The associative property of (p+7) + 9 = p+(7 + 9) so that both the sides equals p + 16.
What is associative property?The associative property is a property of binary operations, which are operations that involve two elements. It states that the way we group the elements in an operation does not affect the result of the operation.
For any three elements a, b, and c in a set, and a binary operation *, the associative property states that:
(a * b) * c = a * (b * c)
Addition and multiplication are associative operations.
(a + b) + c = a + (b + c) and (a * b) * c = a * (b * c)
According to the given information:The associative property of addition states that when adding three or more numbers, the way we group them does not affect the sum. More formally, for any three numbers a, b, and c, the associative property of addition can be written as:
(a + b) + c = a + (b + c)
In the case of (p+7) + 9, we can apply the associative property of addition as follows:
[(p+7) + 9] = p + (7 + 9)
p + 16 = p + 16
Here, we have grouped the numbers 7 and 9 together and added them first, and then added the result to p. This gives us the same sum as if we had added p and 7 first and then added 9 to the result.
Therefore, the associative property of addition tells us that we can add (p+7) and 9 in any order or group them differently, and still get the same result (p+16).
To know more about Associative property visit:
https://brainly.com/question/30111262
#SPJ1
1.- Un activo tiene un valor de contado de $5.000.000 fue adquirido a crédito
mediante las siguientes condiciones:
• Cuota inicial $500.000
El saldo debe ser cancelado mediante dos (2) cuotas, la primera cuota
en el mes 3 por $1.000.000 y segunda cuota en el mes nueve (9)
• Financiación 26% capitalizable trimestralmente
Hallar el valor cancelado en la segunda cuota
The value canceled in the second installment is $4,279,322.14.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To find the value canceled in the second installment, we need to determine the total amount owed at the beginning of the ninth month, and then subtract the first installment paid in the third month.
Let's start by finding the total amount owed at the beginning of the ninth month, using the given financing conditions.
The initial fee of $500,000 is not subject to financing, so we can exclude it from our calculations.
The amount financed is the remaining balance, which is:
$5,000,000 - $500,000 = $4,500,000
The financing rate is 26% capitalizable quarterly, which means that each quarter, the amount owed increases by 26% of the previous balance.
Since there are two quarters between month 3 and month 9, the amount owed at the beginning of month 9 is:
$4,500,000 × (1 + 0.26/4)^2 = $5,279,322.14
Next, we subtract the first installment of $1,000,000 paid in the third month:
$5,279,322.14 - $1,000,000 = $4,279,322.14
Therefore,
The value canceled in the second installment is $4,279,322.14.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
The complete question.
An asset with a cash value of $5,000,000 was purchased on credit.
through the following conditions:
• Initial fee $500,000
The balance must be paid in two (2) installments, the first installment
in month 3 for $1,000,000 and second installment in month nine (9)
• Financing 26% capitalizable quarterly
Find the value canceled in the second installment
Calculate the perimeter of this shape.
Answer: 52.8 m
Step-by-step explanation:
What you want to try to do when you come across these shapes is to think about it as two different shapes instead of one. The bigger rectangle should have a perimeter of 31 (12.3+12.3+3.2+3.2). Now for the bottom rectangle, you have to solve for one of the side lengths. Subtract 3.2 from 8.6 (as 3.2 is already being used by the top rectangle's perimeter) to get 5.4. The perimeter of the smaller rectangle should be 21.8 (5.5+5.5+5.4+5.4). Now add 31+21.8 to get 52.8 and that should be the total perimeter of your shape. :)
If y varies inversely as X and y=16 when X=4,find y when X=32
[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2[/tex]
Find area of the shaded region.
The area of the shaded region of the composite figure is 389 square units.
What is area of composite figure?A geometric shape made up of two or more simpler shapes is known as a composite figure. You must divide a composite figure into simpler shapes and then add up each shape's unique regions to determine the composite figure's area.
The methods you can take to determine a composite figure's area are as follows: Slice up the composite figure into more basic forms. You can separate the composite figure into its component parts, for instance, if it is made up of a rectangle and a triangle.
