Althea will have a $4625.32 compound amount in the account in 8 years.
What is compound interest?
The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. Compound interest is computed as interest on the initial principal plus any accrued interest from prior periods.
Given,
Principal (P) = $3,500
rate of interest (r) =3.5% = 0.035
for compounded quarterly (n) = 4
time (t) = 8 years
The compound amount is given by
[tex]A = P(1+\frac{r}{n})^{nt}\\A = 3500(1+\frac{0.035}{4})^{4*8}[/tex]
A = 4625.32
Hence, Althea will have $4625.32 in the account in 8 years.
To learn more about compound interest
https://brainly.com/question/3989769
#SPJ1
PLEASE HELP ILL GIVE BRAINLIEST use the similar triangles as a guild to find the slope of the line
Answer:
Slope is 1, since we use rise over run which is expressed as 1/1
The price of the shirt was $38. It was reduced by 20% and then again by 10%.
Answer:$26.6
Step-by-step explanation:
Answer:
= 26.6
Step-by-step explanation:
38 * 20/100 = 38 *1/5 = 7.6
38 - 7.6 = 30.4
38 * 10/100 = 38 *1/10 = 3.8
30.4 - 3.8 = 26.6
statistical measures that communicate the most information should be used with scales that contain the most information. true false
True , statistical measures that communicate the most information should be used with scales that contain the most information.
Given :
statistical measures that communicate the most information should be used with scales that contain the most information. true or false .
we know that ,
What is statistical measures ?
The mean, median, mode, percentiles, range, variance, and standard deviation are the most commonly used numerical measures for quantitative data.
So the statistical measures that must communicate the most information should be used with scales that contain the most information for knowing the details of the given data .
Learn more about the measures here:
https://brainly.com/question/12020266
#SPJ4
Five times a number decreased by 2 is 4, find the number.
Answer: x= 6/5
Step-by-step explanation:
Let an unknown number be x
5x - 2 = 4
5x = 6
x= 6/5
If you can, please give me a Brainliest; thank you!
The sales tax rate is 4.315% for the city and 4% for the state. Find the total amount paid for 2 boxes of chocolates at $17.07 each.
PLS HELP ME
Answer: $18.49
Step-by-step explanation:
First, add both the tax rate, 4.315 + 4 = 8.315%
Then take 17.07 divided by 100%, then times 8.315% = $1.42
Then add 17.07 + 1.42 = $18.49
50 PTS Determine if you can use the hypotenuse-leg congruency property to prove the triangles are congruent.
A. No, the hypotenuse-leg congruence property cannot be applied, because we don't know if a leg of one triangle is congruent to a leg of the other triangle.
B. No, the hypotenuse-leg congruence property cannot be applied, because we don't know if the hypotenuses are congruent.
C. Yes, the hypotenuse-leg congruence property can be applied.
D. No, the hypotenuse-leg congruence property cannot be applied, because we don't know if the triangles are right triangles.
The radius of a circle is 4.5 cm. Find the circumference
to the nearest tenth
Answer: C≈28.27cm
Step-by-step explanation:
C=2πr=2·π·4.5≈28.27433cm
Answer:
28.3 cm
Step-by-step explanation:
You want the circumference of a circle with radius 4.5 cm.
CircumferenceThe circumference of a circle is given by ...
C = 2πr
For the given circle, the circumference is ...
C = 2π(4.5 cm) = 9π cm ≈ 28.3 cm
The circumference is about 28.3 cm.
<95141404393>
Help Pleaseee ONLY CORRECT ANSWERSS> I WILL GIVE BRAINIEST.
Answer:
16[tex]\pi[/tex]
Step-by-step explanation:
Area = [tex]\frac{\pi r^{2} }{4}[/tex] It is only 1/4 of a circle so we have to divide by 4
a = [tex]\frac{8^{2}\pi }{4}[/tex]
a = 16[tex]\pi[/tex]
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The three (3) statements which are true include the following:
A. The radius of the circle is 3 units.
B. The center of the circle lies on the x-axis.
D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the equation of a circle?Mathematically, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r² ....equation 1.
Where:
h and k represents the coordinates at the center of a circle.
r represents the radius of a circle.
From the information provided, we have the following equation of a circle:
x² + y² – 2x – 8 = 0 ......equation 2.
In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:
x² – 2x + y² = 8 = 0
x² – 2x + (2/2)² + y² = 8 + (2/2)²
x² – 2x + 1 + y² = 8 + 1
(x – 1)² + (y - 0)² = 9 .......equation 3.
Comparing equation 1 and equation 3, we have the following:
Center (h, k) = (1, 0)
Radius, r = 3
Additionally, this line and the circle's center lies on the x-axis because the y-value is equal to zero (0).
(x – 0)² + (y - 0)² = 3²
x² + y² = 9.
Read more on equation of a circle here: brainly.com/question/17028215
#SPJ1
for both anorexia and bulimia, the rate of occurrence in females compared to in males is about: group of answer choices equal 10 to 1 5 to 1 2 to 1
Both Anorexia and Bulimia the rate of occurrence is high in females as compare to males so the choice is female to male ratio is 12 to 1.
Eating disorder of Anorexia nervosa and Bulimia nervosa is more common in women as compare to men due to dieting habits.Patient suffering from Bulimia nervosa eat in such a way that it implies to lose weight and prevent him ' her from weight gain.Anorexia nervosa patients used to follow restrictive diets and apply lots of restrictions in consumption of their food. Males are more into muscles making so they consume food in good quantity very less percent of males are into diet restriction .Rate of occurrence in both the case anorexia and bulimia in females sufferer is more compare to males.Correct option is ratio female to male is 12 to 1.Therefore, the rate of occurrence in females is much more than the males. Correct option is 12 to 1.
Learn more about rate of occurrence here
brainly.com/question/29991817
#SPJ4
Workers install 480 chairs at a constant rate. After 3 days, the workers still have to install 120 chairs. How much time does it take to install the chairs from start to finish?
The 480 chairs were all finished by the employees in 4 days while maintaining a steady pace.
What is time and work?Time and work deals with the time taken by an individual or a group of individuals to complete a piece of work and the efficiency of the work done by each of them.
Work Done = Time Taken × Rate of Work.
Rate of Work = 1 / Time Taken.
Time Taken = 1 / Rate of Work.
If a piece of work is done in x number of days, then the work done in one day = 1/x.
Total Work Done = Number of Days × Efficiency.
Here,
Total number of chairs=480
Chairs left to work on=120
It took them 3 days to install 360 chairs which means if they were working at a constant rate they got 120 chairs installed daily.
With 120 chairs left that means in 1 days they will finish.
So overall, it took the workers 4 days to finish.
The workers took 4 days to complete all the 480 chairs from start to finish at a constant rate.
To know more about time and work,
https://brainly.com/question/3854047
#SPJ4
2. (6) The probability distribution below is for the random variable X = number of mice
caught in traps during a single night in small apartment building.
a. Find P(X = 2)
0
X
P(X) 0.12
1
0.20
2
h
3
4
0.14 0.16
b. Describe P(X ≥ 2)in words and find its value.
5
0.07
c. Find μx and ox. Show work. You may use your calculator to check solutions.
The probabilities are P(X = 2) = 0.14 and P(X ≥ 2) = 0.30
The mean and the standard deviation are 0.96 and 0.90
How to determine the probabilitiesP(x = 2)
From the question, we have the following parameters that can be used in our computation:
X 0 1 2 3
P(X) 0.12 0.20 0.14 0.16
From the above table, we have
P(X = 2) = 0.14
P(x ≥ 2)
From the question, we have the following parameters that can be used in our computation:
X 0 1 2 3
P(X) 0.12 0.20 0.14 0.16
From the above table, we have
P(X ≥ 2) = P(2) + P(3)
Substitute the known values in the above equation, so, we have the following representation
P(X ≥ 2) = 0.14 + 0.16
Evaluate the sum
P(X ≥ 2) = 0.30
The mean and the standard deviationThe mean is calculated as
μx = sum of the products of x and P(x)
So, we have
μx = 0 * 0.12 + 1 *0.20 + 2 * 0.14 + 3 * 0.16
Evaluate
μx = 0.96
The standard deviation is calculated as
ox = the square root of sum of the products of x and P(x) * (1 - P(x)
So, we have
ox = √[(0 * 0.12 * 0.88) + (1 * 0.20 * 0.80) + (2 * 0.14 * 0.86) + (3 * 0.16 * 0.84)]
Evaluate
ox = 0.90
Hence, the standard deviation is 0.90
Read more about probability at
https://brainly.com/question/251701
#SPJ1
Sarah pent 30 minute practicing her pelling word. She pent 3 time a much time reading. How many minute did Sarah pend reading?
Sarah completed reading for x = 18 minutes.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
According to our question
The number of pages Sarah will read in an hour is x. (this is "pages per hour" rate).
(10 minutes) / (3 pages) = (x pages) / (60 minutes)
cross-multiply:
10x = 3*60
x = 18
Hence, Sarah completed reading for x = 18 minutes.
learn more about unitary method click here:
brainly.com/question/24587372
#SPJ4
help pretty please :)
Answer: B
Step-by-step explanation:
a pianist plans to play 3 pieces at a recital from her repertoire of 23 pieces, and is carefully considering which song to play first, second, etc. to create a good flow. how many different recital programs are possible?
Answer:
10626 different recital programs possible
Step-by-step explanation:
Since there is no repetition we can tackle this problem in the following manner.
Out of the 23 pieces, the pianist can choose the first one in 23 ways
Out of the remaining 22 pieces she can choose the second one in 22 different ways
Out of the remaining 21 pieces she can choose the third one in 21 different ways
So total number of ways in which 3 pieces can be played without repetition is 23 x 22 x 21 = 10,626 ways
There is a formula for this kind of situation
If there are a total of n items and you want to choose r items from this, the number of possible ways to do this without repetition is given by the formula
[tex]_{n}P_{r} = \dfrac{n!}{(n-r)!}[/tex]
In this case, n = 23, r = 3 so we get
[tex]_{23}P_{3} = \dfrac{23!}{(23-3)!} = \dfrac{23!}{20!} = 23 \times 22 \times 21 = 10626[/tex]
Same as the above
8. Larissa plans to bake at
most 10 loaves of bread.
She makes x loaves of banana bread that sell for
$1.25 each and y loaves of nut bread that sell for
$1.50 each. She hopes to make at least $24 in sales.
Write and graph a system of inequalities for this
situation. What does the
graph show?
The system of inequalities is:
x + y ≤ 10
x*$1.25 + y*$1.50 ≥ $24
And the graph can be seen below, on the graph, we can see that there are no solutions.
How to write and graph a system of inequalities?So we need to start by defining the variables we will be using, these are:
x = number of loaves of banana bread.y = number of loaves of nut bread.First, we know that Larissa wants to make at most 10 loaves of bread, then we can start with the inequality:
x + y ≤ 10
We also know that each banana bread sells for $1.25 and each but bread sells for $1.50, and she wants to make at least $24, then:
x*$1.25 + y*$1.50 ≥ $24
So the system of inequalities is:
x + y ≤ 10
x*$1.25 + y*$1.50 ≥ $24
So to graph these inequalities, we need to shade the region abovce the first line:
x + y = 10
and below the second line:
1.25*x + 1.50*x = 24
The graph of that system of inequalities can be seen below. The graph shows that the system has no real solutions (only has solutions for negative values of x).
Learn more about system of inequalities:
https://brainly.com/question/9774970
#SPJ1
A line passes through (−1, 5) and (1, 3).
Which answer is the equation of the line? PLEASE HELP
Hi y’all i’m so lost, please help
Answer:
108
324
12
and 54
Step-by-step explanation:
Tyshawn has a quarters and y dimes, having at most 22 coins worth no less than
$3.40 combined. At most 16 of the coins are quarters and a maximum of 6 of the
coins are dimes. Solve this system of inequalities graphically and determine one
possible solution.
Answer: To solve this system of inequalities graphically, we can plot the two inequalities on the same coordinate plane and find the region where they overlap.
First, let's consider the inequality that states that Tyshawn has at most 22 coins worth no less than $3.40 combined. We can represent this inequality as follows:
Quarters * $0.25 + Dimes * $0.10 ≥ $3.40
Next, we can consider the inequality that states that at most 16 of the coins are quarters. We can represent this inequality as follows:
Quarters ≤ 16
Finally, we can consider the inequality that states that a maximum of 6 of the coins are dimes. We can represent this inequality as follows:
Dimes ≤ 6
To solve the system of inequalities graphically, we can plot the three inequalities on the same coordinate plane and find the region where they overlap. The region where the three inequalities overlap represents all of the possible values of Quarters and Dimes that satisfy all three inequalities.
One possible solution to the system of inequalities is (Quarters = 12, Dimes = 10). This solution satisfies all three inequalities and is represented by a point within the region where the three inequalities overlap on the coordinate plane.
A laptop computer i purchaed for. Each year, it value i $1500 of it value 75% the year before. After how many year will the laptop computer be worth $200 or le
After 7 years the laptop computer will be worth $200 or less.
In this question, we have been given a laptop computer is purchased for $1500 . Each year, its value is 75% of its value the year before.
We need to find the number of years when laptop computer be worth $200 or less.
We can see that given situation represents exponential decay function with initial value 1500, decay rate = 0.75 and the final value = 200
We need to find period t.
For given situation we get an exponential function as,
1500 * (0.75)^t ≤ 200
(0.75)^t ≤ 2/15
t * ln(0.75) ≤ ln(2/15)
t * (-0.2877) ≤ -2.0149
t ≥ (-2.0149)/(-0.2877)
t ≥ 7
Therefore, the laptop computer will be worth $200 or less after 7 years.
Learn more about exponential function here:
https://brainly.com/question/14355665
#SPJ4
Which statements are not true and true?
statement 1: the sum of two negative integers is positive
Statement 2: the product of two negative integers is positive
Statement 3: the difference of two negative integers is positive
Statement 4: the quotient of two negative integers is positive
For both statements that are not true at all, provide one counter example for each statement that proves the statement can be false.
Answer: Statements 1, 3, and 4 are not true. The sum, difference, and quotient of two negative integers can be positive, negative, or zero, depending on the values of the two integers. For example, the sum of -5 and -7 is -12, which is a negative number. The difference of -5 and -7 is 2, which is a positive number. The quotient of -5 and -7 is -0.7142857142857143, which is a negative number.
Only statement 2 is true. The product of two negative integers is always a positive number. For example, the product of -5 and -7 is 35, which is a positive number. This is because the two negative signs "cancel out" when multiplying two numbers, resulting in a positive product.
im kinda confused of a question right now, i have to find the median and there are 2 numbers in the middle, and i think you add the 2 numbers in the middle and turn it into a fraction right? but do you always put the denominator as 2?
Answer:
Yes, you take the average value of the two numbers in the middle.
Step-by-step explanation:
Since there are TWO middle values, you always put 2 as a denominator.
Tom has a total of $220 and he spent $35 on a baseball ticket. What percent of his money did he have left
Answer:
He has $185 left
Step-by-step explanation:
Subtract $220 from how much he spent
for fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ......... as the margin of error increases.
As per the concept of margin of error, the standard deviation increases as the margin of error increases.
The term margin of error is referred as the estimate of a small sample drawn from a relatively large population data.
Here the margin of error is usually governed by parameters such as standard deviation of population, sample size and desired confidence level.
Here we have given that for fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ......... as the margin of error increases.
And we need to find the missing term in the statement.
Here let us consider that the following values are represented the given situation,
=> σ = Standard deviation for population
=> m = Margin of error
=> Z = Empirical value of Z-score at a given confidence level
Then the minimum sample size for a given confidence level is written as
=> (Z x σ)²/m²
Here from the above given formula it can be inferred that the minimum sample size is directly related to the population standard deviation. Therefore, the minimum sample size required would increase with the increase in population standard deviation.
To know more about Margin of error here.
https://brainly.com/question/29101642
#SPJ4
how do i comeplete this equation using substitution?
The solution to the equations using the substitution method is x = - 2 and y = 0
What are the solutions?The two equations given are known as system of equations. The equations have to be solved simultaneously to determine the required values.
y = 6x + 12 equation 1
y = 4x + 8 equation 2
Equate equation 1 and equation 2 together
6x + 12 = 4x + 8
6x - 4x = 8 - 12
2x = -4
x = -4 / 2
x = -2
Substitute for x in equation 1:
y = 4(-2) + 8
y = -8 + 8
Y = 0
To learn more about system of equations, please check: https://brainly.com/question/25875552
#SPJ1
Fill in the gaps to factorise this expression.
p² - 36 = (p+_) (p − −)
Answer:
Step-by-step explanation:
wait
The parabola y=x^2 i reflected acro the x-axi and then caled vertically by a factor of 1/8. What i the equation of the new parabola?
The equation of the parabola will be y = -1/8[tex]x^{2}[/tex].
What is parabola?A right circular cone and a plane perpendicular to one of the cone's elements cross to form a parabola, also known as an open curve.
Y = a(x - h)2 + k or x = a(y - k)2 + h is the general equation of a parabola. The vertex is shown here as (h, k).
The parabola's y= value is provided to us.
When we mirror this parabola along the x-axis, we scale the resulting image vertically by a factor of 1/8.
Then we get y = -1/8[tex]x^{2}[/tex]
To know more about parabola check the link:
brainly.com/question/21685473
#SPJ4
Reduce -15/-3 to the standard form
Answer:
5 x 10⁰
Step-by-step explanation:
-15 / -3 = 5
5 in standard form is 5 x 10⁰
Answer: 5
Step-by-step explanation:
-15/-3
negative signs cancel out each other to make positive
⇒15/3
⇒5/1
⇒5 answer.
hope that helps...
A line has a slope of –20/11 and passes through the point (0, –2) What is its equation in slope intercept form?
It takes one machine 25 minutes to pick a bale of cotton, and another machine takes 30 minutes to compete the same job. If both machines are used, how long will it take them to pick a bale of cotton?
Answer:
Hi i'm wondering how to find the answer the answer is 3 over 2 (2k-8) > 1 over 3(k-9)