Answer:
$900
Step-by-step explanation:
If she holds $500 and she is charged 15%; it means
The interest she pays per month is ;
$500 × 15/100 = $75
Then annually meaning for 12 months, she pays;
$75 × 12 = $900
Her annual interest on her current card is $900.
How to calculate annual interest?The annual percentage rate (APR) is the interest generated by a sum charged to borrowers or paid to investors each year. The annual percentage rate (APR) is a percentage that represents the actual annual cost of funds over the life of a loan or the income earned on an investment.Your daily periodic interest is calculated by dividing your annual percentage rate (APR) by the number of days in the year, which is typically 360 or 365 days depending on your credit card issuer. The annual interest rate is the rate that is applied over a one-year period.Therefore,
She will be taxed 15% if she holds $500, which means
The monthly interest she pays is;
$500 × 15/100 = $75
She then pays annually, which is for a full year;
$75 × 12 = $900
Hence, Her annual interest on her current card is $900.
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Someone please help me with this question
Answer:
The actual answer is 2.26, but since that is not an option, I am going to say that you should choose the very last answer at the bottom, π r².
Step-by-step explanation:
Answer:
(c) 4 in
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
Filling in the given values, we have ...
16π in² = πr²
Dividing by π gives ...
16 in² = r²
Taking the square root, we find ...
r = √(16 in²) = 4 in
The radius of the circle is 4 inches.
What is the slope of the line?
Answer:
It could be 0, is the question multiple choice?
a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)
10/14 a/10.5
solve for A please and explain how you got it
Answer:
\(a = 7.5\)
Step-by-step explanation:
Given
\(\frac{10}{14} = \frac{a}{10.5}\)
Required
The value of a
Cross multiply
\(a * 14 =10 * 10.5\)
Make a the subject
\(a = \frac{10 * 10.5}{14}\)
\(a = \frac{105}{14}\)
\(a = 7.5\)
The Indian Ocean covers 2.808 x 10^7 square miles. Colorado covers 1.04 x 10^5 square miles. How many times bigger than Colorado is the Indian Ocean?
Approximately 2.7 times bigger
Approximately 27 times bigger
Approximately 270 times bigger
Approximately 27000 bigger
Answer:
Approximately 27 times bigger
Step-by-step explanation:
I need help pleaseeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation: [-2.19] = -3
[3.67] = 3
[-0.83] = -1
The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.
This can be generalized as given below:
[x] = -2, -2 ≤ x < -1
[x] = -1, -1 ≤ x < 0
[x] = 0, 0 ≤ x < 1
[x] = 1, 1 ≤ x < 2
Answer:
y = - \(\frac{3}{2}\) x
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line
m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then
y = - \(\frac{3}{2}\) x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (0, 0 )
0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so
c = 0
y = - \(\frac{3}{2}\) x + 0 , that is
y = - \(\frac{3}{2}\) x
i need help answering this question
Answer:
$2500+&80
p(28)=$ 2500+ $80(28)
next step you solve itself
Learning Task 3 Answer the questions that follow. Put a check mark (/) on the space provided. Copy and answer in your math notebook. 1. The units for Volume are always ______squared _____cubed 2. Volume is the amount of space an object takes up. ___True ___False Calculate for the volume of solid. 3. Chona is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 4. A 3-tier cake with the same height of 10 in and radius of 12 in, 8 in, 5 in respectively is to be delivered to a birthday party. How much space does this cake take up? Use 3.14 for π. 5. A Styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.
4. The cake takes up approximately 7317 cubic inches of space.
5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.
1. The units for Volume are always cubed.
2. Volume is the amount of space an object takes up. True.
3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:
V = 3.14 * (4.5)^2 * 32
V = 3.14 * 20.25 * 32
V ≈ 2034.72 cubic inches
4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.
Tier 1:
V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches
Tier 2:
V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches
Tier 3:
V3 = 3.14 * (5)^2 * 10 = 785 cubic inches
Total volume:
Total V = V1 + V2 + V3
Total V = 4521.6 + 2010.4 + 785
Total V ≈ 7317 cubic inches
5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:
V = (1/3) * 3.14 * (24)^2 * 12
V = (1/3) * 3.14 * 576 * 12
V ≈ 7234.08 cubic centimeters
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Factor 7x3y4−7x2y5 completely.
A) 7xy(x^2y^3−xy^4)
B) 7x^2y^4(x−y)
C) 7(x^3y^4−x^2y^5)
D) x^2y^4(7x−7y)
Answer:
B
Step-by-step explanation:
when we factor completely, we take a look at what is the biggest common factor of 7x³y⁴ and 7x²y⁵. In this case it is 7x²y⁴.
7x³y⁴-7x²y⁵ = 7x²y⁴(x-y) which is B.
Jason noticed that his house number is exactly divisible by 7. His friend Sam pointed out that it is also divisible by 18. If his house number is a 4-digit number, find the smallest number that could be his house number.
