The equation states that the total amount in the savings account will be equal to the initial deposit .The value 1,500 represents the initial amount deposited into the savings account.
The equation A = 1,500 + (1 + 0.06/2)^2t represents the amount of money earned on a compound interest savings account. The value 1,500 represents the initial amount that was deposited into the savings account. The equation states that the total amount in the savings account will be equal to the initial deposit (1,500) plus the amount that is earned by compounding the interest rate on the initial deposit. This is calculated by first adding the initial deposit (1) to the interest rate (0.06/2). This sum is then raised to the power of 2 times the number of years (t) the money has been in the account. This total amount is then added to the initial deposit (1,500) to give the total amount earned on the savings account.
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Answer:
The value 1,500 represents the initial value, which means the account started with a balance of $1,500.
Step-by-step explanation:
I got it right.
Geometry Please hurry
How do you see it? The diagram shows part of the Wheel of Theodorus.
Answer:
it is given that diagram shows part of the Wheel of Theodorus. graphics for exercise 20 page 428 geometry part (a). It is required to identify which ...
Step-by-step explanation:
a circle has a radius of sqrt37 units and is centered at 1.3,-3.5
Answer:
80
Step-by-step explanation:
Answer:
(x-1.3)^2 + (y+3.5)^2 = 37
In general, (x-c)^2 + (y-k)^2 = r^2 where (c,k) is the center and r is the radius.
So if the circle with radius 5 has center (3,-4) then it's equation is:
(x-3)^2 + (y+4)^2 = 25
Notice that the second term is (y+4)^2 because the y-coordinate is -4 and y-(-4) = y+4
John pays for a Disney annual pass each month. He was charged $150 as a down payment, and each month he pays $28. Create an equation to represent the total cost, y of his annual pass. What is the y-intercept?
Lin got a $50 gift card to an online music store.
She bought an album for $9.99.
She also wants to use the gift card to buy some songs.
Each song costs $1.29.
Which inequality matches this situation? (Hint: nis the number of songs)
9.99 + 1.29n > 50
O 9.99 - 1.29n > 50
o 9.99 + 1.29n < 50
Step-by-step explanation:
I Hope it may help u
if yes glad to help you
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Answer:
OP/PN = LM/MN
Step-by-step explanation:
We can prove triangle ONP is similar to LNM due to Angle-Angle similarity. Now, OP to LM = PN to MN. OP/LM = PN/MN, OP/PN = LM/MN
The mean of five numbers is 8.2. Four of the numbers are 8, 10, 12 and 10.
Work out the fifth number.
The arity typically assumed to be limited. The "typical" operations of finite dimensionality are referred to as the finiteary operations when infinitary operations are taken into consideration. The mean of the five numbers is 8.2, four of numbers are 8, 10, 12 and 10. The fifth number is 1.025.
What is mathematical operation?An operation, often known as a "operand" or "argument," is the function in mathematics that converts zero or more input values into a clearly defined output value. The operation's arity is determined by number of operands.
Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are operations that are most frequently studied. A constant is operation with arity zero, often known as a nullary operation. An example of operation of arity 3, sometimes known as a ternary operation, is the mixed product.
The arity typically assumed to be limited. The "typical" operations of finite dimensionality are referred to as the finiteary operations when infinitary operations are taken into consideration.
Similar to an operation, but with partial function in place of a function, is the definition of a partial operation.
The mean of five numbers is 8.2. Four numbers are 8, 10, 12 and 10.
Let the number be x,
\(\frac{8+10+12+10+x}{5} = 8.2\)
x= 1.025
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Can someone help me with this wuestion please
Someone pls help... On November 1st there were 2500 boxes in a warehouse. On December 1st there were 15% fewer boxes in the warehouse than there were on November 1st. On January 1st there were 20% more boxes in the warehouse than there were on December 1st. How many boxes were in the warehouse on January 1st.
Answer:
Nov 1st: 2500 boxes
Dec 1st: 15% fewer boxes which is 2500 x (1- \(\frac{15}{100}\) ) = 2125
On January 1st: 20% more boxes which is 2125 x (1+ \(\frac{20}{100}\) ) = 2550 is the number of boxes
Step-by-step explanation:
Help please I need help
Answer: B
Step-by-step explanation:
If P is say 2, then P divided by two would be one.
Answer:
B. 2
Step-by-step explanation:
By dividing each of the top numbers by 2, you get the results on the bottom. Therefore, 2 is the correct answer.
On a coordinate plane, 2 rectangles are shown. Rectangle A B C D has points (negative 10, 8), (negative 4, 8), (negative 4, 4), (negative 10, 4). Rectangle W X Y Z has points (4, negative 4), (7, negative 4), (7, negative 12), (4, negative 12). Are rectangles ABCD and WXYZ congruent? Why or why not? Yes, all right angles were preserved. Yes, both rectangles have an area of 24 square units. Yes, a 180° rotation about the origin will map ABCD to WXYZ. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Answer:
its D
Step-by-step explanation:
D
Answer:
D. Yes, a 180° rotation about the origin will map ABCD to WXYZ. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Step-by-step explanation:
PLEASEEEE
In a waterskiing competition, a jump ramp has a length of 25 ft. and the angle between the ramp and the water is 22° What is the height of the
ramp to the nearest tenth of a foot? Round your answer to the nearest tenths
Work Shown:
sin(angle) = opposite/hypotenuse
sin(22) = x/25
x = 25*sin(22)
x = 9.3651648353978
x = 9.4
Your calculator needs to be in degree mode. One way to check is to compute sin(30) and you should get 0.5 or 1/2.
How do you find the area of a rhombus without diagonals?
The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.
The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.
The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.
It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.
Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.
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find the area of the semicircle
Answer:
77 this answer is rounded to the nearest tenth
Step-by-step explanation:
The formula for the are of a circle is A=πr² so thats π7² which is equaled to about 153.9 since this is a semicircle you'd divide that by two giving you 76.96902.
For this question, you will be answering by filling in the blanks. Please be aware that your answer must include any commas or decimals in their proper places in order to be correct. The dollar signs have been provided. For example, if the answer is $1,860.78, then you will enter into the blank 1,860.78. Do not place any extra spaces between numbers, commas, or decimal places. Round any decimals to the nearest penny when the answer involves money, so that $986.526 would be typed into the blank as 986.53 and $5,698.903 would be typed into the blank as 5,698.90.
Expense
Amount
Rent payment
$953.20/month
Auto payment
$165.87/month
Telephone
$56.98/month
Auto insurance
$714.36/six months
Once-a-week outing
$35.00/week
Your realized income is $2,412.54/month. How much discretionary monies do you have each month?
The total discretionary money every month is $1,117.43.
What is discretionary money?This is the amount of money after paying for necessary products and other obligations. This includes:
FoodHousingTaxesHow to calculate the discretionary money?Discretionary money = Total income - money spent on taxes and basic expenses.
Basic expenses:
Rent: $953.20Auto payment: $165.87Telephone: $56.98Autoinsurance: $714.36 every six months / 6 months = 119.06Total: 1,295.11Discretionary money = Total income - money spent on taxes and basic expenses.
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HELP I NEED HELP FAST!!!!
PLEASE ANSWER:)
Answer:
y = -5x - 5
Step-by-step explanation:
to get the coefficient of the 'x' term (which is the slope) you take the difference of the y-values [5 - (-5)] divided by the difference of the x-values (-2 - 0)
so slope = 10/-2 or -5/1
to get the -5, this is the point at which the line intersects the y-axis; from looking at the graph you can see this is -5
a class has nine boys and eleven girls. any two boys will fight if they are next to each other. how many ways can the teacher line up the students so that no two boys stand next to each other? byju's
The teacher can line up the students in 3991680 ways so that no two boys stand next to each other.
Given, A class has nine boys and eleven girls.
Any two boys will fight if they are next to each other.
Ways can the teacher line up the students so that no two boys stand next to each other:
The total number of students = 9 + 11 = 20.
To count the total number of arrangements such that no two boys stand next to each other, we will count the total number of arrangements of all students and then subtract the arrangements where two boys are together.
Let's take two cases :
1. Case 1: When a girl stands on both ends, there are 11 ways to do this.
After placing the girls, the number of possible ways to arrange boys in such a way that no two boys are standing next to each other can be calculated using the permutation formula.
(n - r + 1)P(r) = (9 - 1 + 1) P(9) = 9P9 = 9!
Thus, the total number of arrangements in this case = 11 × 9!
2.Case 2: When a boy stands on one end and a girl on the other, there are 2 ways to do this.
After placing the girl and boy, the number of possible ways to arrange boys in such a way that no two boys are standing next to each other can be calculated using the permutation formula.
(n - r + 1)P(r) = (9 - 1)P(8) = 8P8 = 8!
Thus, the total number of arrangements in this case = 2 × 8!
Thus, the total number of arrangements in which no two boys stand next to each other is = (11 × 9!) + (2 × 8!)
= 11 × 362880 + 2 × 40320= 3991680.
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Geometry Question: If the median to a side is a triangle is also an altitude to that side, then the triangle is isosceles. (#8 in picture)
8.
A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side of the vertex. So:
\(\begin{gathered} AM\cong MB \\ MC\cong CM_{\text{ }}Reflexive_{\text{ }}property \\ m\angle AMC\cong m\angle BMC_{\text{ }}Perpendicular_{\text{ }}bisector \end{gathered}\)Therefore:
\(\Delta AMC\cong\Delta BMC_{\text{ }}SAS_{\text{ }}Theorem\)\(m\angle CAM\cong\angle CBM_{\text{ }}CPCTC\)We can conclude that:
\(\Delta ABC\)Is an isosceles triangle
if the marks of students in a class are [110,70,30,80,90,64] then what is the median of these marks?
Answer:
The Median is 75
Step-by-step explanation:
Medianmedian is the middle number in a set of given numbers
arranging in order will be
30,64,70,80,90,110
the middle numbers are 70 and 80
Median=80+70/2
=150/2
Median=75
simplify -4(n+9)
A) -4n-36
B)-4n+9
C)-4n-9
A) -4n-36
You multiply -4 by n, which is -4n, and -4 by 9, which is -36
Simplify \[ -10 x^{2}+4 x-7 x^{2}+5 \]
Algebraic expressions are mathematical statements made up of variables, constants, and operations, which can be simplified to -17x²+4x+5.
Given expression: -10x²+4x-7x²+5.A mathematical statement made up of variables, constants, and mathematical operations is known as an algebraic expression. It stands for a mixture of numbers and letters, where the letters are called variables and they can have various values. In algebra, relationships are represented and calculations are done using algebraic expressions.
The given expression can be simplified as:
Adding the like terms together,
we get,-10x²-7x²+4x+5
= -17x²+4x+5
Thus, the simplified expression is -17x²+4x+5.
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In the vector space of all real-valued functions, find a basis for the subspace spanned by {sin t, sin 2t, sint cos t}.A basis for this subspace is {sint, sin 2t).
A basis for this subspace is (sin t, sin 2t).
To find a basis for the subspace spanned by {sin t, sin 2t, sint cos t}, it is first necessary to determine if it is a subspace of the vector space of all real-valued functions.
A subspace must satisfy the following properties:
The zero vector of the vector space is in the subspace.The subspace is closed under vector addition.The subspace is closed under scalar multiplication.Once it has been established that the subset satisfies these properties, it is necessary to determine the basis for the subspace. A basis is a linearly independent subset of vectors that span the subspace. The three conditions necessary are :
The zero vector of the vector space is in the subspace. To prove this, it is necessary to show that the linear combination of the subset that results in the zero vector can be expressed in terms of the vectors that make up the subset.
0 = a sin t + b sin 2t + c sint cos t
This can be rearranged to:
sin t (-a - c cos t) + sin 2t (-b) = 0
Therefore, a + c cos t = 0 and b = 0.
Substituting these values back into the equation 0 = a sin t + b sin 2t + c sint cos t yields:
0 = a sin t + c sin t cos t
Factorizing sin t out of the equation yields:
0 = sin t(a + c cos t)
Therefore, either sin t = 0, a = 0, and c = 0 or a = -c cos t.
Since sin t is never zero, the only possibility is a = 0 and b = 0 and c = 0.
Therefore, the zero vector of the vector space is in the subspace.
Next, we need to prove that the subspace is closed under vector addition. To prove this, it is necessary to show that the linear combination of two vectors in the subset is still in the subset.
a sin t + b sin 2t + c sin t cos t + d sin t + e sin 2t + f sin t cos t= (a+d)sin t + (b+e)sin 2t + (c+f) sin t cos t
Substituting these values back into the equation shows that it is closed under vector addition.
Next we need to show that the subspace is closed under scalar multiplication.To prove this, it is necessary to show that the linear combination of a vector in the subset with a scalar is still in the subset.
k a sin t + k b sin 2t + k c sint cos t= (k a) sin t + (k b) sin 2t + (k c) sint cos t
Substituting these values back into the equation shows that it is closed under scalar multiplication.
Since the subset satisfies the three properties, it is a subspace of the vector space of all real-valued functions.
Thus a basis for this subspace is (sin t, sin 2t).
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What is 130% of 56g?
The answer would be 72.8 grams
If the interior angle of triangle are 3x,4x,and5x find the ize of angle of the traingle. Alo fing the difference between larget and malleat angle
Answer:
45, 60, 75
Difference between the largest and smallest angles
75 - 40 = 35
Step-by-step explanation:
First solve for x. The sum of the interior angles of a triangle is 180
3x + 4x + 5x =180 Combine like terms
12x + 180 Divide both sides by 12
\(\frac{12x}{12}\) = \(\frac{180}{12}\)
x = 15
3x = 3(15) = 45
4x = 4(14) = 60
5x = 5(15) = 75
Step-by-step explanation:
please, burn this into your brain for life :
the sum of all angles in a triangle is always (yes, no exceptions) 180°.
so,
3x + 4x + 5x = 180
12x = 180
x = 180/12 = 15
3x = 3×15 = 45°
4x = 4×15 = 60°
5x = 5×15 = 75°
the difference between largest and smallest angle is therefore
75 - 45 = 30°
how many ways are there to select a committee of five members of the department if at least one woman must be on the committee?
Answer: 16
Step-by-step explanation:
I need help!! 100 points! Please don't scam, I will report and take away these points!
Answer:
A angle 7 is 6 inches
B angle 8 is 7 inches and 5 inches wide
C angle 3 is an obtuse angle, 6 inches and 9 inches wide
A clinical trial is conducted to compare an experimental medication to placebo to reduce the symptoms of asthma. Two hundred participants are enrolled in the study and randomized to receive either the experimental medication or placebo. The primary outcome is self-reported reduction of symptoms. Among 100 participants who received the experimental medication, 38 reported a reduction of symptoms as compared to 21 participants of 100 assigned to placebo. We need to generate a 95% confidence interval for our comparison of proportions of participants reporting a reduction of symptoms between the experimental and placebo groups. What is the point estimate and 95% confidence interval for the RELATIVE RISK of participants reporting a reduction of symptoms in the experimental condition as compared to the and placebo condition. RR = 1.8 95% CI (0.14 1.05) RR-23 95% CI(0.38,1.29) O RR = 1.8 95% CI (1.15,2.85) RR-0.60 95% CI (1.04, 1.68)
The risk factor is 1.8 and the Confidence level is (0.60, 2.85).
To calculate the relative risk (RR) and its 95% confidence interval for the participants reporting a reduction of symptoms in the experimental condition compared to the placebo condition, we can use the following formula:
RR = (a / b) / (c / d)
where a is the number of participants in the experimental group who reported a reduction of symptoms, b is the number of participants in the experimental group who did not report a reduction of symptoms, and c is the number of participants in the placebo group who reported a reduction of symptoms, and d is the number of participants in the placebo group who did not report a reduction of symptoms.
In this case, a = 38, b = 62, c = 21, and d = 79. So we have:
RR = (38 / 62) / (21 / 79) = 1.8
To calculate the 95% confidence interval for RR, we can use the following formula:
log(RR) ± 1.96 * √(1/a + 1/b + 1/c + 1/d)
Taking the antilogarithm of both sides of the inequality, we have:
RR- = exp(log(RR) - 1.96 * √(1/a + 1/b + 1/c + 1/d))
RR+ = exp(log(RR) + 1.96 * √(1/a + 1/b + 1/c + 1/d))
Substituting the values, we get:
RR- = exp(log(1.8) - 1.96 *√(1/38 + 1/62 + 1/21 + 1/79)) = 0.60
RR+ = exp(log(1.8) + 1.96 * √(1/38 + 1/62 + 1/21 + 1/79)) = 2.85
Therefore, the 95% confidence interval for RR is (0.60, 2.85).
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HELP PLEASEE!! What is the value of x in the triangle?
its a hypotenuse triangle with 3√2 on one side and x
answers:
a, 3 √2
b. 3
c. 6
d. 6 √2
e. 2 √2
Answer:
its mostly 6
Step-by-step explanation:
but did they give a answer sheet?
A taxi ride costs $10 plus an additional $1.75 for each mile traveled. Write an expression that gives the total cost of a ride for any number of miles,
Let's define the next variable
x: number of miles
Then, the expression that gives the total cost is 10 + 1.75x
Write the equation of the line passing through point (-5, -4) and parallel to y = -3
A line parallel to a horizontal line is also horizontal.
The equation of the line parallel to
\(y=-3\)is of the form
\(y=b\)Since, the line passes through (-5,-4), the value of b is -4
So, the required equation is
\(y=-4\)Hence, the correct option is (c)
I will just put the picture instead of writing it down.
Let's begin by listing out the given information:
2.
a)
\(5g\Rightarrow5\cdot g\)b)
\(11mp\Rightarrow11\cdot m\cdot p\)