Answer:
a. A continuous graph
b. a straight line graph with a gentle positive slope
c. The graph consists of three straight lines attached end to end, with the first segment being an inclined positively sloped graph, the second segment is an horizontal line while the third segment is a gentle positively sloped straight line
Step-by-step explanation:
a. A continuous graph
Given that the rain gauge is a digital rain gauge, the values transmitted to the indoor display are those collected by the outdoor sensor, we have that the output to the transmitter can be any value within a possible and finite range of values, therefore the graph is continuous
b. Whereby it rained at a constant rate of 0.1 inch per hour over 24-hour period, we have;
i) Whereby the graph is the level of water in the rain gauge over a given period of time, the shape of the graph will be a straight line graph with a gentle positive slope of 0.1 the domain will be from 0 to 24 hours, while the range will be from 0 to 2.4 inches
c) i) Given that i) the rain falls at a constant rate of 0.1 inch per hour for 6 hours, and ii) over the next 6 hours it stops raining, after which iii) it rained 0.2 inch for the next 12 hours, we have;
i) In the first part The graph will be a straight line graph with a gentle positive slope of 0.1, up to the point (6, 0.6)
ii) When the rain stops for 6 hours, from the point (6, 0.6) to the point (12, 0.12) the graph will be an horizontal line
iii) From the point (12, 0.12) to the point (24, 0.24), is represented on the graph by a straight line with a gentle positive slope of 0.2.
Jordan invested $97,000 in an account paying an interest rate of 1.6% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $109,700?
Answer:
t≈ 8
Step-by-step explanation:
\text{Compounded Monthly:}
Compounded Monthly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=109700\hspace{35px}P=97000\hspace{35px}r=0.016\hspace{35px}n=12
A=109700P=97000r=0.016n=12
Given values
109700=
109700=
\,\,97000\left(1+\frac{0.016}{12}\right)^{12t}
97000(1+
12
0.016
)
12t
Plug in values
109700=
109700=
\,\,97000(1.0013333)^{12t}
97000(1.0013333)
12t
Simplify
\frac{109700}{97000}=
97000
109700
=
\,\,\frac{97000(1.0013333)^{12t}}{97000}
97000
97000(1.0013333)
12t
Divide by 97000
1.1309278=
1.1309278=
\,\,1.0013333^{12t}
1.0013333
12t
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\log\left(1.0013333^{\color{blue}{12t}}\right)
log(1.0013333
12t
)
Take the log of both sides
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\color{blue}{12t}\log\left(1.0013333\right)
12tlog(1.0013333)
Bring exponent to the front
\frac{\log\left(1.1309278\right)}{\log\left(1.0013333\right)}=
log(1.0013333)
log(1.1309278)
=
\,\,\frac{12t\log\left(1.0013333\right)}{\log\left(1.0013333\right)}
log(1.0013333)
12tlog(1.0013333)
Divide both sides by log(1.0013333)
92.3402971=
92.3402971=
\,\,12t
12t
Use calculator
\frac{92.3402971}{12}=
12
92.3402971
=
\,\,\frac{12t}{12}
12
12t
Divide by 12
7.6950248=
7.6950248=
\,\,t
t
Valerie is going to purchase a new car. The car she wants has a list price of $32,495. Valerie is planning to make a
down payment of $1,877. Furthermore, she plans to trade in her current car, which is a 2006 Hyundai Sonata in good
condition. She will finance the rest of the cost by making monthly payments over five years. She can finance the cost
at a rate of 8.64%, compounded monthly. She will also have to pay 8.23% sales tax, a $2,243 vehicle registration fee,
and a $314 documentation fee. If the dealer gives Valerie 87.5% of the trade-in price on her car, listed below,
approximately how much will Valerie pay in total for her new car? (Round all dollar values to the nearest cent, and
consider the trade-in to be a reduction in the amount paid.)
OPEN TOP TO SEE ANSWER!!!!
Answer:
B). $38,821
Step-by-step explanation:
By using several of the known mathematical formulas, and what is given to us at the very bottom (and top) of the answer, we can see that the correct answer is
$38,821
on e2020
The total amount that Valerie will pay for her new car is $35,899.87.
