With an interest rate of 12.5%, how much money will I earn with an investment of $200 for 8 years?
Answers
Answer:
200$
You'll gain 200$ in 8 years
Step-by-step explanation:
12.5% × 200 = 25
25 × 8 = 200
Answer:
C
Step-by-step explanation:
Related Questions
A tinsmith wants to make a small windowsill planter from a 71 cm x 30 cm sheet of copper. She'll form it by cutting equally sized squares from each of the four corners
of the sheet, folding up the resulting fiaps to form the sides of the planter, and then soldering the four vertical edges. What is the maximum possible volume of the
planter? Round your answer to the nearest whole number.
Answers
Answer:
2130 cm^3
Step-by-step explanation:
you multiply 71 by 30 and the answer is 2130 with the units as cm cubed which is shown as cm^3
Which mathematical word describes both 27X and 6X in the expression 27X plus 6X
Answers
The mathematical word that describes both 27X and 6X in the expression 27X + 6X is term
How to determine the mathematical word?The expression is given as:
27X plus 6X
Rewrite the expression as:
27X + 6X
In the above expression, 27X and 6X are the terms of the expression.
Hence. the mathematical word is term
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GIVING OUT BRAINLIEST ANSWER !! HELP ME OUT PLSS!!
Answers
Answer:
x = 7 hope this helps !!!
Step-by-step explanation:
Type 1: You know the short leg (the side across from the 30-degree angle). Double its length to find the hypotenuse. You can multiply the short side by the square root of 3 to find the long leg.
Type 2: You know the hypotenuse. Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg.
Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side. Double that figure to find the hypotenuse.
this is a type 3 triangle, and you can find the length of y from it, it being 14, and x is half of y, being 7
Tan (30) = x/7\(\sqrt{3}\)
Tan (30) times \(7\sqrt{3}\) = x
7 = x
Have a great day,
and thank you for the support - Oceanbreeze24
Rita is hiking along a trail that is 14.8 miles long. So far she has hiked along one-tenth of the trail.
How far has Rita hiked?
Answers
Answer:
1.48 miles
Step-by-step explanation:
If the trail is 14.8 miles and Rita has hiked 1/10 of it. Then just multiply 14.8 by 1/10.
14.8 * 1/10 = 1.48 miles.
Answer:
1.48
Step-by-step explanation:
I know the answer is correct
Evaluate the integral ∫2032x2+4dx. Your answer should be in the form kπ, where k is an integer. What is the value of k? (Hint: darctan(x)dx=1x2+1 ) k= 4 (b) Now, lets evaluate the same integral using power series. First, find the power series for the function f(x)=32x2+4. Then, integrate it from 0 to 2, and call it S. S should be an infinite series ∑[infinity]n=0an . What are the first few terms of S?
Answers
Here is the correct computation of the question;
Evaluate the integral :
\(\int\limits^2_0 \ \dfrac{32}{x^2 +4} \ dx\)
Your answer should be in the form kπ, where k is an integer. What is the value of k?
(Hint: \(\dfrac{d \ arc \ tan (x)}{dx} =\dfrac{1}{x^2 + 1}\))
k = 4
(b) Now, lets evaluate the same integral using power series.
\(f(x) = \dfrac{32}{x^2 +4}\)
Then, integrate it from 0 to 2, and call it S. S should be an infinite series
What are the first few terms of S?
Answer:
(a) The value of k = 4
(b)
\(a_0 = 16\\ \\ a_1 = -4 \\ \\ a_2 = \dfrac{12}{5} \\ \\a_3 = - \dfrac{12}{7} \\ \\ a_4 = \dfrac{12}{9}\)
Step-by-step explanation:
(a)
\(\int\limits^2_0 \dfrac{32}{x^2 + 4} \ dx\)
\(= 32 \int\limits^2_0 \dfrac{1}{x+4}\ dx\)
\(=32 (\dfrac{1}{2} \ arctan (\dfrac{x}{2}))^2__0\)
\(= 32 ( \dfrac{1}{2} arctan (\dfrac{2}{2})- \dfrac{1}{2} arctan (\dfrac{0}{2}))\)
\(= 32 ( \dfrac{1}{2}arctan (1) - \dfrac{1}{2} arctan (0))\)
\(= 32 ( \dfrac{1}{2}(\dfrac{\pi}{4})- \dfrac{1}{2}(0))\)
\(= 32 (\dfrac{\pi}{8}-0)\)
\(= 32 ( (\dfrac{\pi}{8}))\)
\(= 4 \pi\)
The value of k = 4
(b) \(\dfrac{32}{x^2+4}= 8 - \dfrac{3x^2}{2^1}+ \dfrac{3x^4}{2^3}- \dfrac{3x^6}{2x^5}+ \dfrac{3x^8}{2^7} -... \ \ \ \ \ (Taylor\ \ Series)\)
\(\int\limits^2_0 \dfrac{32}{x^2+4}= \int\limits^2_0 (8 - \dfrac{3x^2}{2^1}+ \dfrac{3x^4}{2^3}- \dfrac{3x^6}{2x^5}+ \dfrac{3x^8}{2^7} -...) dx\)
\(S = 8 \int\limits^2_0dx - \dfrac{3}{2^1} \int\limits^2_0 x^2 dx + \dfrac{3}{2^3}\int\limits^2_0 x^4 dx - \dfrac{3}{2^5}\int\limits^2_0 x^6 dx+ \dfrac{3}{2^7}\int\limits^2_0 x^8 dx-...\)
\(S = 8(x)^2_0 - \dfrac{3}{2^1*3}(x^3)^2_0 +\dfrac{3}{2^3*5}(x^5)^2_0- \dfrac{3}{2^5*7}(x^7)^2_0+ \dfrac{3}{2^7*9}(x^9)^2_0-...\)
\(S= 8(2-0)-\dfrac{1}{2^1}(2^3-0^3)+\dfrac{3}{2^3*5}(2^5-0^5)- \dfrac{3}{2^5*7}(2^7-0^7)+\dfrac{3}{2^7*9}(2^9-0^9)-...\)
\(S= 8(2-0)-\dfrac{1}{2^1}(2^3)+\dfrac{3}{2^3*5}(2^5)- \dfrac{3}{2^5*7}(2^7)+\dfrac{3}{2^7*9}(2^9)-...\)
\(S = 16-2^2+\dfrac{3}{5}(2^2) -\dfrac{3}{7}(2^2) + \dfrac{3}{9}(2^2) -...\)
\(S = 16-4 + \dfrac{12}{5}- \dfrac{12}{7}+ \dfrac{12}{9}-...\)
\(a_0 = 16\\ \\ a_1 = -4 \\ \\ a_2 = \dfrac{12}{5} \\ \\a_3 = - \dfrac{12}{7} \\ \\ a_4 = \dfrac{12}{9}\)
solve the following inequality ( algebra 1 )
Answers
Answer:
m<1 OR m>7
Step-by-step explanation:
3m<5-2
3m<3
m<1
m+1>8
m>8-1
m>7
Answer:
m<1 or m>7
Step-by-step explanation:
3m + 2 < 5
3m + 2-2 < 5-2
3m < 3
\(\frac{3m}{3}\) < \(\frac{3}{3}\)
m < 1
\(\frac{m+1}{2}\) > 4
\(\frac{m+1}{2}\)*2 > 4*2
m +1 > 8
m +1 -1 > 8 -1
m > 7
Differentiate the following four levels of measurement and give an example of each: nominal, ordinal, interval and ratio.
-Nominal: a level of measurement describing a variable that has attributes that are merely different, as distinguished from ordinal, interval, or ratio measures. Gender is an example.
-Ordinal: a level of measurement describing a variable with attributes we can rank-order along some dimension. An example is socioeconomic status as composed of the attributes high, medium, and low.
-Interval: a level of measurement describing a variable whose attributes are rank-ordered and have equal distances between adjacent attributes. There is however, no "true" zero point. Like the difference in temperature.
-Ratio: a level of measurement describing a variable with attributes that have all the qualities of nominal, ordinal, and interval measures and in addition are based on a "true zero" point. Ex. Number of children you have, makes sense to have a zero
Answers
The process of associating numbers with physical quantities and phenomena. Measurement is used in our day-to-day life
Nominal: A level of measurement describing a variable that has attributes that are merely different, as distinguished from ordinal, interval, or ratio measures.
Gender is an example.
Ordinal: A level of measurement describing a variable with attributes we can rank-order along some dimension.
An example is socioeconomic status as composed of the attributes high, medium, and low.
Interval: A level of measurement describing a variable whose attributes are rank-ordered and have equal distances between adjacent attributes. There is however, no "true" zero point. Like the difference in temperature. An example will be the measuring temperature.
Ratio: A level of measurement describing a variable with attributes that have all the qualities of nominal, ordinal, and interval measures and in addition are based on a true zero point. An example will be Number of children you have, makes sense to have a zero
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"What is the rest wavelength of an emission line observed at 2148 nanometers in a galaxy 100
Megaparsecs away from the Milky Way? Your answer should be significant to four digits."
Answers
The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.
The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.
In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.
Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.
The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.
To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)
Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.
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A science teacher has 30 pounds of salt and 20 liters of water to use for a class experiment. Each of the 8 groups of students will receive an equal share of both the salt and the water. How much of the salt and water will each group get?
Answers
Answer:
3 3/4 lb salt2 1/3 L waterStep-by-step explanation:
Each group will get 1/8 of the total amount:
salt: (30 lb)/8 = 3 6/8 lb = 3 3/4 lb
water: (20 L)/8 = 2 4/8 L = 2 1/2 L
Each group will get 3 3/4 pounds of salt and 2 1/2 liters of water.
PLSSS HELP ME 14 POINTS
Answers
The transformation of f(x) to g(x) is :
Vertically compressed by a factor of 9Shifted down by 2 Describing the transformation of the functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x
g(x) = 1/9x - 2
The graph of the functions f(x) and g(x) are added as an attachment
And we have the transformations to be:
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What is the approximate length of side GF in triangle EFG?
Answers
Answer:
41.93 degrees
Step-by-step explanation:
Find two whole numbers that the 407 falls in between. Justify your answer.
Answers
Answer:
407 falls between whole numbers 406 and 408.
Step-by-step explanation:
whole numbers set of numbers which begins with 0 add has sequence of number differing by one unit.
set of whole numbers will be 0,1,2,3,4,5...........................till infinity.
Given whole number = 407
No. before 407 will be one less than 407 i.e 407 -1 = 406
No. after 407 will be one more than 407 i.e 407 + 1 = 408
Thus, 407 falls between 406 and 408 which are part of whole numbers.
The IQ scores and science test scores of fourth grade students is given by the line of best fit ŷ = −20.3 + 0.7489s, where ŷ is the predicted science score and s is the IQ score. An actual science test score for a student is 52.6 with an IQ of 100.
Find and interpret the residual.
−1.99; The line of best fit underpredicts the student's science test score.
1.99; The line of best fit overpredicts the student's science test score.
1.99; The line of best fit underpredicts the student's science test score.
−1.99; The line of best fit overpredicts the student's science test score.
Answers
-19.99; The line of best fit underpredicts the student's science test score.
So correct option is A.
What do you mean by prediction?A prediction is an estimation or forecast about future events or conditions, based on past data and trends, current information, and/or mathematical models. Predictions can be made in various fields, such as finance, weather, sports, social sciences, and natural sciences. The accuracy of predictions depends on many factors, including the quality of the data used, the assumptions made, the complexity of the system being analyzed, and the reliability of the methods used. Predictions are not always accurate and are often subject to revision as new information becomes available.
The predicted science score for the student with IQ 100 can be calculated using the line of best fit:
ŷ = −20.3 + 0.7489 * 100 = 71.59
The residual is the difference between the actual science test score and the predicted science score:
residual = actual score - predicted score = 52.6 - 71.59 = -19.99
So the line of best fit underpredicts the student's science test score by 19.99 points.
Therefore, the residual is:
-19.99; The line of best fit underpredicts the student's science test score.
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Kevin entered a pie eating contest. He ate 4 pies in 132 seconds. What is kevins unit rate? Awnser without units.
Answers
Answer:
Kevin eats 1 pie for every 33 seconds that pass
Step-by-step explanation:
A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
If we were wondering how many seconds Kevin takes to eat a pie then the equation would look like:
132 seconds / 4 pies = 33 seconds per pie
33 seconds / 1 pie
However, if we were looking for how many pies Kevin eats in a second, then the equation would look like:
4 pies / 132 = .0303 or 3.03% of a pie per second
.0303 pies / 1 second
I’LL MARK BRAINLIEST!!!
Answers
Answer:
87% sure its 45
Step-by-step explanation:
If all real numbers satisfy the inequality, select all real numbers. If no real numbers satisfies the inequality, select no solution.
how can you tell if it's all real numbers or if no real numbers.
Answers
The solution to the inequality is x >= -2 for inequality 3x-5≥-11
The given inequality is 3x-5≥-11
Three times of x greater than or equal to minus eleven
x is the variable
3x - 5≥ -11:
Adding 5 to both sides, we get:
3x ≥ -6
Dividing both sides by 3, we get:
solution is x≥-2
Therefore, the solution to the inequality is x >= -2.
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Martin Fernandez necesita construir
canaletas para el techo de su casa por las
inminentes lluvias que el Senamhi (Servicio
Nacional de Meteorologia e Hidrologia del
Peru) ha pronosticado. Para ello, cuenta con
planchas de 300 cm de largo por 16 cm de
ancho con recubrimiento de sinc. que las
hace resistentes a la acción corrosiva del
medioambiente. Para concretar su proyecto.
basta con doblar hacia arriba algunos
centimetros a cada lado, como se muestra
en la figura
Answers
Answer:
Plz use english language so that we all can understand and solve it..
Step-by-step explanation:
and i am sry bcoz i can't understand your language
find the value of the angles marked 'x' and 'y'
Answers
Answer:
x=120 y=60
Step-by-step explanation:
Interior angle of a hexagon = 120
Straight line = 180
180-120=60
Use exterior angles to solve for interior angles.
Answers
Answer:
I could be mistaken but I believe that x= 42.5
Step-by-step explanation:
To find this, you solve for 4x+10=180.
This is because the total angle measure of line RD should be 180 degrees.
When you solve this equation, you get 42.5 for X
A car that was bought for $23,700 nine years ago was offered for sale at
$4,125. Because the car had some body rust, the buyer asked the seller
to reduce the price by $350. The seller agreed. The buyer paid $167 in
registration fees and a 6% sales tax. What was the total cost of this car to
the buyer?
Answers
Answer:
$4,168.50
Step-by-step explanation:
Knowing that the price offered is $4,125, it was deducted by $350, and there is a 6% sale tax.
$4,125 -$350= $3,775
$3,775(1.06)= $4,001.50
$4,001.50 +$167= $4,168.50
3 points
A rectangular prism and a cylinder have the same height. The length of each side of the prism base is equal to the diameter of the cylinder. Which shape has a greater
volume? Use the drop-down menus to explain your answer.
Volume of a Rectangular Prism: V = lwh
Volume of a Cylinder: V = ²h
✓has the greater volume because the choose your answer... V
The choose your answer...
extra space between the two figures.
fits within the
choose your answer....
with
Answers
The rectangular prism has a greater volume than the Cylinder.
Since the rectangular prism has a greater volume than the cylinder because the rectangular prism fully occupies the space within its boundaries, while the cylinder has empty space above and below it.
The cylinder is rounded shape leaves gaps between its curved surface and the boundaries of the rectangular prism.
Therefore, the rectangular prism could hold more volume than the cylinder as it utilizes the entire space within its shape efficiently.
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Identify the initial amount a and the growth factor b in the exponential function. f(x) = 620 • 7.8x
Answers
Answer:
Initial amount (a)= 620
Growth factor (b)= 7.8
Step-by-step explanation:
620 is the initial amount and is multiplied by 7.8 x which is the growth factor.
Compute the following using a calculator.
csc(203∘)
Round your answer to the nearest thousandth, and only include the numerical value in your answer - do not write cscθ= in your response.
Answers
Using a calculator, the value of csc (203°) is -1.086
How to compute csc (203°) using a calculator?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
Since csc (203°) = 1/[sin (203°)]
Press 1/ [sin (203°)] and then the equal to button on your calculator. We have:
1/[sin (203°)] = -1.086
Note: If you calculator have "cosec" or "csc" button, you can simply press cosec (203°) or csc (203°) to get the answer.
Thus, the value of csc (203°) is -1.086
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Suppose you multiplied the cereal box dimensions in a different order:First, (x)(4x+3)=7x7x²4x² + 34x² + 3x
Answers
Explanation
If we are to simplify
\((x)(4x+3)\)We remove the parenthesis
So that
\(\begin{gathered} =x\times4x+x\times3 \\ \\ =4x^2+3x \end{gathered}\)Thus, the answer is 4x² + 3x
there's 240 candy bars 1/4 of candy bars are snickers 1/3 of the candy bars are twix 1/8 of the candy bars are hershey. how many candy bars are Mars? explain not with a lot of words but in numbers please.
Answers
Answer:
you have to add all the fractions of the candy1/4+1/3+1/8
=17/24
subtract from 1Step-by-step explanation:
1-17/24
=7/24
multiply with the total number of candy7/24×240
=70
Write as many equations as possible that could represent the relationship between
the ages of the two children in each family described. Be prepared to explain what each part of your equation represents.
a.) In Family A, the youngest child is 7 years younger than the oldest, who is 18.
b.) In Family B, the middle child is 5 years older than the youngest child.
Answers
Answer:
a) Here we have:
"In Family A, the youngest child is 7 years younger than the oldest, who is 18"
Let's define:
Y = age of the youngest child.
O = age of the oldest child.
Then we know that:
Y = O - 7
O = 18
Then we can replace the second equation into the first one:
Y = 18 - 7 = 11.
b) Here we have:
"In Family B, the middle child is 5 years older than the youngest child."
Let's define:
Y = age of the youngest child.
M = age of the middle child.
Here we have only one equation:
M = Y + 5.
Answer:
your answer is....
Step-by-step explanation:M = Y + 5.
if the cost price of 18 cycles is equal to selling price of 16 cycles .find the gain or loss percentage
Answers
Answer:
Gain%=12.5%
Step-by-step explanation:
I ASSUMED COST PRICE=Rs.100
a rectangular prism has length x, width x/2 and height x/3. Which expression represents the volume of the prism?
Answers
Answer:
x^3 / 6
Step-by-step explanation:
Multiply the three dimensions to get the volume
x * x/2 * x/3 =
The expression represents the volume of the prism that will be, x³/6. The expression is obtained by finding the volume of the rectangular prism for the given data.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that, the length is x, width x/2, and height is x/3.
The volume of the rectangular prism is the product of the length, width, and height.
V= length × width × height
V=x × x/2 × x/3
Apply the multiplication operation in the fraction
Simply multiply the numerators to obtain the product's numerator and the denominators to obtain the product's denominator in order to multiply two fractions.
V=x³/6
Thus, the expression represents the volume of the prism that will be, x³/6. The expression is obtained by finding the volume of the rectangular prism for the given data.
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Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?
A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by.
Select all that apply.
You know the difference in the distances the boys ran, so this is a subtraction problem.
You are finding the total distance the boys ran, so this is an addition problem.
Dean ran part of the distance Sam ran, so this is a multiplication problem.
The correct equation is s + 2.3 = 6.8.
The correct equation is s – 2.3 = 6.8.
The correct equation is 2.3s = 6.8.
Answers
Answer:
A,E
Step-by-step explanation:
Operation: Minus
To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.
6.8 km - 2.3 km = 4.5 km
Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.
Answer:
a and e
Step-by-step explanation:
got it right on homework
Two parallel lines are crossed by a transversal.
What is the value of d?
Answers
The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.
What is a Transversal?In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.
The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.
Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°
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