Answer: It is $4429 (interest combined) or $1107.25 (interest annually)
Step-by-step explanation:
1. Subtract 13400 from 17829:
17829 - 13400 = 4429
2. Now, we know that 4429 is the accumulated interest in 4 years, now divide 4429 by 4:
4429/4 = 1107.25
3. Now we know that 1107.25 is the interest accumulated every year.
(2x -1){2} = (x+1){2}
Answer:
X = 2
Step-by-step explanation:
4x-2 = 2x+2 multiply the brackets on both sides
4x-2x = 2+2 bring thes x's to one side & the constants to another side
2x = 4 simplify
X = 4÷2 divide
x = 2
susie and friends rent 3 life jackets and a boat. the life jacket rents for $5.00 each. the boat rents for $25.00 per hour. the total cost is $115. what is an equation that can be written to be present this situation? explain your steps.
PLEASE HELP!!
The equation that can be written to represent this situation is 15 + 25h = 115.
How to illustrate the equation?Let the number of hours be represented by h.
The equation will be:
(3 × 5) + (25 × h) = 115
15+ 25h = 115
It should be noted that 15 represents the cost of jackets
Therefore, the equation that can be written to represent this situation is 15 + 25h = 115.
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The equation that can be written to be present this situation is 115 = 25x + 15
How to use equation to represent a situation?Susie and friends rent 3 life jackets and a boat.
The life jacket rents for $5.00 each.
The boat rents for $25.00 per hour.
The total cost is $115.
The equation that can be written to be present this situation is as follows:
The equations should be linear.
Therefore,
y = mx + b
where
m = slopeb = y-interceptTherefore, the equations is as follows;
y = 25x + 15
115 = 25x + 15
where
x = number of hours you rent the boat.
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Find the missing term of each arithmetic sequence.14,..., 28, ...........
The missing terms of the given arithmetic sequence AP are 14, 21, 28, 35.
What exactly is arithmetic progression?An arithmetic progression (AP) is a sequence with the same distinctions between each successive term.
Each term (apart from the first) in an arithmetic progression is derived by adding a specific number to the term before the first one.For the initial term 'a' of an AP as well as the common difference 'd,' the very next arithmetic progression equations are frequently used to solve different AP problems.An AP's most common difference 'd': d = a2 - a1 = a3 - a2 = a4 - a3 =...... = a - an-1. nth term of an AP: an = a + (n - 1) dThe sum of an AP's n terms is: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l is the AP's final term.Now, in response to the question;
The arithmetic sequence.14,..., 28, ............
There are total 4 terms in the series.
Let the initial term is 'a₁' is given as 14.
Let the second term is 'a₂'.
Let the third term be 'a₃' which is given as 28.
Ans, the let the fourth term is represented as 'a₄'.
As, we know that in the AP, the difference of the two consecutive terms is equal and called as common difference.
Thus,
d = a₂ - a₁ ........(equation 1)
d = a₃ - a₂ .......(equation 2)
Thus, equating the two equation;
a₂ - a₁ = a₃ - a₂
Substituting the values;
a₂ - 14 = 28 - a₂
Simplifying the equation;
2a₂ = 28 + 14
2a₂ = 42
a₂ = 21.
Put the obtained value in equation 1 and find d.
d = a₂ - a₁
d = 21 - 14
d = 7
Now, estimate a₄.
a₄ = a₃ + d
a₄ = 28 + 7
a₄ = 35
Therefore, the complete arithmetic sequence is 14, 21, 28, 35.
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Suppose that e and f are two events and that p(e and f)=0.1 and p(e)=0.2. what is p(f|e)?
The Probability of P(F/E) is 0.5 .
Baye's Theorem helps in finding the conditional probability probability of an event A given that event B has already occurred.
For Example : The probability of event A given that event B has already occurred is denoted by P(A/B) and is calculated by
[tex]P(A/B)=\frac{P(A.and.B) }{P(B)}[/tex]
It is given in the question that
P(E and F)=0.1 and
P(E)=0.2
Using Baye's Theorem ,we get
[tex]P(F/E)=\frac{P(F .and .E)}{P(E)}[/tex]
Substituting the values ,we get
[tex]P(F/E)=\frac{0.1}{0.2}\\ \\ =\frac{1}{2} \\ \\ =0.5[/tex]
Therefore , the probability of P(F/E) is 0.5 .
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Find a₁ for each arithmetic series.Evaluate S₁₀ for the series x+(x+y)+(x+2 y)+ . . . . .
The sum of the first 10 terms of the arithmetic series x+(x+y)+(x+2 y)+ . . . . . is S(10) = 10x+45y
The given arithmetic series:
x+(x+y)+(x+2 y)+ . . . . .
Notice that:
a(1) = x
a(2) = x+y
a(3) = x+2y
We can find the common difference:
d = a(2) - a(1)
= (x+y) - x = y
Recall the formula for the nth term of an arithmetic series:
a(n) = a(1) + (n - 1) . d
Substitute n = 10, a(1) = x, and d = y into the formula:
a(10) = x + (10 - 1)y
a(10) = x+9y
Use the sum formula:
S(n) = n/2 [a(1) + a(n)]
S(10) = 10/2 [x + (x+9y)]
S(10) = 5 .(2x+9y)
S(10) = 10x+45y
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Please help i am not sure how to do this
A punch recipe calls for 12 cups of lemonade for every 4 gallons of orange juice.
The ratio of quarts of punch to cans of frozen orange is 3/2 with maintaining the ratio to make 4 quarts of a punch we need 2 2/3 cans of frozen orange.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Given that,
2 cans of frozen oranges are used to make 3 quarts of punch.
So,
quarts of punch/cans of frozen oranges = 3/2
Now with the same ratio if we use 4 quarts of punch
Then,
3/2 = 4/ cans of frozen orange
Cans of frozen orange = 4(2/3)
⇒ 8/3 = 2 2/3.
Hence " To make 4 quarts of a punch we need 2 2/3 cans of frozen orange".
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The grid above shows the graph of the parent function f(x)= |x| and a translated functions graph. Write the equation for the translated graph.
Using translation concepts, the equation for the translated graph is given by:
g(x) = |x + 2| + 1.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis, or rotations of a degree measure around the origin.
From the graph, we have that the parent function was:
Shifted left 2 units, hence x -> x + 2.Shifted up 1 unit, hence y -> y + 1.Hence, considering the parent function f(x) = |x|, the equation for the translated graph is given by:
g(x) = |x + 2| + 1.
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A quadrilateral has a perimeter of 12 and all of the side lengths are odd integers. What is the probability that the quadrilateral is a rhombus?
A quadrilateral has a perimeter of 12 and all of the side lengths are odd integer then the probability that the quadrilateral is a rhombus is 1/4.
What is perimeter ?If the midpoints of a rhombus with 12-inch sides are connected, a quadrilateral is created. A square with a 12-inch diagonal would be the quadrilateral that is constructed.
A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter. There are numerous practical uses for calculating the perimeter.
All four side lengths must be added up in order to determine the perimeter, or the distance around the rectangle. Since there are two of each side length, it is simple to multiply the total of the length and the breadth by two in order to accomplish this task efficiently.
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Three consecutive even integers are such that the sum of the smallest and three times the second is 38 more than twice the third. Find the largest integer.
The largest integer of the three even consecutive integers is 24
We have been given that there are 3 even consecutive integers.
Let the first integer be = x
Let the second integer be = (x+2)
Let the third integer be = (x+4)
According to the question, the equation according to the condition given will be
x + 3(x+2) = 38 + 2(x+4)
Solving the equation, the value of x will be
x + 3x + 6 = 38 + 2x + 8
4x + 6 = 46 + 2x
2x = 40
x =20
Hence, the integers are
first term = x =20
Second term = x+2 = 20+2 = 22
Third term = x+4 = 20+4 = 24
Thus the largest integers is 24
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The perimeter of a pool is 150m. the rectangle at the at the right is a scale drawing of the pool. the length of each square on the grid represents 1 cm. draw another scale drawing of the pool using 25 m to 2 cm.
Answer:
Step-by-step explanation:
The length and the width of the rectangle basee on the perimeter will be 2 and 4cm.
How to calculate the value?
From the given rectangle,
Length of the rectangle = 5 cm
Width of the rectangle = 10 cm
Ratio of length : width = 1 : 2
Perimeter of the rectangle = 2(l + b)= 150 cm
l + b = 75 -----(1)
Since, l : b = 1 : 2
b = 2l ------(2)
From equations (1) and (2)
l + 2l = 75
3l = 75
l = 75/3
l = 25 m
Width 'b' = 2(25) = 50 m
Now we have to draw a rectangle with a scale = 25 : 2
Therefore, the scale factor =
l = 2 cm
Similarly,
w = 4 cm
Now we can draw a rectangle with length = 2 cm and width = 4 cm.
A contractor purchases 6 dozen pairs of padded work gloves for $85.68. He incorrectly calculates the unit price as $14.28 per pair for the expense report. What is the correct unit price? What is the error?
With the information given, can you prove that this quadrilateral is a parallelogram?
Yes or No
PLEASE HELP
Answer:
yes
Step-by-step explanation:
there are two sets of parrelell line
i might have spelled it wrong
The parallelogram is ABCD with the sides AD parallel to BC
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the figure be represented as ABCD
Now , the sides AD and BC are parallel to each other
And , from the figure , we can say that the sides AB is parallel to CD
Therefore , the figure ABCD is a parallelogram
And , opposite sides of a parallelogram are parallel
Hence , the figure ABCD is a parallelogram
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Can someone help me! I have turned this is twice already and I am still getting it wrong. Write the numbers in decreasing order. 1.¯3, − 8/5, √13, π, −0.7
I keep saying the correct answer is √13, π, - 8/5, 1.¯3, -0.7
HOW IS THIS WRONG?!
The answer in ascending order is -8/5, -0.7, 1.⁻3, [tex]\pi[/tex], [tex]\sqrt{13}[/tex]
What is ascending order?
Ascending order refers to the arrangement of numbers in ascending order, from least to greatest. We must first compare numbers before we may arrange them in any order. Count how many digits are in each number. The number with the fewest digits is the smallest.
The numbers arranged in ascending order are
-8/5, -0.7, 1.⁻3, [tex]\pi[/tex], [tex]\sqrt{13}[/tex]
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Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. g(x)=-2 x²-3(x-2)
The function g(x) is a quadratic function:
Its quadratic term is -2x²Its linear term is - 3xIts constant is 6What are functions?Functions are algebraic expressions that have at least two variables, in order to make their visual representation through a graph and evaluate their behavior.
This problem deals with linear or quadratic functions, and these differ in the degree of the exponent of the variable:
1 : linear
2 : quadratic
The function:
g(x) = -2x² - 3(x- 2).
g(x) = -2x² - 3x + 6 , we have a quadratic function.
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How do you solve for x?
Answer: x=60/13
Step-by-step explanation:
The smaller triangle has the same proportions as the bigger triangle.
Hence, 13/12=5/x
13/12=5/x
13 * x/12=5
13x=5*12
13x=60
x=60/13
meaghan goes to the grocery store to buy hot dogs and hamburgers for a cookout. She buys a total of 6 packages for a total of $30.46. If a package of hot dogs costs $2.65 and a package of hamburgers costs $6.29, determine how many packs of each she bought.
The number of packs of hot dogs bought is 2 packs
The number of packs of hamburgers bought is 4 packs
How to calculate the number of each packs bought ?Let x represent the number of hot dogs bought and y represent the number of hamburgers bought
x + y= 6.........equation 1
2.65x + 6.29y= 30.46.........equation 2
From equation 1
x + y= 6
x= 6 - y
Substitute 6 - y for x in equation 2
2.65(6-y) + 6.29y = 30.46
15.9 - 2.65y + 6.29y = 30.46
3.64y = 30.46 - 15.9
3.64y= 14.56
y= 14.56/3.64
y= 4
Substitute 4 for y in equation 1
x + y= 6
x + 4= 6
x= 6 - 4
x= 2
Hence 2 packs of hot dogs and 4 packs of hamburgers were bought
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y varies directly with x . Explain your answer.If x is divided by 7 , what happens to y ?
The required value of y also gets divided by 7.
What is the constant of proportion?
A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.
Solving for the value of y
let k be the constant of proportion
When a quantity varies directly with other quantity, then we have a relation, y = kx
Now, find k for, some fixed value of x and y
Further, calculate y when x is divided by 7. In a general case, y will also be divided by 7 as both x and y varies directly.
Hence, the value of y also gets divided by 7.
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Identify the segment bisector of RS
The length of RS is
Answer:
The segment bisector of RS is KM and RS Lenght is 34CM
Step-by-step explanation:
17+17=34
What is the value of f(−1) when f(x)= 2 x + 2?
if f(x)=2x+2
and f(x)= -1
2(-1) +2
-2 + 2 =0
the value would be 0
Multiply (4.12 × 10^−9)(8.3 × 10^15). Write the final answer in scientific notation.
34.196 × 10^−134
3.4196 × 10^7
3.4196 × 10^−135
34.196 × 10^6
The product in scientific notation of (4.12 × 10^−9)(8.3 × 10^15) is 3.4196 * 10^7
How to evaluate the product in scientific notation?The product expression is given as
(4.12 × 10^−9)(8.3 × 10^15)
Rewrite properly as
(4.12 × 10^−9)(8.3 × 10^15) = (4.12 × 10^−9) * (8.3 × 10^15)
Evaluate the product of 4.12 and 8.3 in the above expression
So, we have
(4.12 × 10^−9)(8.3 × 10^15) = 34.196 * 10^−9 × 10^15
Evaluate the product of 10^−9 and 10^15 in the above expression
So, we have
(4.12 × 10^−9)(8.3 × 10^15) = 34.196 * 10^6
Rewrite the expression as
(4.12 × 10^−9)(8.3 × 10^15) = 3.4196 * 10^7
Hence, the product in scientific notation of (4.12 × 10^−9)(8.3 × 10^15) is 3.4196 * 10^7
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Answer:
Its B. 3.4196 x 10^7
Step-by-step explanation:
This is correct answer :))
Can you help me identify angle d?
Answer:
yes I need help
Step-by-step explanation:
I don't understand it very well.
Which expression is equivalent to rm ÷ rn? (4 points)
rm − n
rm + n
rm ⋅ n
rm ÷ n
By applying the exponent rule of division, the equivalent expression to [tex]r^m \div r^n[/tex] is: A. [tex]r^{m - n}[/tex].
How to Determine Equivalent Expressions?Given the expression, [tex]r^m \div r^n[/tex], we can find the expression that is equivalent to it by rewriting the expression as shown below:
r^m ÷ r^n
According to the exponent rule of division, if we are to divide two bases together that have the same same base but different exponents, what we only need to do is to subtract their powers.
We would apply this same rule in this given problem.
Applying the exponents rule of division, we would subtract the powers:
r^m ÷ r^n = r^(m - n)
Therefore, by applying the exponent rule of division, the equivalent expression to [tex]r^m \div r^n[/tex] is: A. [tex]r^{m - n}[/tex].
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6x+4<6 (x-9) solve the inequality
Answer:
No solutionsStep-by-step explanation:
6x + 4 < 6(x - 9) Distribute6x + 4 < 6x - 54 6x - 6x < - 54 - 4 Collect like terms0 < - 58 FalseFalse inequality, so no solutions.
If x=-3, then 4x²-7x+5=
A 2
B 14
C 20
D 42
E 62
The value of the polynomial at the point [tex]x=a[/tex], just replace [tex]x[/tex] with [tex]a[/tex] in the polynomial equation.
Verify the following equation:
[tex]=4x^{2} -7x+5[/tex]
The given solution:
[tex]x=-3[/tex]
[tex]4x^{2} -7x+5[/tex]
Find the equation:
[tex]4x^{2} -7x+5[/tex]
[tex]4(-3x)^{2} -7(-3)+5[/tex]
[tex]=4(9)+21+5[/tex]
[tex]=36+26[/tex]
[tex]=62[/tex]
Therefore,The option E [tex]62[/tex] is the correct answer
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PLS HELP QUICK
I NEED HELP
Answer:
B
Step-by-step explanation:
-20+-32.5= -52.5
-52.5+ 40= -12.5
Is it possible to find the area of a parallelogram by just multiplying the lengths of two adjacent sides?
Answer:
Yes.
Step-by-step explanation:
Is it possible to find the area of a parallelogram by just multiplying the lengths of two adjacent sides?
It is to find the area of a parallelogram by just multiplying the lengths of two adjacent sides. Let us now find a relation, if any, between the areas of two parallelograms on the same base and between the same parallels.
Determine the value for x in the equation x over 5 and 7 tenths equals 2 and 3 tenths.
Answer: i believe your answer is 21x=100
Step-by-step explanation: hope this helps
given aright triangle with legs a and b, hypnoses c, find the lenght of side b if =
c=9, a=7
The equation has one solution
which when substituted into the
A value of a that makes the equation true is
equation and simplified makes the equation turn into
which when substituted into the
A value of a that makes the equation false is
equation and simplified makes the equation turn into
Answer:
x+3=3+x
x+3=x+3
Step-by-step explanation:
