Rounded to the nearest dollar, the average daily balance of the credit card for the August 1 through August 31 billing period is $74.
To find the average daily balance of the credit card for the August 1 through August 31 billing period, we need to calculate the sum of the daily balances and divide it by the number of days in the billing period.
Let's calculate the daily balances for each day:
Day 1: Closing Balance = $850
Day 8: Closing Balance = $300
Day 16: Closing Balance = $500
Day 24: Closing Balance = $650
To calculate the daily balances, we need to consider the activities that occurred on each day.
On Day 1, there was no activity recorded, so the closing balance remains at $850.
On Day 8, a payment of $550 was made. Therefore, the closing balance is $850 - $550 = $300.
On Day 16, a purchase of $200 was made. Therefore, the closing balance is $300 + $200 = $500.
On Day 24, a purchase of $150 was made and an adjustment of $4 was applied. Therefore, the closing balance is $500 + $150 - $4 = $650.
Now, let's calculate the average daily balance:
Sum of daily balances = $850 + $300 + $500 + $650 = $2300
Number of days in the billing period = 31
Average daily balance = Sum of daily balances / Number of days = $2300 / 31 ≈ $74.19
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on a blueprint, the bedroom wall is 6 in long. the scale factor is 1 to 24. what is the length of the actual wall?
A. 144 inches
B. 4 inches
C. 24 inches
D. 6 inches
Answer:
A
Hope This Helps! :)
Answer:
B. 4 inches
Step-by-step explanation:
(24)(1) / 6 = 4
ABCD is a parallelogram.
The coordinates of point A are (2,5)
x = (4,0) and y = (5,12)
Find the coordinates of points B and C.
Answer:
B(6, 5), C(1, -7)
Step-by-step explanation:
A(2, 5)
From A to B, there is translation x, (4, 0).
Add 4 to A's x-coordinate, and add 0 to A's y-coordinate.
B(2 + 4, 5 + 0) = B(6, 5)
From C to B there is the translation y, (5, 12).
Since we are going from B to C, we undo translation y.
The translation from B to C is (-5, -12).
C(6 - 5, 5 - 12) = C(1, -7)
Solve the following quadratic inequality x^2+x-6>0
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
Pls help with this question pictured below.
The implicit derivative is given as follows:
dx/dt(x = 4) = 1/12.
How to obtain the implicit derivative?The function in this problem is given as follows:
y = 3x² + 1.
The implicit derivative, relative to the variable t, is given as follows:
dy/dt = 6x dx/dt.
(the derivative of the constant 1 is of zero).
The parameters for this problem are given as follows:
x = 4, dy/dt = 2.
Hence the derivative is obtained as follows:
2 = 6(4) dx/dt
dx/dt = 2/24
dx/dt = 1/12.
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For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 120 and a standard deviation of 8. What is the probability that a randomly
selected male's systolic blood pressure will be less than 108, to the nearest
thousandth?
Answer:
0.89
Step-by-step explanation:
The probability that a randomly selected male's systolic blood pressure will be less than 108 is 0.25.
What is Probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Here, mean = 110, standard deviation = 8
P = \(\frac{x_{mean}-x }{SD}\)
P = (110 - 108)/8
P = 2/8 = 0.25
P(Z<0.25) = 0.5 - 0.25 = 0.25
Thus, The probability that a randomly selected male's systolic blood pressure will be less than 108 is 0.25.
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anyone?............
\( \frac{132 }{2?} = 66\)
I will give brainliest The equations of four lines are given. Identify which lines are parallel.
Line 1: y=1/2x−6
Line 2: x−2y=−1
Line 3: y=4x+6
Line 4: y+3=1/4(x−6)
The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the measurements for QAP is 20° and QBP is 35°, how far above sea level is peak P ? Express your answer to the nearest foot.
Height above sea level:
Answer:
6610
Step-by-step explanation:
We have tan(X) = opposite/ adjacent
tan(QBP) = PQ/BQ
tan(35) = PQ/BQ ---eq(1)
tan(QAP) = PQ/AQ
tan(20) = \(\frac{PQ}{AB +BQ}\)
\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)
230*tan(20) + PQ*tan(20)*tan(35) = PQ
⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)
⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]
\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)
\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)
PQ = 110.4
≈110
Height above sea level = 6500 + PQ
6500 + 110
= 6610
Divide a 8 foot sandwich into pieces that are 3/4 of a foot long. How many 3/4 foot pieces are there?
Answer:
6
Step-by-step explanation:
3/4*8=6
Solve 2-3 cos x=5+3 cosx for 0° ≤ 180°
The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
1. Start with the given equation: 2-3cos(x) = 5+3cos(x).
2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.
3. Combine like terms: 2-6cos(x) = 5.
4. Subtract 2 from both sides: -6cos(x) = 3.
5. Divide both sides by -6: cos(x) = -1/2.
6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.
7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.
8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.
9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
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using the line of best fit
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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A. Circle
B. Kite
C. Rectangle
D. Trapezoid
ANY ONE PLZZ THIS IS DUE IN TWO HOURS!!!!!!!!
Answer:
it is option A bro
follow me if it is helpful
The radius of a circle is 20 in. Find its circumference in terms of π
Answer:
40π inches
Step-by-step explanation:
What is the formula for the circumference of a circle?
The formula for the circumference of a circle is:
C = 2πr(where C is the circumference and r is the radius)
If the radius of the circle is 20 inches, then its circumference in terms of π would be:
C = 2π × 20 = 40π inchesTherefore, the circumference of a circle when the radius is 20in is 40π inches.
Answer:
C = 40π
Step-by-step explanation:
To calculate the circumference of a circle, we will use the formula
C = 2πr
And we're asked to find C in terms of pi.
So all I need to do is plug in 20 for the radius, and then multiply.
I plug in 20 for the radius, r: C = 2π × 20
Multiply: C = 40π
Therefore, C = 40π.
g in an examination, a candidate has to score a minimum of 24 marks in order to clear the exam. the maximum that he can score is 40 marks. identify the valid equivalence values if the student clears the exam.
An examination, a candidate has to score a minimum of 24 marks in order to clear the exam. the maximum that he can score is 40 marks. The valid equivalence values of the student clears the exam is 29, 30, 31.
An examination, a candidate has to score a minimum of 24 marks in order to clear the exam. the maximum that he can score is 40 marks.
The class will be as follows:
Class i: values<24 => invalid class
Class ii: 24 to 40 => valid class
Class iii: values> 40 => invalid class
We need to identify valid equivalence values. Valid equivalence values will be there in a valid equivalence class. All the values should be in class ii.
Therefore, the answer is 29, 30, 31.
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this is a unit test right answers only pls
Answer:
d
Step-by-step explanation:
took da test
e
B
0
14. The table shows the number of inches of
rain over five months. What would be an
appropriate display of the data? Explain.
(Lesson 2)
Month
Number
of Inches
of Rain
Jan. Feb. Mar.
1.5
2.2
3.6
Apr.
5.3
May
4.8
The graph of the given function is attached.
Given is a function for the rainfall in 5 months in inches.
We need to display the data,
So, as we can see that the data is not showing any proportion or pattern,
So, it can be displayed as a line chart.
Hence the chart is attached for the function.
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A school sold tickets to a musical. The school received $6.50 per ticket sold.
Select the ordered pairs that represent possible combinations of the number of tickets sold and the corresponding total amount of money the school would have received from selling the tickets, if this relatioship was graphed on a Coordinate Plane.
Select all that apply.
A.) 0, 0.00
B.) 2, 13.00
C.) 4, 24.00
D.) 10, 65.00
E.) 12, 68.00
No links plz
Answer:
A B D
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
hope this helps :))))
\(f(a) = {a}^{ \frac{1}{2} } + 3a + {a}^{2} \)
\(f(x) = \frac{9}{17} {x}^{83} + \sqrt{54 {x}^{97} } + \pi\)
\(g(x) = (x - \frac{2}{3} )(x + \frac{3}{4} )\)
which one of the following is a polynomial and which is not, and why?
Step-by-step explanation:
g(x) is a polynomial. It doesn't contain a rational degree with the variable as the denominator, negative eexponents, or irrational coeffecienfs, and no rational exponents as a degree.
f(x) and f(a) isn't a polynomial. It contain a irrational coeffceint like pi. So it not a polynomial. And they both have a rational exponet as a degree
Someone Please help me
Answer:
B. $104.95
Step-by-step explanation:
$160.45-$55.50=$104.95
Express as a trinomial (x-10)(x+2)
The required trinomial expression is given as x² -8x - 20.
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial , binomial and trinomial etc. ax+b is a polynomial.
here,
A trinomial is consist of 3 terms in the expression,
Now, simplify the given expression,
(x-10)(x+2) = x² -10x + 2x - 20
= x² - 8x - 20
Thus, the required trinomial expression is given as x² -8x - 20.
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what does 2(-3+5) + 7× (-4) + (-1) equal?
Answer:
-25
Step-by-step explanation:
= 2*(2) - 28 - 1
= 4 - 29
= -25
Given:-
\( \tt \: 2(- 3+5 ) + 7× (-4) + (-1) = ?\)\( \: \)
Solution:-
\( \tt \: 2(- 3+5 ) + 7× (-4) + (-1) \)\( \: \)
\( \tt \: 2( 2 ) - 28 - 1\)\( \: \)
\( \tt \: 4 - 29\)\( \: \)
\( \boxed{ \: \tt \pink{-25 }\: \: } \)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
Solve for y: -6x + 3y = 12
Answer:
x=y-4/2
Step-by-step explanation:
just use the app cymath it helps alot
solve the equation and give the verified answer 9 Y - 5 (2 Y - 3) is equals to 1 - 2 y
Answer:
y= -14
Step-by-step explanation:
First, distribute to get 9y-10y+15=1-2y
Then, combine like terms: -y+15=1-2y
Then, bring the 2y over and the 15 over: y= -14
Hope this helped!
Solve the two simultaneous equations.
You must show all your working.
3t+2p=15.5
5t+4p=28.5
Answer:
Given equations are,
5x+2y=−2 (1)
3x−5y=17.4 (2)
Multiply equation (1) by 5 and equation (2) by 2, we get,
5(5x+2y)=5×−2
∴25x+10y=−10 (3)
2(3x−5y)=2×17.4
∴6x−10y=34.8 (4)
Adding equations (3) and (4), we get,
31x=24.8
∴x=
31
24.8
Put this value in equation (1), we get,
5(
31
24.8
)+2y=−2
∴
31
124
+2y=−2
∴2y=−2−
31
124
∴2y=
31
−186
∴y=
31
−93
Step-by-step explanation:
A grandmother left her estate to her four grandchildren. She left 1/2 to Jill, 1/3 to Jack, 1/6 to Hansel and the remainder was left to Gretel. What frachon of the estate did Gretel receive?
First, add all the fractions:
1/2 + 1/3 + 1/6 = 3/6 + 2/6 + 1/6 = 6/6 = 1
subtract the result to 1
1-1 = 0
Gretel received 0 (zero)
Solve the simultaneous equations
y = 3 – 2x
x2 + y2 = 18
Show clear algebraic working.
(
x
,
y
)
=
(
3
5
,
4
1
5
)
or
(
x
,
y
)
=
(
−
3
,
−
3
)
Explanation:
Given
[1]
XXX
y
−
2
x
=
3
[2]
XXX
x
2
+
y
2
=
18
Re-writing [1]
[3]
XXX
y
=
2
x
+
3
Substituting
(
2
x
+
3
)
from [3] for
y
in [2]
[4]
XXX
x
2
+
(
2
x
+
3
)
2
=
18
Simplifying
[5]
XXX
x
2
+
4
x
2
+
12
x
+
9
=
18
[6]
XXX
5
x
2
+
12
x
−
9
=
0
Factoring
[7]
XXX
(
5
x
−
3
)
(
x
+
3
)
=
0
⇒
x
=
3
5
or
x
=
−
3
case 1:
x
=
3
5
Substituting
3
5
for
x
in [3]
XXX
y
=
2
(
3
5
)
+
3
=
4
1
5
case 2:
x
=
−
3
Substituting
(
−
3
)
for
x
in [3]
XXX
y
=
2
(
−
3
)
+
3
=
−
3
The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and the standard deviation is 8 months. Find the probability that
sample of 29 smoke detectors will have a mean lifetime
between 57 and 64 months. Assume that the sample is taken from a large population and the correction factor can be ignored.
Round the final answer to at least four decimal places and intermediate z-value calculations to two decimal places.
The required probability is 0.8945 that a sample of 29 smoke detectors will have a mean lifetime between 57 and 64 months.
To find the probability that a sample mean is between 57 and 64 months, we need to find the standard deviation of the sample mean, which is given by the standard deviation of the population divided by the square root of the sample size.
The standard deviation of the sample mean = standard deviation of the population / square root of sample size = 8 / √(29) = 8 / 5.385 = 1.48
Next, we need to standardize the interval of 57-64 months by subtracting the mean and dividing it by the standard deviation of the sample mean.
z₁ = (57 - 60) / 1.48 = -2.03
z₂ = (64 - 60) / 1.48 = 1.35
Finally, we can use a standard normal table to find the area under the normal curve between z₁ and z₂, which gives us the probability of a sample mean falling in the interval (57, 64).
P(57 < X < 64) = P(-2.03 < Z < 1.35) = 0.9790 - 0.0845 = 0.8945
Therefore, the final answer is 0.8945, rounded to four decimal places.
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Maine has a cold climate in the winter. What is the probability of the temperature falling below 32 Fahrenheit in Maine during the month of January.
The probability is closer to one than zero.
Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes, i.e {(H, H), (H, T), (T, H), (T, T)}.
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I NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The answers are:
27. P(6) = 0.2 , 28. P(even number) = 0.6 , 29. P(6) = 1/10 , 30. P(even number) = 5/10 = 0.5
The experimental probability of getting a 6 is 0.2, because 2 out of 50 displays were 6s.
The experimental probability of getting an even number is 0.6, because 30 out of 50 displays were even numbers.
The theoretical probability of getting a 6 is 1/10, because there is 1 chance out of 10 that the calculator will display a 6.
The theoretical probability of getting an even number is 5/10, because there are 5 chances out of 10 that the calculator will display an even number.
As you can see, the experimental probabilities are close to the theoretical probabilities. This is because the calculator was programmed to randomly display a digit from 0 to 9, so the results should be evenly distributed. However, there is always some chance of variation, so the experimental probabilities may not be exactly equal to the theoretical probabilities.
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2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 in the index form
Answer:
\(2^{8}\)
Step-by-step explanation:
There are eight 2's so that equals \(2^{8}\)
Hope this helps! :)
Please mark this answer as brainiest
It would help! :)
Thanks!
Answer:
2^8
Step-by-step explanation: