atraviesan los tres pares lineales de piñatas.
Un jarrón bidimensional sin flores tiene líneas de simetría que pasan por el punto medio de la base y son perpendiculares a la base.
Una escalera simple tiene dos líneas de simetría, una que pasa por el punto medio y es perpendicular a la base, la otra es la línea de simetría horizontal que pasa por el punto medio de la longitud de la escalera y es perpendicular a la longitud de la escalera.
Step-by-step explanation:
Simplifying Expressions ,
HELPPPP ASAPPPP New visitors to a certain website have a 0.10 probability of creating an account on their first visit. Let V be the number of new visitors who visit the site until the first one of them creates an account. Assume that each visitor's decision to create an account is independent.
Find the probability that the 6th new visitor is the first to create an account.
Round your answer to the nearest thousandth.
Answer:
0.07
Step-by-step explanation:
The probability that the 6th new visitor is the first to create an account is approximately 0.059.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
The probability of success (creating an account) on any given trial is p = 0.10, and the probability of failure (not creating an account) is q = 1 - p = 0.90.
The probability that the first success occurs on the 6th trial is then given by:
P(V = 6) = (q⁵) * p
where q⁵ is the probability of having 5 failures in a row (i.e., the first 5 visitors not creating an account), and p is the probability of the 6th visitor creating an account.
Plugging in the values,
P(V = 6) = (0.90⁵) * 0.10 = 0.059049
Rounding to the nearest thousandth,
P(V = 6) ≈ 0.059
Therefore, the probability that the 6th new visitor is the first to create an account is approximately 0.059.
Learn more about probability here:
brainly.com/question/14290572
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Suppose x, y, and z are all rational numbers. Is
a rational number? Explain
2
your answer.
O Yes; the square and square roots cancel out, leaving a rational number.
There is not enough information to answer the question.
O No; the square root of any number is irrational.
O No; a quotient of rational numbers is not always rational.
What is the value of the expression show when n= 6
“8 less than the quotient of 42 and a number”
Answer:
-1
Step-by-step explanation:
Your answer is -1 because you replace the variable n with 6. 42/6 = 7. 8-7 = -1
13 PLS TELL ME THE EQUATION AND HOW TO SOLVE IT WITH THE ANSWER
Answer:
b
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
This triangle should be 180 degrees.
So you should add 80 and 45 and subtract it from 180 to get x.
Which two ratios form a proportion? 3:4 and 6:12 3:4 and 9:15 3:4 and 12:18 3:4 and 15:20
Answer:
3:4 and 15:20
Step-by-step explanation:
3:4 and 15:20
15/3 = 5
20/4 = 5
plz plz plz help me quick i got 10 mins
Answer:
y=x+6
Step-by-step explanation:
A bag weighing 80 N rests on a horizontal surface. The coefficient of static friction between the bag and the surface is 0.4, and the coefficient of kinetic friction is 0.2. What minimum horizontal force must be applied to keep the bag moving at constant velocity once it has started to move?
Answer:
The minimum horizontal force that must be applied to keep the bag moving at constant velocity once it has started to move is 16 newtons.
Step-by-step explanation:
According to the First and Second Newton's Laws, an object has net force of zero when it is at rest or moves at constant velocity. Given that bag rests on a horizontal surface, the equation of equilibrium is:
[tex]\Sigma F = P - f = 0[/tex] (Eq. 1)
Where:
[tex]P[/tex] - Horizontal force exerted on the bag, measured in newtons.
[tex]f[/tex] - Kinetic friction force, mesured in newtons.
From (Eq. 1), we get that horizontal force is:
[tex]P = f[/tex]
On the case of a horizontal surface, normal force exerted from ground on the bag and kinetic friction force is:
[tex]f = \mu_{k}\cdot W[/tex] (Eq. 2)
Where:
[tex]\mu_{k}[/tex] - Kinetic coefficient of friction, dimensionless.
[tex]W[/tex] - Weight of the bag, measured in newtons.
Then we eliminate kinetic friction force by equalizing (Eqs. 1, 2):
[tex]P = \mu_{k}\cdot W[/tex]
If we know that [tex]\mu_{k} = 0.2[/tex] and [tex]W = 80\,N[/tex], then the horizontal force that must be applied to is:
[tex]P =0.2\cdot (80\,N)[/tex]
[tex]P = 16\,N[/tex]
The minimum horizontal force that must be applied to keep the bag moving at constant velocity once it has started to move is 16 newtons.
XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.
Answer:
29° and 58°
Step-by-step explanation:
Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus
∠ ZXY = ∠ WXY = 29°
∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°
A cargo helicopter delivers only 100100100-pound packages and 120120120-pound packages. For each delivery trip, the helicopter must carry at least 101010 packages, and the total weight of the packages can be at most 1{,}1001,1001, comma, 100 pounds. What is the maximum number of 120120120-pound packages that the helicopter can carry per trip?
Answer:
5
Step-by-step explanation:
Given that:
Weight of package delivered = 100 - 120 pounds
Number of packages carried per trip is atleast 10 = ≥ 10
Total weight of packages must be at most 1,100 ≤1,100
The maximum number of 120 pound packages the helicopter can carry:
Maximum capacity = 1100 pounds
Number of packages ≥ 10
Let number of 110 packages carried = x
Number of 120 packages carried = y
x + y ≥ 10 - - (1)
100x + 120y ≤ 1100 - - - (2)
From (1): x ≥ 10 - y
100(10 - y) + 120y ≤ 1100
1000 - 100y + 120y ≤ 1100
1000 + 20y ≤ 1100
20y ≤ 1100 - 1000
20y ≤ 100
y = 5
y = number of 120 pound packages carried
y = 5
Answer:
5
Step-by-step explanation:
Let
x = number of 100 pound packages
y = number of 120 pound packages.
For each delivery trip, the helicopter must carry at least 10 packages.
x + y ≥ 10
x ≥ 10 - y
Total weight of the packages the helicopter can deliver can be at most 1,100 pounds
100x + 120y ≤ 1100
Divide through by 20
5x + 6y ≤ 55
Substitute x ≥ 10 - y into the equation
5(10 - y ) + 6y ≤ 55
50 - 5y + 6y ≤ 55
y ≤ 55 - 50
y ≤ 5
Therefore, the maximum number of 120 pound packages helicopter can carry is 5.
What is the maximum number of student tickets that can
be sold if the drama club meets its sales goal?
40
The members of the drama club have 100 tickets to sell
to the school play. Students pay $5 per ticket, and
nonstudents pay $10 per ticket. The drama club needs
to collect at least $800 in total ticket sales. The system
of inequalities represents the number of student tickets,
s, and the number of nonstudent tickets, n, the members
must sell.
60
80
100
Suns 100
5s + 10n 2 800
Answer:
The Drama Club scan sell all 100 student tickets at max if they reach their goal of $800.
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
E2020
A dealer bought an article for Rs1500 and sold it at 20 percent profit . what was rhe sale price of the article?
pls solve this question i will mark as a brainlist.
[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Given that , a dealer bought an article for Rs 1500 and sold it at a profit of 20% .
So , here ,
Cost price of the article = Rs 1500.Profit on the article = 20% .Since the article is sold at profit , the Selling price of the article will equal to Cost price + 20% of cost price .
Firstly let's Calculate 20% of 1500 .
= 20% of Rs 1500 .
= 20/100 × Rs 1500 .
= Rs 300 .
Hence we can find now Selling price as ,
[tex]\boxed{\green{\bf Selling\: Price=Cost\:Price+Profit}}[/tex]
⇒ SP = CP + Profit .
⇒ SP = Rs ( 1500 + 300 ).
⇒ SP = Rs 1800 .
Hence the required answer is Rs 1800.
Find the equation of the line.
Y=__x + __
How do I solve |x-1|-1.4 = 6.2
Answer:
x1= -6.6 x2= 8.6
Step-by-step explanation:
Answer:
x1= -6.6, x2= 8.6
Step-by-step explanation:
|x-1|-1.4=6.2
|x-1|=6.2+1.4
|x-1|= 7.6
x-1=7.6 or x-1= -7.6
x= 8.6 and x= -6.6
The charge in dollars for cab rides in one city is modeled by f(c) = 4 + 2.5m. When m is the number of miles traveled, what is the charge for a 3-mile ride?
Find the standard form for the equation of the line which
passes through the point (9,-46) and which has a
y-intercept of – 1.
Answer: Well I believe the answer is Y= x - 55
Step-by-step explanation:Hope that works :)
please help with my guided practice
it's 88 I've been getting so mix up forgive me So the area of the square is 64. When you find the area of the triangle you multiply the base by its height, which is 6 by 8 and then you divide by two. 64+24=88
What is the slope-intercept form of equation of the line with a slope of 3 and y-intercept at origin?
Answer:
y=3x
Step-by-step explanation:
Equation is y=mx+b
Slope is 3/1 or 3x.
Y-intercept is at the origin or (0,0), so you take the y-coordinate.
Plug them into the equation.
y=3x+0 or y=3x
Which rational number equals 0 point 2 with bar over 2? (1 point)
Group of answer choices
1 over 10
2 over 10
2 over 9
1 over 9
Answer:
1 over 10
Step-by-step explanation:
I guessed
0.5b+4=2(b+2)
I need help on this question?
Answer: b=0
Step-by-step explanation:
0.5b+4=2(b+2)
0.5b+4=2b+4
4=1.5b+4
0=1.5b
b=0
What is the least common multiple (LCM) of 5 and 20?
Answer:
5
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
When you make a list it will look something like this::
5-5,10,15,20
20-20
Find the value of x so that the function has the given value
f(3) = 3x + 2
f(3) = 8
x=
Answer:
f(3) =3(2)+2
Step-by-step explanation:
Therefore, x = 2
The sum of two numbers is 91. The greater number is 7 more than the smaller number. Which equation can be used to solve for the smaller number?
x(x + 7) = 91
x(x − 7) = 91
x + (x + 7) = 91
x − (x + 7) = 91
Answer:
x+(x+7)=91
Step-by-step explanation:
Hope this helps :)
Answer: your answer for the smaller number is 38.5 and the larger number is 52.5.
Step-by-step explanation:
To make sure it's right, I just add the numbers together.
Your Problem:
91 ÷ 2 = 45.5
45.5 + 7 = 52.5
45.5 - 7 = 38.5
52.5 + 38.5 = 91
are the terms 2x^3 and 2yx^2 like terms
Given the median, how do you find x on a triangle?
Please help me this is my first assignment in math
Answer:
1,2,3 are Natural Numbers
Step-by-step explanation:
May i please get brainiest.
The answer:
Natural Numbers
y - 1 = -4 (x + 1)
Please help thanks so much!
Answer:
[tex]y = - 4x - 3[/tex]
Step-by-step explanation:
[tex]y - 1 = - 4(x + 1) \\ y - 1 = - 4x - 4 \\ y = - 4x - 3[/tex]
Examine the operations above.
Which inequality matches the graph shown?
Answer:
I am pretty sure it is x>8 which is B.
Step-by-step explanation:
A department store buys 200 shirts at a cost of $1,600 and sells them at a selling price of $10
each, Find the percent markup.