The table below shows Katie's bank account balance at the end of the first three months of the year. If she deposits $180 in April and makes no withdrawals, find the rate of change from January to April.
A) $101/month
B) $75.75/month
C) -$19/month
D) $14.25/month
E) -$84/month
Answers
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{525})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{828}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{828}-\stackrel{y1}{525}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{1}}} \implies \cfrac{ \stackrel{\$}{303} }{ \underset{months}{3} } \implies \cfrac{\stackrel{\$}{101}}{\underset{months}{1}}\implies 101~\frac{\$}{month}[/tex]
Related Questions
PLease Help!!!!!!!!!!
Answers
Answer:
50%
16%
40%
-35%
40%
Step-by-step explanation:
One afternoon, Dillon and 3 friends visit the zoo. They split the cost of parking the car evenly. Then each person buys a ticket to enter the zoo. By the end of the afternoon, each person has also purchased 2 bottles of water.
• Let p represent the parking cost.
• Let t represent the ticket cost.
• Let w represent the cost of a bottle of water.
Use the dropdowns to complete the statements.
(A) One way to express the total cost is to find the cost per person for a ticket and water. Then multiply this expression by
Choose...
and add
the parking cost
.
(B) The expression for total cost described in part A is
Choose...
+
p
.
(C) Another way to express the total cost is to add the cost of
Choose...
tickets plus the cost of
Choose...
bottles of water plus
the parking cost
.
(D) The expression for total cost described in part C is
Choose...
.
Answers
13 ......................
Answer:
Step-by-step explanation:
A
What is the measure of angle C?
A. 92°
B. 105°
C. 120°
D. 130°
Answers
Here’s a little trick:
The names of both figures maps to the corresponding letter. So, in MRDLP, P maps to C in HJOBC. This is because both P and C are the last letters of the figure. The same is true of any other letter, such as M. Angle M maps to angle H. This trick works most of the time because corresponding points of Congruent figures must be named in corresponding order.
Jake’s class sold chocolate bars to raise money for the school. He entered the number of chocolate bars sold in column A of his spreadsheet. He entered the function rule into the computer to calculate the entries in column B and C.
What is the function rule that Jake used to get the results from Column A to C?
Answers
Answer:
i think a to c is dividing by 4.5
Step-by-step explanation:
Kyle is shopping for his favorite
cereal at the grocery store. The
9 ounce box costs $2.52 while the 12 ounce box costs $3.60. Which is the better deal? How much will he save per ounce?
For an example i’m going to use answer A as example BTW
9 oz.; 2 cents/ oz. The / between cents and oz. Means per ounce
Answers
Answer:
The nine ounce box is the better deal.
Step-by-step explanation:
Kyle will save 2 cents/oz.
Answer: 9oz pack is better. C.
Step-by-step explanation:
9 ounces=$2.52
3 ounces=$0.84
1 ounce=$0.28
12 ounces=$3.60
3 ounces=$1.20
1 ounces=$0.30
0.30-0.28=0.02
3 ounces cost more for the 12oz pack than the 9oz pack.
Maria claims that any fraction located between 1/5 and 1/7 on a number line must have a denominator of 6.
Enter a fraction that shows Maria's claim is incorrect.
Answers
Step-by-step explanation:
I want to know about exponent and surds
Explanation:
Let's rewrite each given fraction with a common denominator of 5*7 = 35.
1/5 = (1/5)*(7/7) = 7/35
1/7 = (1/7)*(5/5) = 5/35
Then we can see that 6/35 is between 5/35 and 7/35, since 6 is between 5 and 7.
Put another way: 5/35 < 6/35 < 7/35 since 5 < 6 < 7
This then means 1/7 < 6/35 < 1/5
Therefore, Maria's claim is incorrect.
Anyone able to help me with this problem?
Answers
Answer:
since the 2 trapezium's are congruent SD should be equal to KO which is 2
so the answer is a)2 units
Hope it helps :)
Answer:
a. 2 units.
Step-by-step explanation:
The answer is two units because the trapezium ABSD is equal to PLOK, meaing that SD and KO should also be equal. Meaning that SD equals 2 units.
Please someone help me it's due tomorrow.
Answers
Answer:
Step-by-step explanation:
fgdfgdfgdfgfdgfdgfdgfdgfd
Pick any two points on the line and plug into your formula.
(x1,y1)=>(1,28)
(x2,y2)=>(2,36)
m=(36-28)/(2-1) => 8/1
Thus the slope (rate of change/gradient) is 8.
PLEASE HELP IM DOING MULTIPLE QUESTIONS ILL GIVE BRAINLIEST FOR ALL QUESTIONS TODAY
Answers
Answer:
[tex]s\geq 45[/tex]
Step-by-step explanation:
First, we need to find out how many spoons Lily actually needs.
420-159=420-160-1=269
Next, we need to find out how many packs of spoons Lily needs.
269/6=44.83333333…
Now we need to round this number down and add 1.
44+1=45
Finally, we need make an inequality. Remember, “at least” means greater than or equal to.
[tex]s\geq 45[/tex]
When Alex bought his new car
in 2006, it was worth $28,350.
In 2015, it was worth a third
of its original value. Find the
rate of change in the value of
the car from 2006 to 2015.
A) -$1,275/yr
B) -$1,500/yr
C) -$1,650/yr
D) -$1,800/yr
E) -$2,100/yr
Answers
Answer:
A) -$1,275/yr
Step-by-step explanation:
The value of the car in 2015 was a third of its original value in 2006, which means that the value of the car decreased by 2/3.
To find the rate of change, we can use the formula:
rate of change = (final value - initial value) / (time elapsed)
In this case, the initial value is $28,350, the final value is a third of that value, which is $28,350 * (2/3) = $18,900. The time elapsed is 2015 - 2006 = 9 years.
So the rate of change is:
rate of change = ($18,900 - $28,350) / 9 = -$9,450 / 9 = -$1,050/yr
Therefore, the rate of change in the value of the car from 2006 to 2015 is -$1,050/yr.
The correct option is A) -$1,275/yr
The rate of change in the value of the car from 2006 to 2015 is -$1,800/yr, the correct option is D
What is the average rate of change?The average Rate of Change of the function f(x) can be calculated as;
[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]
f(x) represents the function x
Given;
Its worth in 2006= $28,350
In 2015 it was worth a third of its original value
Now,
Car value in 2015= 1/3 x 28,350
=9450
Number of years from 2006 to 2015
=8
Rate of change in value per year= 9450/8
=1181
Therefore, the rate of change will be -$1,800/yr
Learn more about average rate;
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consider the equation "-7=1/2(z+12)"
Answers
[tex]-7=\dfrac{1}{2} (z+12)[/tex]
Distribute:
[tex]-7=(\dfrac{1}{2} )(z)+(\dfrac{1}{2} )(12)[/tex]
[tex]\dfrac{1}{2} z+6=-7[/tex]
Subtract 6 from both sides:
[tex]\dfrac{1}{2} z+6-6=-7-6[/tex]
[tex]\dfrac{1}{2} z=-13[/tex]
Multiply both sides by 2:
[tex]2\times(\dfrac{1}{2} z)=2\times(-13)[/tex]
[tex]\fbox{z = -26}[/tex]
Answer:
-26
Step-by-step explanation:
1. distribute
1/2z+6=-7
-7-6=-13
1/2z=-13
-13 / 1/2 = -13 x 2/1 = -26
z = -26
double check:
1/2(-26+12)
1/2 (-14)
1/2 = -14 = -7 ✔️✔️
What is the area of the shaded region? (picture)
Answers
Answer:
16-[tex]x^{2}[/tex]
Step-by-step explanation:
Take the area of the whole square (4x4=16) and subtract the area of the smaller square ([tex]x^{2}[/tex])
Can i get help. Due tomorrow.
Answers
Answer:
5,13
Step-by-step explanation:
If you divide 109/8= you get 13
The initial value is 5
the rate of change is 13 each month
5 cards + 13 x 8 months=109 cards
What the measure of ∠2?
Answers
132=180
180-132 = 48
angle 2 = 48 degrees
TEN POINTS :)
This is probably very easy for some
HELP HELP HELP
3,4,5
Please mind my bad handwriting lol
Answers
10 is the second one
7 is the last one
give brainliest if possible;)
10 for the second
7 for the 3rd
The owner of Paradise Pets works hard to keep her store clean. It takes her 15 minutes to clean 2 hamster cages.
Complete the table.
Minutes 15 30
90
Cages cleaned 2
8
Answers
Answer:
Minutes 15 - Cages 2
Minutes 30 - Cages 4
Minutes 45 - Cages 6
Minutes 60 - Cages 8
Minutes 75 - Cages 10
Minutes 90 - Cages 12
Answer: hope this helps ♡
7.5 min = 1 cage (times 2)
15 min = 2 cages (times 2)
30 min = 4 cages (times 2)
45 min = 6 cages (times 2)
60 min = 8 cages (times 2)
75 min = 10 cages (times 2)
90 min = 12 cages
The table shows the numbers of bags of different flavors of potato
chips on a store shelf. A customer will randomly select one bag of
potato chips from the shelf.
Potato Chips
Flavor:
Plain = 12
Jalapeño = 18
Ranch = 8
Cheese = 20
Which statement about the flavor of the potato chips chosen is best
supported by the information in the table?
F) The flavor is least likely to be plain.
G) The flavor is twice as likely to be jalapeño as ranch.
H) The flavor is equally likely to be plain, jalapeño, ranch, or cheese.
J) The flavor is more than twice as likely to be cheese as it is to be ranch.
Answers
Answer:
Step-by-step explanation:
we can start with process of elimanation.
f) wrong. this is because 12 is the second smallest number out of the four with ranch being the smallest with 8.
g) wrong. this is because 8x2=16, which means its not twice as likely it would end up. being more than twice as likely.
h) wrong. all of these numbers are different, so are smaller and bigger than others, so the rate of probability is going to be different for each chip type.
j) right. this is because if we do 8x2=16, that is still smaller than 20 so it is MORE than 2x as likely since 20 is a greater number than 16.
CORRECT ANSWER: J.
hope this helped!!
The statement which best supported is J) The flavor is more than twice as likely to be cheese as it is to be ranch.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Total number of chips = 12 + 18 + 8 + 20 = 58
Probability of finding Plain chips = 12/58 = 0.2069
Probability of finding Jalapeno chips = 18/58 = 0.3103
Probability of finding Ranch chips = 8/58 = 0.1379
Probability of finding Cheese chips = 20/58 = 0.3448
The flavor is least likely to be Ranch, not plain.
Twice the probability of Ranch = 0.2759
Hence the correct option is The flavor is more than twice as likely to be cheese as it is to be ranch.
Learn more about probability here :
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.
Which statement about probability is true?
The probability of landing on blue is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on orange.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
Answers
Answer:
The probablilty of landing on blue is greater than the probability of landing on purple!
This is because there are more blue colored sections that purple.
Step-by-step explanation:
Can anyone help with this right answer please
Answers
Answer:
B) 4 units
Step-by-step explanation:
Since EF and QR are same, and EF is 4, then QR is 4 too.
When given a set of cards laying face down that spell F, R, A, C, T, I, O, N, determine the probability of randomly drawing a vowel.
three sevenths
five sevenths
three eighths
five eighths
Answers
Answer: 3/8
Step-by-step explanation:
there are 8 letters in fraction and 3 of those are vowels
Answer:
Step-by-step explanation:3/8
Mr. Baxter has 250 students. Of the 250 students, 130 are girls. What is the ratio of the boys to the total number of students in Mr. Baxter's class
Answers
Answer:
It is 12boys:13girls
Step-by-step explanation:
The total is 250 out of which 130 are girls. So it is 250-130 which is 120boys. Now to find the ratio it is 120:130 which in its simplest form is 12 boys:13 girls.
Kirk, a professional golfer, had an average score last season of 75 points. This season, his average score has been 87 points. What is the percent of increase in Kirk's average score?____%
Answers
The percent of the increase in Kirk's average score is 12%
Let the total score be 100
We know,
Percent = [tex]\frac{part}{total}[/tex] × 100
Percentage of Kirk's score in last season:
[tex]\frac{75}{100\\}[/tex]×100 = 75%
Percentage of Kirk's score this season:
[tex]\frac{87}{100}[/tex]×100 = 87%
Difference in percentage = 87 - 75 = 12%
Thus there is a 12% increase in Kirk's average score.
Learn more about Percentage:
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True or False:
To find a unit price/unit rate, you need to divide the top number by the bottom number, so that your denominator is 1.
Answers
Answer: True
Step-by-step explanation:
The definition of a unit rate is per every one. In this case, the line of the fraction is the "per" we're talking about. Your answer should be the numerator because for a unit rate the bottom number is always 1.
Answer: This is True
Julia keeps track of her driving so that she can take a tax deduction. Julia drove 120 miles last month, in comparison to 78 miles this month. By what percent has her monthly driving decreased?_____%
Answers
Answer:
Step-by-step explanation:
The percent decrease in Julia's monthly driving would be 35.9%. This is calculated by taking the difference between the two months (120 - 78 = 42) and dividing it by the initial amount (120) and then multiplying the result by 100. (42/120)*100 = 35.9%.
Her monthly driving decreased by 35%
Step-by-step explanation:
120m - 78m = 42miles 42/120 × 100 = 35 %A pole that is 3.2m tall casts a shadow that is 1.14m long. At the same time, a nearby tower casts a shadow that is 39.75m long. How tall is the tower? Round your answer to the nearest meter.
Answers
Answer:
112 meters--------------------------------
The heights and shadows are proportional since they form similar triangles.
Set equal proportions and solve for the missing length:
H/h = S/s, where H and h represent heights, S and s - shadows.H/3.2 = 39.75/1.14H = 3.2*39.75/1.14H = 112 (rounded)Answer:
112 meters
Step-by-step explanation:
3.2/1.14 = x/39.75
3.2/1.14 = 2.81
2.81 * 39.75 = 111.57 = 112
Can you solve this for me? Thanks! :>
Answers
Answer:
It would be C
Step-by-step explanation:
Jamal, an NFL running back, rushed for an average of 120 yards per game last season. This season, his average is 168 yards per game. What is the percent of increase in Jamal's average?____%
Answers
Answer:
40%
Step-by-step explanation:
168/120=1.4
1=original
.4=increase
.4---Percent =
.4x100
=40%
Answer: 40
Step-by-step explanation:
168 - 120 = 48
40% of 120 = 48
Therefore, a 40% increase is the correct answer.
The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.
On a graph titled Tammy's Pay, number of hours is on the x-axis and pay in dollars is on the y-axis. A line goes through points (2, 18) and (8, 42).
What does the y-intercept represent?
Answers
Answer: The y-intercept is the initial amount Tammy earns.
Step-by-step explanation:
Always remember that for graphs, the y-intercept is the initial amount. In this case, it would be the initial amount or the very first amount Tammy earns. If the line goes through the origin (0,0), that means that Tammy earns $0.00 for 0 hours of working.
The box plots shown represent the average mileage of two different types of cars. Use the box plots to compare the data sets.
Drag each value to show if it is greater for SUVs, greater for sedans, or if there is not enough information to tell.
Answers
Answer:
Step-by-step explanation:
A cereal box has a height of 32 centimeters. It has a base with an area of 160 square centimeters.
What is the volume, in cubic centimeters, of the cereal box?
ALEKS
screen
-
shot.
thanks.
happy friday the 13th
Answers
Second one: yes it can (180°!!)
Third one: no it can’t (only added up to 134°)
Fourth one: yes it can (180°!!!)
Step-by-step explanation:
#1: 51+24+15=90—NO
#2: 70+45+65=180—YES
#3: 34+42+58=134—NO
#4: 18+120+42=180—YES
