Credit Card StatementCalculate the newPrevious Balance $125.00 balance on thisFinance Charge $16.00 account after theseNew Purchases$120.00 charges andPayments $(150.00)payments areCredits$0.00 applied.A $161.00B. $111.00C. $171.00D. $411.00
This is a credit balance problem. Listed the previous balance, finance charge, new purchases, payments, and credits, the new balance can be calculated by summing up the previous balance, finance charge, and new purchases then subtracted to the sum of payments and credits. Applying this calculation, the new balance for the credit card is
\(\begin{gathered} Balance=\$125.00+\$16.00+\$120.00-(\$150.00-\$0.00) \\ \text{Balance}=\$111.00 \end{gathered}\)Answer: B. $111.00
find the radius of convergence r and interval of convergence i of the series. [infinity] 9n(x 10)n n n = 1
The radius of convergence (r) of the series is 10, and the interval of convergence (i) is (-10, 10).
To find the radius of convergence, we use the ratio test. Let's denote the series as Σ 9n(x - 10)n, where n ranges from 1 to infinity. Applying the ratio test, we have:
lim┬(n→∞)|9(n+1)(x-10)^(n+1)|/|9n(x-10)^n|
Simplifying the expression, we get:
lim┬(n→∞)|9(x-10)||n+1|/|n|
Since we want the limit to exist, we take the absolute value of x - 10:
lim┬(n→∞)|x-10||n+1|/|n|
This limit exists if |x - 10| < 1, which means the radius of convergence is 1. To find the interval of convergence, we need to determine the values of x that make the series converge. Considering the interval (-10, 10) will cover all the possible values of x that satisfy |x - 10| < 1, we conclude that the interval of convergence is (-10, 10).
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write 81 as a repeated multiplication of (-3)s. Then write it as a power
Answer:
(-3) x (-3) x (-3) x (-3)
(-3)²
A boat travels with velocity vector (25, 25 StartRoot 3 EndRoot). What is the directional bearing of the boat? N 30° E E 30° S E 30° N N 30° W
Answer:
The directional bearing of the boat is N 30º E
Step-by-step explanation:
Let \(\vec v = (25, 25\sqrt{3})\), where \(\vec v\) is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat (\(\theta\)), measured in sexagesimal degrees, is determined by trigonometrical means:
\(\theta = \tan^{-1}\frac{v_{y}}{v_{x}}\) (1)
If we know that \(v_{x} = 25\) and \(v_{y} = 25\sqrt{3}\), then the directional bearing of the boat is:
\(\theta = \tan^{-1} \sqrt{3}\)
\(\theta = 60^{\circ}\)
In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).
Answer:
A) N 30 E
Step-by-step explanation:
help with the function and equations question below
The total charge (in dollars) for a rental that includes insurance is C = 0.85M + 22.65.
The given equations are S = 0.60M+17.75 and I = 0.25M+4.90.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let C be the total charge (in dollars) for a rental that includes insurance.
Total charge = Standard charge + Insurance charge
That is, C = S + I
Total charge = C = 0.60M + 17.75 + 0.25M + 4.90
= (0.60M + 0.25M) + 17.75 + 4.90
= 0.85M + 22.65
Therefore, the total charge (in dollars) for a rental that includes insurance is C = 0.85M + 22.65.
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suppose Usain bolt ran 400 meters at the same average speed that he ran the 200 meters. How long would it take him to run 400 meters? Round your answer to the nearest hundredth of a second.
Answer:
lcofoufficymxjxyciycfiyixiy
If a number is chosen at random from the set {1, 2, 3, 4, . . ., 18}, what is the probability that the number chosen is a factor of 17?
Which of the following formulas is CORRECT for finding the present value of an investment
A) FV = PV/(1 + r)^n
B) PV = FV x (1 + r)n
C) PV = FVn x (1 + r)
D) PV = FV x 1/(1 + r)^n
The correct formula for finding the present value of an investment is given by option D) PV = FV x 1/(1 + r)^n.
The present value (PV) of an investment is the current value of future cash flows discounted at a specified rate. The formula for calculating the present value takes into account the future value (FV) of the investment, the interest rate (r), and the number of periods (n).
Option D) PV = FV x 1/(1 + r)^n represents the correct formula for finding the present value. It incorporates the concept of discounting future cash flows by dividing the future value by (1 + r)^n. This adjustment accounts for the time value of money, where the value of money decreases over time.
In contrast, options A), B), and C) do not accurately represent the present value formula and may lead to incorrect calculations.
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Yesterday, you sent 25 text messages. You said that 20% of those messages were to your best friend. How many text messages did you send to your best friend yesterday?
Answer:
5 text messages
Step-by-step explanation:
Given data
The total number of text= 25
20% of the text message were to your best friend
Let us find 20% of 25
=20/100*25
=0.2*25
=5
Hence the number of text sent to your best friend is 5 text messages
Write a recursive formula for a_n,the n th term of the sequence 96,−24,6,....
\((-1{2}{3} )x^{3}\)
After talking with you here are two different options I think you are trying to ask:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
If you are talking about: \((\frac{-12}{3}) ^{3}\)
Answer: -62
Explanation:
PEMDAS tells us we need to do the exponent first:
-12³ = (-12)³ = -1728
The parentheses are important so you cube the negative sign as well!
3³ = 27
-1728 / 27 = -62
\((\frac{-12}{3}) ^{3}\) simplified is -62
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
If you are talking about (-1\(\frac{2}{3}\))³
Answer: -\(\frac{125}{27}\)
Explanation:
First, let us turn -1 and two thirds into a mixed number:
Ignoring the negative for now, we can 1 times 3 is 3. 3 plus 2 is 5. 5/3 is 5/3. Adding in the negative we get \(-\frac{5}{3}\)
To cube it we must do:
(\(-\frac{5}{3}\))(\(-\frac{5}{3}\))(\(-\frac{5}{3}\))
3 times 3 (9) times 3 is 27
5 times 5 (25) times 5 is 125
So we have 125/27
For the negative, we have three - - -
Two cancel each other out, and we are left with one (-) so our answer is negative
(-1\(\frac{2}{3}\))³ simplifed is -\(\frac{125}{27}\)
What is the average rate of change, please simplify your answer (PICTURE BELOW)
Answer:
\({ \tt{average \: \triangle = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ \)
x1 is -1; y1 is -3 [from graph (-1, -3)]x2 is 3; y2 is 5 [from graph (3, 5)]\({ \tt{ = \frac{5 - ( - 3)}{3 - ( - 1)} }} \\ \\ = { \tt{ \frac{8}{4} }} \\ \\ = 2\)
A study was conducted of all 2223 passengers aboard the Titanic when it sank. Does the value of 2223 represent a statistic or a parameter? a. The given value is a parameter because the data collected represent a sample b. The given value is a parameter because the data collected represent a population c. The given value is a statistic because the data collected represent a population d. The given value is a statistic because the data collected represent a sample
A study was conducted of all 2223 passengers aboard the Titanic when it sank, the value of 2223 represent a statistic or a parameter is
b. The given value is a parameter because the data collected represent a population.
Parameter: A parameter is a numerical value that describes a characteristic of a population. A population refers to the entire group or set of individuals or items we are interested in studying. Parameters are typically unknown because it is often impractical or impossible to collect data from an entire population. Therefore, we estimate parameters using sample statistics.
Statistic: A statistic is a numerical value that describes a characteristic of a sample. A sample represents a subset or a smaller portion of a population. Statistics are calculated based on the data collected from the sample and are used to estimate or make inferences about the unknown parameters of the population.
In statistics, a parameter is a numerical summary measure of a population. In this case, the study was conducted on all 2223 passengers aboard the Titanic, which represents the entire population of interest. Therefore, the value of 2223 represents a parameter because it pertains to the entire population.
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Question 3 of 10
Evaluate: (4/5) 1/2
O A. 2/25
O B. 2/5
O C.4:5
O D.4/25
Answer:
2/5
Step-by-step explanation:
HELP MEEEE!!! 17 POINTS
Fifty percent of what number is 12.5?
A. 25
B. 6.25
C. 15
D. 55
Answer:
A) 25
Step-by-step explanation:
12.5 x 2 = 25
- if 50 percent is 12.5
then 100 percent is 12.5 x 2
Answer:
A. 25
Step-by-step explanation:
50% of 25 is 12.5. The word, "of" can be used as multiplying. 50% in decimal form is 0.5, and you multiply 0.5 times all of the answers until you get 12.5 as the answer, which is why A is correct.
Marsha deposited $5500 into a savings account 4 years ago. The simple interest rate is 5% How much money did Marsha earn earn in interest?
Marsha deposited $5500 into savings with 5% interest rate
1st year, Marsha will earn : \(0.05 \times 5500 = 275\)
2nd year, Marsha will earn: \(0.05 \times 5775 = 288.75\)
3rd year, Marsha will earn: \(0.05 \times 6063.75 = 303.19\)
4th year, Marsha will earn: \(0.05 \times 6366.94 = 318.35\)
SOMEONE PLEASE HELP ME WITH THIS !!!!!
Answer:
b!!!!!
Step-by-step explanation:
Help pls
what is the slope intercept form of (-1,8) and (3,6)
Answer: y = 1/2x+15/2
Step-by-step explanation:
If you need any more help let me know!! I will try to answer every question you post!
What is 192 rounded to the nearest ten
Answer:
190
Step-by-step explanation:
192 is closer to 190 than it is to 200, so the answer is 190.
Hope that helps!
Answer:
190
Step-by-step explanation:
192 looking a the ones number (2) if the last number is 5 or higher round up if not go down. therefore 190
Which relation in the below table(s) represents a function?
The relation 2 represents a function.
In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.
To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.
The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.
If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.
We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.
Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.
Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.
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What is the formula for the area of this triangle?
Answer:
A = h b/2
Step-by-step explanation:
Answer:
J =6,L=5,K=3
Step-by-step explanation:
this is kinda hard to do bur I'll try to do it.
Mr. Awan has budgeted $860 to have his dining room
painted. The estimated cost for materials is $100. The painter charges
$35 per hour and estimates that the work will take about 20 hours to
complete. Has Mr. Awan budgeted enough money to paint the dining
room
Answer:
Yes
Step-by-step explanation:
Yes, Mr. Awan will have enough money to paint the dining room. He will have $60 left. The painter requests $35 per hour so we can multiply 35 by the 20 hours which gets us 700. He also is getting materials so we add an extra $100, which leaves us with $800. In summary, yes he has $60 remaining.
Yes he has budget enough money Because 35 * is 700 And plus 100 equals 800 So he has enough money
The graph represents a relation where x represents the independent variable and y represents the dependent variable. a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 2 comma negative 2, at 0 comma 2, at 1 comma 3, and at 5 comma 1 Is the relation a function? Explain. Yes, because for each input there is exactly one output. Yes, because for each output there is exactly one input. No, because for each input there is not exactly one output. No, because for each output there is not exactly one input.
the answer is: No, because for each input there is not exactly one output.
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
To determine if the relation is a function, we need to check if for each input (x-value) there is exactly one output (y-value). We can do this by checking if any two points on the graph have the same x-value but different y-values.
Looking at the points given:
(-5, 1)
(-2, 0)
(-2, -2)
(0, 2)
(1, 3)
(5, 1)
We can see that (-2, 0) and (-2, -2) have the same x-value of -2, but different y-values. Therefore, the relation is not a function.
So the answer is: No, because for each input there is not exactly one output.
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Your fish tank holds 35 liters of water how much is that in millimeters
Answer: 35000
I hope this helps :) Can I get brainiest ?
Which inequality has an open circle when it is graphed on a number line?
Answer:
See below
Step-by-step explanation:
If you consider an open circle, it would exclude the value with which we have circled when writing the inequality. Hence the only possible signs with in such an example can be a greater than sign ( > ) or less than sign ( < );
Let us take a look at an example to help. We are given a graph with an open circle on the number say 3. An arrow extends to the right of this number 3;
\(Inequality Sign - <,\\Inequality - x > 3,\\\)
Hope this helps!
find the value of x please help
6x + 1 + 29 = 90
6x + 30 = 90
6x = 90 - 30
6x = 60
x = 60/6
x = 10
(a) Evaluate sin(5/4) (b) Evaluate tan(167/3) (c) Evaluate sec(-7π/6).
(a) Evaluate \(\displaystyle \sin\left(\frac{5}{4}\right)\):
To evaluate \(\displaystyle \sin\left(\frac{5}{4}\right)\), we use the trigonometric function sine, which gives us the ratio of the length of the side opposite to the angle to the length of the hypotenuse in a right triangle.
Since \(\displaystyle \frac{5}{4}\) is in radians, we can find the sine value by taking the sine of \(\displaystyle \frac{5}{4}\):
\(\displaystyle \sin\left(\frac{5}{4}\right) = \sin\left(1.25\pi\right)\).
The value of \(\displaystyle \sin\left(\frac{5}{4}\right)\) is approximately -0.707.
(b) Evaluate \(\displaystyle \tan\left(\frac{167}{3}\right)\):
To evaluate \(\displaystyle \tan\left(\frac{167}{3}\right)\), we use the trigonometric function tangent, which gives us the ratio of the length of the side opposite to the angle to the length of the side adjacent to the angle in a right triangle.
Since \(\displaystyle \frac{167}{3}\) is in degrees, we can convert it to radians by multiplying it by \(\displaystyle \frac{\pi}{180}\):
\(\displaystyle \tan\left(\frac{167}{3}\right) = \tan\left(\frac{167}{3}\times \frac{\pi}{180}\right)\).
The value of \(\displaystyle \tan\left(\frac{167}{3}\right)\) is approximately 0.999.
(c) Evaluate \(\displaystyle \sec\left(-\frac{7\pi}{6}\right)\):
To evaluate \(\displaystyle \sec\left(-\frac{7\pi}{6}\right)\), we use the trigonometric function secant, which is the reciprocal of the cosine function.
Since \(\displaystyle -\frac{7\pi}{6}\) is in radians, we can find the cosine value and take its reciprocal:
\(\displaystyle \sec\left(-\frac{7\pi}{6}\right) = \frac{1}{\cos\left(-\frac{7\pi}{6}\right)}\).
The value of \(\displaystyle \sec\left(-\frac{7\pi}{6}\right)\) is approximately 2.0.
Therefore, the evaluations are:
(a) \(\displaystyle \sin\left(\frac{5}{4}\right) \approx -0.707\).
(b) \(\displaystyle \tan\left(\frac{167}{3}\right) \approx 0.999\).
(c) \(\displaystyle \sec\left(-\frac{7\pi}{6}\right) \approx 2.0\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
If ΔFGH ≅ ΔIJK, which segment is congruent to segment FG?
segment HF
segment JK
segment IJ
segment GH
Answer:
HF for shoo
Step-by-step explanation:
Problem 2: The perimeter of the UNC Chapel Hill basketball court is 100 meters and the
length is 16 meters more than the width. What are the dimensions?
Given parameters:
Perimeter of the court = 100m
Unknown:
Dimensions = ?
Solution:
let the width = w
Length is 16m more;
Length = w + 16
Perimeter = 2(L + w)
100 = 2 (w + 16 + w)
100 = 2(2w + 16)
100 = 4w + 32
4w = 100 -32
4w = 68
w = 17
So, length = w + 16 = 17 + 16 = 33m
The dimensions of the court are length 33m and width 17m
Please help me with this question.
Answer:
The answer would be 6.66666666667 to be exact or just 6.66.
-Herobrine
Brainliest will be appreciated thank you!
Answer:
6.6 or 6.66
Step-by-step explanation: