Answer:
ok
Step-by-step explanation:
\(\huge\mathcal\colorbox{lavender}{{\color{b}{✿Question♡}}}\)
Answer:
I'm not sure if this was for anyone specific...but thx ig?
Hope you have a nice rest of your day :D
Cynthia had a credit card with a 17% APR and a $3,265 balance. She had budgeted to have the credit card paid off in 24 months. But after missing a single monthly payment, Cynthia’s credit card company has increased her interest rate to 21%. How much extra will Cynthia have to pay in finance charges (interest) because of the increase in her APR if she still pays off the credit card in 24 months? a. $152. 16 b. $272. 08 c. $609. 32 d. $761. 48 Please select the best answer from the choices provided A B C D.
The extra amount Cynthia will have to pay in finance charges (interest) due to the increase in her APR is $761.48.
In summary, Cynthia will have to pay an additional $761.48 in finance charges because of the increase in her APR.
To calculate the extra finance charges, we need to compare the finance charges under the original APR and the new APR.
Under the original APR of 17%, Cynthia's monthly interest rate would be (17%/12) = 1.42%. With a balance of $3,265 and a repayment period of 24 months, the total finance charges would be ($3,265 * 1.42% * 24) = $1,169.47.
After missing a payment, Cynthia's APR increases to 21%. The new monthly interest rate would be (21%/12) = 1.75%. Using the same balance and repayment period, the total finance charges under the new APR would be ($3,265 * 1.75% * 24) = $1,930.95.
The difference in finance charges between the two APRs is ($1,930.95 - $1,169.47) = $761.48. Therefore, Cynthia will have to pay an additional $761.48 in finance charges due to the increase in her APR.
Thus, the correct answer is d. $761.48.
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(A journey by bus takes 45 minutes at 60 km per hour. How fast must a car go to do the same
journey in 25 minutes? plzz answerr!!! this is my third time asking this question:(
Answer:
The car must go at 108 km per hour
Step-by-step explanation:
Let us solve the question
∵ A journey by bus takes 45 minutes at 60 km per hour
∴ The speed of the bus = 60 km per hour
∴ The time of the journey = 45 minutes
→ Change the time from minutes to hours
∵ 1 hour = 60 minutes
∴ 45 minutes = 45 ÷ 60 = 0.75 hour
∴ The time of the journey = 0.75 hour
∵ Distance = Speed × Time
→ Substitute the speed by 60 and the time by 0.75
∵ The distance that the bus traveled = 60 × 0.75
∴ The distance that the bus traveled = 45 km
∵ A car goes to do the same journey in 25 minutes
∴ The distance that the car travels = 45 km
∴ The time that the car takes = 25 minutes
→ Divide it by 60 to change it to hours
∵ 25 minutes = 25 ÷ 60 = \(\frac{5}{12}\) hour
∴ The time that the car takes = \(\frac{5}{12}\) hour
→ Use the rule of the distance above to find the speed of the car
∵ 45 = the car's speed × \(\frac{5}{12}\)
→ Divide both sides by \(\frac{5}{12}\)
∴ 108 = the car's speed
∴ The car's speed = 108 km per hour
∴ The car must go at 108 km per hour
Liz is buying a home for $426,000. She is making a 22% down payment and financing the rest with a 20-year loan at 5.25% interest.
What will her total payment for the home be? Round your answer to the nearest dollar.
Use a mortgage table to find the monthly mortgage payment per 1000 dollars borrowed.
$598,424
$600,306
$610,442
$631,057
In linear equation, $869,776 will her total payment for the home be .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.
The number is $6.74.
That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.
2. Amount borrowed
You will make a 22% down payment:
Thus the amount borrowed is $426,000 - $93,720 = $332,280
3. Monthly payment
Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:
4. Total monthly payments:
Multiply the number of payments by the monthly payment.
Number of payments = 20 years × 12 payments /year = 240 payments.