I think the answer is 1008
Step-by-step explanation:
I NEED HELP ASAP PLEASE
Answer:
-3x^12y^-6
Step-by-step explanation:
330,000,000,000,000,000,000,000 kg. to the power of ten
Answer:
uhhhhhhh not possible to much math
9. Jack recorded the number of different colored marbles he has in a pouch. The results are provided in the table below. Color blue 5 brown 4 green. 3 orange 5 red 4 yellow 4 Part B. Jack has another jar of 275 marbles that have the same distribution as the table above. Based on the information in the table, determine the number of yellow marbles
Based on the information provided in the table, Jack has 4h yellow marbles.
To determine the number of yellow marbles in the jar of 275 marbles, we can use the information from the table to find the proportion of yellow marbles in the first pouch.
According to the table, there are 4 yellow marbles out of a total of 25 marbles in the first pouch.
Therefore, the proportion of yellow marbles in the first pouch is 4/25.
To find the number of yellow marbles in the jar of 275 marbles, we can multiply this proportion by the total number of marbles in the jar.
Number of yellow marbles = (4/25) x 275 = 44
Therefore, there are 44 yellow marbles in the jar of 275 marbles.
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Kalib rented a car for 5 days while on vacation in Miami. His total bill was $279. How much
the rental car cost him each day?
Answer:
he would pay 55.8 dollars each day for 5 days
Step-by-step explanation:
What are the factors of 42 to find it’s prime numbers and how do I put it in a factor tree
Answer:
See below
Step-by-step explanation:
Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.
Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.
A line has a slope of 3 and a y-intercept of 5. What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form?
IF U ANSWER SOMETHING JUS TO GET POINTS YOU WILL GET DELETED AND REPORTED !!!!
Answer:
y=3x+5
Step-by-step explanation:
Slope intercept form is always y=mx+b
'm' represents slope and 'b' represents y-intercept.
Hope it helped.
ompounding goes from _ value to _ value.
Answer:
Compounding goes from present value to future value.
The sum of two numbers is 43, the difference is 7. Find the numbers
Answer:
25 and 18
Step-by-step explanation:
2 3/4 Super Sammy ate 13/5 slices of pizza for lunch and 2 2/10 slices for dinner. How much pizza did Super Sammy eat altogether?
Answer:
19 pizza
Step-by-step explanation:
4+5+10=19 pizza
Question A class of 25 students took a spelling test. Two students scored 100 on each test, nine students scored 95 on each test, ten students scored 90 on each test, three students scored 80 on each test and one student scored 70. What is the average score of the spelling test rounded to one decimal place? Enter your answer in the box.
The average score of the spelling test is 90.6%
To find the average score of the test, we need to add up all the scores and divide by the total number of students. We can think of the average score as the "typical" or "representative" score of the entire class.
First, let's add up all the scores:
2(100) + 9(95) + 10(90) + 3(80) + 1(70) = 200 + 855 + 900 + 240 + 70 = 2265
Next, we divide by the total number of students:
Average score = (2 + 9 + 10 + 3 + 1) / 25 * 100% = 25 / 25 * 100% = 90.6%
Therefore, the average score of the spelling test is 90.6% when rounded to one decimal place.
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The two top concert tours in 2016 were concert A and concert B. Based on average ticket prices, it cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B. Three tickets for concert B cost a total of $687. How much did an average ticket cost for each tour?
The average ticket cost for each concert is given as follows:
Concert A: $188.83.Concert B: $95.67.How to obtain the ticket costs?The ticket costs are obtained by a system of equations, for which the variables are given as follows:
Variable a: cost for Concert A.Variable b: cost for Concert B.It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:
6a + 6b = 1707
a + b = 284.5.
Three tickets for concert B cost a total of $687, hence the cost for concert B is of:
3b = 687
b = 287/3
b = $95.67.
Replacing into the first equation, the cost for concert A is given as follows;
a = 284.5 - 95.67
a = $188.83.
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a rectangle in the first and second quadrants of the coordinate plane has its base along the x-axis and two vertices on the parabola defined by y
The area of rectangle with has its vertices defined on parabola is 32 square units.
What is rectangle?An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a polygon with four sides and four angles that are each 90 degrees. A rectangle is a shape with only two dimensions.
What are other terms to describe rectangle?Square, figure, oblong, parallelogram, plane a.re terms to describe rectangle
Equation of Parabola is y = 12 - x^2 is an even function.
Therefore, its rectangle form also is even at the origin.
We know area of rectangle = length × width
Here,
length = 2x, width = y
Area, A = 2x(12 - x2)
⇒ A = 24x - 2x^3
Take derivative of A with respect to x
⇒ A' = 24 - 6x^2
The area is largest when A' = 0
⇒ 24 - 6x^2 = 0
⇒ x^2 = 4
⇒ x = 2
Put the value of x in y = 12 - x^2
⇒ y = 12 - 4
⇒ y = 8
Area = 2(2)(8) = 32
Therefore, the largest area of a rectangle is 32 square units.
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Identify percent of change. 20 is decreased to 6.
Answer:
70%
Step-by-step explanation:
the formula for percent of change is:
New value - Old value divided by Old value
we can write this algebraically as:
(6-20)/20 which is -14/20
the negative simply implies a 'decrease' from old to new
14/20 equals 70/100 or 70%
Answer:
The answer to your question is 70% decrease
Step-by-step explanation:
I hope this helps and have a wonderful day!
Find the distance between the Point C and Point D.
A. √49 units
B. √58 units
C. 10 units
D. √56 units
•C
3
2
ܘ ܐ ܐ
77
4977
D
3 4
The distance between point C (-3, 3) and point D (0, -4) is equal to: √58 units.
How to determine the distance between the coordinates for each points?In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where:
x and y represent the data points (coordinates) on a cartesian coordinate.
By substituting the given end points into the distance formula, we have the following;
Distance = √[(0 + 3)² + (-4 - 3)²]
Distance = √[(3)² + (-7)²]
Distance = √[9 + 49]
Distance = √58 units.
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Find the dimensions of a rectangle (in m) with area 1,000 m2 whose perimeter is as small as possible. (Enter the dimensions as a comma separated list.)
The perimeter of the rectangle is the sum of its dimensions
The dimensions that minimize the perimeter are \(\mathbf{10\sqrt{10 },10\sqrt{10 }}\)
The area is given as:
\(\mathbf{A = 1000}\)
Let the dimension be x and y.
So, we have:
\(\mathbf{A = xy = 1000}\)
Make x the subject
\(\mathbf{x = \frac{1000}{y}}\)
The perimeter is calculated as:
\(\mathbf{P = 2(x + y)}\)
Substitute \(\mathbf{x = \frac{1000}{y}}\)
\(\mathbf{P = 2(\frac{1000}{y} + y)}\)
Expand
\(\mathbf{P = \frac{2000}{y} + 2y}\)
Differentiate
\(\mathbf{P' = -\frac{2000}{y^2} + 2}\)
Set to 0
\(\mathbf{ -\frac{2000}{y^2} + 2 = 0}\)
Rewrite as:
\(\mathbf{ -\frac{2000}{y^2} = -2}\)
Divide both sides by -1
\(\mathbf{\frac{2000}{y^2} = 2}\)
Multiply y^2
\(\mathbf{2000 = 2y^2}\)
Divide by 2
\(\mathbf{1000 = y^2}\)
Take square roots of both sides
\(\mathbf{y = \sqrt{1000 }}\)
\(\mathbf{y = 10\sqrt{10 }}\)
Substitute \(\mathbf{y = \sqrt{1000 }}\) in \(\mathbf{x = \frac{1000}{y}}\)
\(\mathbf{x = \frac{1000}{\sqrt{1000}}}\)
\(\mathbf{x = \sqrt{1000}}\)
\(\mathbf{x = 10\sqrt{10 }}\)
Hence, the dimensions that minimize the perimeter are \(\mathbf{10\sqrt{10 },10\sqrt{10 }}\)
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What is the value of n 8n-5=139
The value of 'n' is 18 in the given equation 8n - 5 = 139.
We have to find the value of 'n'.
To do so, we need to solve the given equation.
Let us see how we can solve the given equation.8n - 5 = 139
We need to find the value of 'n'.
Let us bring the constant term to the right side by adding 5 to both the sides of the equation.8n - 5 + 5 = 139 + 5On simplifying, we get8n = 144Now, we need to isolate 'n' to find its value.
To do so, we divide both the sides by 8.8n/8 = 144/8On simplifying, we get n = 18
Therefore, the value of 'n' is 18.
Hence, the value of 'n' is 18 in the given equation 8n - 5 = 139.
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Elsa will rent a car for the weekend she van choose one of two plans the first plan has an initial fee of $51.98 an cost an additional 0.12 per mile driven the second plan has an initial fee of $37.98 and cost an additional 0.16 per mile driven. How many miles would elsa need to drive for the two plans to cost the same
professor curie is using radioactive isotope Francium-223 in her research. the isotope has a half life of 22 minutes, which means that every 22 minutes the sample has half the radioactivity it did in the previous interval , If professor curie has 15 grams of Francium-223 which explicit formula describes how the isotope decays ?
The answer is B
Is that it?
Answer: The correct answer is "D"
Step-by-step explanation:
I took the test
Marsha is driving 630 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
Answer:
Marsha has driven 252 miles
Step-by-step explanation:
In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.
Hope this helps!
Answer: 252 miles
Step-by-step explanation:
NEED ASAP
Which value is the solution for the equation tanx/2=1
pi/2
pi/4
3pi/4
3pi/2
Answer:
a ) π/2, 4π/3, 3π/2. 5π/3.
Step-by-step explanation:
2 sin t cos t + √3 cos t = 0
cos t ( 2 sin t + √3 ) = 0
Therefore:
cos t = 0, t 1 = π/2, t 2 = 3 π/2
or:
2 sin t + √3 = 0
2 sin t = - √3
sin t = - √3 / 2
t 3 = 4 π/3, t 4 = 5 π/3
Answer:
I think its the first option
89divided by 5 I NEED HELP
Answer:
17.8
Step-by-step explanation: