to get the money to buy a stereo system, Emily obtained a cash advance of $1500 from her credit card. she borrowed the money on January 10 and repaid it on January 31. if Emily is charged an interest rate of 0.05477% per day, how much did she pay the credit card company on January 31?
Answers
After the expiration of 31 days, Emily has to pay back $ 1526.
This is an exponential growth problem, we have the following information from the question;
Initial amount borrowed (Po) = $1500
Interest rate (r) = 0.05477% per day
Time taken (t) = 31 days
Amount Due (P)= ?
From the relation;
P =Poe^rt
P =\(1500e^{\frac{0.05477}{100}} * 31\)
P =$ 1526
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Related Questions
8.
What is the measure of angle x in the figure?
40°
A 69°
B 71°
C 109°
D 111°
Answers
Answer:
C 109
Step-by-step explanation:
First add all the known angles inside the triangle first to get 109°
Then since all angles in a triangle add to 180°
you take away 109 from 180 so
180-109 which equals 71
Then since all angles on a straight line add up to 180°
you take 71 from 180 so
180-71 = 109
so x = 109°
If Google has 2.54x10^5 hard drives in one building and each hard drive holds 5.8x10^14 bytes of data. How many bytes of data are in the one building?
Answers
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do you want to buy a $30,000 car the company is offering a 5% interest rate for 48 months what will your monthly payments be
Answers
Answer: 656.25
Step-by-step explanation:
30000 times 1.05 (aka 5%) = 31500
31500/48 = 656.26
What is an equation of the line that passes through the points (-4, 8)(−4,8) and (6, 3)(6,3)
Answers
Answer:
y=-1/2x+6
Step-by-step explanation:
slope: -5/10 = -1/2
y=mx+b
y=-1/2x+b
substitute points to find b: 8=-1/2(-4)+b
8=2+b
6=b
Country X (a developed country) currently has a per capita ecological footprint of 3.2 hectares, while country Y (a developing country) has a per capita ecological footprint of 0.6 hectare. If everybody in the world has an ecological footprint the size of the average footprint between these two countries and there are ~7 billion people on Earth, how many total hectares would be needed
Answers
Answer:
Total hectares needed = 13.3 billion hectares of ecological footprint.
Step-by-step explanation:
Country X's per capita ecological footprint = 3.2 hectares
Country Y's per capita ecological footprint = 0.6 hectares
Earth's population = 7 billion
Average footprint between the two nations = 1.9 (3.2 + 0.6) hectares
If everybody in the world (i.e. the earth's population) has an ecological footprint the size of the average footprint between these two countries, i.e. = 1.9 per capita of earth's population,
Therefore, the total hectares of ecological footprint needed will be equal to 7 billion x 1.9
= 13.3 billion hectares of ecological footprint.
How do I solve this problem?
6x + 9 <7x
Answers
Answer:
x > 9
Step-by-step explanation:
6x + 9 < 7x .
-6x -6x <---- Subtract 6x from both sides.
9 < x <----- 7x - 6x = 1x (which can also be written as just x)
Therefore the answer is x > 9.
Solve
|2x+8 > 10
x < [?] or x >[]
![Solve|2x+8 > 10x < [?] or x >[]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/eBV2q82dGDRWIjnlJ4jEsD1V9p8xSHM3.png)
Answers
Answer:
x < - 9 or x > 1
Step-by-step explanation:
inequalities of the type | x | > a have a solution of the form
x < - a or x > a
| 2x + 8 | > 10 is of this type , then
2x + 8 < - 10 or 2x + 8 > 10 ( subtract 8 from both sides of each inequality) )
2x < - 18 or 2x > 2 ( divide both sides of each by 2 )
x < - 9 or x > 1
Use implicit differentiation to find an equation of the tangent line to the curve at the given points. (x2 + y2)2 = 3x2y − y3;
(a) (0, −1),
(b) (−1/2, 1/2)
Answers
Answer:
a.\(y+1=0\)
b.\(2x+4y=1\)
Step-by-step explanation:
We are given that
\((x^2+y^2)^2=3x^2y-y^3\)
a.(0,-1)
Differentiate w.r.t x
\(2(x^2+y^2)(2x+2yy')=6xy+3x^2y'-3y^2y'\).....(1)
Substitute x=0 and y=-1 in equation (1)
\(2(0+1)(-2y')=-3y'\)
\(-4y'+3y'=0\)
\(-y'=0\)
\(y'=0\)
\(m=y'=0\)
Point-slope form:
\(y-y_0=m(x-x_0)\)
Using the formula
\(y+1=0\)
This is required equation of tangent line to the given curve at point (0,-1).
b.(-1/2,1/2)
Substitute the value in equation (1)
\(2(1/4+1/4)(-1+y')=6(-1/2)(1/2)+3(1/4)y'-3(1/4)y'\)
\(2(2/4)(-1+y')=-3/2+3/4y'-3/4y'\)
\(-1+y'=-3/2\)
\(y'=-3/2+1=\frac{-3+2}{2}=-\frac{1}{2}\)
\(m=y'=-1/2\)
Again using point-slope formula
\(y-1/2=-1/2(x+1/2)\)
\(\frac{2y-1}{2}=-\frac{1}{4}(2x+1)\)
\(2y-1=-\frac{1}{2}(2x+1)\)
\(4y-2=-2x-1\)
\(2x+4y=2-1\)
\(2x+4y=1\)
1000ml:300ml to its simplest form
Answers
Bill borrowed $212 from his friend last week. He had given his friend back $89 earlier in the day, but he soon realizes that he needs to borrow another $32 from his friend to take Lindsey to the movies. What will Bill's financial situation (as a signed number) be at the end of the day?
Answers
= 123+32
= $155
He will own $155 at the end of the day
Solve for N. 5/3 = N/12
Answers
Answer:
N = 20
Step-by-step explanation:
5/3 = 1 2/3
20/12 = 1 8/20
They are equivalent
You get the answer by simplifying both sides of the equation, then isolating the variable.
Hope this helps! :))
Suppose that ƒ is a function given as f(x) = 4x² + 5x + 3.
Simplify the expression f(x + h).
f(x + h)
Simplify the difference quotient,
ƒ(x + h) − ƒ(x)
h
=
Submit Question
The derivative of the function at x is the limit of the difference quotient as h approaches zero.
f(x+h)-f(x)
f'(x) =lim
h→0
h
ƒ(x + h) − f(x)
h
=
Answers
Answer:
f(x +h) = 4x² +4h² +8xh +5x +5h +3
(f(x+h) -f(x))/h = 4h +8x +5
f'(x) = 8x +5
Step-by-step explanation:
For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.
F(x+h)Put (x+h) where h is in the function, and simplify:
f(x+h) = 4(x+h)² +5(x+h) +3
= 4(x² +2xh +h²) +5x +5h +3
f(x +h) = 4x² +4h² +8xh +5x +5h +3
Difference quotientThe difference quotient is ...
(f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h
= (4h² +8xh +5h)/h
(f(x+h) -f(x))/h = 4h +8x +5
LimitWhen h=0, the value of this is ...
f'(x) = 4·0 +8x +5
f'(x) = 8x +5
__
Additional comment
Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.
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The following data are the heights (in inches) of 40 students in a statistics class 59; 60; 61; 62; 62; 63; 63; 64; 64; 64; 65; 65; 65; 65; 65; 65; 65; 65; 65; 66; 66; 67; 67; 68; 68; 69; 70; 70; 70; 70; 70; 71; 71; 72; 72; 73; 74; 74; 75; 77 a. Find the five-number summary for the data and construct a box plot. b.Find the IQR
Answers
The five-number summary for data and construct a box plot is: 59, 62, 65, 70, 77
The IQR for the data is 8.
What is median ?
The median is a measure of central tendency in statistics. It is the value separating the higher half from the lower half of a data sample. To find the median of a data set, the data is first arranged in ascending or descending order, and then the middle value is identified. If the data set has an odd number of values, the middle value is the median. If the data set has an even number of values, the median is the average of the two middle values. The median is a useful measure of central tendency when the data contains outliers or extreme values that may affect the mean.
According to the question:
a. The five-number summary consists of the minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum. To find these values:
Minimum: 59
Q1: the median of the lower half of the data, which is the median of the first 20 values (when ordered from smallest to largest): (62 + 62) / 2 = 62
Median (Q2): the middle value when the data is ordered from smallest to largest: (65 + 65) / 2 = 65
Q3: the median of the upper half of the data, which is the median of the last 20 values: (70 + 70) / 2 = 70
Maximum: 77
Therefore, the five-number summary is: 59, 62, 65, 70, 77
To construct a box plot, we can draw a number line and mark the five-number summary points. We then draw a box from Q1 to Q3, with a line at the median (Q2) inside the box. Finally, we draw whiskers from the box to the minimum and maximum values, unless there are outliers that are more than 1.5 times the interquartile range (IQR) away from the box.
b. The interquartile range (IQR) is the difference between the upper and lower quartiles, or Q3 - Q1. From part (a), we have Q1 = 62 and Q3 = 70, so:
IQR = Q3 - Q1 = 70 - 62 = 8
Therefore, the IQR for the data is 8.
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assume a multiple-choice question on an online quiz has 6 answer choices in it, which are shown in random order to each student. in how many ways can this question be displayed? enter the answer as an integer.
Answers
6! is short for 6 factorial and is calculated by multiplying all the integers from 1 to 6. So the answer is 720 ways.
6! = 720
6! is short for 6 factorial and is calculated by multiplying all the integers from 1 to 6. So the answer is 720 ways.
6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
So the answer is 720 ways.
There are 720 ways in which a multiple-choice question on an online quiz with six answer choices can be displayed. This is calculated by multiplying all the integers from 1 to 6, which is referred to as 6 factorial, or 6!. 6! is calculated by multiplying 6 x 5 x 4 x 3 x 2 x 1, which equals 720. This means that there are 720 possible combinations of answer order that can be shown to each student when they take the quiz. With such a wide variety of possible answers, students can focus on the content of the question rather than on the order of the answers, which can help to reduce bias and ensure the validity of the quiz.
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in 5/6÷4/5 the blank is 4/5
Answers
Answer:
25/24=1 1/24
Step-by-step explanation:
Your coffee bar has two kinds of drink One cup of the first one costs 9 grams of juice , 4 grams of coffee and 3 grams of sugar The second one costs 4 grams of juice, 5 grams of coffee and 10 grams of sugar. The budget at most 3.6 kilograms of Julce, 2.0 kilograms of coffee and 3.0 kilograms of sugar every day. You get $1.2 if you sell one cup of the first kind of drink and $0.7 of the second one. aWhat is the maximal profit $ b) How many drinks should be sold to get a maximal profit ? Sales of the first one = cups Sales of the second one = cups
Answers
Answer:
How many drinks should be sold to get a maximal profit? 468
Sales of the first one = 345 cups
Sales of the second one = 123 cups
Step-by-step explanation:
maximize 1.2F + 0.7S
where:
F = first type of drink
S = second type of drink
constraints:
sugar ⇒ 3F + 10S ≤ 3000
juice ⇒ 9F + 4S ≤ 3600
coffee ⇒ 4F + 5S ≤ 2000
using solver the maximum profit is $500.10
and the optimal solution is 345F + 123S
Answer the following:
1.5 x 34
36 ÷ 1.1
497.6 ÷ 24
Not from googl
Answers
Answer:
\(1.5 \times 34 = 51 \\ \\ \frac{36}{11} = 3.27 \\ \\ \frac{497}{24} = 20.708\)
if City A has a population of about 1.6x10^5 people, and the city has a population of about 1.2x10^2, people, what is the difference in magnitude between the two cities?
Answers
The difference between city A and city B is 1.5988 x \(10^{5}\)
what is a number in standard form?The standard form of a number is a way of writing the number in a form that follows certain rules. Any number that can be written as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.
let us rewrite the population of city A in powers of 2
1.6 x \(10^{5}\) we need to move the decimal place 3 steps to the right and add 2 zeros in front of 6 which is 1600 x \(10^{2}\)
So that city A and B have the population in powers of \(10^{2}\)
so A - B = 1600 x \(10^{2}\) - 1.2 x \(10^{2}\) factor out \(10^{2}\)
A - B = \(10^{2}\)( 1600 - 1.2)
A - B = 1598.8 x \(10^{2}\)
so rewriting the difference in standard form we move the decimal place 3 steps to the left so that we have 1.5988 x \(10^{5}\)
In conclusion the difference in population between both cities is 1.5988 x \(10^{5}\)
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William leaves his home at 15:03 and walks for 12 minutes to Euston station.
He spends 4 minutes buying a ticket and then catches the next train to Bletchley.
What time will he arrive at Bletchley?
Train timetable
Euston
14:49 15:18 15:29
14:52
15:32 15:35
Harrow
Watford 15:01
15:30
15:41 15:44 16:11
Hemel
15:39 15:50
15:53
16:20
Tring
15:31
16:00
Q
16:14 16:41
Bletchley 15:47
16:16
16:30
Bedford 15:54 16:23 16:34 16:37 17:04
15:32 15:59
Answers
To find out what time he will arrive at Bletchley, we need to look at the arrival time for the train that departs Euston at 15:32. According to the timetable, this train arrives at Bletchley at 16:16.
William spends 12 minutes walking to Euston station and 4 minutes buying a ticket, so his total journey time is 12 + 4 + 44 = 60 minutes (since there are 60 minutes in an hour). Therefore, he will arrive at Bletchley at 16:16 + 60 minutes = 17:16.
So, William will arrive at Bletchley at 17:16.
*Answer*
15:47
Step-by-step explanation:
He left; 15:03
Walk for; 12mins
Spends extra;4min
So by my side,
I'll sum up those values we're having to find the total time that was spent
12+4= 16mins
So, at that time when he reached at the station it was 15:19 when we add those extra mins
And so I think it'll 15:47
My thought told me so though
Which of the following are solutions to the equation below?
Check all that apply.
X^2+18=-9x
Answers
Answer:
The solution set is {-3, -6}.
Step-by-step explanation:
x^2 + 18 = -9x
x^2 + 9x + 18 = 0
(x + 3)(x + 6) = 0
x = -3, -6.
What is cos 0 when sin 0= 2/3
Answers
Answer:
your answer is √7/3
Step-by-step explanation:
your answer is √7/3
Encuentra la forma de la ecuacion de la recta que pasa por el punto P(-1,5) y que es perpendicular a la recta 2x + 3y - 8= 0
Answers
Responder:
2y-3x = 12
Explicación paso a paso:
La forma estándar de ecuación de una línea se expresa como;
y = mx + c
m es la pendiente
c es la intersección
Primero necesitamos la pendiente de la ecuación conocida;
Dada la ecuación 2x + 3y - 8 = 0
Vuelva a escribir en forma estándar;
2x + 3y = 8
3y = -2x + 8
y = -2x / 3 + 8/3
Por lo tanto, la pendiente de la línea dada es -2/3
Dado que la línea desconocida es perpendicular a la línea dada, el producto de sus pendientes será -1;
mM = -1
M = -1 (-2/3)
M = 3/2
La pendiente de la línea desconocida es 3/2
Obtener la intersección:
Sustituya m = 3/2 y el punto (-1, 5) en la expresión y = mx + cy obtenga c como se muestra;
5 = 3/2 (-1) + c
5 = -3/2 + c
c = 5 + 3/2
c = (10 + 3) / 2
c = 13/2
Obtenga la ecuación requerida;
Dado que y = mx + c
y = 3x / 2 + 13/2
multiplicar por 2;
2y = 3x + 12
2y-3x = 12
De ahí que la forma de la ecuación de la recta que pasa por el punto P (-1,5) y que es perpendicular a la recta 2x + 3y - 8 = 0 es 2y-3x = 12
Answer:
The answer is A, C, E
Step-by-step explanation:
I took the test
10 Ten Atlas batteries were tested to find their average life. The times, in hours, that the batteries lasted were as follows: 10.8, 10.6, 11.4, 8.9, 10.1, 10.6, 9.9, 12.6, 10.5, 11.9. a Find, to the nearest tenth of an hour, the average life of the ten batteries. b Which of the following advertisements is more accurate? i Atlas batteries are guaranteed to last 10 hours. ii Atlas batteries have an average life of over 10 hours.
Answers
a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2
Number of values = 10
Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63
Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.
b) Comparing the two advertisements:
i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum
ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.
Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.
In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.
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Identify whether the variable in the information below is qualitative or quantitative. Government agencies carefully monitor water quality and its effect on wetlands (Reference: Environment Protection Agency Wetland Report EPA 832-R-93-005). Of particular concern is the concentration of nitrogen in water draining from fertilized lands. Too much nitrogen can kill fish and wildlife. Twenty-eight samples of water were taken at random from a lake. The nitrogen concentration (milligrams of nitrogen per liter of water) was determined for each sample.
Answers
Answer: quantitative
Step-by-step explanation:
Measured variables in statistics may be subdivided into quantitative or Qualitative variables depending on whether the variable in question is numeric or non-numeric. Variables which are designed to evaluate on the basis of Number or quantity may be termed as quantitative variables while those which measure attribute and are used for characterization are called Qualitative variables. In the scenario above, the variable is concerned with the determination of concentration of nitrogen draining into water bodies, concentration follows that numeric calculations be Made in other to determine the amount of nitrogen in milligram per Litre in a particular water body in other to prevent its effect on wildlife which could result from excessive concentration in water bodies.
To survey clients at a massage-therapy spa, a researcher alphabetically lists all of the customers the spa had last month. The researcher sends a survey to the 13th person on the list (with the number 13 being randomly chosen), then surveys every 20th customer after that. Which sampling method was used?
cluster sampling
simple random sampling
stratified random sampling
systematic random sampling
Answers
Answer:
Systematic Random Sampling
Step-by-step explanation:
Edge 2021
Answer:
Systematic Random Sampling
Step-by-step explanation:
Took the test.
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 56.6 degrees. Low Temperature (◦F) 40−44 45−49 50−54 55−59 60−64 Frequency 2 7 9 5 2 The mean of the frequency distribution is nothing degrees.
Answers
Answer:
Computed mean = 51.6
Actual mean > computed mean
Step-by-step explanation:
Low temp. - - Freq(f) - - midpoint(x) - - fx
40−44 - - - - - 2 - - - - - - - 42 - - - - - - 84
45−49 - - - - - 7 - - - - - - - 47 - - - - - - 329
50−54 - - - - - 9 - - - - - - - 52 - - - - - - 468
55−59 - - - - - 5 - - - - - - - 57 - - - - - - 285
60−64 - - - - - 2 - - - - - - - 62 - - - - - - 124
Mean (m) = Σ(fx) / Σ(f)
Σ(fx) = 84 + 329 + 468 + 285 + 124 = 1290
Σ(f) = 2 + 7 + 9 + 5 + 2 = 25
Mean (m) = 1290 / 25
Computed mean (m) = 51.6
Actual mean = 56.6
Actual mean > computed mean
56.6 > 51.6
3 + 2x -y =0
-3 -7y = 10x
Answers
Answer:
(-1, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
3 + 2x - y = 0
-3 - 7y = 10x
Step 2: Rewrite systems
3 + 2x - y = 0
Add y to both sides: 3 + 2x = yStep 3: Redefine systems
y = 2x + 3
-3 - 7y = 10x
Step 4: Solve for x
Substitution
Substitute in y: -3 - 7(2x + 3) = 10xDistribute -7: -3 - 14x - 21 = 10xCombine like terms: -14x - 24 = 10xAdd 14x on both sides: -24 = 24xDivide 24 on both sides: -1 = xRewrite: x = -1Step 5: Solve for y
Define original equation: -3 - 7y = 10xSubstitute in x: -3 - 7y = 10(-1)Multiply: -3 - 7y = -10Add 3 to both sides: -7y = -7Divide -7 on both sides: y = 1Step 6: Graph
Check the solution set.
why is it when you take a shower and you come out clean, how does the towel become dirty? This some real mathematics
Answers
okay. so, when you wash your hair, there is no way to get 100% of the shampoo/conditioner out of your hair, so the excess it rubbed onto the towel. Say you have no hair. The shower isn't germ-free, so even if you feel clean, the towel and yourself is still a harbor of germs, good and bad.
Help me please I’m confused
Answers
Answer:
Its c
Step-by-step explanation:
What is the value of 3/8 dividend by 9/10
A) 3
B 5/12
C 27/80
D 2/3
Answers
Answer:
B 5/12 (im stupi d)
Step-by-step explanation:
(3/8)/(9/10) = (3/8) * (10/9) = 5/12
Answer:
B) \(\frac{5}{12}\)
Step-by-step explanation:
Apply the fractions rule a/b ÷c/b = a/b × d/c
= 3/8 x 10/9
Multiply fractions a/b x c/d = \(\frac{axc}{b x d}\)
Multiply the numbers: 3 x 10 = 30
= 3/10 8 x 9
Multiply the numbers: 8 x 9 = 72
= 30/72
Cancel the common factor: 6
5/12