5. Total payment for the home.
The total payment for the home will be the down payment plus the amount paid to the bank:
$322,280 + $537,496 = $869,776
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A statement that contains = to compare two expressions is a
Answer:
An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement. To achieve our goal, we use two principles of equality, the addition principle and the multiplication principle.
please help:
find each missing angle. round to the nearest degree
Answer:
14 degrees
Step-by-step explanation:
sin(angle) = opp/hypo
sin(x) = 9/38 = 0.2368
x = sin^-1(9/38) = 0.239 rad or 13.7 degrees or 14 degrees (round to the nearest degree)
Graph the image of AEFG after a dilation with a scale factor of centered at the origin.
101
8
G
6
2
-10
+8
-6
4
-2.
0
2
4
6
8
10
-2
E
F
-4
-6
-8
-100
The standard length of a piece of cloth for a bridal gown is 3.25 meters. A customer selected 35 pcs of cloth for this purpose. A mean of 3.52 meters was obtained with a variance of 0.27 m2 . Are these pieces of cloth beyond the standard at 0.05 level of significance? Assume the lengths are approximately normally distributed
The pieces of cloth are beyond the standard at 0.05 level of significance.
We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.
The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:
H0: μ = 3.25
The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:
Ha: μ > 3.25
We can calculate the test statistic as:
t = (x - μ) / (s / √n)
where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).
Plugging in the values, we get:
t = (3.52 - 3.25) / (0.52 / √35) = 3.81
Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.
Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.
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Last Friday Willie had $27. Over the
weekend he received some money for
babysitting. He now has $43. How much
money did he receive?
Answer:
$16
Step-by-step explanation:
He received that much money because all you have to do is just subtract
43-27. Then thats how I got my answer.
Hope this helps and have a great day!
Answer:
Willie received $16 dollars during the weekend
Step-by-step explanation:
$43 (how much money he has now) - $27 (how much he had last Friday) = $16 (how much he received while babysitting during the weekend)
According to the Rational Root Theorem, -2/5 is a potential rational root of which function? ) = 4x4.72#*#25 O Foxo = 9x47x+10 OF) = 10x - 729 Fox) = 25x4.72
Answer:
Option (4)
Step-by-step explanation:
Option (1)
f(x) = 4x⁴- 7x²+ x + 25
Possible rational roots will be,
\(\frac{\pm \text{Factors of constant term '25'}}{{\pm \text{Factors of leading coefficient '4'}}}\)
For the given function,
Possible rational roots = \(\frac{\pm 1, 5, 25}{\pm 1,2}\)
= \(\pm 1, \pm 5, \pm 25, \pm \frac{1}{2},\pm\frac{5}{2},\pm\frac{25}{2}\)
Therefore, \(-\frac{2}{5}\) is not the possible root.
Option (2)
f(x) = 9x⁴- 7x²+ x + 10
Possible rational roots = \(\frac{\pm 1,\pm 2,\pm 5,\pm10}{\pm 1,\pm3,\pm9}\)
Therefore, \(-\frac{2}{5}\) is not the possible root.
Option (3)
f(x) = 10x⁴- 7x²+ x + 9
Possible rational roots = \(\frac{\pm1, \pm3, \pm9}{\pm 1,\pm2,\pm5,\pm10}\)
Therefore, \(-\frac{2}{5}\) is not the possible root.
Option (4)
f(x) = 25x⁴- 7x²+ x + 4
Possible rational roots = \(\frac{\pm 1,\pm2,\pm5}{\pm1,\pm5,\pm 25}\)
= \(\pm1,\pm2,\pm5,\pm\frac{1}{5},\pm\frac{1}{25},\pm\frac{2}{5},\pm\frac{2}{25}\)
Therefore, \(-\frac{2}{5}\) is the possible rational root.
Option (4) will be the answer.
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
What is the probability of getting exactly at least two tails?
Using an example, outline the steps involved in performing a
Wald test to test significance of a sub-group of coefficients in a
multiple regression model.
The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.
The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.
Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:
Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)
If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.
The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.
Here are some of the assumptions of the multiple regression model:
* The independent variables are independent of each other.
* The dependent variable is normally distributed.
* The errors are normally distributed.
* The errors have constant variance.
If any of these assumptions are not met, then the Wald test may not be accurate.
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A 500-pound boat sits on a ramp inclined at 45°. What is the
force required to keep the boat from rolling down the ramp?
Answer:
The force required to keep the boat from rolling down the ramp is approximately 353.55 pounds.
Step-by-step explanation:
To determine the force required to keep the boat from rolling down the ramp, we need to analyze the forces acting on the boat on the inclined ramp.
When an object is on an inclined plane, the weight of the object can be resolved into two components: one perpendicular to the plane (normal force) and one parallel to the plane (component that tries to make the object slide or roll down the ramp).
In this case, the weight of the boat is acting straight downward with a magnitude of 500 pounds. The ramp is inclined at 45 degrees.
The force required to keep the boat from rolling down the ramp is equal to the component of the weight vector that is parallel to the ramp, opposing the tendency of the boat to slide or roll down.
To calculate this force, we can find the parallel component of the weight vector using trigonometry. The parallel component can be determined by multiplying the weight by the cosine of the angle between the weight vector and the ramp.
The angle between the weight vector and the ramp is 45 degrees since the ramp is inclined at 45 degrees.
Force parallel = Weight * cosine(45°)
Force parallel = 500 pounds * cos(45°)
Using the value of cos(45°) = sqrt(2)/2 ≈ 0.707, we can calculate the force parallel:
Force parallel ≈ 500 pounds * 0.707 ≈ 353.55 pounds
Therefore, the force required to keep the boat from rolling down the ramp is approximately 353.55 pounds.
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Jerial took a taxi from her home to the airport. The taxi driver charged and initial fee of 6 dollar plus 3 dollar per mile. The total fare was 24. How many miles did jerial travel on this ride
Jerial traveled a distance of 6 miles on her taxi ride from home to the airport.
Let's assume that Jerial traveled a distance of x miles on her taxi ride. According to the given information, the taxi driver charged an initial fee of 6 dollars plus 3 dollars per mile. This can be represented by the equation 6 + 3x = 24, where 6 represents the initial fee and 3x represents the charge for the distance traveled.
To find the number of miles traveled by Jerial, we solve the equation for x. Subtracting 6 from both sides, we have 3x = 18. Dividing both sides by 3, we find x = 6.
Therefore, Jerial traveled a distance of 6 miles on her taxi ride from home to the airport.
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1/sinx+cosx + 1/sinx-cosx = 2sinx/sin^4x-cos^4x
The simplified expression is 2cos²(x) + sinx - 1 = 0
The expression we will be simplifying is
=> 1/sinx+cosx + 1/sinx-cosx = 2sinx/sin⁴x-cos⁴x.
To begin, let us look at the left-hand side of the expression. We can combine the two fractions using a common denominator, which gives us:
(1/sinx+cosx)(sinx-cosx)/(sinx+cosx)(sinx-cosx) + (1/sinx-cosx)(sinx+cosx)/(sinx-cosx)(sinx+cosx)
Simplifying this expression using the distributive property, we get:
(1 - cosx/sinx)/(sin²ˣ - cos²ˣ) + (1 + cosx/sinx)/(sin²ˣ - cos²ˣ)
Next, we can simplify each fraction separately. For the first fraction, we can use the identity sin²ˣ - cos²ˣ = sinx+cosx x sinx-cosx to obtain:
1 - cosx/sinx = (sinx+cosx - cosx)/sinx = sinx/sinx = 1
Similarly, for the second fraction, we can use the same identity to obtain:
1 + cosx/sinx = (sinx-cosx + cosx)/sinx = sinx/sinx = 1
Substituting these values back into the original expression, we get:
1 + 1 = 2sinx/(sin⁴x - cos⁴x)
Now, we can simplify the denominator using the identity sin²ˣ + cos²ˣ = 1 and the difference of squares formula:
sin⁴x - cos⁴x = (sin²ˣ)² - (cos²ˣ)² = (sin²ˣ + cos²ˣ)(sin²ˣ - cos²ˣ) = sin²ˣ - cos²ˣ
Substituting this back into the expression, we get:
2 = 2sinx/(sin²ˣ - cos²ˣ)
Finally, we can simplify the denominator using the identity sin²ˣ - cos²ˣ = -cos(2x):
2 = -2sinx/cos(2x)
Multiplying both sides by -cos(2x), we get:
-2cos(2x) = 2sinx
Dividing both sides by 2, we get:
-cos(2x) = sinx
Using the double-angle formula for cosine, we get:
-2cos²(x) + 1 = sinx
Simplifying this expression, we get:
2cos²(x) + sinx - 1 = 0
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Mrs. Letting brought 40 cookies to school. Mrs. Letting's class ate 1/2 of the cookies and Mrs. Kim's class ate 1/4 of the cookies. How many cookies are left?
Juan mowed the same number of lawns each week as Mark. Which equation represents Juan’s rate of mowing lawns, where x represents the number of weeks and y represents the total number of lawns mowed?
Answer:
y=20x is correct
Step-by-step explanation:
i took the quiz
Answer:
y = 20x
i got the question right on the quiz
Carla wants the total weight of the bags to be four pounds. If she can only pick one more bag, which bag weight should she pick? pound
Answer:
1/8
Step-by-step explanation:
To find which bag weight Carla needs, the first step is to find the total weight of the bags shown in the line plot.
There are three -pound bags.
There are six -pound bags.
There are four -pound bags.
Multiply the weight and number of each bag to find the total weight of each different weight bag.
Now, add the three totals.
Finally, subtract the total weight from four pounds in order to find which weight Carla needs.
So, Carla should pick one -pound bag of candy to total four pounds.
Proving the sum of the interior angle measures of a triangle is 180
The formula for the interior angles is (3-2)180 which equals 180 degrees
How to determine the sum of the anglesIt is important to note the properties of a polygon. They include;
The shape must be a closed shape The shape is a plane shape, that is, the shape is made of line straight lines or segmentsThe shape must be a two-dimensional figure It must have only two dimensions length and widthIt must have three or more sidesA triangle is a two-dimensional shape and has three sides, thus, it is a polygon.
The formula for calculating the sum of the interior angles of any polygon is expressed as;
Sum of interior angles = (n-2)180
where, n is the number of sides
Substitute the number of sides as 3
Sum of interior angles = (3-2)180
expand the bracket
Sum of interior angles = 180 degrees
Hence, a triangle has a measure of 180 degrees
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I need help
Only Answer
Answer:
40%
Step-by-step explanation:
Each box is worth 20%
You know this because the entierty of the box is 100% and it is divided into 5 groups 100 divided by 5 is 20, thus each box is worth 20%.
If you do all of them you will get 50 points
Answer:
a. -10
b. -2
c. 10
d. 2
e. -2
f. 2
Answer:
a. = -10 b.=-2 c.=-2 d.=+2 e.=+2 f.=+10
What is the surface of the pyramid
The surface area of the given rectangular based pyramid would be =116.8in². That is option A.
How to calculate the surface area of the pyramid?To calculate the surface area of the pyramid, the formula that should be used is given as follows;
S.A = A + 1/2 PS
P = perimeter of base
A = Area of base
S = Slant height
A = L×w = 6×5 = 30in²
P = 2(L+W) = 2(6+5) = 2×11 = 22in
S.A = 30 + ½ × 22× 7.8
= 30+85.8
= 116.8in²
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20 POINTS!!!!!! please be correct or i will report I have to get this done now..
Answer:
1/4
Step-by-step explanation:
I put it into a calculator
Answer:
1/4
Step-by-step explanation:
7/8 plus -2/3 is 5/24. Then you divided by 5/6 to get 1/4
find the intercepts or the line that corresponds to the table of values.
I have a photo to go with it :)
Please help fast, thank you! I only have 20 minutes! I always appreciate your help!
