Answer:
simple interest is $6.8
Miguel pay the amount to Julio at the end of 6 months was $206.8
Step-by-step explanation:
Given : Miguel Rodriguez borrowed $200 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simple annual interest at 6.8%.
To Find : a) How much will the interest amount to?
b) What amount must Miguel pay Julio at the end of 6 months?
Solution :
Formula for simple interest :
Where rate is in decimal
Time is in years
So, rate of interest = 6.8 % = 0.068
Time = 6 months = 6/12=0.5
Principal = $200
Thus= 200x0.068x0.5=6.8
Can someone Solve this?
- 2 ( m + 1 ) = 10
Answer:
m = -4
Step-by-step explanation:
-2 ( m + 1 ) = 10
( m + 1 ) = 10 / -2
m + 1 = -5
m = -4
Convert 2π radians into degrees.
Answer:
360
Step-by-step explanation:
Every 1/2pi is 90 degrees.
Going down the list...
1/2pi is 90
pi is 180
3/2pi is 270
2pi is 360
We will flip a balanced coin 3 times and for each toss, record whether we get a head or a tail. Write all possible outcomes of this experiment to find the probability that we get exactly 1 head.
The probability of getting exactly one head after flipping a coin three times is equal to ( 3 / 8 ) .
Possible outcomes of flipping a coin three times are :
= { HHH, THH, HTH, HHT, TTH, THT, HTT, TTT }
Possible outcomes of getting exactly one head are:
= { TTH, THT, HTT }
Total number of outcomes are equal to 8
Favourable number of outcomes are 3
Probability of getting exactly one head is equal to
= ( Number of favourable outcomes ) / ( total number of outcomes)
= 3 / 8
Therefore, the probability of getting exactly one head by flipping a coin three times is equal to ( 3 / 8 ).
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Select the correct answer. In which of the scenarios can you reverse the dependent and independent variables while keeping the interpretation of the slope meaningful? A. As the number of cigarettes smoked in a day increases, the risk for lung cancer increases. B. As the age of an infant increases, the height of the infant increases. C. As the number of vehicles in a city increases, the amount of pollution in the city increases. D. As the concentration of salt in water increases, the density of water increases. E. As the number of calls made by a cell phone increases, the cell phone bill amount increases.
The scenarios can you reverse the dependent and independent variables while keeping the interpretation of the slope meaningful in
E) As the number of calls made by a cell phone increases, the cell phone bill amount increases.
What is Independent and Dependent Variable?We anticipate that independent variables will have an impact on dependent variables. What occurs as a result of the independent variable is referred to as a dependent variable.
Given:
We can see from Option A that the opposite may not be true, as an increase in the risk of lung cancer may not always be accompanied by an increase in the number of cigarettes smoked each day.
Now, second it is clear that the opposite may not be true because an infant's age may not necessarily increase along with his or her height.
Now, third also acknowledges that a rise in traffic is not always accompanied by an increase in pollution in a city.
Fourth, a rise in water density does not always imply an increase in the amount of salt present in the water.
Only in Option E do we find a potential reverse reliance because a rise in phone bill amount does typically correspond to a rise in cell phone call volume.
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A company made 500 flashlights and found that 5 were defective. If the company makes 12,500 flashligh
O 120
O125
0 250
O 1,250
The company can expect to find 125 defective flashlights in a production run of 12,500. The correct option is B, 125.
What is flashlights?Flashlight can be defined as a portable, battery-operated device used for illumination. It typical unit consists of one or more dry cell batteries arranged in a line inside a battery compartment that forms the handle of the light.
Assuming the proportion of defective flashlights remains the same, the number of defective flashlights in a production run of 12,500 would be:
(5/500) x 12,500 = 125
Therefore, the company can expect to find 125 defective flashlights in a production run of 12,500. The answer is option B, 125.
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Rosa has measured 3 cups of water.Is this enough water for Rosa to make a double recipe of green slime for a class project? Explain
Based on the recipe for making green slime, 3 cups of water is not enough to make a double recipe of green slime.
What is the recipe for making green slime?One recipe of green slime requires 1 pint of water, which is equal to 2 cups.
In order to make a double recipe, you would need to double the amounts of all the ingredients, including the water.
So, for a double recipe of green slime, you would need:
4 cups of water (2 cups per recipe)
1/2 cup of cornstarch (1/4 cup per recipe)
Green food coloring
Therefore, Rosa would need to measure out 4 cups of water to make a double recipe of green slime for the class project.
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If n is an integer and n > 1, then n! is the product of n and every other positive integer that is less than n. For example, 5! =5 • 4 • 3 • 2 • 1.
a. Write 6! in standard factored form.
b. Write 20! in standard factored form.
c. Without computing the value of (20!)2 determine how many zeros are at the end of this number when it is written in decimal form. Justify your answer.
a) Standard factored form is 2^4 × 3^2 × 5.
b) Standard factored form is 2^18 × 5^8.
c) There are 6 zeros at the end of (20!)^2
If n is an integer and n > 1, then factorial of n is the product of n and every other positive integer that is less than n.
We have to find the standard factor form of 6!
6! = 6 × 5 × 4 × 3 × 2 × 1
Then, we can simplify by grouping the factors of 6! into pairs that multiply to 10:
6! = 2 × 3 × 2 × 2 × 5 × 1 × 3 × 2 × 1 = 2^4 × 3^2 × 5
Therefore, 6! in standard factored form is 2^4 × 3^2 × 5.
Part b
To write 20! in standard factored form, we start with 20 and multiply by every positive integer less than 20:
20! = 20 × 19 × 18 × ... × 3 × 2 × 1
To simplify this expression, we can group the factors into pairs that multiply to 10
20! = (2 × 10) × (2 × 9) × (2 × 8) × ... × (2 × 1) × (5 × 3) × (5 × 2) × 5
We can then combine the factors of 2 and the factors of 5:
20! = 2^18 × 5^8
Therefore, 20! in standard factored form is 2^18 × 5^8.
Part C
The number of zeros at the end of (20!)^2 in decimal form is equal to the number of factors of 10 in (20!)^2. Since 10 = 2 × 5, we need to count the number of factors of 2 and 5 in (20!)^2.
The number of factors of 2 in (20!)^2 is the number of even integers less than or equal to 20, which is 10.
The number of factors of 5 in (20!)^2 is the number of multiples of 5 less than or equal to 20, which is
5, 10, 15, and 20.
However, since we are squaring (20!), we also need to count the number of factors of 25, which is 2:
5^2 and 10^2.
There are 6 zeros at the end of (20!)^2 when it is written in decimal form.
Therefore, each part has been solved
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Use the Negative Area approach to depict the centroid of the section in Figure 2 beloW.
Use the reference ofigin O shown.
8cm
2cm
8cm
X
2cm
2cm
3cm
3cm
3cm
k
*
*
Figure 2
b) i. State any two (2) ways in which a structure may be deemed to lack Structural
Integrity.
(9 marks)
ii. Structural system refers to the load-resisting sub-system of a structure which transfers
loads through interconnected structural components or members. With the aid of
annotated sketches describe any two (2) of the basie types of structural systems.
A structure may lack structural integrity if it experiences overloading and material degradation.
How to explain the structureA structure may lack structural integrity if it experiences:
Overloading, where the loads placed on the structure exceed its design capacity, leading to failure of some structural components or members.
Material degradation, where the structural materials lose their strength and stiffness over time due to environmental factors such as corrosion or excessive temperature.
ii. The basic types of structural systems are:
Frame Structures, where the structural components are arranged in a series of interconnected frames that can resist lateral and gravity loads. Examples include steel frames and concrete frame structures.
Load-Bearing Wall Structures, where the structural components are arranged in a series of interconnected walls that bear the weight of the structure and transfer loads directly to the foundation. Examples include masonry and concrete walls.
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2
Given the expression 15a-7+ 3a +2, answer the questions below.
A. In the expression 15a-7+ 3a²+2, what are the constant terms?
Type the constant terms in the box below.
B. In the expression 15a −7+ 3a² +2, what are variable terms?
Type the variable terms in the box below.
7
The constant terms for the given expression are -7 and 2 and the variable terms for the given expression are 15 and 3a² respectively.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one maths operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression 15a-7+ 3a²+2.
a) A constant term of an expression is a term that does not change its value.
So the constant terms are -7 and 2 as their value never changes in the expression.
b) The value of x changes in the expression because its value can change over time. So the terms containing x are variable terms.
In the given expression, the variable terms are 15a and 3a².
Therefore the constant and variable terms are found for the given expression.
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How do I do these questions ??
1.The athlete that did the most sit-up per minute is D'andrea with 44 sit up per minute
2. 22 Miles in 20 minutes < 38 Miles in 30 minutes
3. The rate that could be Jessica rate is 1 tile in 3 minutes
4. The best rate to find the best value of card is 6 greeting cards for $23.40
5. Elias can fold 3boxes in a minute and Dionne can fold 3.5 boxes in a minute.
What is rate?A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.
Rate per minute is the quantity divide by no of minute.
For example Casey did 93 sit up in 3 minute, His rate = 93/3 = 31 sit up per minute.
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Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by x=1+(y-2)^2, x=2 about the x-axis. Sketch the region and a typical shell.
The volume of the solid is -5.54 cubic units.
The region is bounded by the parabola x = 1 + (y-2)^2 and the line x = 2. To use the method of cylindrical shells, we imagine rotating this region around the x-axis, which gives us a solid shape.
The shell has thickness Δx and height y, and is located at a distance x from the y-axis. To find the volume of the solid, we'll add up the volumes of all the cylindrical shells.
The volume of a cylindrical shell is given by the formula V = 2πrhΔx, where r is the radius of the shell and h is its height. In this case, the radius of the shell is x - 2 (the distance from the y-axis to the edge of the region), and the height is y. So we have:
V = 2π(x - 2)yΔx
To find the total volume of the solid, we integrate this expression over the range of x values that corresponds to the region we're interested in. The region is bounded by x = 1 + (y-2)^2 and x = 2, so we integrate with respect to x from x = 1 + (y-2)^2 to x = 2:
V = ∫[1+(y-2)²]^2 2π(x - 2)y dx
To evaluate this integral, we can use the substitution u = y - 2, which gives us:
V = ∫1^0 2π(u^2 + 3) (1 + u)^2 du
This integral can be evaluated using the power rule and the substitution v = 1 + u:
V = 2π/5 [(1 + u)^5 - (1 + u)^3] from 1 to 0
V = 2π/5 [1 - 32/5]
V = 2π/5 ( -22/5)
V = - 8.8π/5
So the volume of the solid is approximately -5.54 cubic units. Note that the negative sign means that the solid is oriented in the opposite direction from what we might expect - in other words, it has a hole in it.
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PLESSE HELPPPPOPPPPPPPPP
Answer:
Step-by-step explanation:
y = 2x - 6
For 5days, Kareem put 4 into his savings account each day. His parents also added a certain amount of money to the account each day. In the end, there was a total of 40 in the account. How much money did Kareem's parents add each day?
Answer:
both Kareem and his parents added 4 each, to the ACC for five days
what does the term 52s represents?
52s represents the cost for the snowboard times s days.
What is an expression ?
An expression consists of one or more numbers or variables along with one more operation.
Given :
expression : 52s + 10
Since it represents , total cost to rent a snow board for s days plus the fee for the helmet
Therefore , 52 is the cost of the snowboard rental per day.
s represents the day(s) that the equipment is rented out.
Hence , 52s represents the cost for the snowboard times s days.
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Given question is incomplete , the complete question is given below:
At the ski shack customers can rent skis snowboards boots and poles by the day. josh rents a snowboard and a helmet. The expression 52s + 10 represents the toatak cost to rent a snow board for s days plus the fee for the helmet what dose the term 52s represent
PLEASE HELP (IMAGE ATTACHED)
The answer I get is -3x^9 +2x^8 -8 over x^4
What does it simplify to? Use positive exponents only
Answer:
Step-by-step explanation:
To simplify the expression, we need to divide -3x^9 + 2x^8 - 8 by x^4.
The procedure is as follows:
Divide -3x^9 by x^4: -3x^9 / x^4 = -3x^5
Divide 2x^8 by x^4: 2x^8 / x^4 = 2x^4
Divide -8 by x^4: -8 / x^4 = -8x^-4
Combine the results from steps 1-3: -3x^5 + 2x^4 - 8x^-4
Note that the exponent of x in each term is either positive or zero. We can't simplify the expression further since we can't simplify the exponents any more.
6. If 5x < 3y and 6y < 7z, which of the following
is true?
a) 5x < 7z
b) 5x > 7z
c) 10x < 7z
d) 10x = 7z
Answer:
c) [tex]10x<7z[/tex]
Step-by-step explanation:
[tex]5x<3y \implies 10x<6y \\ \\ \therefore 10x<6y<7z \implies 10x<7z[/tex]
A mother is five times as old as her daughter in six years. The mother will be three times as old as her daughter how old is each now.
Answer:
Step-by-step explanation:
12 x 3 =36
Use the formula V = Bh to calculate the volume of a cylinder that has a diameter of 6 centimeters and a height of 8 centimeters. Express your answer in terms of pi.
The volume of the cylinder is 72π cubic centimeters.
What is volume?
Volume is a measure of the amount of space occupied by an object or a substance. It is typically measured in cubic units such as cubic meters, cubic centimeters, cubic feet, or cubic inches.
For solid objects, volume refers to the amount of space the object occupies in three-dimensional space.
The formula for the volume of a cylinder is:
V = Bh
where B is the area of the base of the cylinder, and h is the height of the cylinder.
In this problem, the cylinder has a diameter of 6 centimeters, which means the radius is 3 centimeters. The area of the base of the cylinder is therefore:
B = πr²
B = π(3 cm)²
B = 9π cm²
The height of the cylinder is given as 8 centimeters. Therefore, we can use the formula for the volume of a cylinder to find the volume V:
V = Bh
V = (9π cm²)(8 cm)
V = 72π cubic centimeters
Therefore, The volume of the cylinder is 72π cubic centimeters.
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Lim 3√x-1/x-1. as x tends to 1
Answer: To find the limit of the expression 3√x-1/x-1 as x approaches 1, we can use L'Hopital's Rule. L'Hopital's Rule is a method for finding the limit of indeterminate forms, such as 0/0 or ∞/∞, by taking the derivative of the numerator and denominator.
In this case, the expression is of the form 0/0, so we can use L'Hopital's Rule:
lim 3√x-1/x-1 = lim (3/2)((x-1)^(1/2)) / 1 = 3/2
So the limit of the expression 3√x-1/x-1 as x approaches 1 is equal to 3/2.
Step-by-step explanation:
A company manufactures and sells cell phone cases. The revenue obtained by selling
x cases is given by the formula R =2.4x −0.01x2
Solve the equation below to find the number of cell phone cases they must sell to receive $135 in revenue.
135 = 2.4x−0.01x2
They need to sell or cases to make $135 in revenue.
㏒Answer:
Step-by-step explanation:
Mrs. Smith baked 2 cakes. There are seven people in her family. How much of the cakes can each person have? Make sure to write your answer as a simplified fraction.
The required, each person can have 2/7 of a cake. This fraction cannot be simplified any further, so the answer is 2/7.
What is the fraction?A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers.
here,
To divide the 2 cakes equally among 7 people, we can use division. We can think of the total amount of cake as 2 whole cakes or 2/1 cakes. To find out how much cake each person can have, we can divide the total amount of cake by the number of people:
2/1 cakes ÷ 7 people = 2/1 × 1/7 = 2/7 cakes per person
So each person can have 2/7 of a cake. This fraction cannot be simplified any further, so the answer is 2/7.
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nine less than the product of 8 and a number is 5
Answer:
1.75
Step-by-step explanation:
1. Algebraic equation: 8x - 9 = 5
2. Add 9 on both sides; 8x=14
3. Divide both sides by 8
4. x=1.75
Answer:
Number = 1/2
Step-by-step explanation:
9 - 8a = 5
9 - 5 = 8a
4 = 8a
4/8 = a
a = 1/2
Check:
9 - 8*1/2 = 5
9 - 4 = 5
Fill in the sentence below with the description that most specifically
applies to the quadrilateral below.
X
117
The quadrilateral is most specifically a
because
The quadrilateral is most specifically a square since all the sides of the quadrilateral are equal and have 90°
What is the area of a square?A square is a four sided quadrilateral with all of the side having equal lengths. The total internal angle of a square is 360° with each side perpendicular to each other.
A square is a 4 sided polygon where all the sides are of equal length.
The area of the square is the square of any one of its side
Let a be the side of the square
Area of the square = a²
Given data ,
Let the quadrilateral be represented as ABCD
Now , the measures of the sides of the quadrilateral are
The measure of side AB = measure of side BC
And , the measure of side AB = measure of side AD
So , all the 4 sides of the quadrilateral are same so it is a square
And the measures of angles are 90° each
Therefore , the quadrilateral is a square
Hence , it is a square
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What is a common factor for the two fractional terms
5
8
The terms can be written as (5)
05
-100 100
y
(x) and (11)
11
8
x and.
(x) (y).
xy?
Answer:
Step-by-step explanation: Yes, that is correct. The solution to the system of equations is (x, y) = (-7, 0), which is not in the given options, so none of the options are the correct answer.
I can’t find this answer please help me.
Reason: Split the angle 155 in half to get 155/2 = 77.5
Car 1 is traveling a 7 m/s and has a mass 3000kg. Car 2 is stopped and has a mass of 8000 kg. If the two cars collide and couple , what will be their final velocity?
If the two cars collide and couple, then their final velocity will be 1.91 meters per second.
What is conservation of momentum?According to the principle of momentum conservation, movements are only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never generated nor destroyed inside a problem domain.
The conservation of momentum is given as,
m₁u₁ + m₂u₂ = (m₁ + 2₂)v
Car 1 is moving at a speed of 7 m/s and weighs 3000 kg. Car 2 is not moving and weighs 8000 kg.
3,000 x 7 + 8,000 x (0) = (3,000 + 8,000) x v
21,000 + 0 = 11,000v
v = 21,000 / 11,000
v = 1.91 meters per second
If the two cars collide and couple, then their final velocity will be 1.91 meters per second.
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How many litters is 182.5 gallons
Answer:
689.85 liters
Step-by-step explanation:
1 gallon = about 3.78 liters
182.5 gallon = ? liter
We take
182.5 times 3.78 = 689.85 liters
So, 182.5 gallons is about 689.85 liters
what is 3 1/4-1 3/4 on number line place a point on 3 1/4 and on the difference may use skip counter to show 1 3/4
The difference between 3.25 and 1.75 is done and marked on the number line as below.
What is meant by a number line?
A number line is a representation of a graduated straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point. This line is used to compare integers on an endless line that extends on both sides, either horizontally or vertically, at equal intervals.
We are asked to plot the difference between 3 [tex]\frac{1}{4}[/tex] and 1 [tex]\frac{3}{4}[/tex] on the number line.
3 [tex]\frac{1}{4}[/tex] = 3 + 1/4 = 3 + 0.25 = 3.25
1 [tex]\frac{3}{4}[/tex] = 1 + 3/4 = 1 + 0.75 = 1.75
Difference = 3.25 - 1.75 = 1.5 = 1 [tex]\frac{1}{2}[/tex]
This can be shown on the number line below.
Each division has the value of 1/4 = 0.25.
We have marked 3[tex]\frac{1}{4}[/tex] = 3.25 on the number line.
Since we are subtracting 1 [tex]\frac{3}{4}[/tex] = 1.75 from 3.25, we move 7 divisions backward from 3.25 as 7 * 0.25 = 1.75.
So after moving 7 divisions backwards, we land on 1.5, which is the difference we found earlier.
Therefore the difference between 3.25 and 1.75 is done and marked on the number line as below.
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You borrow $900 and agree to repay it with 11% interest.
How much interest will you owe?
The interest to be paid is $99
What is simple interest?Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.
Simple Interest = P×R×T/100
where P is the principal,
R is the rate
and T is the time
P = $900
R = 11%
T= 1
I = 900× 11/100
I = $99
therefore the interest to be paid is $99
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Answer question B please
I tried doing my own explanation but i i only received a mark not full, i would really appreciate it if you would help m,
thx, kind regards
Lisa
Step-by-step explanation:
The slashes through the lines indicate they're of the same length, which means this is an equilateral triangle. Therefore all three angles are 60 degrees.
The lines being parallel mean that angle x shares the same angle as the triangle in the bottom-right corner.
The parallel lines intersecting with the line segment that is consistent throughout the triangle makes the angle the same.
Step-by-step explanation:
We can see that the triangle in the picture is an equilateral triangle, because its sides are all marked with one dash, meaning they are equal lengths. We note that all the angles in an equilateral triangle are each 60°.
The little arrows on the top and bottom lines in the figure indicate that they are parallel, which means that the diagonal line between them creates a set of alternate angles (I've attached a pic of what alternate angles generally look like to make this clearer).
Alternate angles are equal, which means x is equal to the angle at the bottom right of the triangle, which is 60°.
