On Kathleen's credit card statement, her last balance was $89.70. She made a payment of $20, had new charges totalling $32.11, and pays a periodic rate of 1.23 percent. What is her unpaid balance?
102.91
77.59
101.81
69.70
Kathleen's unpaid balance is $101.81. The correct option (C) $101.81.
To find Kathleen's unpaid balance after making a payment and incurring new charges, follow these steps:
Initial Balance: Kathleen's last balance was [tex]\( \$89.70 \).[/tex]
Payment: She made a payment of [tex]\( \$20 \).[/tex]
[tex]\[ \text{Balance after payment} = 89.70 - 20 = \$69.70 \][/tex]
New Charges: Kathleen incurred new charges totalling [tex]\( \$32.11 \).[/tex]
[tex]\[ \text{New balance after charges} = 69.70 + 32.11 = \$101.81 \][/tex]
So, after accounting for the payment and new charges, Kathleen's unpaid balance is $101.81.
Triangle TUV is transformed according to the rule . What are the coordinates for U’?
Answer:
its (6,-4)
Step-by-step explanation:
lol
Solve Solve for c.
ab + c = 5
ben can make 3 pizzas in an hour how long will it take for him to make 27 pizzas
what is the distance between points (12, 4) and (12, -10) on the coordinate plane
Lisa is saving to buy a $300 bicycle. She saves $62 per week for 4 weeks.
To find the amount of money, M, that Lisa has left to save, fill in each box with the number that makes each equation true for each of the following steps
M=300 - 4 x ________
M= 300 - ________
M= ______
. Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 8 cm
The possible sets of two sides for the lengths of the other two sides of the triangle are: 5 cm and 8 cm, 6 cm and 7 cm, and 8 cm and 8 cm.
Explanation:To determine which set of two sides is possible for the lengths of the other two sides of the triangle, we can use the Triangle Inequality Theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, if one side of the triangle is 13 cm, then the sum of the other two sides must be greater than 13 cm in order for the triangle to be valid.
Let's check each set of two sides:
5 cm and 8 cm: The sum of these two sides is 13 cm, which is equal to the given side. Therefore, this set of sides is possible.6 cm and 7 cm: The sum of these two sides is 13 cm, which is equal to the given side. Therefore, this set of sides is possible.7 cm and 2 cm: The sum of these two sides is 9 cm, which is less than the given side. Therefore, this set of sides is not possible.8 cm and 8 cm: The sum of these two sides is 16 cm, which is greater than the given side. Therefore, this set of sides is possible.Based on the Triangle Inequality Theorem, the sets of two sides that are possible are: 5 cm and 8 cm, 6 cm and 7 cm, and 8 cm and 8 cm.
Polygon ABCD, shown in the figure, is dilated by a scale factor of 8 with the origin as the center of dilation, resulting in the image A′B′C′D′. The slope of is .
Answer:
2
Step-by-step explanation:
answer below, do the math and draw it out then it's easy.
an airplane tries to fly due north at 100 m/s but a wind is blowing from the west at 30 m/s. what heading (angle and direction) should the plane take to go due north in spite of the wind?
The airplane must head approximately 16.7° east of due north to compensate for the westward wind blowing at 30 m/s while attempting to fly due north at 100 m/s.
Explanation:To determine the heading (angle and direction) that the airplane should take to compensate for the wind and fly due north, we need to consider the velocity of the plane relative to the air and the velocity of the wind. The plane wants to fly due north at 100 m/s, but the wind is blowing from the west at 30 m/s. This problem involves vector addition and can be solved graphically or using trigonometry.
Graphically, we would draw a vector to represent the plane's intended velocity due north (100 m/s) and then a vector to represent the wind's velocity (30 m/s) to the east of the northward vector. The result is a right-angled triangle where the plane's velocity is the hypotenuse, and the wind's velocity is one of the sides. Using trigonometry, we can calculate the required heading of the plane.
To find the angle (θ) between the plane's heading and the due north direction, we can use the tangent function:
θ = arctan(opposite/adjacent) = arctan(30/100) = arctan(0.3)Calculator error is often in degrees or radians, so ensure which mode you are using. Assuming we need the angle in degrees, we find that:
θ ≈ 16.7°Thus, the airplane must head 16.7° east of due north to compensate for the wind and fly due north.
A potter uses 3/5 of a pound of clay to make a bowl. How many bowls could the potter make from 10 pounds of clay?
Sammy usually takes a 18 minute shower in the morning. If a 4 minute shower uses an average of 20-40 gallons of water, what is the maximum gallons of water that Sammy could be using in her shower?
a.
72 gallons of water
b.
360 gallons of water
c.
90 gallons of water
d.
180 gallons of water
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
In a 4 minute, the shower uses an average of 20-40 gallons of water,
If we consider the maximum gallons of water,
In 4 minutes, the maximum gallons of water = 40
In 1 minute, the maximum gallons of water is given by
[tex]\frac{40}{4}=10[/tex]
In 18 minutes, the maximum gallons of water is given by
[tex]18\times 10=180\ gallons[/tex]
Hence, Option 'D' is correct.
"Name an angle adjacent to
a woman has piece of wood that is 22 ft long and another that is 13 ft long. she wants to select another piece of wood so that she can put all the pieces together to make a triangular garden bed. how long could the third piece of wood be
Final answer:
The third piece of wood must be longer than 9 ft but shorter than 35 ft to make a triangular garden bed with the other two pieces, adhering to the Triangle Inequality Theorem.
Explanation:
To determine the possible length of the third piece of wood to create a triangular garden bed with the other two pieces measuring 22 ft and 13 ft, we need to recall the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. Conversely, the difference between these two sides must be less than the length of the remaining side.
Step 1: Identify the lengths of the two given pieces: 22 ft and 13 ft.
Step 2: To find the minimum length of the third piece, subtract the shorter piece from the longer piece, then add a small value to avoid equality (as the sum must be greater).
Minimum length > 22 ft - 13 ft => 9 ft + a small value
Step 3: To find the maximum length of the third piece, sum the lengths of the two pieces and subtract a small value (as the length must be less than the sum of the other two pieces).
Maximum length < 22 ft + 13 ft => 35 ft - a small value
So, the third piece of wood must be longer than 9 ft but shorter than 35 ft to form a triangle with the other two pieces.
if two pyramids are similar and the ratio between the lengths of their edges is 2;7 what is the ratio of their volumes? ...?
Answer:
The answer is 8:343
Step-by-step explanation:
What percentage of Anchor Global Insurance Full Time employees are employed in the US?
No. Of Employees
FULL TIME PART TIME
US:1,740 170
South East Asia:670 64
UK:300 30
Europe:250 24
China:380 32
Middle East:135 12
Total Cost (IN $ MILLIONS)
Full Time PART TIME
47.0 2.5
You and your friends are trying to decide on a movie. You can choose from eight movies, five show times, and three locations.
How many combinations are possible?
Answer:
The actual answer 160
Step-by-step explanation:
What is the equation in point slope form of the line that passes through the point (–2, 4) and has a slope of 5?
Fiona has proved that a function, f(x), is an arithmetic sequence. How did she prove that?
She showed that an explicit formula could be created.
She showed that a recursive formula could be created.
She showed that f(n) ÷ f(n - 1) was a constant ratio.
She showed that f(n) - f(n - 1) was a constant difference.
Answer:
D
Step-by-step explanation:
She showed that f(n) - f(n - 1) was a constant difference.
The definition of an arithmetic sequence is the difference between consecutive terms is constant, aka common difference.
in triangle TRY, angle Y is a right angle and sin is R=3/5 what are the cosine and the tangent of angle t
What is a possible value for the missing term of the geometric sequence?
50, ___, 450,
Answer:
Geometric sequence states that a sequence in which a number that follows the pattern were the next term is found by multiplying the constant common ratio term(r).
For the sequence: [tex]a, ar, ar^2, ar^3,.....[/tex]
The formula for the nth geometric sequence is given by:
[tex]a_n =ar^{n-1}[/tex]
where
a is the first term
r is the common ratio
n is the number of terms.
Given that:
A geometric sequence:
50, _[tex]a_2[/tex]___, 450
Here, a = first term = 50
[tex]a_3 = 450[/tex]
Using the nth geometric sequence formula:
[tex]a_3 = ar^2[/tex]
or
[tex]ar^2 = 450[/tex]
Substitute the value of a , to solve for r;
[tex]50r^2 = 450[/tex]
Divide both sides by 50 we get;
[tex]r^2 = 9[/tex]
[tex]r = \sqrt{9} = 3[/tex]
To find the term [tex]a_2[/tex];
[tex]a_2 = ar[/tex]
Substitute the given values we have;
[tex]a_2 = 50 \cdot 3 = 150[/tex]
Therefore, the possible value for the missing term of the geometric sequence is 150
Answer:
Step-by-step explanation:
One five zero
terms and like terms of the expression 3x 4-7x-6
If x^2+y^2=25, what is the value of d^2y/dx^2 at the point (4,3)? ...?
Applying implicit differentiation, it is found that:
[tex]\frac{d^2y}{dx^2}(4,3) = \frac{7}{27}[/tex]
The curve given is:
[tex]x^2 + y^2 = 25[/tex]
Applying implicit differentiation, we have that the first derivative is:
[tex]2x\frac{dx}{dx} + 2y\frac{dy}{dx} = 0[/tex]
[tex]2y\frac{dy}{dx} = -2x[/tex]
[tex]\frac{dy}{dx} = -\frac{x}{y}[/tex]
Again applying implicit differentiation, the second derivative is:
[tex]\frac{d^2y}{dx^2} = -\frac{y\frac{dx}{dx} - x\frac{dy}{dx}}{y^2}[/tex]
Since [tex]\frac{dy}{dx} = -\frac{x}{y}[/tex]
[tex]\frac{d^2y}{dx^2} = -\frac{y - \frac{x^2}{y}}{y^2}[/tex]
[tex]\frac{d^2y}{dx^2} = \frac{x^2 - y^2}{y^3}[/tex]
At point (4,3), [tex]x = 4, y = 3[/tex], then:
[tex]\frac{d^2y}{dx^2}(4,3) = \frac{4^2 - 3^2}{3^3} = \frac{7}{27}[/tex]
A similar problem is given at https://brainly.com/question/15278071
Initial investment:$750
Annual rate:?
Time to double: 7 and 3/4 yrs
Amount after 10 yrs:?
Using the formula A=Pe^rt, find the annual rate, and amount after 10 years..
thanks so much!!! please explain!! ...?
Which of the following best represents the average speed of a fast runner?
10 meters per second
10 miles per minute
10 centimeters per hour
10 kilometers per second
the one above is incorrect the real answer is 10 meters per second and you don't really need an equation for this (it's pretty obvious ) :)
Is 57.2 equal to 57.02
If A ⊂ B and A ∩ B = θ then which of the following can be concluded about the sets A and B?
Set A has more elements in it than set B.
Set A is the set containing zero.
Set A is the empty set.
Both sets A and B are the empty set.
Final answer:
Given that A is a subset of B and the intersection of A and B is the empty set, it is conclusive that A is the empty set, and we cannot infer anything about the elements of set B.
Explanation:
When considering sets, subset relation and intersection are fundamental concepts. If A ⊆ B(A is a subset of B) and A ∩ B = θ (the intersection of A and B is the empty set), we can conclude that every element in A is also in B, but since the intersection is empty, A has no elements. Therefore, A is the empty set, which means that A contains no elements. It is not possible to determine the contents of set B or to compare the cardinalities of A and B, since we only know that A is empty.
Observing our subset and intersection principles, while A is a subset of B, the fact that they have an empty intersection invariably means that A cannot contain any member, thereby being the empty set. The other options given in the question are incorrect based on our set theory principles. Set B can be any set; it might not be empty, and it is not possible to make any conclusions about the number of elements in B relative to A from the information given.
Write 90 as a product of prime factors
Final answer:
To write 90 as a product of prime factors, divide it by the smallest prime numbers in sequence: 90 = 2 × 3 × 3 × 5, which can also be expressed using exponents as 90 = 2 × 3² × 5.
Explanation:
Writing 90 as a product of prime factors involves breaking down the number into its prime number components. To do this, we start by finding the smallest prime number that divides into 90, which is 2. We then divide 90 by 2 to get 45. Since 45 is not a prime number, we continue the process and find the smallest prime number that divides into 45, which is 3. Dividing 45 by 3 gives us 15. Again, 15 is not prime, so we divide it by its smallest prime divisor, 3, which results in 5. Now, 5 is a prime number, so we have now expressed 90 as a product of prime factors:
90 = 2 × 3 × 3 × 5
Step-by-Step Process:
Divide 90 by the smallest prime number 2, resulting in 45.
Divide 45 by the smallest prime number 3, resulting in 15.
Divide 15 by 3 again, resulting in 5.
Write down the result as a multiplication of these prime factors: 2 × 3 × 3 × 5.
This factorization can also be written with exponents to show repeated factors: 90 = 2 × 3² × 5.
Quotient of 296.16 ÷ 2.4
Answer:
The answer would be 123.4
Step-by-step explanation:
Resiprical
cos(x/5)sin(x/5)=1/2[sin(2x/5)]
A. True B. False ...?
secy sin(pie/2-y) use basic identites and simplyfy? plzzzzzzzzzz help ...?
Final answer:
To simplify the expression sec(y) sin(π/2 - y) using basic identities, we can use the identity sec(y) = 1/cos(y) and expand the expression using the identity sin(a - b) = sin(a)cos(b) - cos(a)sin(b). The simplified expression is -tan(y).
Explanation:
To simplify the expression sec(y) sin(π/2 - y) using basic identities, we can start by using the identity sec(y) = 1/cos(y). So the expression becomes (1/cos(y)) sin(π/2 - y). Next, let's use the identity sin(a - b) = sin(a)cos(b) - cos(a)sin(b) to expand the expression. We have (1/cos(y)) (cos(y)cos(π/2) - sin(y)sin(π/2)). Since cos(π/2) = 0 and sin(π/2) = 1, the expression simplifies to (1/cos(y)) (0 - sin(y)(1)), which further simplifies to -sin(y)/cos(y). Therefore, the simplified expression is -tan(y).