Calculate the area of each shape separately.
The total area of the composite figure can be calculated by adding the areas of all the simpler shapes.
The shaded region can be divided into a rectangle and a triangle.
The area of the rectangle with l = 19 and w = 17 is:
Area = length x width = 17 x 19 = 323 square units
Now, the dimensions of the triangle are:
base = 17 - 6 = 11
height = 31 - 19 = 12
Thus,
Area = (base x height) / 2 = (11 x 12) / 2 = 66 square units
Now, the total area of the shaded portion is:
Area = 323 + 66 = 389 square units.
Hence, the area of the shaded region of the composite figure is 389 square units.
Learn more about composite figure here:
https://brainly.com/question/27234680
#SPJ1
Help me please help me I really need to knowwhat order
The ascending order of the fraction is 70/11, 51/8, 62/7, 85/9.
What is ascending order?Ascending order is a method of arranging numbers from smallest value to largest value.
For example, arranging , 3,1,2,5,6,8,4 in ascending order, we start from the least, which is 1 and ends with the greatest which is 8 i.e 1,2,3,4,5,6,8
To actually know the least and the greatest we will have find the value of each fraction.
62/7 = 8.86
51/8 = 6.38
85/9 = 9.44
70/11 = 6.36
Therefore , with the values found the arrangement from least to the greatest is
70/11, 51/8, 62/7, 85/9
learn more about ascending order from
https://brainly.com/question/24299432
#SPJ1
help plsss
rotate tuv 90 degrees clockwise around the origin
Answer: T'=(-1,-1), U'=(-3,-1), V'=(-1,-4)
Step-by-step explanation:
Ms. Thomspon needs 15/2 yards of red fabric and 7 1/2 yards of silver fabric. which comparison is true.
Step-by-step explanation:
To compare the two amounts of fabric, we need to express them with a common denominator:
15/2 = 30/4
7 1/2 = 15/2
Now we can compare the two amounts:
30/4 > 15/2
This is true because 30/4 is equal to 7.5 yards, which is greater than 7.5 yards (or 15/2 yards) of silver fabric.
Therefore, Ms. Thompson needs more red fabric than silver fabric.
The circle below is centered at the origin, and the length of its radius is 3. Write the equation for the circle.
Answer: $x^2+y^2=9$
Step-by-step explanation:
A circle is the locus of points such that its distance from its center is constant. In our case, we have that the center of the circle is the origin, while the radius is 3. Thus, by the Pythagorean Theorem, the equation of the circle is $x^2+y^2=3^2=9$.
3.75 +9.25-(-4.75*0.5-0.2*2-3)
Answer:
-7.225 according to a calculator.
Terrence had some problems to complete for math homework. He completed six problem as shown in the diagram which represented 40% of the problem he had to do in all.How many problems does he have altogether for homework?
After answering the presented questiοn, we can cοnclude that equatiοn Therefοre, Terrence had 150 prοblems altοgether fοr his math hοmewοrk.
What is equatiοn?A mathematical equatiοn is a fοrmula that cοnnects twο statements and denοtes equivalence with the equals symbοl (=). An equatiοn is a mathematical statement that shοws the equality οf twο mathematical expressiοns in algebra. In the equatiοn 3x + 5 = 14, fοr example, the equal sign separates the variables 3x + 5 and 14.
A mathematical fοrmula describes the cοnnectiοn between the twο sentences that οccur οn οppοsite sides οf a letter. The symbοl and the single variable are frequently the same. As in 2x - 4 Equals 2, fοr instance.
6 is tο 40% as X is tο 100%
Therefοre, Terrence had 150 prοblems altοgether fοr his math hοmewοrk.
To know more about equation visit:
brainly.com/question/649785
#SPJ1
it is known that the average IQ of the population of adults is 100. A sample of 50 college students has an average IQ of 108. The probability of this difference being caused by random chance is 1/1000. Are these results statistically significant?
Options:
no, because the results are likely to occur by chance
no, because the results are unlikely to occur by chance
yes, because the results are likely to occur by chance
yes, because the results are unlikely to occur by chance.
Answer:
yes, because the results are unlikely to occur by chance
Step-by-step explanation:
1/1000 is converted to 10% as a decimal. That's like saying for everyone 1000 people, at least one of the can be this "random chance". The smaller the general population is, the higher the affect this percentage has on that group. If the population is lower, than there might be more of a chance that it'll occur but also because there's a smaller population, there's less variety.
WILL MARK BRAINLIEST ANSWER ASAP
which choice is equivalent to the product below when x is >or equal to 0
Answer:
here is ur answer....OPTION "D"
Step-by-step explanation:
Rewrite in simplest terms: 5(-C - c - 1) - 4c
Answer:
- 14c - 5
Step-by-step explanation:
5(- c- c - 1) - 4c ← distribute parenthesis by 5
= - 5c - 5c - 5 - 4c ← collect like terms
= - 14c - 5
The ratio of apples to oranges in a fruit salad is3:2. How many kilograms of apples and oranges are there in a salad of 3 kgs?
Let x be the number of kilograms of apples in the fruit salad.
Then, the number of kilograms of oranges is (2/3)x, because the ratio of apples to oranges is 3:2.
The total weight of fruit salad is 3 kgs, so we can write an equation:
x + (2/3)x = 3
Simplifying and solving for x, we get:
(5/3)x = 3
x = (3*3)/5
x = 1.8
Therefore, there are 1.8 kg of apples and (2/3)*1.8 =
1.2 kg of oranges in the fruit salad.Blanche has recently inherited $8100
, which she wants to deposit into a savings account. She has determined that her two best bets are an account that compounds daily at an annual rate of 4.7%
(Account 1) and an account that compounds annually at an annual rate of 3%
(Account 2).
Step 2 of 2 : How much would Blanche's balance be from Account 1 over 4.8
years? Round to two decimal places.
Therefore, Blanche's balance from Account 1 over 4.8 years would be approximately $10,081.25.
How to find annual amount?To find the annual amount, you first need to know the frequency of the payment. If the payment is made monthly, you need to multiply the monthly payment by 12 to get the annual amount. If the payment is made weekly, you need to multiply the weekly payment by 52 (the number of weeks in a year) to get the annual amount.
If the payment is irregular or occurs at different intervals, you can add up the total amount received over the course of the year and use that as the annual amount.
by the question.
To calculate the balance of Account 1 after 4.8 years, we can use the formula for compound interest:
[tex]A = P(1 + r/n)^{(nt)}[/tex]
where:
A = the final amount
P = the principal (initial deposit)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the time period (in years)
Plugging in the values given in the problem, we have:
[tex]A = 8100(1 + 0.047/365)^{(365*4.8)}[/tex]
[tex]A=8100(1+0.00128)\\A=8100(1.00128)\\A=8,110.43[/tex]
[tex]A \approx8,110.43[/tex]
Therefore, Blanche's balance from Account 1 over 4.8 years would be approximately $10,081.25.
To know more about intervals, visit:
https://brainly.com/question/13708942
#SPJ1
If I was getting food stamps and I needed three months proof of income and I had to have a gross of 2495 and net of 1920 what would I need to put for the three months income amount?
Answer:
26
Step-by-step explanation:
10 + 15
Answer:
Step-by-step explanation:
yes you would. they are very strict with food stamps or EBT card they will still ask for the 3 months for so put in your 3 months and you should be fine.
a can contains 15/16 pound of vegetables.One serving of these vegetables weigh 1 fourth pound.
A. 15/64
B. 4/15
C. 1 3/16
D. 3 3/4
The number of servings that can be obtained from the can is 3 3/4.
What is equation?An equation is a formula that links two statements and uses the equals sign (=) to indicate that the statements are equivalent. A mathematical statement proving the equality of two algebraic expressions is called an equation. For instance, the equal sign divides the variables 3x + 5 and 14 in the equation 3x + 5 = 14. The relationship between the two sentences that appear on opposing sides of a letter is expressed mathematically. The single variable and the symbol are typically the same. Like 2x - 4 Equals 2, for example.
To find the number of servings that can be obtained from the can, we need to divide the total weight of vegetables in the can by the weight of one serving:
Number of servings = (15/16) ÷ (1/4)
= (15/16) × (4/1)
= 60/16
= 15/4
Therefore, the number of servings that can be obtained from the can is 15/4.
None of the answer choices match this result exactly, but we can simplify 15/4 to 3 3/4, which is answer choice D.
So the answer is D. 3 3/4.
To know more about equation visit:
brainly.com/question/649785
#SPJ1
100 points! Please help If you don't know it don't answer it.
There are approximately 7.48 liquid gallons in a cubic foot. If a cylindrical water tank holds 1,200 liquid gallons and has a radius of 2.4 feet, what is the approximate height of the water tank? Approximate using π = 3.14 and round to the nearest tenth.
(A) 2.2 feet
(B)8.9 feet
(C)27.9 feet
(D) 124.1 feet
Answer: B
Step-by-step explanation:
The volume of the cylindrical water tank can be calculated as:
Volume = π x radius^2 x height
We know that the tank holds 1,200 liquid gallons, which is equivalent to:
1,200 / 7.48 = 160.43 cubic feet
We also know that the radius of the tank is 2.4 feet. Substituting these values into the formula, we get:
160.43 = 3.14 x 2.4^2 x height
Solving for height, we get:
height = 160.43 / (3.14 x 2.4^2) = 8.9 feet (approx.)
Therefore, the approximate height of the water tank is 8.9 feet (b).
Answer:
its B, 8.9, trust me, I got it right on the test
Step-by-step explanation:
Sofia has 3 candy bars. She gives of each candy bar to her friends. Which expression represents the
amount of candy that is left?
A. 4 x 3/4
B. 3 x 4/3
C. 4 x 4/3
D. 3 x 3/4
Enrollment in French class at a high school is 0.72 of enrollment in Spanish class. What is enrollment in French class compared to Spanish class as a fraction and as a percent?
Question content area bottom
Part 1
What is the equivalent fraction?
What is the equivalent percent?
Using fractions, we can determine that the enrolment percentage in relation to the Spanish class is 72%.
What are fractions?A fraction is a component of a whole.
Mathematically, the number is expressed as a quotient, where the numerator and denominator are divided.
In a simple fraction, both are integers.
In a complex fraction, a fraction can be found in either the numerator or the denominator.
A suitable fraction has a numerator that is less than its denominator.
So, let's say that x students are enrolled in the Spanish class.
The enrolment in the French class is 0.72 times as large as the attendance in the Spanish class, or 0.72, according to the figures provided.
The enrollment as a percentage of Spanish classes is:
0.72x / x = 0.72
The enrolment percentage in relation to the Spanish class is:
0.72 x 100% = 72%
Therefore, sing fractions, we can determine that the enrolment percentage in relation to the Spanish class is 72%.
Know more about fractions here:
https://brainly.com/question/78672
#SPJ1
Correct question:
Enrollment in French class at a high school is 0.72 of enrollment in Spanish class. What is enrollment in French class compared to Spanish class as a fraction and as a percent?
Please answer step 1 and step 2
Joel needs to practice for another 9/4 hours or 2 1/4 hours to meet his goal.
How to calculate how many hours does Joel need to practice this week to meet his goal?To solve the problem, we need to add up the number of hours Joel has practiced so far and subtract it from his goal of 4 1/2 hours per week.
First, we need to convert the mixed numbers to improper fractions:
Monday: 1 1/2 hours = 3/2 hoursWednesday: 1 1/4 hours = 5/4 hoursThursday: 1 hour = 4/4 hoursNext, we add the fractions:
3/2 + 5/4 + 4/4 = 6/4 + 5/4 + 4/4 = 15/4
So far, Joel has practiced for 15/4 hours this week.
To find out how many more hours he needs to practice to meet his goal, we subtract 15/4 from 4 1/2:
4 1/2 - 15/4
We need to make the denominators the same by finding a common denominator of 4:
4 2/2 - 15/4 = 9/4
Therefore, Joel needs to practice for another 9/4 hours or 2 1/4 hours to meet his goal.
Learn more about fractions in: https://brainly.com/question/10354322
#SPJ1
12-2=11-1 true or false
Answer: True
Step-by-step explanation:
12-2=10
11-1=10
Answer:
True
Step-by-step explanation:
12-2 equals to 10
11-1 also equals to 10
Therefore, 12-2=11-1 is true
Which steps should be used to compare the fractions 2/9 and 5/6?
A- Find a common numerator.
B- Add the numerators and denominators to determine which sum is larger.
C- Use the "greater than" symbol to show which denominator is larger.
D- Multiply the first fraction by 2/2 and the second fraction by 3/3
Answer: D- Multiply the first fraction by 2/2 and the second fraction by 3/3
Step-by-step explanation:
A) You never find the common numerator only denominator
B) Not logical
C) You would have to compare the fractions first
D) 2/9 * 2/2 = 4/18
5/6 * 3/3 = 15/18
5/6 is greater. This is the best way to compare the fractions, and so, Answer Choice (D) is the best option.
URGENT PLEASE HELP - Find the length of the triangle below
Answer:
√(25+12√2) ≈ 6.48
Step-by-step explanation:
You want the length of the longest side, labeled x, in the obtuse triangle with sides of lengths 3 and 4 and angle 135° between.
Law of CosinesThe law of cosines tells you ...
c² = a² +b² -2ab·cos(C)
Using this here, we have a=4, b=3, C=135°:
x² = 4² +3² -2·4·3·cos(135°)
x² = 25 -24(-√2/2) = 25 +12√2
x = √(25 +12√2) ≈ 6.48
2. Two-tailed hypothesis testing - Step by step
S-adenosyl methionine (SAM-e) is a naturally occurring compound in human cells that is thought to have an effect on depression symptoms. Suppose that a researcher is interested in testing SAM-e on patients who are struggling with Alzheimer’s. She obtains a sample of n = 30 patients and asks each person to take the suggested dosage each day for 4 weeks. At the end of the 4-week period, each individual takes the Beck Depression Inventory (BDI), which is a 21-item, multiple-choice self-report inventory for measuring the severity of depression.
The scores from the sample produced a mean of M = 28.9 with a standard deviation of s = 5.94. In the general population of Alzheimer’s patients, the standardized test is known to have a population mean of μ = 29.7. Because there are no previous studies using SAM-e with this population, the researcher doesn’t know how it will affect these patients; therefore, she uses a two-tailed single-sample t test to test the hypothesis.
From the following, select the correct null and alternative hypotheses for this study:
H₀: μSAM-e
≥ 29.7; H₁: μSAM-e
< 29.7
H₀: MSAM-e
≥ 29.7; H₁: MSAM-e
< 29.7
H₀: μSAM-e
= 29.7; H₁: μSAM-e
≠ 29.7
H₀: MSAM-e
≥ 29.7; H₁: MSAM-e
> 29.7
Assume that the depression scores among patients taking SAM-e are normally distributed. You will first need to determine the degrees of freedom. There are degrees of freedom.
Use the t distribution table to find the critical region for α = 0.01.
The t Distribution:
df
Proportion in One Tail
0.25
0.10
0.05
0.025
0.01
0.005
Proportion in Two Tails Combined
0.50
0.20
0.10
0.05
0.02
0.01
1 1.000 3.078 6.314 12.706 31.821 63.657
2 0.816 1.886 2.920 4.303 6.965 9.925
3 0.765 1.638 2.353 3.182 4.541 5.841
4 0.741 1.533 2.132 2.776 3.747 4.604
5 0.727 1.476 2.015 2.571 3.365 4.032
6 0.718 1.440 1.943 2.447 3.143 3.707
7 0.711 1.415 1.895 2.365 2.998 3.499
8 0.706 1.397 1.860 2.306 2.896 3.355
9 0.703 1.383 1.833 2.262 2.821 3.250
10 0.700 1.372 1.812 2.228 2.764 3.169
11 0.697 1.363 1.796 2.201 2.718 3.106
12 0.695 1.356 1.782 2.179 2.681 3.055
13 0.694 1.350 1.771 2.160 2.650 3.012
14 0.692 1.345 1.761 2.145 2.624 2.977
15 0.691 1.341 1.753 2.131 2.602 2.947
16 0.690 1.337 1.746 2.120 2.583 2.921
17 0.689 1.333 1.740 2.110 2.567 2.898
18 0.688 1.330 1.734 2.101 2.552 2.878
19 0.688 1.328 1.729 2.093 2.539 2.861
20 0.687 1.325 1.725 2.086 2.528 2.845
21 0.686 1.323 1.721 2.080 2.518 2.831
22 0.686 1.321 1.717 2.074 2.508 2.819
23 0.685 1.319 1.714 2.069 2.500 2.807
24 0.685 1.318 1.711 2.064 2.492 2.797
25 0.684 1.316 1.708 2.060 2.485 2.787
26 0.684 1.315 1.706 2.056 2.479 2.779
27 0.684 1.314 1.703 2.052 2.473 2.771
28 0.683 1.313 1.701 2.048 2.467 2.763
29 0.683 1.311 1.699 2.045 2.462 2.756
30 0.683 1.310 1.697 2.042 2.457 2.750
40 0.681 1.303 1.684 2.021 2.423 2.704
60 0.679 1.296 1.671 2.000 2.390 2.660
120 0.677 1.289 1.658 1.980 2.358 2.617
∞ 0.674 1.282 1.645 1.960 2.326 2.576
The critical t scores (the values that define the borders of the critical region) are .
The estimated standard error is .
The t statistic is .
The t statistic in the critical region. Therefore, the null hypothesis rejected.
Therefore, the researcher conclude that SAM-e has a significant effect on the moods of Alzheimer’s patients.
Therefore, the researcher can conclude that SAM-e has a significant effect on the moods of Alzheimer's patients.
How to solveGiven:
[tex]n = 30, \bar{X} = 26.2, \mu = 28.1, S = 2.97, \alpha = 0.01[/tex]
Hypothesis:
[tex]ANSWER: D. H0: \muSAM-e = 28.1; Ha: \muSAM-e \neq 28.1[/tex]
Degrees of Freedom = n-1 = 30-1 = 29
The critical t scores are:
[tex]t\alpha/2, n-1= t0.01/2, 30-1 = \pm 2.7564[/tex]
The estimated standard error is: [tex]S/\sqrt{n} = 2.97/\sqrt{30} = 0.5422[/tex]
Test statistic:
[tex]t = \frac{\bar{X} - \mu }{S/\sqrt{n}} = \frac{26.2 - 28.1}{2.97/\sqrt{30}} = -3.50[/tex]
[tex]|t| > t\alpha/2, n-1 , i.e 3.50 > 2.7564, Reject H0 at 1% level of significance.[/tex]
The t-statistic lies in the critical region. Therefore, the null hypothesis is Rejected
Therefore, the researcher can conclude that SAM-e has a significant effect on the moods of Alzheimer's patients.
Read more about the tailed hypothesis here:
https://brainly.com/question/28044387
#SPJ1
help me plaeseeeeeeeeeeeeeeeeeeeeeee
Answer:
B
Step-by-step explanation:
Every 2 balloons you buy the price goes up by 6.4 so for every 1 balloon, the price goes up by 3.2 since 6.4/2=3.2
NEED help on 20-25 please and thank you
The sum of the measures of the interior angles of a nonagon is 1260 degrees
The measure of each interior angle of a regular octagon is 135 degrees
How to calculate the anglesA nonagon is a polygon with nine sides, and the formula to calculate the sum of the measures of the interior angles of a polygon with n sides is:
Sum of interior angles = (n-2) x 180 degrees
Therefore, the sum of the measures of the interior angles of a nonagon is:
Sum of interior angles = (9-2) x 180 degrees = 1260 degrees
An octagon is a polygon with eight sides, and the formula to calculate the measure of each interior angle of a regular polygon with n sides is:
Measure of each interior angle = (n-2) x 180 degrees / n
Therefore, the measure of each interior angle of a regular octagon is:
Measure of each interior angle = (8-2) x 180 degrees / 8 = 135 degrees
Learn more about angle on;
https://brainly.com/question/25716982
#SPJ1
I need help. Please Help.
Sequence from least interest amount to greatest amount is
investment of $400 at 3% for 6 years
investment of $400 at 14% for 2 years
investment of $300 at 14% for 6 years
Define simple interestSimple interest is a type of interest that is calculated only on the principal amount of a loan or investment, without taking into account any accumulated interest from previous periods. It is a linear function of time and is calculated by multiplying the principal amount, the interest rate, and the time period. The formula for simple interest is:
I = P × r × t
To calculate the simple interest earned on an investment of $400 at 3% for 6 years, we can use the formula:
I = P × r × t
Plugging in the given values, we get:
I = 400 × 0.03× 6
I = 72
Therefore, the simple interest earned on an investment of $400 at 3% for 6 years is $72.
To calculate the simple interest earned on an investment of $300 at 14% for 6 years, we can use the formula:
I = P ×r× t
Plugging in the given values, we get:
I = 300×0.14× 6
I = 252
Therefore, the simple interest earned on an investment of $300 at 14% for 6 years is $252.
To calculate the simple interest earned on an investment of $400 at 14% for 2 years, we can use the formula:
I = P ×r ×t
Plugging in the given values, we get:
I = 400 ×0.14 × 2
I = 112
Therefore, the simple interest earned on an investment of $400 at 14% for 2 years is $112.
Hence, sequence from least interest amount to greatest amount is
investment of $400 at 3% for 6 years
investment of $400 at 14% for 2 years
investment of $300 at 14% for 6 years
To Know more about amount, visit:
https://brainly.com/question/28970975
#SPJ1
The function f(x)= -3|x-4.7|+2 represents to the temperatures of the solo in degrees Fahrenheit, x minute into an experiment on what interval is temperature positive?
To find on what interval the temperature is positive, we need to find the values of x for which f(x) is greater than zero.
The function f(x) is defined as:
f(x) = -3|x - 4.7| + 2
Since the absolute value of any real number is always non-negative, we can see that f(x) will be positive only if the expression inside the absolute value bars is less than 2/3. So, we can set:
-3|x - 4.7| + 2 > 0
Solving for |x - 4.7|, we get:
|x - 4.7| < 2/3
This means that x must be within 2/3 units of 4.7. So, the interval on which the temperature is positive is:
4.7 - 2/3 < x < 4.7 + 2/3
Simplifying, we get:
4.0333 < x < 5.3667
Therefore, the temperature is positive on the interval (4.0333, 5.3667).
When randy started his job, he earned $5.40 an hour. Now he makes$234 for a 40-hour week. How much more does randy earn per hour than he did when he started?
Answer:
Randy makes 45 cents more than he did when he started.
Step-by-step explanation:
If Randy makes $234 for a 40 hour week, that means he makes $5.85 an hour. You can find how much he makes currently by dividing the total amount he earned by the amount of hours worked.
[tex]234/40=5.85[/tex]
He initially earned $5.40 an hour and he now earns $5.85. By subtracting his final earnings by his initial earnings it gives you the amount his earning increased by.
[tex]final= $5.85initial= 5.40[/tex]
[tex]5.85-5.40=0.45[/tex]
He makes 45 cents more than he did when he started.
