The amount of money that Noah needs to invest would be = $ 6,558
What is interest rate?An interest rate is defined as the rate at which an individual receives an interest on an invested funds over a stipulated period of time.
The interest rate (R) = 7% = 0.07 (decimal form)
The time for the investment (T) = 10 years.
The present value of the account (A) = $12,900
n compounding frequency = 1
Using the formula;
A = P (1 +r/n) ^nt
12,900 = P ( 1 + 0.07) ^ 10
12,900 = P (1.07) ^10
12,900 =P 1.96715
P = 12,900/1.96715
P =$ 6,558
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The perimeter of a rectangle is 168 feet. Find the length and width if the length is an integer and the width is 4 times the next consecutive integer.
The length and width of the rectangle are "2.62467ft and 81.38cm "
What is a rectangle?A rectangle is a quadrilateral with four right angles in the Euclidean plane. It may alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
According to the given information:
Using the formula
P=2(l+w)
Solving for l
[tex]l=\frac{P}{2}-w=\frac{5.51}{2}-0.13 \approx 2.62467 \mathrm{ft}[/tex]
Solving for w
[tex]w=\frac{P}{2}-l=\frac{168}{2}-2.62=81.38 \mathrm{~cm}[/tex]
So, the length and width of the rectangle are "2.62467ft and 81.38cm "
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Select the correct answer.
What is the right-hand limit of f (x) = x/x-5 as x approaches 5?
The right-hand limit, also known as the right sided limit, is the value of a function when its input approaches a value with a small increment.The answer is + ∞
As x gets closer to 5, what is the right-hand limit of f (x) = x/x-5?The upper bound of what f(x) can be as x moves toward a from the right, denoted by lim xa+f(x)=L.
By choosing x values that are sufficiently close to a where x>a and xa, we can bring the values of f(x) as close to the limit L as we wish.
The expression for the right hand limit of f(x) is:
f = x+c / x+c-5
can be simplified with some algebraic handling:
f = 1/ x+c - 5/x+c
f = 1/1-5/ x +c
Let be , x =5 as is approaching zero, f is positive and becomes bigger, diverging to . + ∞
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Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
Answer:
B) 10
Step-by-step explanation:
The triangles are congruent by HL. Thus, by CPCTC, [tex]x=10[/tex].
A town in east Texas received 25 inches of rain in two weeks. If it kept raining at this rate for a 31-day
month, how much rain did the town receive? Round your answer to the nearest inch.
The town received approximately
inches of rain during a 31-day month.
We get approximately 56 inches of rain during a 31-day month.
What is the rate in mathematics?
In mathematics, a rate is a ratio that compares two different quantities. It is a way to express the relationship between two quantities that have different units of measure. For example, you might express the rate at which you are traveling as miles per hour, which compares the distance you have traveled (in miles) to the time it took you to travel that distance (in hours).
To find the amount of rain the town received in a 31-day month, we need to determine the daily rainfall rate and then multiply it by the number of days in the month.
The town received 25 inches of rain in two weeks, which is equal to 25/2 = 12.5 inches per week. Since there are 7 days in a week, the daily rainfall rate is 12.5/7 = 1.79 inches per day.
If it kept raining at this rate for a 31-day month, the town would receive approximately 1.79 inches per day * 31 days = 55.9 inches of rain.
Hence, we get approximately 56 inches of rain during a 31-day month.
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We get approximately 56 inches of rain during a 31-day month.
What is the rate in mathematics?
In mathematics, a rate is a ratio that compares two different quantities. It is a way to express the relationship between two quantities that have different units of measure. For example, you might express the rate at which you are traveling as miles per hour, which compares the distance you have traveled (in miles) to the time it took you to travel that distance (in hours).
To find the amount of rain the town received in a 31-day month, we need to determine the daily rainfall rate and then multiply it by the number of days in the month.
The town received 25 inches of rain in two weeks, which is equal to 25/2 = 12.5 inches per week. Since there are 7 days in a week, the daily rainfall rate is 12.5/7 = 1.79 inches per day.
If it kept raining at this rate for a 31-day month, the town would receive approximately 1.79 inches per day * 31 days = 55.9 inches of rain.
Hence, we get approximately 56 inches of rain during a 31-day month.
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There are 35 questions total!! Please answer with an explanation and whoever answers correctly will get BRAINLIEST!!
Answer:
I think the answer will be weak positive
How do I solve this. Please explain your method.
Answer:
x > 90 > y
Step-by-step explanation:
You want to know the relationship of the central angles in a rectangle where the diagonals cross.
Angle relationsAssuming we can trust the figure (not always a good idea), we notice that x° is an obtuse angle and y° is an acute angle. (The angle opposite the longer side in this geometry will always be obtuse.)
This means ...
x° > 90°
90° > y°
The two angles form a linear pair, so their sum is 180°.
The correct description is ...
x > 90 > y
__
Additional comment
If the diagonals crossed at right angles, the rectangle would be a square.
I don't have much to say please help me
Answer: for 216 the answer is 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216
for 96 it is 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.
for 64 it is 1, 2, 4, 8, 16, 32 and 64.
Step-by-step explanation:
Hello Can someone solve this with steps please
Answer:
7.5 x 10^5
Step-by-step explanation:
See the attached worksheet.
Scientific notation is a very convenient protocol for working with, and reporting, very large or small numbers. It allows one to condense all the non-significant zeros into an expression of 10^x. Examples:
1) 0.00000000000000000015 becomes 1.5x10^-19, and
2) 45000000000000000000000 becomes 4.5x10^22
Both numbers are much easier to compare, the notation approach saves space (publishers), takes less time to type, and makes the math much easier, as this problem will demonstrate. It also eliminates many transcription errors. E.g., try dividing these two numbers using long division.
The specific problem here is to divide two very different numbers. The attached worksheet explains the steps.
how many two digit numbers can you write if you are not dont use 1 and 2
The number of permutations of two digits that we can write without 1 and 2 is 64 digits.
How to find how many two digit number s can be formed without using 1 and 2?To find how many two digit numbers can be formed if we don't use 1 and 2, we find the number of permutations.
What are permutations?Permutations are the number of ways in which n objects can be arranged in x ways. It is given by ⁿPₓ = n!/x!
Now, since we require a two digit number without 1 and 2 in any of the digits, we have 10 digits - 2 digits = 8 digits.
So, we have 8 digits to arrange in both the first digit position and second digit position.
The number of permutations for the first digit is ⁸P₁ = 8.
The number of permutations for the second digit is ⁸P₁ = 8.
So, the total number of permutations for the two digit number is N = ⁸P₁ × ⁸P₁ = 8 × 8 = 64 ways
So, the number of digits that we can write without 1 and 2 is 64 digits.
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One interior angle of a triangle is 34°, and the other two angles are congruent. Choose the equation that could be used to determine the degree measure of one of the congruent angles. x − 34 = 90 x + 34 = 180 2x − 34 = 90 2x + 34 = 180
Is the ordered pair (0, 4) a solution of the inequality y≤x−3? Explain.
The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality.
What is inequality?A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
As per the given inequality,
y ≤ x - 3
Put x = 0
y ≤ 0 - 3
y ≤ -3
Since 4 ≤ -3 is the wrong statement thus it will not satisfy the inequality.
Hence "The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality".
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The given ordered pair is not the solution for y ≤ x − 3.
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The inequality is given as y ≤ x - 3.
The x coordinate for the ordered pair (0,4) is 0.
And, the y coordinate is 4.
Substitute the value of x and y in the given inequality as follows,
y ≤ x - 3
=> 4 ≤ 0 - 3
=> 4 ≤ -3
Which is not true.
Hence, the ordered pair (0, 4) is not solution of the inequality y ≤x − 3.
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During a maths game, Joseph had a total of 2x-6 points. His friend Thomas
had 4 more points than Joseph. Eric told them that he had double their amount.
Find how many points did Eric have in terms of x?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The number of points Eric have is 8x - 16.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Joseph points = 2x - 6
Thomas points = 2x - 6 + 4 = 2x - 2
Eric points = 2 ( 2x - 6 + 2x - 2 )
Now,
The points Eric have is.
= 2 (4x - 8)
= 8x - 16
Thus,
The number of points Eric have is 8x - 16.
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Find the product
(2n + 7)(3n - 4)
Answer:
6n²+13n-28
Step-by-step explanation:
6n²-8n+21n-28
6n²+13n-28
Hope it helps!
Identify the parent function and designee the transformations.
A parent function in mathematics is the most basic function within a family of functions that nonetheless upholds the definition of the entire family.
What is the parent function equation?A family of functions' simplest version of an equation is a parent function. Parent functions come in a variety of forms, including: linear processes f(x)=x f(x)=x, where the function's degree is 1 and it symbolises a straight line.The simplest function that nonetheless complies with a certain type of function's specification is a parent function. For instance, y = x would be the parent function when considering the linear functions that make up a family of functions. The most basic linear function is this one.y=x in a linear function. Quadratic Functions with Parabolas: y=x Cubic functions for polynomial functions: y=x. Fundamental Value Functions.Find the attachment answer
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I WILL GIVE BRAINLIEST The Cheese Spread restaurant makes a grilled cheese sandwich with 3 oz of Swiss cheese and 5 oz of cheddar cheese. Which table represents the description of the proportional relationship? Cheddar Cheese (oz) 3 1 0 Swiss Cheese (oz) 5 4 3 Cheddar Cheese (oz) 5 4 3 Swiss Cheese (oz) 3 1 0 Swiss Cheese (oz) 3 6 9 Cheddar Cheese (oz) 5 10 15 Swiss Cheese (oz) 5 10 15 Cheddar Cheese (oz) 3 6 9
The table represents the description of the proportional relationship is Swiss Cheese (oz) 3 6 9 Cheddar Cheese (oz) 5 10 15
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Since the restaurant makes cheese sandwich with 3 oz of Swiss cheese and 5 oz of cheddar cheese.
Thus, the table that represents the proportional relationships will be the one that contains 3 oz of Swiss cheese with a corresponding value of 5 oz of cheddar cheese.
the constant of proportionality (k) must be the same (i.e. k = 5/3) for all the values.
Swiss Cheese (oz) 3 6 9
Cheddar Cheese (oz) 5 10 15
k = 5/3 = 10/6= 15/9 =5/3
Hence, the table represents the description of the proportional relationship is Swiss Cheese (oz) 3 6 9 Cheddar Cheese (oz) 5 10 15
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Convert 10 meters 1 min to centimeters mim
The 10 meters /1 min = 1000 centimeters/min.
What is unit conversion meaning?
The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.
We have,
10 meters per 1 min
We know that,
Meters to a centimeters conversion table
Meters (m) Centimeters (cm)
0.1 m 10 cm
1 m 100 cm
2 m 200 cm
3 m 300 cm
so,
10 m 1000 cm
1000 centimeters per min.
Hence, the 10 meters /1 min = 1000 centimeters/min.
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"If you subtract 19 from my number and multiply the difference by -5, the result is -90." What is Elise's number?
Answer: Elise's number is 37
Step-by-step explanation:
-5(x-19)=-90
-5x+95=-90
-5x=-185
x=37
2.3.PS-17 Question Help - Julio says, "If you subtract 14 from my number and multiply the difference by -2, the result is -40." What is Julio's number?
please and Thank You
Answer:
34
Step-by-step explanation:
-2(x - 14) = -40 Distribute the -2
-2x + 28 = -40 Subtract 28 from both sides
-2x = -68 Divide both sides by -2
x = 34
Check:
34- 14 = 20
-2(20) = -40
What can you conclude about the triangles? *Hint: What is congruent and how can you prove it?
The conclusion about the triangle is that the two triangles are congruent i.e they are equal
What are Congruent triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
In the figure, triangle ∆GHJ and ∆ GKM are the two triangles formed.
To prove that triangle GHJ = GKM
angle KGM= angle JGH ( opposite angles)
angle K = angle H (alternating angles)
Therefore angle H = angle J
since the three angles of each triangles are equal, we can say the triangles are congruent.
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Find the equation of the line specified. The slope is 7, and it passes through ( 8, 6). A. Y = 7x - 50 c. Y = 7x + 6 b. Y = 14x - 50 d. Y = 7x + 62 please select the best answer from the choices provided a b c d.
The equation of the line is y = 7x - 36
Equation of the line,
For the given slope and the point the equation of the line is written as,
(y - y1) = m (x - x1)
Given,
The slope is 7, and it passes through ( 8, 6).
Here we need to find the equation of the line.
While we looking into the give equation, we have identified the following,
slope = 7
point = (8,6)
When we apply the values on the formula of equation of the line, then we get,
=> (y - 6) = 7 (x - 6)
When we simplify this one then we get,
=> y - 6 = 7x - 42
Then it can be rewritten as,
=> y = 7x - 36
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HELP ME THIS IS DUE TOMARROW
What linear expression would you need to subtract from (5x+3) to have a difference of −x ?
Answer: Expression that is to be deducted will be (6x + 3).
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pls Help me , I need you !!!!
The value of a guitar has been found to be -80y + 800, where y is the number of years since it was released.
By how much is the value of the guitar decreasing per year ?
How much Was the initial value of the comic?
Answer:
13% and 81
Step-by-step explanation:
What types of values of the test statistic for the kruskal wallace test support the alternative hypothesis?.
One of the non-parametric tests used it as a generalized version of such Mann Whitney U test is the Kruskal-Wallis test.
Explain the term Kruskal-Wallis Test?One of the non-parametric tests used as an expanded version of a Mann Whitney U test is the Kruskal-Wallis test.
It's employed to test the null hypothesis, which claims that "k" samples were taken from the same population or an identical population and that the median for each sample was the same or same. The null hypothesis can be expressed mathematically as S1 = S2=..... = Sk if Sj is the population median again for jth group and sample with in Kruskal-Wallis test. Naturally, the alternative theory would be that Si and Sj are not equal. This indicates that there are different pairs in at least 1 pair of groups and samples.As a result, it has been used to investigate the null hypothesis, which claims that 'k' samples were taken from populations that were either identical or similar and had medians that were similar or slightly similar.
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What is m∠C? What is m∠C?
The unknown angle in the triangle is as follows:
m∠C = 60 degrees.How to find the angle of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
A triangle can be named base on it's angles or sides. They include equilateral triangle, scalene triangle, Isosceles triangle, Right triangle, Acute triangle etc
Therefore, let's solve the angle C of the triangle as follows;
m∠C = 2x
x + 2x + 3x = 180
6x = 180
divide both sides by 6
x = 180 / 6
x = 30
Therefore,
m∠C = 2x = 2(30) = 60 degrees.
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There are 6 cards in a bag numbered 1 through 6. Suppose we draw two cards numbered A and B out of the bag(without replacement), what is the variance of A 2B
The Variance of (A +2B) is 12.6724.
What is Variance ?
Variability is measured by the variance. The average of the squared deviations from the mean is used to compute it. The degree of dispersion in your data collection is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.
Here we have to select two card out of 6 card. now suppose we take 2 card (1,2 ) out of six card (1,2,3,4,5,6) . so here A=1 and B=2 but it is also possible that A=2 and B =1 because it represent same two card . Therefore here order of card matter.
Hence the posible out come of selecting 2 card are (without replacement)
-- (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) -- (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) -- (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) -- (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) -- (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) --
Therefore A+2B of this outcome are
A B A+2B
1 2 5
1 3 7
1 4 9
1 5 11
1 6 13
2 1 4
2 3 8
2 4 10
2 5 12
2 6 14
3 1 5
3 2 7
3 4 11
3 5 13
3 6 15
4 1 6
4 2 8
4 3 10
4 5 14
4 6 16
5 1 7
5 2 9
5 3 11
5 4 13
5 6 17
6 1 8
6 2 10
6 3 12
6 4 14
6 5 16
therefore there variance of A +2B can be computed as follows
x x2
5 25
7 49
9 81
11 121
13 169
4 16
8 64
10 100
12 144
14 196
5 25
7 49
11 121
13 169
15 225
6 36
8 64
10 100
14 196
16 256
7 49
9 81
11 121
13 169
17 289
8 64
10 100
12 144
14 196
16 256
[tex]\Sigma x=315[/tex] [tex]\sum x^2=3675[/tex]
Therefore variance
[tex]$$\begin{aligned}& =\frac{\sum x^2-\frac{\left(\sum x\right)^2}{n}}{n-1} \\& =\frac{3675-\frac{(315)^2}{30}}{30-1} \\& =\frac{3675-3307.5}{29} \\& =12.6724\end{aligned}$$[/tex]
The Variance of (A +2B) is 12.6724.
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Simplify: √64r8
O 87r²
O 87r4
O 32r²
O 32r4
[tex]8r^{4}[/tex]
Step-by-step explanation:√(64r^8) = √((8r^4)^2) = 8r^4
_____
You can make use of either or both of these rules of exponents:
(a^b)^c = a^(b·c) . . . . . used above
[tex]\sqrt[n]{a}[/tex] = a[tex]\fra {1}{n}[/tex]
Using the second rule, you can write the expression as ...
[tex]\sqrt{64r^8}[/tex] = [tex]\sqrt{64}[/tex] · [tex]r^8^*1/2[/tex] = [tex]8r^4[/tex]
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
2- Don Benito had 400
Sheep and will sell 3/4 of that amount, how many sheep will she sell?
To find the number of sheep that he will sell, three-fourths of the total number of sheep he had must be calculated. For this, the fraction must be multiplied by the whole number:
[tex]\begin{gathered} \sf \frac{3}{4} \times 400 = \\ \\ \sf \frac{3}{4} \times \frac{400}{1} = \\ \\ \sf \frac{3 \times 400}{4 \times 1} = \\ \\ \sf \boxed{ \sf \frac{ \red{1200}}{ \red4}} = \blue{300}\end{gathered}[/tex]
Therefore, he will sell three hundred sheep.
Answer: She will sell 300 sheep
Step-by-step explanation:
1/4 of 400 sheep is 100 sheep, to find this by, taking 400 divided by 100
So 3/4 will be 300 sheep, to find this by taking 100 timed 3
If you can, please give me a Brainliest, I need 1 more to become an Ace, thank you!
(−2/9)÷(−2 1/3÷1/9) HELP PLS!!
Answer:
0.01058201058
Step-by-step explanation:
HELP MEE!! 45 points!!
Solve. What is r in the inequality? r– (–1) ≤ 1
Answer:
r ≤ 0
Step-by-step explanation in image.
Answer:
r<0
Step-by-step explanation:
r-(-1)<1
the oposite of -1 is 1
r+1<1
subatract 1 from both sides
r<1-1
subatract 1 from 1 to get 0
r<0
To hike a total of 11/6 miles, she would have to hike for____ days. To hike a total of 1/3 of a mile, she would have to hike for____ days.
To hike a total of 11/6 miles, she would have to hike for 11 days. To hike a total of 1/3 of a mile, she would have to hike for 2 days.
How to calculate days ?She hikes 1/6 a day, to get 11/6 , she would have to hike 11 days
to hike 1/3 of a mile
1/3 / 1/6 = 1/3 * 6/1 = 6/3 = 2
so she would have to hike 2 days
To hike a total of 11/6 miles of distance in 11 days, the person would have to hike an average of 11/6 / 11 = 11/66 miles per day.
To hike a total of 1/3 of a mile in 2 days, the person would have to hike an average of 1/3 / 2 = 1/6 miles per day.
Thus, to hike a total of 11/6 miles, the person would have to hike for 11 days, and to hike a total of 1/3 of a mile, the person would have to hike for 2 days.
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