14. Veronica is choosing between two health clubs.
After how many months will the total cost for
each health club be the same?
Yoga Studio
Yoga Studio A
Membership 522.00
Monthly Fee $24.50
Membership 547.00
Monthly Fee $18.25
Answers
Answer:
The total cost for each health club would be the same after 4 months.
Step-by-step explanation:
Answer:
The total cost for each health club will be the same after 4 months.
Step-by-step explanation:
For studio A:
Membership fee = $22.00
Monthly Fee = $24.50
The equation for studio A:
A = 22 + 24.5xFor studio B:
Membership fee = $47.00
Monthly Fee = $18.25
The equation for studio B:
B = 47 + 18.25xLet 'x' be the month of membership
We must have to find the value of month or 'x' for which the total cost at each health studio is the same.
i.e. when A = B
Hence, the expression will be
A = B
22 + 24.5x = 47 + 18.25x
Please note that if we put x=4, the L.H.S and R.H.S of the equations become the same
i.e.
22 + 24.5(4) = 47 + 18.25(4)
22 + 98 = 47 + 73
120 = 120
so, at x=4 the equations become the same.
Therefore, the total cost for each health club would be the same after 4 months.
Related Questions
Betsy, a recent retiree, requires $6,000 per year in extra income. She has $50,000 to invest and can invest in B-rated bonds paying 13% per year or in a certificate of deposit (CD) paying 3% per year. How much money should be invested in each to realize exactly $6,000 in interest per year?
Answers
Answer:
$45,000 at 13% = B-rated bond
$5,000 at 3% = CD
Step-by-step explanation:
Let us assume the x amount at 13% be 0.13x
And, y amount at 3% be 0.03x
Total interest = $6,000
The equation is
0.13x + 0.03x = $6,000 ................(1)
Now the total amount is $50,000
So
x + y = $50,000
y = $50,000 - x ................(2)
Now put the y value in the equation 1
So,
0.13x + 0.03 ($50,000 - x) = $6,000
0.13x + $1,500 - 0.03x = $6,000
0.10x = $6,000 - $1,500
0.10x = $4,500
x = $4,500 ÷ 0.10
= $45,000 at 13%
now y value would be
= $50,000 - $45,000
= $5,000 at 3%
In which of the following drawings are parallel to DE and AC?
Answers
Answer:
probably A
Step-by-step explanation:
Brainliest pls
Answer:
d
Step-by-step explanation:
ut is parrell in d because the bottom line is ac n the line parrell to that,is de
Which equation has the same solution as 4-2(x-5)=x-19
A. 2(x+5)=-8
B. 3(x-3)=9
C. x+2=2x-3
D. 3x-4=2x+7
Answers
Answer:
D
Step-by-step explanation:
A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing x fuel tanks is given by ... C(x) = 10000 +90x - 0.08x2 Find the exact cost of producing the 501st item.
Answers
Answer:
cost of producing the 501st item = $9.92
Step-by-step explanation:
The function representing the cost is given by;
C(x) = 10000 + 90x - 0.08x²
To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.
Thus;
C(500) = 10000 + 90(500) - 0.08(500)²
C(500) = 10000 + 45000 - 20000
C(500) = $35000
Similarly;
C(501) = 10000 + 90(501) - 0.08(501)²
C(501) = 10000 + 45090 - 20080.08
C(501) = $35009.92
cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92
-8k + 6 = -10k + 10 SOMEONE HELP QUICKKKK
Answers
Answer:
k = 2
Step-by-step explanation:
-8k + 6 = -10k + 10
-8k = -10k +4
2k = +4
2k / 2 = 4 / 2
k = 2
Find the equation of a line that passes through the points (2,2) and (3,7).
Leave your answer in the form y = mx + c
Answers
Answer:
gradient = change in y/ change in X
= 7-2/3-2=5
the gradient = 5
use either one of the points to find the gradient
y-3/x-7 =5
y=5x-4
which statements are true select all that apply. Extra points!!!
Answers
2 is true
3. is false
4. is true
1 & 3 are false
2 & 4 are true
Let L1 be the line through the origin and the point (6, 0, −1). Let L2 be the line through the points (1, −1, 1) and (7, 1, 7). Find the distance between L1 and L2.
Answers
Answer:
6
Step-by-step explanation:
The Miller family wants to join a public swimming pool that charges a fee of $25.00 per year and then $3.00 for each visit.
A. Draw a graph to show the yearly cost to the Miller family.
B. Can the cost be represented by linear function? why or why not?
C. Write a function to model the yearly cost to the Miller family. Make sure to define variables.
D. If the pool decided to charge $3.50 per visit, how would you graph change?
Answers
Answer:
B) Yes
C) C = 3x + 25
Step-by-step explanation:
Given that:
Yearly charge = $25
Charge per visit = $3
The yearly cost will depend on the number of visits for the year :
B.) Cost can be represented by a linear function, as the graph it yields is a straight line graph having intercept and slope.
C.) C = mx + b
Where ;
b = intercept = yearly cost
m = slope or gradient = cost per visit
C = total cost
x = number of visits
Hence,
C = 3x + 25
A bookcase has 5 of these bookshelves that are 42 inches long. How many FEET of shelf space is there? Explain your reasoning.
Answers
Answer:
17.5
Step-by-step explanation:
The first step is to convert one bookshelf into feet, so 42 divided by 12=\
3.5
Now, we have 5 of these shelves, so we have to do 3.5 x 5=17.5.
I’m stuck on this I would really appreciate if someone could answer this and explain so I could understand better :)
Answers
It would be C. Since it’s the only 2 angles that form a right angle
23) It takes a bus 6 hours to take a trip. The train takes only 4 hours to make the same trip. The train travels
at a rate of speed that is 25 mph more than the speed of the bus. What is the rate of the bus and the rate of
the train? State what x represents, state the equation, and then state the answer.
Rate Time Distance
Bus x 6 бах
Train x-? 2(x+3)
Distance bus travels – Distance train travels
Answers
Answer:
x = 50 mph speed of the bus
y = 75 mph speed of the train
Step-by-step explanation:
Lt´s call "x" speed of bus and "y" speed of train.
According to the problem statement
6*x = 4*y (1)
y = x + 25 (2)
We solve for x and y the two equation system
y = ( 6/4)*x
( 6/4)*x = x + 25
6*x = 4*x + 100
2*x = 100
x = 50 mph
And
y = (6/4)*x
y = 300/4
y = 75 mh
find the measure of interior angle of a regular 15-gon
A. 158.8
B. 169
C. 156
D. 150
Answers
Answer:
c.155 the answer is C. 156
The height (in feet) of a certain rocket t seconds after it leaves the ground is modeled by
h(t) = - 16t^2 + 48t. What is the shortest time it takes the rocket to reach a height of 35feet. Be
sure to include units. Round to the hundredths place.
Answers
Answer:
The answer is 1/2 second
Step-by-step explanation:
Hope this helps
help help helpe help !!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Yes it is a right triangle
Step-by-step explanation:
Brainliest pls
a shark begin at 172 M below sea level and then swim up hunting 37 meters where is the Sharks location now in relation to sea level
Answers
Answer:
135 meters
Step-by-step explanation:
172 minus 37 equals 135
Will mark brainliest please help
Answers
Answer:
wuts the question?
Step-by-step explanation:
??????????
Jen is sewing together fabric rectangles to make a bookmark
width 10 cm 9 cm
length 3 cm
What is the area of the bookmark?
A) 27 cm2
B) 30 cm2
C) 57 cm2
D) 60 cm2
Answers
What form is the equation in?
y = 2x2-8x+7
Answers
Answer:
standard form
Step-by-step explanation:
f(x)=ax^2+bx+c
Find the value of zα/2 to construct a confidence interval with level 95%. Round the answer to two decimal places.
Answers
Answer:
The value is [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Step-by-step explanation:
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Eight boys and fifteen girls are in a classroom. What is the probability of choosing a boy or a girl from the
class?
Answers
Answer:
it would be 8 to 15
Step-by-step explanation:
you would write it as a fraction 8/15. then, you would try and simplify it. because you cant simplify 8/15 anymore, your answer would be 8/15! hope this helps :)
9. Alan invests £425 in a savings account paying 4.14% compound interest.
a. How much will his investment be worth after three years?
b. Express the amount paid as a percentage of the amount invested
Answers
PLS HELP SOMEBODY I NEED HELP
Answers
Answer: 36 + 4d
Step-by-step explanation:
so basically we just distribute to all the numbers in the parantheses. so 4 times 9 is 36 and 4 times d is 4d.
A professional language translator gets paid an average of $320 per hour with a standard deviation of $41.75 per hour. What proportion of professional language translators get paid less than $250 per hour? Assume the population is normally distributed. Round your answer to four decimal places
Answers
Answer:
0.0475 or 4% professional language translators get paid less than $250 per hour
Step-by-step explanation:
Mean = 320
Standard Deviation = 41.75
We need to find proportion of professional language translators get paid less than $250 per hour i.e P(x<250)
First we will find value of z
Using formula: [tex]z=\frac{x-\mu}{\sigma}[/tex]
We have x=250, finding z
[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{250-320}{41.75}\\z=-1.67[/tex]
Now we will find P(z<-1.67) by looking into the normal distribution table
[tex]P(z<-1.67)=0.0475\\[/tex]
So,0.0475 or 4% professional language translators get paid less than $250 per hour
15. Harold learned that 6 out of 10 students at his school live within two miles of the school. If 240 students attend Grade 6 at his school, about how many of these students should Harold expect to live within two miles of the school? A 24 ® 40 © 144, 180
Answers
Answer:
144
Step-by-step explanation:
Write a equation(or whatever it is called)
6/10=x/240Cross multiply, 1440=10xDivide, 144=xCheck your work:
6/10=144/240Cross multiply, 1440=1440I need help please help me guys with the correct answer
Answers
Answer:the answer is D
Step-by-step explanation:
it is
Rick is traveling at a rate of 9 miles every 12 minutes. Ann is traveling at a rate of 50 miles an hour. If both cars start at
the same place at the same time, and are going to the same place, who will reach their destination first? Show and
explain how you know. Be sure to include appropriate units.
Answers
Answer:
9
Step-by-step explanation:
George earns $8 1/4 an hours. He is paid 1 1/2 times the regular rate when he works over time. How much does he make per hours when he works overtime?
Answers
a) Show that x² - 8x + 20 can be written in the form (x - a)² + a where a is an integer.
b) Hence explain how you know that x² - 8x + 20 is always positive.
I have worked out the first bit of the question and the answer is:
x²-8x+20
x²-8x+16-16+20
(x-4)²+4
(x-a)²+a
a= 4
I just need help with part b and I'm struggling to do it. Please help.
Answers
You know that (x-4)^2 is greater than or equal to 0 so by adding 4, the result will always be positive.
Answer:
Step-by-step explanation:
b) x^2 - 8x + 20 is always positive because in part a, you figured out that it could also be written as (x-4)^2 + 4.
You know that (x-4)^2 is greater than or equal to 0 so by adding 4, the result will always be positive
Luke's pencil case measure 1.5 inches by 4 inches by 6 inches. How many pencils can he fit in his pencil case if each pencil has a volume of 3 square inches?
Answers
Answer:
b
Step-by-step explanation:
How? 1.5x4x6=36 then, 36/3=12 because each pencil has a volume of 3, so 12 is your answer.