Suppose that $25,200 is invested in a certificate of deposit for 2 years at 11.1 % annual interest to be compounded semi-annually, compound interest will this investment earn is $5,904.8892.
What is compound interest?Compound interest, also known as interest on the principal and interest, is the practice of adding interest to the principal amount of a loan or deposit. It occurs when interest is reinvested, or added to loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on principal amount plus any accumulated interest. In the finance and economics, compound interest is common.
In contrast to the simple interest, which does not compound since past interest is not added to the principal for the current period, compound interest allows interest to build over time. The interest per period multiplied by number of periods in a year yields the simple annual interest rate. The nominal interest rate is the another term for the basic annual interest rate (not to be confused with the interest rate not adjusted for inflation, which goes by the same name).
It is known that the compound interest is given as
Compound Interest = [total amount of the principal and interest in future]-[total amount of the principal in present]
=[tex]P(1+i)^{2} - P\\P(1+i)^{2} - 1\\[/tex]
where, p= principal, i= nominal annual interest, n= the number of the compounding period
Given
P = $25,200
i= 11.1% = 0.111
n= 2
compound interest is
C = 25,200 [[tex](1+0.111)^{2}[/tex]-1]
= $5,904.8892
The investment will earn the interest of $5,904.8892.
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What is the length of segment BC? (4 points) A coordinate plane is shown. Point B is located at negative 3, negative 2, and point C is located at 0, 2. The points are connected by a line segment. a 4 b 5 c 6 d 7
By means of vector sum and Pythagorean theorem, the line segment BC has a length of 5 units.
What is the length of the line segment?
We find a line segment whose endpoints are known and set on Cartesian plane, the length of the line segment must be found by means of vector sum and Pythagorean theorem. First, determine the vector associated to the line segment:
[tex]\overrightarrow {BC}[/tex] = C(x, y) - B(x, y) = (0, 2) - (- 3, - 2) = (3, 4)
Second, determine the magnitude of the vector derived in the previous step:
BC = √(3² + 4²)
BC = 5
The length of the line segment BC is equal to 5 units.
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1 and 2 form a linear pair the m<2 is six more then twice the m<1 finf m<2
Answer:
m<2= 2x+6
Step-by-step explanation:
so you have +6 or six more than 2x or twice than m<1 so therefore m<2= 2x+6
where is y=5x on a graph ???
Answer and Explanation:
y = 5x is a line with a constant of proportionality of 5 (it goes through the origin). It goes through quadrants I and III.
See the attached image for a graph.
please please help me rn it do in few mins
Answer: 68.75
Step-by-step explanation: I did the math myself so it may not be correct, but it's at least very close.
Answer:
the correct answer is D:68.75
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Question
Which is equal to open parentheses 2 x squared minus 5 x plus 4 close parentheses minus open parentheses 4 x squared plus 3 x minus 2 close parentheses
Answer · 2 votes
(4-5+4)-(16+3-2)(-1+4)-(16+1)3-17-14
The value of the expression is [tex]-2x^2[/tex]-8x + 6.
Given expression:-
[tex](2x^2-5x+4)-(4x^2+3x-2)[/tex]
We have to find the value of the given expression.
We know that, while subtracting quadrating equations, we subtract like terms from like terms.
Like terms
Like terms are those that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only we can combine like terms.
For example : While adding (5x + 3) and (4x - 5), we will add 5x to 4x and 3 to -4 to get the answer that is 9x - 1.
Hence, we can write,
([tex]2x^2-4x^2[/tex]) + (-5x -3x) + (4 -(-2)) = [tex]-2x^2[/tex] -8x + 6.
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←
Write a quadratic equation in standard form that has two solutions, 1 and =
10.
0
(Simplify your answer. Type an expression using x as the variable.)
With the two solutions, the quadratic equation is x^2 - 11x + 10 = 0
How to determine the quadratic equation in standard form?From the question, we have:
Number of solutions = 2
Variable = x
Where the solutions are
1 and 10
This means that
x = 1 and x = 10
Rewrite the above solutions as
x - 1 = 0 and x - 10 = 0
Multiply the above equations
(x - 1) * (x - 10) = 0
This gives
x^2 - 11x + 10 = 0
Hence, the quadratic equation in standard form is x^2 - 11x + 10 = 0
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Find the length of the segment indicated round your answer to the nearest tenth if necessary
The length of the segment indicated to the nearest tenth are as follows:
x = 7x = 8How to find the length of a segment?The length of the segment can be found as follows:
Therefore, the segment indicated in question 5 is the radius of the circle.
The radius of a circle is the distance from the centre of the circle to any point on it's circumference.
The radius is half of diameter.
The radius from the second to one end of the circumference is given as 7. Therefore, the radius from the centre to another end of the circumference will be as follows:
x = 7The second circle, the line from the centre bisect the chord into equal halves. Since the other half is 8, that means the second half will be as follows:
x = 8Therefore, the length of the segment indicated are 7 and 8 respectively.
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factorise the expression (a+b)^2=4
The factored expression of the expression given as (a + b)^2 = 4 is (a + b + 2)(a + b - 2) = 0
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to factor the expression?The expression is given as
(a + b)^2 = 4
Express 4 as 2^2
So, we have
(a + b)^2 = 2^2
Rewrite as
(a + b)^2 - 2^2 = 0
Apply the difference of two squares
So, we have
(a + b + 2)(a + b - 2) = 0
Hence, the equivalent expression of the expression given as (a + b)^2 = 4 when it is factored is (a + b + 2)(a + b - 2) = 0
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two and one hundread eight thousandths in standard form
Using only the values given in the table for the function,
f(x), what is the interval of x-values over which the
function is increasing?
(-6-3)
(-3,-1)
(-3.0)
(-6-5)
The interval of x-values over which the function is increasing is (-3 , -1)
What is function ?A law that connects two variables—the dependent and the independent variables—is known as a function.
A function's range and domain are always specified.
The x and y values are:
-6 -34
-5 3
-4 -10
-3 -11
-2 -6
-1 -1
0 -2
1 -15
It is necessary to identify the range of x-values across which the function increases.
The function is not rising in this interval, hence the first option is (-6, -3).
The function is rising in this range, hence the second alternative is (-3, -1).
The function is not rising in this interval, hence the third alternative is (-3, 0).
The function is not rising in this period, hence the fourth alternative is (-6, -5).
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Determine whether the equation y=7-x represents a linear or nonlinear function.
Answer: linear equation
Step-by-step explanation:
because x is not squared
K-
Assume that random guesses are made for 8 multiple-choice questions on a test with 5 choices for each question, so
that there are n = 8 trials, each with probability of success (correct) given by p=0.20. Find the probability of no correct
answers.
Click on the icon to view the binomial probability table.
The probability of no correct answers is
(Round to three decimal places as needed.)
www.
Using the binomial distribution, it is found that:
The probability of no correct answers is 0.1678 = 16.78%.
For each question, there are only two possible outcomes, either it is answered correctly, or it is not. The answer of a question is independent of any other question, thus the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula for the probability of x successes is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.In the context of this problem, considering the number of questions and the probability of each being answered correctly, the parameters are given as follows:
n = 8, p = 0.2.
The probability of no correct answers is P(X = 0), hence:
P(X = 0) = (0.8)^8 = 0.1678.
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Please help me Please help me please
Answer:
1. given
2. corresponding angle theorem
3. vertical angle theorem
4. transitive
Step-by-step explanation:
1. it is given because the question supplies the fact at the top above the diagram called "Given:"
2. corresponding angle theorem: "when a line intersects 2 parallel lines, then the corresponding angles in the 2 regions of intersection are congruent" (also look at correspond_screenshot, the first image)
3. vertical angle theorem: "when two straight lines intersect, they form two sets of linear pairs with congruent angles" (also look at vertical_screenshot, the second image)
4. transitive: since we now know <2 ~= <1 ~= <3, we can say <2 ~= <3
("If any segments or angles are congruent to the same angle, then they are congruent to each other")
Someone please help with this
What is the expression after applying the distributive property?
−3.6(−2+(−7))
Enter your answer by filling in the boxes.
(-3.6) ( ) + ( ) ( )
The expression after applying the distributive property is: (-3.6)(-2) + (-3.6)(-7).
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
What is the distribution property?The distributive property states that when the sum of two (2) or more addends are multiplied by a specific number, the same output would be produced as when each addend is multiplied respectively by the number, and the products are added together.
Mathematically, the distributive property of multiplication is given by this expression:
x(y + z) = xy + xz.
By applying the distributive property of multiplication to the given expression, we have the following expression:
-3.6(-2 + (-7)) = (-3.6)(-2) + (-3.6)(-7).
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Answer the questions in the photos for brainliest
The answers are subtraction, subtraction, and addition property of equality
There are 9 properties of equality, which are addition, subtraction, multiplication, division, distributive, substitution, reflexive, symmetric, and transitive. In this case, we are using the first 2. In algebra, whatever you do to one side has to be done to the other, in the case of the first problem x is being subtracted on both sides, which represents the definition of the subtraction property (If a = b, then a – c = b – c, a is the one side of the equation, b is the other side, and c is the subtraction done on both sides). The first one is the subtraction property of equality, then, and if we look at problem 2, the same thing is done (apart from that it is done with a number, which doesn't affect the property), so it is also the subtraction property.
Now the last problem seems to do the opposite, it seems to be adding instead, in this case, adding 1 on both sides. This follows the definition of the addition property of equality (If a = b, then a + c = b + c) since it is adding c (1) on both sides. So the last problem is the addition property of equality.
Leah has an account balance of -150 dollars. Which of the following represents a debt greater than -150 dollars? - 175 dollars - 150 dollars -125 dollars 0 dollars
Owing 175 dollars is more than owing 150 dollars.
Thereby, the correct answer is A) -175 dollars
.
We only combine like terms when the like terms are
where?
Step-by-step explanation:
We only combine like terms when the like terms are alike
To combine like terms, we have to add the coefficients and keep the variables the same. We add like terms to make one term. Example: 7x+3x both are like terms we can combine together and write 10x.
need help y’all pls ♀️
In this Triangle, ΔUVW, UW is extended through point w to point x
∠ WUV = (3x - 4)°
∠ VWX = (6x + 6)°
∠ UVW = (x + 20)°,
the value of x is 5
According to the question, given that
∠ WUV = (3x - 4)°
∠ VWX = (6x + 6)°
∠ UVW = (x + 20)°
because ∠ VWX = ∠ WUV + ∠ UVW
⇒ (6x + 6) = (3x - 4) + (x + 20)
⇒ (6x + 6) = 4x + 16
⇒ 2x = 10
⇒ x = 5
{The sum of triangle's interior angles is 100°}
{The sum of supplementary angles is 180°}
Therefore, In ΔUVW, UW is extended through point w to point x, then the value of x is 5.
The interior angles of a triangle always add up to 180° while the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it. By deducting the angle of the target vertex from 180°, one can also determine a triangle's exterior angle.
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(5x10^2) x (8x10^4)
I NEED HELP PLEASE!!!!
Answer:
4 x 10^7 i.e. 40000000
Step-by-step explanation:
(4x10^7) is obtained by multiplying (5x10^2) by (8x10^4).
The equation can be solved by multiplying the coefficients (5 and 8) first, adding the exponents (2 and 4), and writing the result in scientific notation:
(5 x 8) x 10^(2 + 4) = 40 x 10^6 = 4 x 10^7.
Hope it helps! : )Tell whether x and y are proportional x: 4,6,12,16 y: 6,8,16,20
Check the picture below.
PLSS heLP on my math
16. A snack mix contains toasted oat cereal,
pretzels, and nuts in a ratio of 2:2:1 by
mass. What mass of each ingredient is
needed to make the following amounts of
snack mix?
a) 330 g
b) 210 g
c) 500 g
d) 750 g
The mass of ingredient is given by 66g, 45g, 100g, 150g.
What is mass?
Mass is a parameter of measurement that calculates how much matter is contained in a body.
Mass is a physical quantity. Mass is measured in terms of the weight of a body. Gram, kilogram, and pounds are some standard mass units to measure it. The SI unit of mass is the kilogram; however, smaller objects are measured in grams.
Given, the ratio of the ingredients by mass as 2:2:1.
Let x be the mass of the ingredients.
A) total mass is given by 330g
therefore, 2x+2x+1x = 330
5x = 330
x = 330/5
x = 66
Hence the mass of oat = 2(66) = 132g
mass of cereal = 2(66) = 132 g
mass of nuts = 66g
B) 2x+2x+1x = 210
5x = 210
x = 210/5
x = 42g
Hence, the mass of oat = 2(42) = 84g
mass of cereal = 2(42) = 84 g
mass of nuts = 84
C) 2x+2x+1 = 500
5x = 500
x = 100
hence, the mass of oat = 2(100) = 200g
mass of cereal = 2(100) = 200 g
mass of nuts = 100g
D) 2x+2x+1 = 750g
5x = 750
x = 750/5
x = 150
Hence, the mass of oat = 2(150) = 300g
mass of cereal = 2(150) = 300 g
mass of nuts = 150g
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digital
RÁCTICA
suelve cada ecuación. VER EJEMPL
-4x+3x = 2
Answer:4/3-2
Step-by-step explanation:
if a family's ratio of income to poverty measurement is 1.05 , then the family is considered by the census bureau as severely rich. rich. near poor. severely poor. poor.
When a family's ratio of income to poverty measurement is 1.05 , then the family is considered by the census bureau as rich.
How to illustrate the information?The "economy food plan," which is based on the U.S. Department of Agriculture, is used as the basis for an absolute poverty indicator in the country. The World Bank also uses an absolute definition of poverty. Extreme poverty is defined as surviving on less than $1.90 USD a day.
A ratio of less than 1 generally indicates that the income is below the poverty line. When the ratio is 1, income and poverty level are equal, and when the ratio is larger than 1, income is greater than poverty level. In this case, the family is rich.
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Which equation represents a line which is parallel to the line
y = 1/2x +3
Equation represents a line which is parallel to the line
y = 1/2x +3 with (2,5)
Since you are looking for an equation that is parallel to a line, the slope is the same: m = 1/2
Use Point-Slope equation [y-y1 = m(x-x1)]
with the given point (2,5): y-
5=1/2(x-2)
Distribute the 1/2: y-5=1/2x-1
Move the 5 to the other side to put it in y=mx+b form: y=1/2x-1+5
Answer:
y=1/2x+4
A parallel equation can be located in what way?
In the absence of an intersection, two lines are said to be parallel. Each line has the same slope. In the event that m1=m2, f(x)=m1x+b1 and g(x)=m2x+b2 are parallel. If m 1 = m 2, then f (x) = m 1 x + b1 and g (x) = m 2 x + b2 are parallel.
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estimate 18.50x2.6
[please help it is a past due asigment
Answer:
11.1x²
Step-by-step explanation:
The function A(t) (70 6t)2 gives the area of the oil slick (in
square meters) t hours after Lindsay first spots it.
a. Find the rate at which the area is growing exactly one hour after
Lindsay first saw it.
b. Express your answer as a derivative.
Answer: Heres your answer! I hope we can be friends!
Step-by-step explanation: The answer for A is the specified rate fro 70+66, which would be 126x2 is 166. B as derivative would be your preference! I hope this helped have a good day!
The expression models the final price of a television set with an instant rebate in a state that charges a sales tax. what is the expression that represents the price of the television set after the instant rebate is applied and before the tax is applied? question 4 options: x - 300 0.07x x 0.07x (x - 300)
C x -300 is the expression that represents the price of the television set after the instant rebate is applied and before the tax is applied
We are given that an expression models the final price of television set with an instant rebate in a state that charges a sales tax.
0.07x+(x-300)
The sale tax in on the original price .
We have to find an expression that represents the price of the television set after the instant rebate is applied but before the tax is applied.
Let x be the original price of television.
Instant rebate is subtracted from original price x.
Then , the cost of the television set=x-300
In the given expression 0.07 x is sales tax. where tax is 7 % on the original price x.
Sales tax is added to the price of television set.
Hence, option C is true and answer is C x -300
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In the diagram below, the man on the diving board is 6 ft. tall and the angle of elevation from the man in the water (angle 4) to the man on the diving board is 40. How far apart are the two men? Round your answer to the nearest tenth.
A picture of a swimming pool with a lifeguard sitting on an elevated chair on the right side of the pool. There is a person on a diving board on the left side of the pool who is lower than the lifeguard. The lifeguard is looking down at the person on the diving board and there is a solid line showing his line of sight. A dotted line is drawn from the lifeguard’s eyes horizontally. The angle between these two lines is labeled 1.
The distance between the two men is 7.2 ft. That is, they are 7.2 ft apart
Calculating DistanceFrom the question, we are to determine the distance between the two men
Let the distance between the men be x
From the given information,
The man of the diving board is 6 ft tall
and
The angle of elevation from the man in the water to the man on the diving board is 40°
Considering the triangle formed, we can write that
Opposite = 6 ft
Adjacent = x
Angle = 40°
From SOH CAH TOA, we have that
tan (angle) = opposite / adjacent
∴ tan 40° = 6 / x
x = 6 / tan 40°
x ≈ 7.2 ft
Thus,
The men are 7.2 ft apart
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6x + 5x + 2y 11x + 2y 13xy : please explain please please
Answer:
22x + 4y + 13xy
Step-by-step explanation:
First, you add the like terms
(the terms that contain the same variable which is raised to the same power)
6x + 5x + 11x= 22x
2y + 2y = 4y
13xy
Then since nothing else shares the like terms you leave it as 22x + 4y + 13xy