Online Finance CalculatorWe can use an online finance calculator to compute the total amount that Valerie will pay for her new car as follows:
Data and Calculations:Auto Price = $32,495
Loan Term = 60 months (12 x 5)
Interest Rate = 8.64%
Down Payment = $1,877
Trade-in Value = $28,433 ($32,495 x 87.5%)
Sales Tax = 8.23%
Title, Registration and Other Fees = $2,557 ($2,243 + $314)
Calculate
Monthly Pay: = $44.98
Total Loan Amount = $2,185.00
Sale Tax = $334.30
Upfront Payment = $4,768.30
Total of 60 Loan Payments = $2,698.57
Total Loan Interest = $513.57
Total Cost (price, interest, tax, fees) = $35,899.87
Thus, the total amount that Valerie will pay for her new car is $35,899.87.
Learn more about financing a car purchase at https://brainly.com/question/20566521
12. A worker can pack 72 boxes of oranges in 2 hours. At this rate, how many boxes of oranges can she pack
in 8 hours?
Which line is steeper Line A or Line D? EXPLAIN. PLEASE HELP I WILL MARK BRAILIEST!!
Answer:
line A is steeper.
Line A´s slope is 1, while line d´s slope is 2/5
Find the slope of the line that passes through the points (2,6 ) and ( 4 , 12)
Answer:
3
Step-by-step explanation:
HELP ASAP I'M GIVING BRAINLIEST
Answer:
the picture is blurry is it only like that for me?
help asap
show work
i will make u brainlest.
Answer:
1. A
2. D
3. A
4. A
Step-by-step explanation:
Question 1:
Switch sides:
5(5 + 4v) > 105
Divide both sides by 5:
5(5 + 4v) / 5 > 105/5
Simplify:
5 + 4v > 21
Subtract 5 from both sides:
5 + 4v - 5 > 21 - 5
Simplify:
4v > 16
Divide both sides by 4:
4v/4 > 16/4
Simplify:
v>4
Question 2:
Expand:
5m - 3m - 6 < 24 - 3m
Add similar elements:
2m - 6 < 24 - 3m
Add 6 to both sides:
2m - 6 + 6 < 24 - 3m + 6
Simplify:
2m < -3m +30
Add 3m to both sides and simplify:
5m < 30
Divide both sides by 5:
5m/5 < 30/5
Simplify:
m<6
Question 3:
Expand:
18x + 12 ≤ -39 + x
Subtract 12 from both sides and simplify:
18x ≤ x - 51
Subtract x from both sides and simplify:
17x ≤ -51
Divide both sides by 17 and simplify:
x ≤ -3
Question 4:
Add similar elements:
-3m + 5m = 2m
Expand and simplify:
2m ≥ -12m
Add 12m to both sides and simplify:
14m ≥ 0
Divide both sides by 14 and simplify:
m ≥ 0
help plz ive been stuck on this for a while now
Answer:1.20/5
Step-by-step explanation:
Answer:
9/10 or in decimal form 0.9
Step-by-step explanation:
I need help with this riddle rq
the floor of a room is in the shape of a square of side 4.8m. the floor is to be covered with square tiles of perimeter 1.2m. Find the cost of covering the floor if each tile costs rupees 27
Answer:
the room square side is 4.8m
Area of the room is= 4.8=²23.04²m
perimeter of square tiles=4a =1.2
a=1.2/4
or a=o.3m
area of the square tiles =0.3²=0.09m²
numbers of the tiles are rcover floor of the room
23.0.4/0.09=256
each tiles cost Rs 27
the total cost=256*27=6912
the th coalst cover by the th floor is Rs .6912
After all markdowns and discounts, Charlene's prom dress cost her $22 before tax. The dress was on a rack labeled "50% off lowest marked price," and the lowest marked price was already a 75% reduction from the original price. What was the original price of the dress?
Answer: $88.
Step-by-step explanation:
given data:
The cost of the dress for the prom = $22
label of the rack the dresss was on = 50%.
lowest marked price for the dress = 75%.
Solution:
if the lowest marked price of the cloth was already 75%.
and the current cost of the clothe is $22
the original cost of the cloth would be
100% – 75% = 0.25%
= $22 * 100 / 0.25%
= $88.
The original cost of the dress was $88
Answer:
$88
Step-by-step explanation:
50 points plus Brainnlest for right answer
What is the equation?
What should you replace for each given variable?
What should you solve for?
Equations: 60x + 3000 = 3,000, 600 + 150y = 3000
X: 20
Y: 10
You should solve for x & y
Q1: 0, it's already filled up to the max of 3000 pounds.
Q2: 16, 60 times 10 is 600. 3000-600 = 2400. 2400/150 = 16
I hope this helped, ask if you need more help :)
23.79 divided by 3 estimate
Answer:
Answer: 7.93
Estimate: 8
Answer: 7.93, or to the nearest tenths, 7.9
18. The price of a pair of shoes was $65. Then, the price was reduced to $52..
Find the percent decrease in the price of the shoes.
(a) 30%
(b) 13% (c) 5%
(d) 25%
(e) none of these
Please show the work
Answer:
13.
Step-by-step explanation:
65-52=13
FOR THOSE WHO WANT A CHALLENGE owen has a collection of quarters nad nickels worth 8.10. if the nickels were quarters and the quarters were nickels, the value would be 17.70. find the number of each coin.
Answer:
Nickels: 67
quarters: 19
Step-by-step explanation:
It's fairly simple if you know how to use algebra
Square ABCD has vertices A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4). What is the area of square ABCD?
Answer:
that answer is b
Step-by-step explanation:
hope this helps
The area of square ABCD would be; 64 unit sq.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²] units.
Given that Square ABCD has vertices; A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4).
To find the distance from two of the vertices of the square. The distance formula is as follows;
√[(x-p)² + (y-q)²]
A(-4.5, 4), B(3.5, 4),
D = √[(x-p)² + (y-q)²]
D = √(3.5-(-4.5))² +(4 -(4))²
D = √(3.5-(-4.5))² +(4 -(4))²
D = √(64 + 0)
D = 8
Therefore, the side of the square is 8 units.
The area of the square = side x side
= 8 x 8
= 64 unit sq.
Learn more about distance between two points here:
brainly.com/question/16410393
#SPJ2
Which equation represents a line that passes through the 2 points in the table
Answer:
A
Step-by-step explanation:
I took the test
evaluate the expression when a=32 and b=7 a/4 +b
Which equation is NOT written in slope-intercept form?
Y= -9x
2x-5=2y+14
Y=7x+3
Y=-3
Answer:
b
Step-by-step explanation:
:)
What does the graph look like for y=2x-3
Answer:
It will have a y-intercept of -3 and a rise of 2 and a run of 1.
Step-by-step explanation:
We can use a graphing calculator to help us graph for y = 2x - 3.
Attached below is the graph.
Please help!! Will Mark brainliest!!
The last part is function but need help asap
Write an equation that relates the sale price, s, to the original price p.
Answer:
s= px
Step-by-step explanation:
(14+13n+3n^3)+(2+4n+9n^3)
Answer:
=12n3+17n+16
i hope this helps :)
I need help with this worksheet I don't understand from 12-14
Answer:
13.jawaban nya
c.
14.jawaban nya
A.
15.jawaban nya
c.
y = -5x– 1
y = -5x + 7
Answer:
see below
Step-by-step explanation:
y = -5x– 1
y = -5x + 7
Since they are both equal to y, we can set them equal to each other
-5x-1 = -5x+7
Add 5x to each side
-5x-1+5x= -5x+7+5x
-1 = 7
This is not true so there is no solution
The lines are parallel with different y intercepts
A ticket to see your favorite baseball team costs $30.08. That price decreases by $0.42 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 27 games. What is the price of a ticket after the team loses 27 games?
Given :
A ticket to see your favorite baseball team costs $30.08.
That price decreases by $0.42 for every game lost during the regular season.
To Find :
What equation could you use to find the cost C of a ticket after L losses.
Solution :
Let, n is number of match loses and P is the price of ticket.
So, equation is given by :
P = 30.08 - (0.42)n .......1)
Putting n = 27 in above equation,we get :
P = 30.08 - ( 0.42 )( 27 )
P = $18.74
Therefore, the price of a ticket after the team loses 27 games is $18.74 .
Hence, this is the required solution.
The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people? A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion.
Answer: in the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.
Answer:
the denominator in 6/9.75 is incorrect
Step-by-step explanation:
find unit rate then x 24 numerator. 24 the denominator,
the denominator in 6/9.75 is incorrect.
For each set of angle measurements, determine if they would form a triangle (Answer YES or NO for
each)
1. 120, 50, 10
2. 100, 91. 25
3. 90, 60, 30
4. 77, 54, 49
5. 177. 2,1
Answer:
1. yes
2. no
3. yes
4. yes
5. yes
Step-by-step explanation:
All triangles have 3 angle measurements that add up to 180
I did these all mentally so do double check :)
SOME 1 HELP WITH 11 PLZZZZ
Answer: Tiffany got 45 questions right! Hope this helped.
Step-by-step explanation: