The compound interest earned on an account with $700 invested at 4.5% for 2 years is $64.42.
What is compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
To calculate the compound interest earned, we use the formual below.
Formula:
I = A-PI = P(1+R/100)ⁿ-P............ Equation 1Where:
I = Compound interestP = PrincipalR = Raten = TimeFrom the question,
Given:
P = $700R = 4.5%n = 2 yearsSubstitute these values into equation 1
I = 700(1+4.5/100)²-700I = 764.42-700I = $64.42Hence, the compound interest earned is $64.42.
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. a bigger family suppose a couple will continue having children until they have at least two children of each sex (two boys and two girls). how many children might they expect to have?
Based on given details i would say a reasonable expectation would be about 6 children .
What is probability ?Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.
CalculationFor the question above, we will use probability.
after 4 children, there is 37.5% chance you have 2 boys/2 girls
after 5 children, there is 62.5% chance you have at least 2boys/2 girls
after 6 children, there is 78% chance you have at least 2boys/2 girls
after 8 children, there is 93% chance you have at least 2boys/2 girls ...
based on this i would say a reasonable expectation would be about 6 children
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What is the equation in standard form of the line that passes through the point (4, 3) and has a slope of 1/2?
Answer: y=1/2x+1
Step-by-step explanation:
Use the equation y=mx+b
Insert the points and slope: 3=1/2(4)+b
Simplify: 3=2+b
Simplify: 1=b
Final equation: y=1/2x+1
Combine Like Terms
) Which expression is equivalent to 12x - 10x + 4x - 2x²
A. 6x
B. 38x
C. 8x
D. 4x
what is the 4 digit number in which the first digit is one fifth of the last and the
second and third digits are the last digit multiplied by 2
Answer:
1,105
Step-by-step explanation:
since the first digit is 1/5 them the last digit it can only be 1 because if it was 2 then the last digit will be 10 which isn’t possible
So we know the last digit is 5 so we multiply by 2 to get the second and third digit of 10
Hopes this helps please mark brainliest
Help! I have the test due in 14 minutes!
Desmos graphing calculator is a life saver for questions like this
Answer:
option 3
Step-by-step explanation:
2x + 5y = 20
to bring this to a staffers equation with y on one side and everything else on the other, we see that we get a negative x term. that means the line goes down when going from left to right.
5y = -2x + 20
y = -2/5 x + 4
so, we also see that the y-intercept is 4.
so, option 3 is correct.
a hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. a sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. what is the sample variance? multiple choice 1.177 6.6 1.386 7.6
1.386 is the sample variance .
What does the standard deviation of the sample mean?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.Step 1:Add them up:
9.0 + 7.3 + 6.0 + 8.8 + 6.8 + 8.4 + 6.6 = 52.9
Step 2: Square your answer:
52.9 × 52.9 = 2798.41
…and divide by the number of items. We have 7 items in our example so:
2798.41 / 7 = 399.773
Set this number aside for a moment.
Step 3: Take your set of original numbers from Step 1, and square them individually this time:
9.0^2 + 7.3^2 + 6.0^2 + 8.8^2 + 6.8^2 + 8.4^2 + 6.6^2 = 408.09
Step 4: Subtract the amount in Step 2 from the amount in Step 3.
408.09 - 399.773 = 8.317
Set this number aside for a moment.
Step 5: Subtract 1 from the number of items in your data set. For our example:
7 – 1 = 6
Step 6: Divide the number in Step 4 by the number in.
This gives you the variance:
8.317/ 6 = 1.386
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Please help me with this question!!!
Answer:
Step-by-step explanation:
A formula that is used to find the time period of a cyclic phenomena based on the frequency as follows
T=1/f
f is frequency
We need to solve the formula for f in terms of T. Cross multiplying the above formula such that :
Therefore, this is the required explanation.
algebra 1 help please
The average rate of change of the function g(n) = 10(1.02)ⁿ is 0.25 inches/day.
What is average rate of change?The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing.
To calculate the average rate of change of the function g(n), we use the formula below.
Formula:
S = Δg(n)/Δn........... Equation 1Where:
S = Average rate of change of the function g(n)From the question,
Given:
n = 1 day, n = 5 daysg(n) = 10(1.02)ⁿg(1) = 10(1.02) = 10.2 inchesg(15) = 10(1.02)¹⁵= 13.46 inchesTherefore,
Δn = 15-1 = 14 daysΔg(n) = 13.46-10.2Δg(n) = 3.26 inchesSubstitute these values into equation 1
S = 3.26/14S = 0.25 inches/dayHence, the average rate of change is 0.25 inches/day.
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How many 1/3 cups are in 6 and 1/2 cup
what is the average rate of change of the function f(x) = 2(3)^x from x = 2 to x = 4?
Answer:
Step-by-step explanation:
72
Answer:
72
Step-by-step explanation:
The way to find the average rate of change between two points is to divide [tex]\frac{f(a)-f(b)}{a-b}[/tex].
1.) We plug the points into the formula. If you plug them in, you get [tex]\frac{2(3)^4-2(3)^2}{4-2}[/tex].
2.) Simplify. If we simplify, we get 3^4-3^2=72
Which expression represents the word phrase the product of 3 and 6 more than a number?.
Answer:
3*x+6
Step-by-step explanation:
formulate
3*x+6
An a recent year, person A and person B had the two top-grossing concert tours, together generating about $314 million in ticket sales. If person B took in $28 million less than person A, how much did each tour generate?
The amount generated by person A's tour is $___ million, and the amount generated by person B's tour is $___ million.
Taking into account the definition of a system of linear equations, the amount generated by person A's tour is $171 million, and the amount generated by person B's tour is $143 million.
System of linear equationsA system of linear equations is a set of linear equations that have more than one unknown, related by the aforementioned equations and whose objective is to find out their values.
Then, solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
This caseIn this case, a system of linear equations must be proposed taking into account that:
"A" is the amount generated by person A's tour."B" is the amount generated by person B's tour.You know:
Person A and person B had the two top-grossing concert tours, together generating about $314 million in ticket sales. Person B took in $28 million less than person A.The system of equations to be solved is
A + B= 314 million
B= A - 28 million
From the several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, substituting the second equation in the first one you get:
A + A - 28 million= 314 million
Solving:
A + A= 314 million + 28 million
2A= 342 million
A= 342 million÷ 2
A= 171 million
Substituting this value in the second equation:
B= A - 28 million
B= 171 million - 28 million
B= 143 million
Finally, the amount generated by person A's tour and B's tour is $171 million and $143 million respectively.
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simplify using only positive exponents
Answer:
8/x^3
Step-by-step explanation:
(2x^-1)^3
First, we must use the power-to-power rule to eliminate the double exponents. When a power is raised to a power, we must multiply them. This makes the exponent of x-3 and makes two into 8.
8x^-3
We can eliminate negative exponents by bringing their subject to the opposite side of the fraction line, so in this case, we bring down the x^-3 to the bottom, making it x^3. The final answer is:
8/x^3
consider the line y=7/3x-3
Find the equation in slope-intercept form of the line that is perpendicular to this line and passes through the point (-2, -3).
Equation of perpendicular
line:
Answer: 3x-3
Step-by-step explanation:
which of the following statements is true about a rational function of the form where g and h are polynomial functions?
The true statement about the function is that (c) the domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.
How to determine the true statement of the function f(x)?The complete question is added at the end of this solution
From the complete question, we have the following equation
f(x) = g(x)/h(x)
The above equation means that
The function f(x) is the quotient of the functions g(x) and h(x)
For the function f(x) to have real values, the function h(x) must not equal 0
i.e. h(x) ≠ 0
This is so because
A number or an expression divided by 0 is not a real number
Hence, the true statement is that the domain of f(x) consists of all values of x where h(x) does not equal 0.
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Complete question
which of the following statements is true about a rational function of the form where g and h are polynomial functions?
A. If the rational function has a removable discontinuity, then it cannot have a vertical asymptote. g(x)
B. The rational function f(x) h(x) will have a removable discontinuity at x = a if g(a) = 0. g(x)
C. The domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.
D. If the rational function has a removable discontinuity, then it cannot have a horizontal asymptote.
Which value completes the equation? 56 , 000 ÷ Choose... = 800
Answer: 44800000
Step-by-step explanation:56000 x 800=44800000
44800000÷56000=800
helppp!!! please asap!!!
The least common denominator for the rational expression is (x + 8) (x + 2) (x - 1)
What is LCD in Rational Expression ?
The denominators' smallest common multiple is called the LCD. We factor the expressions and multiply each unique factor to obtain the LCD of two rational expressions.
The given expression is,
(x + 2) / (x² + 7x - 8) , (x - 6) / (x² +10x + 16)
Let,
(x + 2) / (x² + 7x - 8) --------eq(i)
(x - 6) / (x² +10x + 16) ----------- eq(ii)
First take the denominator of eq(i)
The denominator is = x² + 7x - 8
We know, this is quadratic equation so just solve this equation
⇒ x² + 8x - x - 8
⇒ x(x + 8) - 1(x + 8)
⇒ (x - 1) (x + 8)
Next, take the denominator of eq(ii)
The denominator is = x² + 10x + 16
And, this is also a quadratic equation so the factors are,
⇒ x² + 8x + 2x + 16
⇒ x(x + 8) + 2(x + 8)
⇒ (x + 2) (x + 8)
So, after solving both the denominators we get the factors ,
(x - 1) (x + 8) and (x + 2) (x + 8)
As, we see (x + 8) is common just write it once and else terms write as it is,
LCD = (x + 8) (x - 1) (x + 2)
Therefore, the least common denominator for the rational expression is (x + 8) (x + 2) (x - 1)
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Which point is a solution to the linear inequality y < negative one-halfx 2? (2, 3) (2, 1) (3, –2) (–1, 3)
The solution to the linear inequality is (2, 1).
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. These figures are referred to as the equation or inequality's solutions. A set of such values is called a solution set to the considered equation or inequality.
we have given that the linear inequality y < Negative one-half + 2
y < - 1x/2 + 2
The solution of the inequality is the shaded area below the dashed line;
y = - 1x/2 + 2
The slope of the dashed line is negative 1/2.
The y-intercept of the dashed line is the point (0,2) and the x-intercept of the dashed line is the point (4,0).
Noted that Any point that lies on the shaded area is a solution to the inequality and if a point is a solution to the linear inequality, then the point must satisfy the inequality.
The complete question is : Which point is a solution to the linear inequality y < Negative one-halfx + 2? (2, 3) (2, 1) (3, –2) (–1, 3)
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Answer:(3,-2)
Step-by-step explanation: edge 2022
1. What are the different methods you can use to find the vertex of a parabola?
2. How can the axis of symmetry formula be used to find the minimum and maximum values?
3. Use the quadratic formula to find the solutions to ^2 + 3 = 2 − 2.
The vertex of your parabola lies at those two coordinates .The axis of symmetry, x is 1, was already discovered.
1. What are the different methods use to find the vertex of a parabola?To locate a parabola's vertex, you must first determine x (or y, if your parabola is sideways) using the axis of symmetry formula. The quadratic equation will then be used to solve for y (or x, if your parabola opens to the side) using that value. The vertex of your parabola lies at those two coordinates.
2. How do you find the maximum or minimum value of axis of symmetry?The axis of symmetry is shown as a line, hence x=1. Since it is the highest or lowest point of the parabola, the vertex of a quadratic equation also serves as its maximum and minimum. We need to do a few things in order to locate the vertex: The axis of symmetry, x=1, was already discovered.
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ten standard 6-sided dice all have different colors. in how many ways can these dice be rolled so the numbers on the faces sum to a total of 20?
The total number of ways can these dice be rolled so the numbers on the faces sum to a total of 20 is 300
The number of ways of partitioning 20 into exactly 10 distinct parts with the 6 numbers {1,2,3,4,5,6} we have:
30 partitions of 20 into ten distinct parts.
The 30 distinct partitions with the sum 20 are:
1.) {2,2,2,2,2,2,2,2,2,2}
2.) {1,2,2,2,2,2,2,2,2,3}
3.) {1,1,2,2,2,2,2,2,3,3}
4.) {1,1,2,2,2,2,2,2,2,4}
5.) {1,1,1,2,2,2,2,3,3,3}
6.) {1,1,1,2,2,2,2,2,3,4}
7.) {1,1,1,2,2,2,2,2,2,5}
8.) {1,1,1,1,2,2,3,3,3,3}
9.) {1,1,1,1,2,2,2,3,3,4}
10.) {1,1,1,1,2,2,2,2,4,4}
11.) {1,1,1,1,2,2,2,2,3,5}
12.) {1,1,1,1,2,2,2,2,2,6}
13.) {1,1,1,1,1,3,3,3,3,3}
14.) {1,1,1,1,1,2,3,3,3,4}
15.) {1,1,1,1,1,2,2,3,4,4}
16.) {1,1,1,1,1,2,2,3,3,5}
17.) {1,1,1,1,1,2,2,2,4,5}
18.) {1,1,1,1,1,2,2,2,3,6}
19.) {1,1,1,1,1,1,3,3,4,4}
20.) {1,1,1,1,1,1,3,3,3,5}
21.) {1,1,1,1,1,1,2,4,4,4}
22.) {1,1,1,1,1,1,2,3,4,5}
23.) {1,1,1,1,1,1,2,3,3,6}
24.) {1,1,1,1,1,1,2,2,5,5}
25.) {1,1,1,1,1,1,2,2,4,6}
26.) {1,1,1,1,1,1,1,4,4,5}
27.) {1,1,1,1,1,1,1,3,5,5}
28.) {1,1,1,1,1,1,1,3,4,6}
29.) {1,1,1,1,1,1,1,2,5,6}
30.) {1,1,1,1,1,1,1,1,6,6}
These pairs can be arranged each in 10 ways.
Therefore, 10× 30
= 300
Hence the number of partitions is 300.
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The numbers 1 to 5 are written on separate slips of paper and put into a hat. The hat is given a good shake before the number is drawn from it.
Calculate the probability that an even number is drawn
Answer:
2 in 5 or 40%
Step-by-step explanation:
55 POINTS !!!
1. Anwer the following quetion. Quetion
What i an amount between $2 and $10? (A) __________
What i an amount between $10 and $20? (B) __________
What i an amount greater than $50? (C) __________
What i your name? (D) ____________
What i the name of an item that you will buy only once? (E) ____________
What i the name of an item that you will buy more than once? (F) ____________
The amount between $2 and $10 wiill be: (A) $8, (B) $10, (C) $50 - ∞ , (D) Khushboo ,(E) Real fruit, (F) Chips
What I an amount between $2 and $10? (A) $8
What I an amount between $10 and $20? (B) $10
What I an amount greater than $50? (C) $50 - ∞
What I your name? (D) Khushboo
What I the name of an item that you will buy only once? (E) Real fruit
What I the name of an item that you will buy more than once? (F) Chips
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help meeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a: 147.7 in thousands
b: 467.8 in thousands
Step-by-step explanation:
y=123.1(1.069)^x, after 1998 1 year per each.
a. solve for the number of students in 2001.
okay, so there is already the equation given, so we just have to put the right number in the x.
it says x represents the number of years after 1998;
then it means we should add the number we added in years to zero for x
(if I didn't get it wrong).
so if x is 1 in 1999, in 2001 it is 3.
let's put 3 in the equation: y=123.1(1.069)^3 -> y=123.1*1.2 -> y=147.7
answer for a: the number of students in 2001 is 147.7 in thousands.
b. solve for the number of students in 2018.
add the number you added in years to zero in order to solve x.
1998+20=2018,
0+20=20;
y=123.1(1.069)^20 -> y=123.1*3.8 -> y=467.8
answer for b: the number of students in 2018 is 467.8 in thousands.
Triangle ABC is drawn with AB = 3.6 units. BC = 4.2 units, and BCA = 28°. The measure of
LABC is
As per the law of sine, the value of ∠ABC is 13°
Law of sine:
In math, the law of sine refers the relationship between the sides and angles of non-right (oblique) triangles.
Given,
Triangle ABC is drawn with AB = 3.6 units. BC = 4.2 units, and BCA = 28°. Here we need to find the measure of ∠ABC.
According to the law of sine, the given measures of the given triangle are written as,
=> sin 28°/4.2 = sin x°/3.6
Apply the value of sin 28° = 0.27, then we get,
=> 0.27/4.2 = sin x/3.6
=> 0.972/4.2 = sin x
=> sin x = 0.2314
=> x = sin⁻¹(0.2314)
=> x = 13°
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how much money would i have to make every week to get to 175 in 2 months?
What is the equation of the line that passes through the point (8,6) and has a slope of 1/4?
Answer:
y=1/4x+4
Step-by-step explanation:
because the slope is 1/4
so k=1/4
y=1/4x+b
put the point into the equation
so
6=1/4*8+b
so
b=4
What is the answer to this question
Answer: A
Step-by-step explanation: hope this helps!
please give brainliest!
Answer:
A. Michael must get a degree in engineering LOLLLLL
The graph and the table show the total costs of two different summer programs, y, as the function of the number of classes, x on iready
Answer: When the number of classes is 1 or 2, fishing is less expensive.
When the number of classes is 3 or 4, canoeing is less expensive.
Step-by-step explanation:
Two fishing classes are less than two canoeing classes; three or four canoeing classes are than three or four fishing classes.
the area of a rectangle is 257 1/4 in and the length is 10 1/2 in what is the width
For the given rectangle, the area for given rectangle is 257 1/4 in. and length of a rectangle is 10 1/2 in. then its width is given by 24 1/2 in.
As given in the question,
For the given rectangle,
Area of a given rectangle is equal to 257 1/4 in.
length of a given rectangle is 10 1/2 in.
Let w be the width of a rectangle we have,
Area of a rectangle = length × width
257 1/4 = 10 1/2 × w
Convert mixed fraction into proper fraction we get,
(1029 /4) = (21/2) × w
⇒ w = (1029 ×2) / (21 × 4)
⇒ w = 49 /2
⇒ w = 24 1/2 in.
Therefore, for the given rectangle, the area for given rectangle is 257 1/4 in. and length of a rectangle is 10 1/2 in. then its width is given by 24 1/2 in.
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Can someone help me I need the answer fast plsss
Answer: The volume of the sculpture is approximately 14 894 m3
Explanation v=lwh
v=(29)(33)(15)
v=14366
formula for the volume of a right cylinder.
The radius
r=1/2(7m)
r=3.5m
v=3.14(r)^2h
v=3.14*(3.5)^2(14)
v=538
The volume of the sculpture is:
14355+538
which is eq to 14893
q 2 .....
The surface area of the sculpture is approximately 4082 m2