Madison deposited a total of $5,000 between two saving accounts bearing simple interest. One of the accounts has an interest rate of 4% while the other rate is 5%. If the total interest earned after one year is $220, find the amount deposited into each of the accounts.
Which figure has the correct lines of symmetry drawn in?
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the second equation is substituted into the first equation.
2x – 7y = 4
3x + y = –17
Which quantity is proportional to 20/5?
What is the difference of the polynomials?
(8r6s3 – 9r5s4 + 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4)
Answer: The required difference is [tex]8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6.[/tex]
Step-by-step explanation: We are given to find the difference of the polynomials as follows :
[tex]DP=(8r^6s^3-9r^5s^4+3r^4s^5)-(2r^4s^5-5r^3s^6-4r^5s^4)~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the given difference, we need to choose the terms with same poers of the unknown variables r and s and then subtract their coefficients.
The difference (i) is as follows :
[tex]DP\\\\=(8r^6s^3-9r^5s^4+3r^4s^5)-(2r^4s^5-5r^3s^6-4r^5s^4)\\\\=8r^6s^3-9r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6+4r^5s^4\\\\=8r^6s^3+(4-9)r^5s^4+(3-2)r^4s^5+5r^3s^6\\\\=8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6.[/tex]
Thus, the required difference is [tex]8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6.[/tex]
How to solve 7.86 x 4.6
What is the value of of angle BAD:
30◦
5◦
15◦
20◦
What's the next value?
1 I 2 L 3 F 4
jim sold 200 litters of soda at baseball game.How much is this in milliters?
0.025 in scientific notation (step by step)
0.025 in scientific notation is 2.5 × 10⁻².
To express 0.025 in scientific notation, we need to convert the decimal form to a number multiplied by a power of 10.
Here's how you can do it step by step:
Start with the given decimal number: 0.025.
Identify the non-zero digit. In this case, it is 2.
Move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. Count the number of places you moved the decimal point. In this case, we moved the decimal point two places to the right.
0.025 -> 2.5
Write the non-zero digit (2.5) as a decimal number.
Finally, express the power of 10 that represents the number of places you moved the decimal point. Since we moved the decimal point two places to the right, the power of 10 is -2.
Putting it all together, we have:
0.025 = 2.5 × 10⁻²
Therefore, 0.025 in scientific notation is 2.5 × 10⁻².
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On average, Donna's Cafe has 18 customers, which represents 36% of the total approved occupancy by the fire department. a. What is the total approved occupancy of the cafe by the fire department? Total approved occupancy = customers b. According to the fire department's occupancy approval, what percentage of the cafe is still available for customers? Available occupancy percentage = % c. According to the fire department's occupancy approval, how many seats are still available for customers? Seats still available =
Name the three different types of proof in math and give a description of each
Pick the correct description of the line 5x + 3y=15
Answer:
The correct description is [tex]y=5-\frac{5x}{3}[/tex]
Step-by-step explanation:
In this case, firts we have to organize the equation in the normal way, where y is alone in one side, this is:
[tex]5x+3y=15\\3y=15-5x\\y=\frac{15}{3}-\frac{5x}{3} \\y=5-\frac{5x}{3}[/tex]
The correct description is [tex]y=5-\frac{5x}{3}[/tex]
Now we can see that the slope of the equation is [tex]-\frac{5}{3}[/tex]
4 students equally share 3/4 of a pizza. How much of the pizza does each student get?
To find out how much pizza each of 4 students gets when they equally share 3/4 of a pizza, we divide the amount of pizza (3/4) by the number of students (4). The result is 3/16, which means each student gets 3/16 of the pizza.
Explanation:The question asks how 4 students can equally share 3/4 of a pizza. In mathematics, to divide a quantity equally amongst a group, we perform division. So, in this scenario, we need to divide 3/4 (the pizza) by 4 (the students).
Step 1: Represent the given scenario as a division problem: 3/4 ÷ 4. Step 2: Convert the division into multiplication by the reciprocal. This changes our problem into a multiplication problem: 3/4 * 1/4. Step 3: Multiply the numerators together to get the numerator of the answer: 3 * 1 = 3. Step 4: Multiply the denominators together to get the denominator of the answer: 4 * 4 = 16.
So, the answer of 3/4 ÷ 4 is equal to 3/16. Therefore, each student gets 3/16 of the pizza.
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A pharmacist has 40% and 80% iodine solutions on hand .How many liters of each iodine solutions will be required to produce 6 liters of a 50% iodine mixture?
Convert decimal +49 and +29 to binary, using the signed‐2’s‐complement representation and enough digits to accommodate the numbers. then perform the binary equivalent of (+29) + (-49), (-29) + (+49), and (-29) + (-49). convert the answers back to decimal and verify that they are correct.
To solve this problem, let us first find for the binary equivalents of the numbers. They are:
Decimal --> Binary
+ 29 --> 00011101
+ 49 --> 00110001
- 29 --> 11100011
- 49 --> 11001111
Now we apply the normal binary arithmetic to these converted numbers:
(+ 29) + (- 49) ---> 00011101 + 11001111 = 11101100 ---> - 20 (TRUE)
(- 29) + (+ 49) ---> 11100011 + 00110001 = 00010100 ---> + 20 (TRUE)
(- 29) + (- 49) ---> 11100011 + 11001111 = 10110010 ---> - 78 (TRUE)
Use appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) −1 s (s − 5)(s − 6)(s − 30)
Find the area of a triangle with legs that are: 15mm,10mm,20mm
The area of a triangle with legs that are 15 mm, 10 mm, and 20 mm is [tex]72.618 mm^{2}[/tex]
Further Explanation;Area Area is a measure of how much space is occupied by a given shape. Area of a substance is determined by the type of shape in question.For example;
Area of a rectangle is given by; Length multiplied by width Area of a circle = πr². where r is the radius of a circle, Area of a square = S², Where s is the side of the square.etc.Area of a triangle The area of a triangle is given based on the type of the triangle in question.Right triangle.The area of a right triangle is given by;= 1/2 x base x height
Scalene triangleIt is a triangle that with sides and angles that are not equal.Area of a scalene triangle depends on the features of the triangle given.For example;
Sine FormulaArea of a triangle = 1/2 ab sin θ, when given two sides of the triangle and the angle between themHeron's formulaArea of a triangle = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex] when given all the sides of the triangle. where [tex]s =\frac{(a+b+c)}{2}[/tex]In this case we are given, a = 15 mm, b = 10 mm, c = 20 mm
Therefore, we use the Heron's formula;
Area= [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]s =\frac{(a+b+c)}{2}[/tex]
[tex]s= \frac{(15+10+20)}{2} \\s= 22.5[/tex]
Therefore;
Area = [tex]s\sqrt{s(s-a)(s-b)(s-c)}[/tex]
= [tex]22.5\sqrt{22.5(22.5-15)(22.5-10)(22.5-20)}[/tex]
=[tex]\sqrt{22.5(7.5)(12.5)(2.5)} \\\sqrt{5273.4375}[/tex]
[tex]= 72.618 mm^{2}[/tex]
Keywords: Area, Area of a triangle, Heron's formula, Sine formula, Scalene triangle.
Learn more about: Perimeter: https://brainly.com/question/12905000 Area: https://brainly.com/question/12905000 Area of a triangle: https://brainly.com/question/4125306Heron's Formula: https://brainly.com/question/10713495Level: Middle school
Subject; Mathematics
Topic: Area
Sub-topic: Area of a triangle
which algebraic expression represents the phase
which property of congruence would prove that BD ≈ BD?
the reflexive property of congruence
the symmetric property of congruence
the transitive property of congruence
None of the choices are correct.
The function g(x) = 3(x - 3)2 + 2 will translate 3 units to the right. True or False?
an actor gains 20pounds for a part and then losses 15 pounds during the filming of the movie to go along with the story.who do you write a addition expression to describe this situation
Davis Construction is building a new housing development. They begin by mapping the development out on a coordinate grid. They place one of the two swimming pools at coordinate (-16, -25) and the other at (18, 23). If they want the club house to be exactly halfway between the two pools, find the coordinate point for the clubhouse
To solve this problem, we can use the following ratio formulas to find for the coordinates of the club house:
x = [m / (m + n)] (x2 – x1) + x1
y = [m / (m + n)] (y2 – y1) + y1
Where,
m and n are the ratios (0.5 and 0.5 each since the club house are to be located exactly halfway)
x1 and y1 are the x and y coordinates of the 1st pool (-16, -25)
x2 and y2 are the x and y coordinates of the 2nd pool (18, 23)
Substituting:
x = [0.5 / (0.5 + 0.5)] (18 - -16) + -16
x = 1
y = [0.5 / (0.5 + 0.5)] (23 - -25) + -25
y = -1
Therefore the club house should be located at coordinates (1, -1).
How can I use context clues and keywords to translate situations into inequalities? Explain with an example of your own.
To translate situations into inequalities, use context clues and keywords. Start by understanding the relationships and factors involved. Then, represent the situation with variables and create an inequality based on the context clues. For example, if Bob earns $10 more than Alice, the inequality would be 'a < a + 10'.
Explanation:In order to use context clues and keywords to translate situations into inequalities, it's important to understand the relationships and factors involved. Let's take an example:
Scenario: Suppose you have two friends, Bob and Alice. Bob earns $10 per hour more than Alice. In this case, we can use the following context clues:
The relationship between Bob and Alice: Their wealth is unequal.The factor involved: The difference in their earnings.We can now translate this situation into an inequality:
Let's say Alice's earnings are represented by 'a'.Bob's earnings would be 'a + 10' (since he earns $10 more).The inequality can be represented as 'a < a + 10' (Alice's earnings are less than Bob's earnings).By using the context clues and the keywords (earnings, difference), we were able to translate the situation into the inequality 'a < a + 10'.
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Find the work done by a force fâ =1.8i^+2.2j^n as it acts on an object moving from the origin to the point râ =56i^+31j^m.
The work done by the force is found by taking the dot product of the force vector and the position vector. This is achieved by multiplying corresponding components of the vectors and then adding the results together.
Explanation:To find the work done by the force, we use the formula Work = Force . Displacement, where the '.' signifies a dot product. In this case, the force vector is fâ = 1.8i^ + 2.2j^ and the position vector, râ = 56i^ +31j^. The dot product between force fâ and the displacement (position vector) râ is calculated by multiplying corresponding i and j components and then adding them together. Therefore, Work = (1.8i^.56i^) + (2.2j^.31j^). Perform the multiplication for both components and then add the results to get the total work done by the force.
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Find the area of the shaded region. The units are in millimeters.
Use 3.14 for π. Round your answer to two decimal places.
A rectangle is 6 centimeters longer than is wide and has an area of 280 square centimeters if l represent the length,in centimeters of the rectangle solving which of the following formulas will give the correct value for l?
let f(x)=4x-1 and g(x)=2x^2+3. perform the function operation and then find the domain. To
f(x) + g(x)
HELP!! A spherical ball just fits inside a cylindrical can, 16 centimeters tall, with a diameter of 16 centimeters. Which expression gives the volume of the sphere in cubic centimeters?
formula for volume of a sphere is V=4/3 x pi x R63
if diameter = 16 than radius = 16/2 = 8
so the equation would be 4/3 x pi x 8^3
A study of sleep patterns randomly selected participants in the study to sleep in either a dark room or a room with light.
Which element of experiment design is known to be a part of this study?
A.
blinding
B.
replication
C.
randomization
Answer:
C. randomization
Step-by-step explanation:
We are told that the study randomly selects participants in the study to sleep in either a dark room or a room with light. This means that randomization is part of the study.