Answer:
ur missing the question
Step-by-step explanation:
(1 point) if the linear system 6x−8x−10x −−5y7y9y − 3z4zhz===−48k has infinitely many solutions, then k= and h= .
If the linear system 6x-8y-10z=-48k, -5x+7y+9z=0, and -3x+4y+hz=0 has infinitely many solutions, x = 6(4) + z = 24 + z , y = -7/5 - z , z is free ,h=2 then k=4 and h=2.
We can rewrite the system of equations as an augmented matrix [A|B], where A is the coefficient matrix and B is the column vector on the right-hand side:
[ 6 -8 -10 | -48k ]
[-5 7 9 | 0 ]
[-3 4 h | 0 ]
We can perform row operations on the matrix to put it in reduced row echelon form, which will allow us to determine the solutions of the system. After performing row operations, we obtain:
[ 1 0 -1 | 6k ]
[ 0 1 1 | -7/5]
[ 0 0 h-2 | 0 ]
From the last row of the matrix, we see that h-2=0, which implies that h=2. From the first two rows of the matrix, we can see that x- z=6k and y+ z=-7/5. Since the system has infinitely many solutions, we can express x and y in terms of z, giving:
x = 6k + z
y = -7/5 - z
Substituting these expressions into the second row of the matrix, we obtain:
-5(6k+z) + 7(-7/5 - z) + 9z = 0
Simplifying this equation gives:
-30k - 10z - 7 + 9z = 0
Solving for k gives k=4.
Therefore, the solutions of the system are:
x= 6(4) + z = 24 + z
y = -7/5 - z
z is free
h=2
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b. Is there a pattern in the table? Explain.
Answer:
no photo
Step-by-step explanation:
we need a photo to decide if answer is correct or not
24 quarts Brenda invited 32 people to her graduation party. If each person will drink about 3
cups of punch, how many gallons of punch does Brenda’s mom need to buy?
How many quarts is this equal to?
do you know how to bake a muffan
Answer:
yea by using a resipe
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
you need eggs, butter, flour, sugar, salt, oil (i prefer olive oil) and baking powder.
fruit if you like them in your sweets.
this makes 12 muffins
2 cups flour
3 tsps baking powder
1/2 tsp salt
3/4 cup sugar
1 egg
1 cup milk
1/4 cup oil
preheat oven. i usually do 350 F, increase the temperature if youd like them to cook faster but keep in mind youll need to check on them often with increased heat.
stir together your dry ingridents and in a seperate bowl beat your egg with a fork. stir in the milk and oil with the egg.
pour into your dry ingriedeints until everything is well mixed.
bake until golden
if you like fruit id suggest blueberries, 1 cup
do you believe that this conjectures "all numbers coming from the question p=n²-n+41 are prime numbers"?
Answer: No
Step-by-step explanation:
Valid only for numbers less than 40.
P(40) = 412 which is not a prime number
Which statement represents the parallel postulate in Euclidean geometry, but not elliptical or spherical geometry?
1 .Through a given point not on a line, there exists no lines parallel to the given line through the given point.
2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.
3.Through a given point not on a line, there exists more than one line parallel to the given line through the given point.
4.Through a given point not on a line, there exists exactly three lines parallel to the given line through the given point.
Answer:
2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.
Step-by-step explanation:
The object of "Euclidean geometry" (more commonly called "plane geometry") is, in principle, the study of the shapes and properties of natural bodies. However, geometry is not an experimental science since its object is not to study certain aspects of nature but a necessarily arbitrary reproduction of it.
After the definitions, Euclid then poses his famous postulates (his requests), the fifth of which has remained Euclid's postulate, often called axiom (or postulate) of parallels and which was the subject of much research and controversy as to its necessity:
Given two points A and B, there exists a line passing through A and B. Any segment [AB] can be extended into a straight line passing through A and B. For any point A and any point B distinct from A, we can describe a circle with centre A passing through B. The whole right angles are always equal to each other. By a point outside a line, we can draw a parallel and only one to this line.From the above explanation, we could deduce that the correct option is Option 2.
Answer:
The answer is B, Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.
Step-by-step explanation: