Answer:
6 hrs 36 mins
Step-by-step explanation:
Bus at 6:55
Minutes to get to the bus 19.
deduct 19 Minutes from 6:55 = 6 hrs 36 mins
At the county fair, the operator of a game guesses a contestant’s weight. For each pound the operator’s guess differs from the contestant’s weight, the contestant will receive \$3$3. A contestant weighing xx pounds received \$15$15 when the operator guessed 120120 pounds. Which of the following equations could be used to solve for the weight of the contestant? Choose 1 answer: 3 | x - 15 | = 120
Answer: [tex]| x - \frac{15}{3} | = 120[/tex] or [tex]\frac{1}{3}| 3 x - 15|= 120[/tex] or [tex]| 3x - 15| = 360[/tex] or [tex]| x - 5 | = 120[/tex]
Step-by-step explanation:
Since, According to the question,
For each pound the operator’s guess differs from the contestant’s weight, the contestant will receive $3.
And, If a contestant weighing x pounds received $15
Then the guessed weight of contestant = [tex]| x - \frac{15}{3} |[/tex]
But, Again according to the question,
The guessed weight is 120 pounds,
Thus, [tex]| x - \frac{15}{3}|= 120[/tex]
⇒ [tex]\frac{1}{3}| 3 x - 15|= 120[/tex]
⇒ [tex]| 3x - 15|= 3\times 120[/tex] (by multiplying 3 on both sides)
⇒ [tex]| 3x - 15|= 360[/tex]
⇒ [tex]3| x - 5|= 360[/tex]
⇒ [tex]| x - 5|= 120[/tex] ( On dividing both sides by 3 )
Answer:
3|x-120|=15
Step-by-step explanation:
what's that?
your welcome ;)
What is the inverse of f(x)=(x-5)^2 for x greater or equal to 5 where function g is the inverse of function f
The inverse function of f(x) = (x - 5)² for x greater or equal to 5 is g(x) = sqrt(x) + 5.
Explanation:The function f(x) = (x - 5)² for x greater or equal to 5 has a specific inverse function denoted as g(x). To find the inverse of a function, one typical solution is to replace f(x) with y, swap x and y, and solve for y. Here, it means writing y = (x - 5)², changing it to x = (y - 5)², and solving for y.
The solved y function is g(x) = √(x) + 5 (where sqrt indicates a square root), ensuring the range for x is greater than or equal to 5 to adhere to the original function constraints.
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Emma brandy and Damien will cut a rope that is 29.8 feet long into 3 jump ropes. Each of the three jump ropes will be the same length l. Write a division sentence using compatible numbers to estimate the length of each rope.
Answer: Length of each of rope will be 9.93 feet.
Step-by-step explanation:
Since we have given that
Length of rope that Emma brandy and Damien will cut = 29.8
Number of jumps = 3
According to question, each of the three jumps ropes will be the same length l.
Length of rope can be attained by dividing the length of rope with number of jumps.
so, length of each rope will be
[tex]l=\frac{\text{Length of rope}}{\text{Number of jumps cut into }}\\\\=\frac{29.8}{3}\\\\=9.93\ feet[/tex]
Hence, Length of each of rope will be 9.93 feet.
Tom has a large photo he wants to shrink to wallet-sized. It's width is 20 centimeters and it's len is 30 centimeters. If he wants the width to be 5 centimeters what should the length be?
Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x< or = to 110)
Answer:
97.8%
Step-by-step explanation:
110 is 2 standard deviations above the mean (6+6 = 12)
12+98 = 110
Looking at the standard deviation curve
P(x< or = to 110) = 1 - P(x>110)
We can find the probability that x>100 by adding anything above 2 standard deviations above the curve.
P(x>110) = 2.1+.1 = 2.2%
P(x< or = to 110) = 1 - P(x>110)
= 1- 2.2%
= 1- .022
= .978
= 97.8 %
Answer:
0.975
Step-by-step explanation:
A P E X
Carmen enters a painting in an art contest. The contest rules say that all paintings must be rectangular, with an area no greater that 3,003.04 cm2. Carmen painting is 16 cm wode. What is the greatest lenth the painting can have and still have an area within the contest rules?
Answer:
187.69 cm
Step-by-step explanation:
We have that the maximum area allowed for the painting = 3003.04 [tex]cm^{2}[/tex].
Also, the width of Carmen's painting = 16 cm.
It is required to maximum length of Carmen's painting that will be eligible to take part in the competition.
Let the maximum length of the painting = L cm.
Since, Area of a rectangle = length of the rectangle × width of the rectangle.
i.e. 3003.04 = L × 16
i.e. [tex]L=\frac{3003.04}{16}[/tex]
i.e. L = 187.69 cm
Hence, the length of the painting should not exceed 187.69 cm in order to be eligible to participate in the competition.
Mr robbins earns a commission on each airfare he books. At the end of the day,he had booked $208.60 worth if airfare and earned $31.29. Approximately what is Mr. Robins commision rate.
Answer:
Mr. Robins commision rate is 15%.
Step-by-step explanation:
Formula
[tex]Percentage = \frac{Part\ value\times 100}{Total\ value}[/tex]
As given
Mr robbins earns a commission on each airfare he books.
At the end of the day,he had booked $208.60 worth if airfare and earned $31.29.
Here
Part value = $31.29
Total value = $208.60
Put in the formula
[tex]Percentage = \frac{31.29\times 100}{208.60}[/tex]
[tex]Percentage = \frac{312900}{20860}[/tex]
Percentage = 15%
Therefore the Mr. Robins commision rate is 15%.
Janie receives an allowance of \$3$3 per week. In addition, she can earn \$2$2 for each chore she does. This week, she wants to earn enough money to buy a CD for \$13$13. Janie can do fractions of chores. Write an inequality to determine the number of chores, cc, Janie must do this week to earn enough money to buy a CD.
Answer:
Number of chores done by Janie are 5.
Step-by-step explanation:
Janie's allowance per week is $3.
For each chore she earns $2.
Now we assume that number of chores in a week she does = c
Then total earning from chore = $2 × c
So for the purchase of CD total earning this week inequality will be
⇒ 3 + 2c [tex]\geq[/tex]13
⇒ 2c [tex]\geq[/tex] 13-3
⇒ c [tex]\geq[/tex] 10÷2
⇒ c [tex]\geq[/tex] 5
Math Help:
Which two answers are correct?
Answer:
see below
Step-by-step explanation:
The odd degree (7) tells you the end behaviors are in opposite directions. The negative leading coefficient (-4) tells you the sign of y will be opposite the sign of x.
For x going toward negative infinity, y goes toward positive infinity.
For x going toward positive infinity, y goes toward negative infinity.
A herd of dinosaurs made paintings in the sand with their claws. Each baby dinosaur made 1515 paintings and each adult dinosaur made 77 paintings. The entire herd made 208208 paintings in total, and there were 33 times as many baby dinosaurs as adult dinosaurs. How many baby dinosaurs and adult dinosaurs were there?
Answer:
4 adult dinosaurs and 12 baby dinosaurs.
Step-by-step explanation:
Let the number of adult dinosaurs be x.
Number of baby dinosaurs = 3x
Number of paintings made by each baby dinosaur = 15
Number of paintings made by each adult dinosaur = 7
Total number of paintings made by 3x baby dinosaurs = Number of baby dinosaurs * Number of paintings made by each baby dinosaur
= 3x * 15
= 45x
Total number of paintings made by x adult dinosaurs = Number of adult dinosaurs * Number of paintings made by each adult dinosaur
= x * 7
= 7x
Total number of paintings made by both baby and adult dinosaurs = 45x + 7x
= 52 x
Again the problem says that the total number of paintings made = 208
So, 52x = 208
Dividing both sides by 52
[tex]\frac{52x}{52}[/tex] = [tex]\frac{208}{52}[/tex]
Cancelling out the 52's from the top and bottom on the left
x = 4
So, number of adult dinosaurs = 4
Number of baby dinosaurs = 3x = 3*4 = 12
A system of equations based on the information given can be used to find the number of baby and adult dinosaurs. The two equations are 1515b + 77a = 208208 and b = 33a. Solve these to find the number of each type of dinosaur.
Explanation:This problem can be solved by setting up a system of equations. Let's denote the number of baby dinosaurs as 'b' and the number of adult dinosaurs as 'a'. Then, from the statement, we know two things:
'Each baby dinosaur made 1515 paintings and each adult dinosaur made 77 paintings. The entire herd made 208208 paintings in total, we can set up the equation as 1515b + 77a = 208208.'There were 33 times as many baby dinosaurs as adult dinosaurs', so this can be represented as b = 33a.By substituting the second equation into the first, we can determine the number of adult dinosaurs, and subsequently, the number of baby dinosaurs. Solving this would give us the solution needed.
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in 2004, there were approximately 7100 cinema sites. In 2000, there were 8300.
Write an equation describing this relationship.
The relationship between the year and the number of cinema sites can be expressed with the linear equation y = -300x + 608300, where y is the number of cinema sites and x is the year. This equation was derived by calculating the slope and y-intercept using the points provided.
Explanation:The subject of the question falls into the domain of mathematics, specifically algebra. We are given two points on a line where the x-axis is the year and the y-axis represents the number of cinema sites. The two points are (2000, 8300) and (2004, 7100).
First, we need to calculate the slope, m: m = (y2 - y1) / (x2 - x1) = (7100 - 8300) / (2004 - 2000) = -1200 / 4 = -300.
The slope, -300, is the rate of change suggesting the number of cinemas decreases by 300 each year.
The equation of the line, or the linear equation, will be in the form y = mx + b. We now need to find the y-intercept (b) by substituting one of our points into the equation and solving for b.
If we use the point (2000, 8300): 8300 = -300*2000 + b. Solving for b gives b = 8300 + 600000 = 608300.
Therefore, the equation describing the relationship between the year and the number of cinema sites is y = -300x + 608300.
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Translate the equation into slope-intercept form.
2x + 3y = 9
help me plzzzzzzzzz!
Which values from the given replacement set make up the solution set of the inequality?
2b–4≥2 ; {1,2,3,4}
{1,2}
{3,4}
{1,2,3}
{2,3,4}
A salesperson earns a salary of $700 per month plus 2% of the sales. Which inequality correctly represents the total sales if the salesperson is to have a monthly income of at least $1800?
x ≤ $45,000
x ≤ $55,000
x ≥ $55,000
x ≥ $45,000
Answer:
C. [tex]x\geq 55000[/tex]
Step-by-step explanation:
Let x be the total monthly sales.
We have been given that a salesperson earns a salary of $700 per month plus 2% of the sales. The salesperson want to have a monthly income of at least $1800.
This means that 700 plus 2% of total monthly sales should be greater than or equal to 1800. We can represent this information in an equation as:
[tex]700+(\frac{2}{100})x\geq 1800[/tex]
[tex]700+0.02x\geq 1800[/tex]
Let us solve our inequality to find the monthly sales (x).
Subtract 700 from both sides of our inequality.
[tex]700-700+0.02x\geq 1800-700[/tex]
[tex]0.02x\geq 1100[/tex]
Divide both sides of inequality by 0.02.
[tex]\frac{0.02x}{0.02}\geq \frac{1100}{0.02}[/tex]
[tex]x\geq \frac{1100}{0.02}[/tex]
[tex]x\geq 55000[/tex]
Therefore, the total monthly sales must be greater than or equal to 55,000 and option C is the correct choice.
Brian Steve and Rita invested a total of $24,000 in a business each person invested the same amount unfortunately in the first quarter they suffered a loss of $4500 which they shared equally by what amount as each individual investment change due to the loss
Answer:
Each individual investment changed by $2250 due to the loss.
Step-by-step explanation:
It is given that Brian Steve and Rita invested a total of $24,000 in a business.
Each person invested the same amount. So amount invested by each person is
[tex]\frac{24000}{2}=12000[/tex]
Therefore invested by each person is $12000.
They suffered a loss of $4500, which they shared equally. Each individual suffered a loss of
[tex]\frac{4500}{2}=2250[/tex]
Therefore Brian Steve and Rita suffered a loss of $2250 each. So, each individual investment changed by $2250 due to the loss.
Answer:
1500
Step-by-step explanation:
Approximately how many time greater is the amount of earth surface that is covered by water compared to the amount of earth of earth surface that is covered by land?
Answer:
The amount of the earth’s surface covered by water is 2.12*10^8 greater than the amount of the earth’s surface covered by land.
Step-by-step explanation:
(Subtraction of scientific notation)
Earth’s surface covered by water- 3.61*10^8
Earth’s surface covered by land- 1.49*10^8
(3.61*10^8) - (1.49*10^8)
(3.61-1.49) *10^8
2.12*10^8
Hope this helps you out
A 1200 sq ft house is advertised for sale at a price of 96000. What is the cost per square foot?
Answer:$80.00
Step-by-step explanation:
APEX
Lisa's favorite chocolate candies are wrapped in the shape of a triangular prism with shiny gold paper as shown below. If all sides of the package are covered in the gold paper, what is the surface area of the amount that is wrapped?
Answer:
Surface Area = 150
Step-by-step explanation:
The surface area of this triangular prism is the sum of area of all the sides.
Surface Area = triangle 1 (with base 8 and height 3) + triangle 2 (same as triangle 1) + lateral surface 1 (with length 7 and width 5 (calculation shown below)) + lateral surface 2 (same as lateral surface 1) + bottom (side not shown with length 7 and width 8)
Triangle 1 area: [tex]\frac{1}{2}bh=\frac{1}{2}(8)(3)=12[/tex]Triangle 2 area: [tex]\frac{1}{2}bh=\frac{1}{2}(8)(3)=12[/tex]Lateral surface 1 (rectangle): [tex]l*w=(7)(5)=35[/tex]Lateral surface 2 (rectangle): [tex]l*w=(7)(5)=35[/tex]Bottom surface (rectangle): [tex]l*w=(7)(8)=56[/tex]Summing all these gives us the total surface area.
Total surface area = [tex]12+12+35+35+56=150[/tex]
**** The triangle shown is divided into half by the perpendicular line (3cm) to the base. So the base is divided in half (4 cm and 4 cm).
Now, we have a right triangle with one leg 4 cm and another leg 3 cm. How do we get the hypotenuse? We use Pythagorean Theorem. Which is:
[tex]leg^2+leg^2=hypotenuse^2\\3^2+4^2=hypotenuse^2\\25=hypotenuse^2\\hypotenuse=5[/tex]
Hence, the side length of the hypotenuse is 5 [used above in the calculation]
Eric made two investments: Investment Q Q has a value of $ 5 0 0 $500 at the end of the first year and increases by $ 4 5 $45 per year. Investment R R has a value of $ 4 0 0 $400 at the end of the first year and increases by 1 0 % 10% per year. Eric checks the value of his investments once a year, at the end of the year. What is the first year in which Eric sees that investment R R's value exceeded investment Q Q's value?
Answer: After 8 year from the first year Eric will see that investment R's value exceeded investment Q's value.
Step-by-step explanation:
Let after x year from the first year Eric sees that investment R's value exceeded investment Q's value.
Investment Q has a value of $ 500 at the end of the first year and increases by $ 45 per year.
Thus, after x year from the first year the total amount of Investment Q,
500 + 45 x
Similarly, after x year from the first year the total amount of Investment R,
⇒ [tex]400(1+\frac{10}{100} )^x = 400(1.1)^x[/tex]
Thus, [tex]500 + 45 x = 400(1.1)^x[/tex]
By plotting the equations in the graph,
We get, x = -6.178 or 8.069
But year can not be negative,
Therefore, x = 8.069
Thus, Approx after 8 year from the first year Eric will see that investment R's value exceeded investment Q's value.
Answer: it’s 10 I’m 100% sure
Solve by elimination
2x-y=0
3x-2y=-3
To solve a system of equations by elimination, make the coefficients of one variable equal. Subtract one equation from the other to solve for one variable, then substitute this solution into one of the original equations to solve for the other variable. In this case, the solution to the given system of equations is x = 3, y = 6.
Explanation:In mathematics, specifically in algebra, the method of elimination is used to solve a system of simultaneous equations. Your equations are:
2x -y = 03x - 2y = -3To solve this system by elimination, we need to make the coefficients of y in both equations equal by multiplying if necessary. We can obtain this by multiplying the first equation by 2:
4x - 2y = 0
3x - 2y = -3
Next, we subtract one equation from the other to eliminate y:
4x - 3x = 0 - (-3) => x = 3
To find y, substitute x = 3 into the first equation:
2*3 - y = 0 => y = 2*3 = 6
So, the solution to the system of equations is x = 3, y = 6.
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If l and m are parallel, which pairs of angles are congruent? SELECT ALL THAT APPLY
1 and 3
2 and 4
6 and 7
3 and 6
Answer:
(<1 and <3) (<2 and <4) (<3 and <6)
Step-by-step explanation:
1 and 3 are corresponding equal angles
If one and three are equal, so are 2 and 4 since they are supplementary to equal angles.
6 and 7 are supplementary but not equal.
3 and 6 are equal angles because they are alternate interior angles.
A ticket cost $4.80 the new ticket price will be 1.25 times the old price what will the new ticket be
The new ticket price after a 25% increase from the original price of $4.80 will be $6.00.
Explanation:The question asks about the new cost of a ticket if its current price is $4.80 and a 25% (or 1.25 times) increase is applied, so we perform a simple multiplication. To find out the new ticket price, we need to calculate 1.25 times the original price. Therefore, the new ticket price will be 1.25 times $4.80, which can be calculated as follows:
1.25 * $4.80 = $6.00
Hence, the new ticket price after the 25% increase will be $6.00.
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Stock in Ombor Medical Supplies earns a return of 5.3% annually, while bonds issued by Ombor Medical Supplies earns a return of 4.1% annually. If you invest a total of $2,400 in Ombor Medical Supplies, $1,400 of which is in bonds and $1,000 of which is in stocks, which side of the investment will show a greater return after six years, and how much greater will it be?
a. The stocks will earn $55.60 more than the bonds.
b. The stocks will earn $118.60 more than the bonds.
c. The bonds will earn $82.00 more than the stocks.
d. The bonds will earn $26.40 more than the stocks.
Answer:
d. The bonds will earn $26.40 more than the stocks.
Step-by-step explanation:
Assuming, the rates are uniform for 6 years.
Stock in Ombor Medical Supplies earns a return of 5.3% annually, so $1000 will yield annually;
[tex]0.053\times1000=53[/tex] dollars
Total amount in 6 years will become = [tex]53\times6=318[/tex] dollars
Bonds issued by Ombor Medical Supplies earns a return of 4.1% annually, so $1400 will yield annually;
[tex]0.041\times1400=57.40[/tex] dollars
Total amount in 6 years will become = [tex]57.40\times6=344.40[/tex] dollars
We can see that bonds have high yield than stocks.
So, difference amount is = [tex]344.40-318=26.40[/tex] dollars.
Therefore, The bonds will earn $26.40 more than the stocks.
Answer:
it is d
Step-by-step explanation:
i took the edu test :)
A middle school keeps track of its population. In 2011, the school population was 1500 students. In 2012, the student population had increased by 10%. In 2013, the student population had decreased by 10%. Andy believes that the 2013 student population is the same as the 2011 student population since the population both increased and decreased by the same percentage. Identify and explain the flaw in Andy's reasoning. Determine the percent change in the number of students from 2011 to 2013.
Answer:
-1%
Step-by-step explanation:
The population will not be the same unless the starting value is the same. Percent is a portion of the total 100%. If the total in 2011 and 2012 was different, then the change in population will be different.
In 2011, the population was 1500 students.In 2012, the population was 10% more than 1500. 1500+1500(0.10)=1500+150=1650In 2013, the population decreased by 10% from 1650. 1650-1650(0.10)=1650-165=1485.To find the percent change,
To calculate the percent increase or decrease, we:
Find the difference between the new value and the original Divide the number by the original Multiply by 100 and the % symbol.The population originally in 2011 was 1500. In 12013, the population is 1485.
1485-1500=-15
-15/1500=-0.01
100(-0.01)=-1%
0.75(100)=75%
The towns population increase by 75%
Andy's reasoning is flawed because the percentage increase and percentage decrease do not result in the same net change in population. The percent change in the number of students from 2011 to 2013 is a 1% decrease.
Explanation:Andy's reasoning is flawed because the percentage increase and percentage decrease do not result in the same net change in population. Let's calculate the population in 2012 after a 10% increase. 10% of 1500 students is 150 students. So the population in 2012 would be 1500 + 150 = 1650 students.
Now, let's calculate the population in 2013 after a 10% decrease from 1650 students. 10% of 1650 students is 165 students. So the population in 2013 would be 1650 - 165 = 1485 students.
To determine the percent change in the number of students from 2011 to 2013, we calculate the difference between the initial population (1500 students) and the final population (1485 students) and divide it by the initial population. (1500 - 1485) / 1500 = 15 / 1500 = 0.01 or 1%. Therefore, there was a 1% decrease in the number of students from 2011 to 2013.
One factor of f(x)5x^3+5x^2-170+280 is (x + 7). What are all the roots of the function? Use the Remainder Theorem.
a. x = –4, x = –2, or x = 7
b. x = –7, x = 2, or x = 4
c. x = –7, x = 5, or x = 280
d. x = –280, x = –5, or x = 7
Answer: (b) x = -7, x = 2, x = 4
Step-by-step explanation:
Remainder Theorem is used to determine if a given value is a root.
It is stated that (x + 7) is a root ⇒ x + 7 = 0 ⇒ x = -7
We can confirm this by plugging in x = -7 and getting a value of 0.
f(x) = 5x³ + 5x² - 170x + 280
f(-7) = 5(-7)³ + 5(-7)² - 170(-7) + 280
= -1715 + 245 + 1190 + 280
= 0
CONFIRMED that x = -7 is a zero!
Next, let's try x = 2
f(2) = 5(2)³ + 5(2)² - 170(2) + 280
= 40 + 20 - 340 + 280
= 0
CONFIRMED that x = 2 is a zero!
Lastly, let's try x = 4
f(4) = 5(4)³ + 5(4)² - 170(4) + 280
= 320 + 80 - 680 + 280
= 0
CONFIRMED that x = 4 is a zero!
Three times one number minus another number equals 34. If the sum of the numbers is 22, what are the two numbers?
Answer:
8 and 14
Step-by-step explanation:
let the 2 numbers be x and y with x > y
We can model the situation using the following 2 equations
x + y = 22 → (1)
3x - y = 34 → (2)
adding the equations term by term will eliminate the term in y
(x + 3x) + (y - y) = (22 + 34)
4x = 56 ( divide both sides by 4 )
x = 14
substitute x = 14 into (1)
14 + y = 22 ⇒ y = 22 - 14 = 8
Where can the perpendicular bisectors of an acute triangle intersect?
I. Inside the triangle
II. On the triangle
III. Outside the triangle
A. I only
B. III only
C. I or III only
D. I, II, or III
Answer:
D
Step-by-step explanation:
Answer:
I and II
Step-by-step explanation:
Statement I: The perpendicular bisectors of ABC intersect at the same point as those of ABE.
Statement 1 is true because the perpendicular bisectors intersect at the center of the circumcircle.
Since the two triangles have the same circumcircle, therefore, their perpendicular bisectors intersect at the same point. So statement I is true.
Statement II: The distance from C to D is the same as the distance from D to E.
Since they both, that is distance from C to D and the distance from D to E represent the radius of the circle therefore, they both are equal in length.
Therefore, only I and II are correct.
pErIoD
Which of the following is described as a line, segment, or ray that bisects a segment at a right angle?
A. Slope
B. Perpendicular bisector
C. Midpoint
D. Angle bisector
Answer:
option B
Step-by-step explanation:
the correct answer is option B
A Line, segment, or ray that bisects a segment at a right angle is Perpendicular bisector.
The slope of the is the rate of change of y-axis w r t to x-axis.
Midpoint is the center of any line segment.
An angle bisector is a line which bisects angle in equal proportion
Taylor has $97.23 and her checking account she uses debit card to spend 29 .74 and then deposits 118.08 into her accounts what is Taylor's new balance
Answer:
Taylor's new balance is $ 185.57 .
Step-by-step explanation:
As given
Taylor has $97.23 and her checking account.
she uses debit card to spend $29 .74 .
Than
Balance in the account after uses debit card = $97.23 - $29.74
= $ 67.49
As given
Then deposits $118.08 into her accounts.
Total balance of the account = $118.08 + $67.49
= $ 185.57
Therefore Taylor's new balance is $ 185.57 .
Answer:
$185.57
Step-by-step explanation:
BRAINLIEST!!HELPPP!!
Answer:
the answer if am not wrong would be C.n+5
Step-by-step explanation: