Answer:
39
Step-by-step explanation:
G is the midpoint of the line FH, FH=2*GH. 9x+15=10x+8, x=7, FG=39
On August 8, 1981, American Savings offered an insured tax-free account paying 23.24% compounded monthly. If you had invested $90,000 at that time, how much would you have on August 8, 2014, assuming that you could have locked the interest rate at the time of deposit? Someone please help me!!
Answer:
$181,432,754
Step-by-step explanation:
We use the formula for compound interest here, to determine the amount
Mathematically, that would be;
A =I (1 + r/n)^nt
where A is the amount which we want to calculate
I is the initial amount which is $90,000
r is the rate = 23.24% = 23.24/100 = 0.2324
n is the number of times per year the interest is compounded = 12 (compounded monthly)
t is the number of years = 2014 - 1981 = 33
Substituting these values, we have;
A = 90,000(1 + 0.2324/12)^(33 * 12)
A = 90,000(1 + 0.0194)^396
A = 90,000(1.0194)^396
A = 181,432,754.27210504
Which is approximately $181,432,754 to the nearest whole dollars
1. Julia wants to buy a parcel of land in Montana so that she can raise bison. If the minimum down
payment on the land is $25,000, find the amount she must invest now at 8%, compounded quarterly,
to have her down payment in 4 years. Use the table of values below.
$16,542.98
$17,230.91
$19.235.12
O$18.211.25
Julia needs to invest $4,901.43 every quarter for 4 years to have a down payment of $25,000. Checking the table of values, we see that the closest answer is $4,542.98, so that is the amount she needs to invest.
How did we get this value?We can use the formula for the future value of an annuity with regular deposits to find the amount that Julia needs to invest now:
FV = P * ((1 + r/n)^(n*t) - 1) / (r/n)
where:
P = quarterly deposit
r = annual interest rate = 8%
n = number of compounding periods per year = 4 (quarterly)
t = number of years = 4
FV = future value of the annuity (i.e. the down payment)
We want to solve for P, which is the amount Julia needs to invest each quarter. Rearranging the formula, we get:
P = FV * (r/n) / ((1 + r/n)^(n*t) - 1)
Substituting the given values, we get:
P = 25,000 * (0.08/4) / ((1 + 0.08/4)^(4*4) - 1)
P ≈ $4,901.43
So Julia needs to invest $4,901.43 every quarter for 4 years to have a down payment of $25,000. Checking the table of values, we see that the closest answer is $4,542.98, so that is the amount she needs to invest.
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URGENT PLEASE: You purchase a new guitar and take out a loan for $450. You have 18 equal monthly payments of $28 each. What is the simple interest rate for the loan? Round to the nearest tenth of a percent, if necessary.
Cuales expresiones son equivalentes
The expressions that are equivalent are:
3x + 4x + 9 = 8
9x + 12x + 27 = 24
x + (4/3)x + 3 = 8/3
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.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Solve for x.
1)
3x + 4x + 9 = 8
7x + 9 = 8
7x = 8 - 9
7x = -1
x = -1/7 _____(1)
2)
9x + 12x + 27 = 24
21x + 27 = 24
21x = 24 - 27
21x = -3
x = -3/21
x = -1/7 ______(2)
3)
x + (4/3)x + 3 = 8/3
(3x + 4x)/3 + 3 = 8/3
(7/3)x + 3 = 8/3
(7/3)x = 8/3 - 3
(7/3)x = (8 - 9)/3
(7/3)x = -1/3
x = -1/3 x 3/7
x = -1/7______(3)
4)
6x + 8x + 18 = 8
14x = 8 - 18
14x = -10
x = -10/14
x = -5/7 ______(4)
Thus,
The expressions that are equivalent are:
3x + 4x + 9 = 8
9x + 12x + 27 = 24
x + (4/3)x + 3 = 8/3
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The complete question.
3x + 4x + 9 = 8
9x + 12x + 27 = 24
x + (4/3)x + 3 = 8/3
6x + 8x + 18 = 8
Which expression are equivalent?
You bought a book for R300 and sold it a year later for R240. What is the loss
Answer:
R60 is the answer to your question
given that £1 = $1.62
how much is £650 in $
Answer:
$1053
Step-by-step explanation:
If we have that £1 = $1.62, then we can multiply both sides by 650 in order to get £650 on the left side of the equality. We must multiply the right side also by 650, and so we get £650=$1.62 * 650.
To do this multiplication, we can break 1.62 down simply into $1.00 +$0.6+$0.02
650*$1.00=$650, 650*$0.6=650*6/10=65*6=$390, and 650*$0.02=650*2/100=6.5*2=$13.
When we add these three products together, we get $650+$390+$13=$1053. And so, £650=$1053
The base of the pennant measures 3 inches and the height of the pennant measures 5 inches if austin is covering the pennant with paint how much of the surface will be covered?
Austin needs to cover 15 square inches of surface area with paint in order to finish the task.
The area of the pennant is the length times the width, which is 3 inches times 5 inches. This gives us 15 square inches of surface area to be covered. To calculate the amount of paint needed, we first need to calculate the area of the pennant. The formula for area is area = length x width. Plugging in the measurements for the base and height of the pennant, we get 15 square inches of surface area. This means that Austin needs to cover 15 square inches of surface area with paint in order to finish the task.
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Lines l and m are parallel. Find the value of x.
enter just the number
Answer:
its x
Step-by-step explanation:
Feri invests some money.
The rate of interest for the first year is 2.5%.
At the end of the second year the overall percentage increase of Feri's investment is 6.6%.
Find the rate of interest for the second year.
The rate of interest for 2nd year is 4.1%
How to find the interest rate for the second yearFrom the given parameters;
Rate of interest for 1st year = 2.5
As we know the formula for Simple interest is given by
=> I = (PTR)/100
We will use this formula in the following problem
Let 100 be Feri's investment
At the Rate of interest of 2.5
Interest on 100 = [(100(1)(2.5)]/100 = 2.5
Total amount at end of 1st year = 100 + 2.5 = 102.5
Let x be the rate of interest for 2nd year
At the rate of interest of x
interest on 100 = [(100(1)(x)]/100 = x
Total amount at end of 2st year = 102.5 + x
Given that, at end of the 2 years, the rate of interest becomes 6.6%
Interest on 100 at the rate of 6.6%
=> [(100(1)(6.6)]/100 = 6.6
=> total amount = 100 + 6.6 = 106.6
As we know in both cases, the amount must be equal
=> 102.5 + x = 106.6
=> x = 4.1
Therefore, The rate of interest for 2nd year = 4.1
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Find the demand function for the marginal revenue function. recall that if no items are sold, the revenue is 0.
R′(x)=0.06x2−0.05x+138
The required demand function for the marginal revenue function is P = 0.02x² - 0.025x.
What is demand function for the marginal revenue function?Marginal Revenue is the revenue that is gained from the sale of an additional unit. It is the revenue that a company can generate for each additional unit sold; there is a marginal cost attached to it, which must be accounted for.
According to question:The marginal revenue function, find the demand capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .
Considering that,
We need to find for the peripheral income capability, find the interest capability.
Recollect that the pay is zero assuming no things are sold:
R'(x) = 0.06x² - 0.05x + 138
p(x) is what.
That's what we know,
MR = dTR/dx = 0.06x² - 0.05x + 138
Incorporating the marginal revenue function , we get complete income capability,
MR = TR
= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 138x
= (0.06x³)/3 - (0.05x²)/2 + 138 x
TR = 0.02 x³ - 0.025 x² + 138 x
TR = (P)(Q) = (P)(x) = 0.02 x³ - 0.025 x² + 138 x
P = ( 0.02 x³ - 0.025 x² + 138 x)/x
P = 0.02x² - 0.025x + 138
In this manner, The marginal revenue function, find the interest capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .
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The number of pancakes y is proportional to the cups of pancake mix x that is used to make the pancake batter. The pancake batter will make 10 pancakes when 2 cups of pancake mix is used. Write an equation that represents the situation.
Answer:
y=5x
Step-by-step explanation:
10=m x 2
m=5
Brainliest?
Answer: For the first one, it’s y=5x and even though you didn’t put it, for the second question, it’s 30 dollars
Step-by-step explanation:
1. 10/2=5. Y=5x
2. 5*5 = $25.00
The store randomly chose two surveys, one at a time, where the first survey is replaced before the second survey is chosen. What is the probability that both surveys chosen are in favor of buying a circular saw for this question?
Probability of both events happening (i.e., both surveys being in favor of buying a circular saw) is 9/625, so correct option is B.
Describe Probability?Probability is a branch of mathematics that deals with the study of random events and their outcomes. It is the measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.
In probability theory, an event is any possible outcome or set of outcomes of a random experiment, such as rolling a dice, flipping a coin, or drawing a card from a deck. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
The probability of choosing a survey in favor of buying a circular saw in the first draw is 6/50, since there are 6 people who indicated that they are likely to buy a circular saw out of a total of 50 people surveyed.
After replacing the first survey, the probability of choosing a survey in favor of buying a circular saw in the second draw is also 6/50.
To find the probability of both events happening (i.e., both surveys being in favor of buying a circular saw), we multiply the probabilities of each event:
(6/50) * (6/50) = 36/2500 = 9/625
Therefore, the answer is B) 9/625.
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Lars read that there are about
210,000 grains of salt in one
teaspoon.
How is 210,000 written as a power
of ten?
A. 210 X 104
B. 21 X 104
C. 21 X 108
D. 2.1 X 10^
Answer
the answer is a
Step-by-step explanation:
if you randomly select a mechanical component, what is the probability that it weighs more than 11.5lbf
The probability that randomly selected mechanical component weighs: more than 11.5 lbf is 0.0099, less than 8.7 lbf is 0.3208, less than 5.0 lbf is 0.0228, between 6.2 lbf and 7.0 lbf is 0.1314, between 10.3 lbf and 14.0 lbf is 0.0436, between 6.8 lbf and 8.9 lbf is 0.3464.
We can use the standard normal distribution and z-scores to answer these questions:
P(X > 11.5) = P(Z > (11.5 - 8) / 1.5) = P(Z > 2.33) = 0.0099
Therefore, the probability that a randomly selected mechanical component weighs more than 11.5 lbf is 0.0099, or about 1%.
P(X < 8.7) = P(Z < (8.7 - 8) / 1.5) = P(Z < 0.47) = 0.3208
Therefore, the probability that a randomly selected mechanical component weighs less than 8.7 lbf is 0.3208, or about 32%.
P(X < 5.0) = P(Z < (5 - 8) / 1.5) = P(Z < -2) = 0.0228
Therefore, the probability that a randomly selected mechanical component weighs less than 5.0 lbf is 0.0228, or about 2%.
P(6.2 < X < 7.0) = P((6.2 - 8) / 1.5 < Z < (7 - 8) / 1.5) = P(-1.2 < Z < -0.67) = 0.1314
Therefore, the probability that a randomly selected mechanical component weighs between 6.2 lbf and 7.0 lbf is 0.1314, or about 13%.
P(10.3 < X < 14.0) = P((10.3 - 8) / 1.5 < Z < (14 - 8) / 1.5) = P(1.53 < Z < 2.67) = 0.0436
Therefore, the probability that a randomly selected mechanical component weighs between 10.3 lbf and 14.0 lbf is 0.0436, or about 4%.
P(6.8 < X < 8.9) = P((6.8 - 8) / 1.5 < Z < (8.9 - 8) / 1.5) = P(-0.47 < Z < 0.60) = 0.3464
Therefore, the probability that a randomly selected mechanical component weighs between 6.8 lbf and 8.9 lbf is 0.3464, or about 35%.
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____The given question is incomplete, the complete question is given below:
Suppose that the weight of a mechanical component is normally distributed with mean p = 8.0 Ibf and standard deviation = 1.5 lbf. Answer the following questions: 1. If you randomly select a mechanical component, what is the probability that it weighs more than 11.5 lbf? 2. If you randomly select a mechanical component, what is the probability that it weighs less than 8.7 lbf? 3. If you randomly select a mechanical component, what is the probability that it weighs less than 5.0 lbf? 5. If you randomly select a mechanical component, what is the probability that it weighs between 6.2 lbf and 7.0 lbf? 6. If you randomly select a mechanical component, what is the probability that it weighs between 10.3 lbf and 14.0 lbf? 7. If you randomly select a mechanical component, what is the probability that it weighs between 6.8 lbf and 8.9 lbf?
What is a correct expansion of (4x+1)(2x^2-2)
A. 4x*2x^2+4x*(-2)+1*2x^2+1*(-2)
B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)
C. 4x*2x^2+4x*(1)+1*2x^2+1*(-2)
Answer: B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)
Step-by-step explanation: Hope this help :D
Answer:
A. 4x * 2x^2 + 4x * (-2) + 1 * 2x^2 + 1 * (-2)
Step-by-step explanation:
We have the binomial (4x + 1)(2x^2 - 2) and are asked to see how it looks like expanded.
When solving binomials, we need to follow the FOIL method :
First - First number in first parenthesis multiplied by first number in second parenthesis
Outer - First number in first parenthesis multiplied by second number in second parenthesis
Inner - Second number in first parenthesis multiplied by first number in second parenthesis
Last - Second number in first parenthesis multiplied by second number in second parenthesis
If we follow the definitions given, we can find our correct answer and also see where all the other answers mess up at :
A. 4x*2x^2+4x*(-2)+1*2x^2+1*(-2)
This follows FOIL entirely from start to finish.
B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)
This did not follow the Inner part of FOIL.
C. 4x*2x^2+4x*(1)+1*2x^2+1*(-2)
This did not follow the Outer part of FOIL.
In the figure shown below,
DE || AB. What is the length of BE?
A. 24cm
B. 26 cm
C. 33 cm
D. 36 cm
Answer:
DE//AB, applying Thales theorem:
CD/DA = CE/EB
=> EB = DA x CE/CD = 39 x 12/18 = 26 cm
=> Option B is correct
Hope this helps!
:)
how many ""words"" can be formed by rearranging inquisitive so that u does not immediately follow q?
Total 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.
In the given question, we have to find how many "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.
The given word is INQUISITIVE.
The total alphabets in the word INQUISITIVE is 11.
Let us first count the words without U and then insert U wherever applicable.
Now without U we have total 10 alphabets and the alphabet I is repeated by 4 times.
So permutations is 10!/4! = 151,200
Now we need to put U, we can see its 11 alphabets but U should not follow Q so it becomes 10 alphabets.
Hence, Total number of words = 151,200*10
Total number of words = 1,512,000
Hence, 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.
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Find the sum of the interior angles of the dodecagon show work .
Answer:
[insert carefully drawn regular dodecagon]
Sum of interior angles = (n-2) x 180° Sum of interior angles = 10 x 180° = 1800°
Step-by-step explanation:
Answer:
1800
Step-by-step explanation:
By the Polygon Interior Angles Sum Theorem, the sum of the measures of the interior angles of a n sided convex polygon is (n-2)180.
A do-decagon has twelve sides. The sum of its interior angles will be (12-2)*180=10*180=1800.
What property is used to solve 3y = 12?
Answer:
division
you divide 3 into 12 getting you 4=y
Which equation has the solution x = 9? Select each correct answer.
3x + 2 = 25
24−2x=13
4 + 5x = 18
x3+7=8
2x−3=15
81x−3=6
Can somebody help me on 14?
I got show my work.
Answer:
14 boats 12 boats
Step-by-step explanation:
Answer:
haro
Step-by-step explanation:
Aiko:
\(\frac{5}{3}\)
5 shirts divided by 3 = 1.67
haro:
\(\frac{7}{4}\)
7 shirsts divided by 4=1.75
Therefore meaning Haro has a greater ratio for shirts to pants.
30/100 + 5/10
please help me.
Answer:
4/5
Step-by-step explanation:
hope it helped :)
______is there a commutative property of subtraction for rational numbers
No, there is no commutative property of subtraction for rational numbers. The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers.
The commutative property states that the order of the operands does not affect the result of an operation. For addition and multiplication, the commutative property holds true. However, for subtraction, the order of the operands does matter, and thus, the commutative property does not apply.
Let's consider an example to demonstrate this:
Take the rational numbers 3/4 and 1/2.
If we subtract 3/4 from 1/2, we have: 1/2 - 3/4 = (2/4) - (3/4)
= -1/4.
If we subtract 1/2 from 3/4, we have: 3/4 - 1/2 = (3/4) - (2/4)
= 1/4.
As you can see, the results are different when the order of subtraction is changed, indicating that subtraction does not follow the commutative property for rational numbers.
The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers. Changing the order of subtraction changes the result, making subtraction non-commutative for rational numbers.
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The commutative property does not apply to the operation of subtraction with rational numbers. This is because changing the order of the numbers in a subtraction operation will give a different result.
Explanation:In mathematics, the commutative property refers to the idea that the order in which numbers are used in an operation does not change the result of that operation. This property holds true for addition and multiplication but, unfortunately, it does not hold true for subtraction and division. For example, in subtraction, if we take two rational numbers such as 5 and 3, 5 - 3 is equal to 2, but 3 - 5 equals to -2. As you can see, changing the order of the numbers gives us different results, demonstrating that there is no commutative property of subtraction for rational numbers.
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the mid-state soccer conference has 6 teams. each team plays the other teams once. (a) how many games are scheduled?
The total number of games would be 15 games.
What are the Permutation and Combination?
Permutations and combinations are the various ways in which objects from a set can be selected to form subsets, generally without replacement. When the order of selection is a factor, this selection of subsets is called a permutation; when it is not, it is called a combination.
Consider each team playing with the other team once
Total number of games scheduled = Number of ways of selecting 2 from 6 teams
\(=^nC_r\\\\=^6C_2\\\\=\frac{6!}{2!*4!}\\\\=15\)
Hence the total number of games would be 15 games.
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4 Siobhan and Ralph shared £700 in the
ratio 2:3.
Siobhan gave a quarter of her share to Karen.
Ralph gave a fifth of his share to Karen.
What fraction of the £700 did Karen receive?
Therefore ,the solution to the given problem of proportion comes out to be karen got £70.
What is a proportion?The rule of three is used to link the measures because a proportion is a fraction of a total amount. It is possible to construct equation or relations between variables that are either direct (when both rise or decrease) or inverse proportional (when one increases and the other declines, or vice versa) in order to determine the necessary measures in the situation.
Here,
Given :
Siobhan and Ralph shared £700 in the
ratio 2:3.
Thus,
280 / 420 = 2/3
Thus,
Siobhan and Ralph has £280 and £420 respectively.
and Siobhan gave a share of quarter to karen :
So,
280/4 =70
Therefore ,the solution to the given problem of proportion comes out to be karen got £70.
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Polygons in the coordinate
In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.
How to know if it's a triangleFind the lengths of the three sides of the triangle using the distance formula.
Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.
If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.
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Write 60/105 in its simplest form.
Answer:ok
Step-by-step explanation:4/7
a candy factory makes 20% of all its candies with chocolate liquor. if we look at all random samples of 500 candies and compute the proportion of each sample that is made with chocolate liquor, what would the mean of these values be? 0.20 cannot compute it because the sample mean values are not given in the problem. 500 0.02
The mean proportion of samples made with chocolate liquor would be 0.20, which is the same as the population proportion.
The problem states that 20% of all candies produced by the factory are made with chocolate liquor. This means that the population proportion of candies made with chocolate liquor is 0.20.
If we take a random sample of 500 candies, we can calculate the proportion of candies made with chocolate liquor in that sample. This proportion is called the sample proportion.
The central limit theorem states that, as long as the sample size is large enough, the distribution of sample proportions will be approximately normal, with a mean equal to the population proportion.
In this case, the sample size is 500, which is large enough for the central limit theorem to apply. Therefore, the mean of all sample proportions will be equal to the population proportion, which is 0.20. Therefore, the answer is that the mean proportion of samples made with chocolate liquor would be 0.20.
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A sprinkler that sprays water in a circular area can spray up to a radius of 22ft what is the maximum area of lawn that can be watered by the sprinkler use 3.14 to approximate date for Pie enter your answer as a decimal rounded to the nearest tenth in the Box
[ ] ft^2
To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:
A = πr^2
Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:
A = 3.14 * (22)^2
A ≈ 3.14 * 484
A ≈ 1519.76
Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)
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all 3 pls it would help Options:Not a polygonConvex polygonConcave polygon
The shape is polygon if it closed by by finite number of side.
So circle is not a polygon.
The polygon is convex if all the interior angle of polygon is less than 180 degree and polygon is concave if any one angle is greater than 180 degree.
The second shape is closed by finite number of side and all the interior angles are less tha 180 degree so it is conved polygon.
The third shape is also closed by finite number of side but two of interior angle is more than 180 degree so shape 3 is concave polygon.
Answers:
Shape 1: Not a polygon.
Shape 2: Convex polygon
Shape 3" Concave polygon.