Answer:
a) 2400m on the 20th day for Charlie.
1) 728.41m of 20th day for Daniella.
Didn't find n, sorry.
Charlie ran 2400m on day 20 of his fitness program and Daniella ran 728m on day 20 of her fitness program.
It is given that Charlie and Daniella on day one both ran 500m on each subsequent day.
Charlie ran 100m more than the previous day.
Daniella increased her distance by 2% of the distance run on the previous day.
It is required to calculate how far Charlie and Daniella ran on day 20 and the value of n.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Charlie ran 500m on the first day:
[tex]\rm a_1 = 500[/tex]
[tex]\rm a_2 =600[/tex] ( because charlie ran 100m more than the previous day)
It is an arithmetic progression in which the difference between two consecutive terms:
d = 600 - 500 ⇒ 100
and [tex]\rm a_n = a+d(n-1)[/tex]
[tex]\rm a_2_0 = 500+100(20-1)\\\\\rm a_2_0 = 2400m[/tex]( ∵ n = 20 )
Daniella ran 500m on the first day:
[tex]\rm b_1 = 500[/tex]
[tex]\rm b_2 = 500+ 500\times2 \%[/tex] (because Daniella increased her distance by 2% of the distance run on the previous day)
We can write [tex]\rm n^t^h[/tex] terms:
[tex]\rm b_n= 500(1+2\%)^n^-^1[/tex]
[tex]\rm b_2_0= 500(1+2\%)^2^0^-^1[/tex]
[tex]\rm b_2_0= 500(1+0.02)^1^9\\\\\rm b_2_0 = 500\times 1.02^1^9\\\\\rm b_2_0 = 500\times1.456 \Rightarrow 728.40 \approx 728 m[/tex]
[tex]\rm b_n > a_n[/tex] (given in the question)
[tex]\rm500(1+2\%)^n^-^1 > 500+100(n-1) \ \ or \\\\\rm500(1+2\%)^n^-^1 > 100n+400[/tex]
The above expression is not true for all the values of 'n' ie. 'n' can not be determined.
Thus, Charlie ran 2400m on day 20 of his fitness program and Daniella ran 728m on day 20 of her fitness programme.
Learn more about the sequence here:
brainly.com/question/21961097
If your heart rate is 155 beats per minute during strenuous exercise, what is the time per beat in units of seconds
Answer:
5 beats per second
Step-by-step explanation:
statistic operation depends
Mr. D math
Find the distance between (12,5) and (3,4) approximated to the 1 decimal place.
select the correct response
0.2
9.3
9.1
9.4
The distance between (12,5) and (3,4) approximated to the 1 decimal place is 9.1.
To find the distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], we will use the distance formula:
Distance = [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]
In this case, [tex]\((x_1, y_1) = (12, 5)\)[/tex] and [tex]\((x_2, y_2) = (3, 4)\)[/tex].
Substituting these values:
Distance = [tex]\(\sqrt{(3 - 12)^2 + (4 - 5)^2}\)[/tex]
Distance = [tex]\(\sqrt{(-9)^2 + (-1)^2}\)[/tex]
Distance = [tex]\(\sqrt{81 + 1}\)[/tex]
Distance = [tex]\(\sqrt{82}\)[/tex]
Now, approximate value of [tex]\(\sqrt{82}\)[/tex] to 1 decimal place:
[tex]\(\sqrt{82} \approx 9.1\)[/tex]
So, the correct response is 9.1.
Learn more about distance here:
https://brainly.com/question/32846365
#SPJ3
1.8.3 practice - functions
3. Water freezes at 0 Celsius and 32 Fahrenheit. Water boils at 100 Celsius and 212 Fahrenheit.
Answer:
A. C(F) = 5/9F -(17 7/9)
B. slope: 5/9
C. y-intercept: -17 7/9
Step-by-step explanation:
A.The question tells us that the independent variable is the temperature in degrees Fahrenheit. Then the given ordered pairs are ...
(F, C) = (32, 0) and (212, 100)
The slope can be found from the slope formula:
m = (y2 -y1) / (x2 -x1)
m = (100 -0)/(212 -32) = 100/180 = 5/9
The y-intercept can be found from the slope-intercept equation for a line:
y = mx +b
b = y -mx
Using the first point, we have ...
b = 0 -(5/9)(32) = -160/9 = -17 7/9
Using the found values for m and b, the slope-intercept equation can be written ...
C(F) = 5/9F -(17 7/9)
__
B.The slope was found in part A to be 5/9. This means each degree Fahrenheit corresponds to 5/9 of a degree Celsius.
__
C.The y-intercept was found in part A to be -17 7/9. This means 0 °F corresponds to -17 7/9 °C.
At a sale this week, a table is being sold for $119. This is a 65% discount from the original price.
What is the original price?
Answer:
77,35
Step-by-step explanation:
PLEASE HELP ⁉️ POR FAVOR SOMEONE IM DESPERATE tHIS IS DUE IN THE mORiNG!
Answer:
Just in case you want me to answer all the questions, I will
Step-by-step explanation:
Question 1): answer is 25
Question 2): answer is 24
Question 3): answer is 100%
24/25 = 96/100
Box Question 1): 21/25 = 84/100
Box Question 2): 15/20 = 75/100
Box Question 3): 47/50 = 94/100
Box Question 4): 28/30 = 93.3/100
Box Question 5): 19/45 = 42.2/100
Box Question 6): 3/4 = 75/100
If a digit is underlined, put a line ONLY over the underlined digit, it is repeating
I'm not completely sure if this is correct, but I really think it is..
I hope this helps!
Simplify the following expression.
(33x + 53y) + (44x - 20y)
A.
86x + 33y
B.
77x + 73y
C.
77x + 33y
D.
86x + 73y
Answer:
77x+33y
Step-by-step explanation:
Eliminate redundant parentheses
(33x+53y)+(44x−20y)
33+53+44−20
Combine like terms
33x+53y+44x−20y
77+53−20
Combine like terms
77x+53y−20y
77+33
Solution:
77+33
Answer: The answer would be D.
Step-by-step explanation:
All you have to do is combine like terms.
Pretend that the parenthesis aren't there. 13x + 9y + 38x + 33y.
When you combine like terms, you add or subtract the terms that have the same variable attached.
13x + 38x = 51x.
9y + 33y = 42y
51x + 42y.
I hope I helped.
Brainliest would be appreciated.
A Chevrolet Sonic Hatchback costs $14,845.00. With a 15% down payment, you can have an amortized loan for 6 years at a rate of 4.5%.
A) What will the monthly payment be?
B) How much will the car cost, in total?
C) How much money will be paid in interest?
Using simple interest, it is found that:
a) The monthly payment will be of $222.57.
b) In total, the car will cost $18,251.9275.
c) $16,025.1775 will be paid in interest.
The amount of money accrued after t years, using simple interest, with an initial value of P and a decimal rate of r is given by:
[tex]A(t) = P(1 + rt)[/tex]
In this problem:
Total cost of $14,845.00, with a down payment of 15%, hence the initial value that will accrue interest is [tex]P = 0.85(14845) = 12618.25[/tex].Loan for 6 years, hence [tex]t = 6[/tex]Rate of 4.5%, hence [tex]r = 0.045[/tex].Item a:
The amount of money accrued will be of:
[tex]A(6) = 12618.25[1 + 0.045(6)] = 16025.1775 [/tex]
Payment over 6 x 12 = 72 months, hence, the monthly payment will be of:
[tex]m = \frac{16025.1775}{72} = 222.57[/tex]
The monthly payment will be of $222.57.
Item b:
The total cost is composed by:
Down payment of 15%, out of the amount of $14,845.00.Interest of $16,025.1775.Hence:
[tex]T = 0.15(14845) + 16025.1775 = 18251.9275[tex]
In total, the car will cost $18,251.9275.
Item c:
As found in item a, $16,025.1775 will be paid in interest.
A similar problem is given at https://brainly.com/question/13176347
the sum of 2 times a number and 5 is equal to 7
Answer:
n = 1
Step-by-step explanation:
"The sum of" is addition
"2 times a number" is 2n
"and 5" is + 5
equals 7 is =7
2n + 5 = 7
- 5 - 5
2n = 2
2n/2 = 2/2
n = 1
2/3 of a cup of batter can make 5/6 of a batch of pancakes. How many cups of water are needed to make one batch of pancakes?
Answer:
1 11/12 cups of water
I need answers to all of these and explanation as well. Thank you.
4) d
let's firstly convert the mixed fractions to improper fractions, and then proceed
[tex]\stackrel{mixed}{4\frac{3}{8}}\implies \cfrac{4\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{35}{8}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill\\\\ -4\frac{3}{8}-\left( -1\frac{1}{4} \right)\implies -\cfrac{35}{8}-\left( -\cfrac{5}{4} \right)\implies -\cfrac{35}{8}+\cfrac{5}{4}\implies \cfrac{-(1)(35)~~ +~~(2)(5)}{\underset{\textit{using this as LCD}}{8}}[/tex]
[tex]\cfrac{-35+10}{8}\implies -\cfrac{25}{8}\implies -3\frac{1}{8}[/tex]
5)
hmmm we can pick any of those %, hmmm let's use 18%, keeping in mind that the whole amount is really the 100% and that's say "x", hmmm we know the 18% of "x" is $5.87.
[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 18&5.87\\ 100&x \end{array}\implies \cfrac{18}{100}=\cfrac{5.87}{x}\implies \cfrac{9}{50}=\cfrac{5.87}{x} \\\\\\ 9x = 293.5\implies x = \cfrac{293.5}{9}\implies x = 32.6\overline{1}\qquad \textit{about 32 bucks and 61 cents}[/tex]
ASAP please!! What is the best approximation for one of the relative minimums of the
polynomial function graphed below?
Answer: C
Step-by-step explanation: Brainliest please
Circle A’s circumference is 3 times the value of Circle B’s Area. Find Circle B’a radius.
Circle A’s diameter is 27.
Formulas = A=(pi)r^2 and C=(2pi)r^2
Leave it in terms of pi if you do get pi left.
(Pi) = pi symbol (Brainly won’t let me use it.)
Thank you if you do answer it, I will give Brainlyist and a lot of pints!!
(side note: your formula C = 2πr^2 is incorrect, it should be C = 2πr)
Answer:
r = 9
Step-by-step explanation:
First let's find the circumference of Circle A. To use the formula we need radius. Since we have a diameter just divide by 2 to get radius. 27 / 2 = 13.5
Now plug that into C = 2πr: 2π*(13.5) = 27π
The question says that the area of circle B is 3x this value, so Circle B's area must be: 27π * 3 = 81π
Now plug that into A = πr^2 and solve for r:
[tex]81\pi=\pi r^{2}\\81=r^{2}\\\sqrt{81}=r\\9=r[/tex]
(edited to correct a brain fart)
Write each decimal as a percent. 1. 0.74
4. 0.617 =
Write each percent as a decimal. 6. 68%
9. 175% =
2. 0.15 =
5. 0.834 =
7. 34% =
10. 200% =
3. 0.09 =
8. 58.5% =
Answer:
1. 0.74 = 74%
4. 0.617 = 61.7
6. 68% = 0.68
9. 175% = 1.75
2. 0.15 = 15%
5. 0.834 = 83.4%
7. 34% = 0.34
10. 200% = 2.00
3. 0.09 = 9%
8. 58.5% = 0.585
Step-by-step explanation:
In the board game Clue, the object of the game is to determine the which character is the murderer, which weapon was used and in which room the murder took place (e.g., “Colonel Mustard with the Candlestick in the Library”). There are 6 different characters, 6 weapons, and 9 rooms. How many different outcomes are possible?
Answer: 324 different outcomes
Step-by-step explanation: Multiply all of the possibilities together to get the total amount of outcomes. 6 * 6 * 9 = 324
Would appreciate a brainly <3
Se mezcla café del tipo A de 6 €/kg con café del tipo B de 4,5 €/kg para obtener una mezcla de 60 kg a 5 €/kg. ¿Cuántos kilogramos de café debemos tomar de cada tipo?
PLZ HELP ASAP IS FOR IMPORTANT ASSIGNMENT Find the function that represents the relationship shown in the
table below and explain how you determined the equation by
showing your solution and adding statements to explain your
steps.
X
0
1
2
3
4
ON
у
-5
9
16
23
N
Edit
View
Insert
Format
Tools
Table
Answer:
Step-by-step explanation:
a student required to 40% marks to pass in exam he got 190 marks and fail with 10 marks. find total marks?
Answer:
500
Step-by-step explanation:
40%=190+10
40%=200
10%=50
100%=500
cual de estas fracciones es mayor que 2/5?explica como lo has averiguado
Answer:
33333
Step-by-step explanation:
Write in order least to greatest!
Hello! :)
√99=9.95...
π²=9.9
9.8888...
So I think the numbers should be written like this:
9.8888, √99, π²
Hope it helps!
~Just a determined gal
[tex]MysteriousNature[/tex]
Interest and fees
the total cost of a credit purchase.
A. maintain
O B. decrease
C. do not affect
D. increase
Answer:
D. increase
Step-by-step explanation
Intrest and fees are used to make process, and It increases the cost. You have to pay it back in the end.
Answer:
B
Step-by-step explanation:
Normally a normal card purchase won't affect the credit but since your using your credit's to purchase I think it will decrease it, it also depends how many times you use your card, cuz banks sure do be checking. So I hope I helped!
A store sells 6 apples for $2.82. At that rate, how much would 1 apple cost?
Answer:
$0.46
Step-by-step explanation:
6 apples = $2.82
1 apple = 2.82 / 6
= $0.46
14 - (-10)
Perform the indicated operation
Answer:
14 - (-10) = 24Step-by-step explanation: 14 - (-10) (-10)= 10 14 + 10 = 4
Solve | x+4| -5=6
A. x= -7 and = -15
B = 7 and = -7
C. x = 7 and = -15
D. x = -7 and = 15
Answer:
b
Step-by-step explanation:
I would really appreciate help with this. I will give brainliest
Can any of you tell me the types of frequencies in math and explain how to find each one? It would be really really helpful if you answered:)
Answer:
Grouped Frequenct Distribution
UnGrouped Frequency Distribution
Step-by-step explanation:
Figures or numbers collected for some definite purpose is called data. Frequency is the value in numbers that shows how often a particular item occurs in the given data set. There are two types of frequency table - Grouped Frequency Distribution and Ungrouped Frequency Distribution. Data can be shown using graphs like histograms, bar graphs, frequency polygons, and so on.Lauren received a box of 12 identical-looking truffles for Valentine's Day. 3/4 of them have a fruit filling and 2/3 of the remaining are coffe-flavored. 1/3 of the fruit-filled ones have raspberry filling and 1/6 of the remaining fruit-filled truffles have strawberry flavor. What is the probability that she will draw a flavor she doesn't reconize.
A. 1/3
B. 2/5
C. 1/2
D. 3/4
C. 1/2
9 of the truffles are fruit-filled. 2 are coffee-flavored. one is unaccounted for.
Of the 9 fruit-filled ones, 3 are raspberry and one is strawberry. 5 are unaccounted for.
Putting together the ones we don't know, we get 6 unknown ones. 6/12, or 1/2, is the answer.
I REALLY NEED HELP CAN SOMEBODY PLZZZ HELP MEEEE
A research question is a declarative statement which can be tested to determine the probability of it being true or false.
Answer:
Step-by-step explanation:
Yes the answer is true.
A declarative statement is one that
makes a statementprovides a factoffers an explanationconveys informationThat being said, it can make a statement that is testable. It is testable, it can be assigned a probability.
1. Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In each case, explain how you know. (1 point each)
Answer:
(a) a function, but not one-to-one
Step-by-step explanation:
The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.
The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.
__
Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).
The graph is a function, but not one-to-one.
Domain:
Range:
HELP I BEG
Simplify the linear expression
-5/8a+2/3-1/4a-5/6
Enter your answer as simplified fractions in the boxes.
Answer:
[tex]\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}[/tex]
Step-by-step explanation:
This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of [tex]-\frac{1}{4} a[/tex] would be 2, and in the case of [tex]\frac{2}{3}[/tex] the value would be 2. This would result in the equation: [tex]-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}[/tex]. Then simply combine like terms to get your final answer.
