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HELP PLEASE I BEG
Juan had $19000 and chose to split the money into two different mutual funds. During the first year, Fund A earned 7% interest and Fund B earned 3% interest. If he received a total of $1042 in interest, how much had he invested into each account?
Juan invested $_____ into Fund A.
Juan invested $_____ into Fund B.
Answers
Answer:
Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.
Step-by-step explanation:
Given that Juan invested $ 19000 in two mutual funds, and Fund A earned 7% profit during the first year, while Fund B earned 3% interest, if he received a total of $ 1042 profit, to determine how much she had invested in each mutual fund the following calculation must be performed:
19000 x 0.07 + 0 x 0.03 = 1330
15000 x 0.07 + 4000 x 0.03 = 1170
11000 x 0.07 + 8000 x 0.03 = 1010
11500 x 0.07 + 7500 x 0.03 = 1030
11800 x 0.07 + 7200 x 0.03 = 1042
Therefore, Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.
Does the equation xy + 6y = 9 define y as a function of x?
O Yes
O No
Answers
Answer:
no. a function doesnt contain an = sign
Step-by-step explanation:
Answer:
Yes, it is a function.
Explanation:
xy + 6y = 9
y(x + 6) = 9
y = 9/(x + 6)
It is a inverse variation function.
Where equation: xy = k ["k" is constant]
Each value of x corresponds to a single value of y.b) 8xy +4y² factorise
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Answer:
The answer is: 4y(2x+y)
Step-by-step explanation:
match each integer on the left with the probability on the right that it is the sum of the faces when two fair dice are rolled.
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The probability of the sum of the numbers comes up on the facing dice add up to 3 while rolling two fair six sided dice is equal to ( 1/ 18).
As given in the question,
Number of six sided fair dice rolled = 2
Total number of outcomes of each dice = 6
Total number of outcomes of rolling two six sided fair dice = 36
Outcomes are:
( 1,1), (1,2)...(1,6),( 2,1), (2,2)...(2,6), ( 3,1), (3,2)...(3,6), ( 4,1), (4,2)...(4,6), ( 5,1), (5,2)...(5,6), ( 6,1), (6,2)...(6,6)
Sum of facing up dice add upto 3 are
( 1,2) , (2,1) only
Number of favorable outcomes = 2
Required probability = 2/36
= 1/18
Therefore, the required probability of the sum of facing up dice add upto 3 is equal to (1/18).
The given question is incomplete, I answer the question in general according to my knowledge:
Roll two fair 6-sided dice. what is the probability that the sum of the numbers on the dice facing up add up to 3?
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If triangle has a side 16.5 side 29 and side x What is value of x
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The third side of the triangle 12.5
A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.
we the measurements of given two sides of the triangle 16.5 and 29
In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.
The sum of two sides rule
\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)
The difference between the two sides rule
\(29 - 16.5 < x \\ 12.5 < x\)
Therefore, the value of x is 12.5
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Given right triangle ABC, where side "c" is the hypotenuse, angle B measures 42 degrees, and side c measures 18 m, find the length of side b.
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The length of side b of the given right angle triangle using law of sines is; b = 12.044 m
How to use the law of sines?The law of sines states that when we divide side "a" by the sine of angle A, it is equal to side "b" divided by the sine of angle B, and also equal to side "c" divided by the sine of angle C
Thus;
a/sin A = b/sin B = c/sinC
The parameters are;
B = 42°
c = 18m
Since c is the hypotenuse, it is the side that will be opposite the right angle and so;
C = 90°
Thus, using sine rule;
c/sinC = b/sin B
18/sin 90 = b/sin 42
b = (18 * sin 42)/1
b = 12.044 m
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Please help me with this. I give brainliest and give ratings. Don't answer just to take my points or your getting reported
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Answer:
1/7 +5/9={1×9+5×7)/(9×7)=44/63is your answer
What is the value of the expression |-31| + |-9|?
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Answer:
40
Step-by-step explanation:
Absolute value means distance and distance is always positive. Absolute value DOES NOT change everything to the opposite. Positive numbers stay positive. Negative numbers change to positive.
|-31| + |-9|
31 + 9
40
2x - y _> 2 and y<4
..
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Answer:
2x - y _> 2 = 4 / y<4 3.2
Step-by-step explanation:
evaluate if r = 3 and i = 8
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Answer: 6
Step-by-step explanation:
Four sparking plugs and a fan belt cost $10.50 if the fen belt costs $1.75 more than sparking plugs. Find the cost of each material
Answers
Answer: x = $1.75
Step-by-step explanation:
Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.
According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:
4x + (x + $1.75) = $10.50
Simplifying and solving for x, we get:
5x + $1.75 = $10.50
5x = $8.75
x = $1.75
Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).
on a larger map the coordinates for the location of another Washington DC landmark are eight and -10 in which quadrant of the map in this landmark located explain
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The other Washington DC landmark with coordinates (8,-10) is located in the fourth quadrant of the map.
To determine in which quadrant of the map a point with coordinates (8,-10) is located, we need to look at the signs of the x and y coordinates.
Since the x-coordinate (8) is positive and the y-coordinate (-10) is negative, this point is located in the fourth quadrant.
In general, the four quadrants of a Cartesian coordinate system are divided by the x and y-axes.
The first quadrant is located in the upper right-hand corner and contains points with positive x and y coordinates.
The second quadrant is located in the upper left-hand corner and contains points with negative x and positive y coordinates.
The third quadrant is located in the lower left-hand corner and contains points with negative x and y coordinates.
Finally, the fourth quadrant is located in the lower right-hand corner and contains points with positive x and negative y coordinates.
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Solve each equation for the given variable?
Answers
Answer:
1. x = 20 2. n = 50
Step-by-step explanation:
1/4x - 2 = 3
1/4x = 5
x = 20
2. 8 = 1/5n - 2
10 = 1/5n
n = 50
Answer:
Question 1
Original equation:
1/4x-2=3
Add 2 to both sides:
1/4x=5
Multiply both sides by 4/1:
x=20
Question 2
Original equation:
8=1/5n x 2
Divide both sides by 2
4 = 1/5n
Multiply both sides by 5/1
n=20
Let me know if this helps!
What is the equation of the axis of symmetry?
Easy please help
Answers
Answer:
\(-\frac{b}{2a}\) is the equation for axis of symmetry.
Step-by-step explanation:
b is the second part of the quadratic equation and a is the first part.
For example, \(2x^{2} +6x + 4\)
a is 2 and b is 6.
Plug in those values into the equation and then you get the axis of symmetry.
1. Show using the preimage theorem that the tangent space to the Stiefel manifold of orthonormal 2 -frames inRnat a point[v1,v2], is the vector space of vectors(u,w)∈Rn×Rnsatisfyingv1⋅uv2⋅wv1⋅w+v2⋅u=0=0=0.
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As a result, the set of all [u, w] Rn Rn satisfying the previous equation is the tangent space to F at [v1, v2] by using preimage theorem.
Let F be the Stiefel manifold of orthonormal 2-frames in Rn to apply the preimage theorem. The collection of all tangent vectors to curves passing through [v1, v2] in F is what is known as the tangent space T[F] at a location [v1, v2]. Let (t) be a straight line in F such that (v1, v2) is a smooth curve. The tangent vector to t at time t = 0 is then given by
γ′(0) = [u, w] ∈ T[F].
We must now determine the requirements that [u, w] must meet in order to be in T[F]. Assume that V is a matrix with columns named v1 and v2. If Q is an orthogonal matrix, then any orthonormal 2-frame [v1′, v2′] in Rn can be represented as VQ. The category to which [v1′, v2′] belong Q is a 2 by 2 matrix with determinant 1, and F is equivalent to Q. Given that Q(0) = I, let Q(t) be a smooth curve in SO(2). Then, there is
γ(t) = VQ(t) (t),
and
γ′(0) = VQ′(0) (0).
We have Q since Q(t) is orthogonal (t)
TQ(t) = I, indicating
Q′(0)T + Q′(0) = 0.
Let [u, w] T[F] now. Once this is the case, a smooth curve Q(t) in SO(2) exists with Q(0) = I and
[u, w] = VQ′(0) (0).
Applying the equation above, we obtain
v1uv2w plus v1wv2u equals 0.
As a result, the set of all [u, w] Rn Rn satisfying the previous equation is the tangent space to F at [v1, v2].
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Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval.
f(x) = x^7, [0, 7]
Answers
GIVEN: The given function is f(x)=\(x^7\) on the interval [0,7]
To FIND: Here we need to find the value of c by the help of Mean value theorem.
SOLUTION: The mean value theorem is,
\(f'(c)=\frac{f(b)-f(a)}{b-a}\)
where, f(x) is defined on a closed interval [0,7] and continuous on the closed [0,7] and derivable on (0,7) and a<c<b,
So, \(f'(x)=7x^6\)
By the mean value theorem we have,
\(7c^6=\frac{7^7-0}{7-0} \\7c^6=7^6\\c^6=7^5\\c=\sqrt[6]{7^5} \\c=5.077\)
Therefore, the required value of c is 5.077
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please help And leave just a small explanation and I’ll mark brainliest :)
Answers
Answer:
A. The value of u should be 115 because the two angles shown in the figure are congruent.
Step-by-step explanation:
You can see the placement of the angles and their relationship, which is corresponding angles. This makes them congruent.
hope this helps! :)
Answer:
A)
Step-by-step explanation:
Corresponding angles of two parallel lines are always equal. In this case, \(m\angle U\) corresponds with the one marked as \(115^{\circ}\)
Sterling has prepared the following two-column proof below. He is given that ∠OLN ≅ ∠LNO and he is trying to prove that OL ≅ ON. Triangle OLN, where angle OLN is congruent to angle LNO Step Statement Reason 1 ∠OLN ≅ ∠LNO Given 2 Draw OE as a perpendicular bisector to LN by Construction 3 m∠LEO = 90° Definition of a Perpendicular Bisector 4 m∠NEO = 90° Definition of a Perpendicular Bisector 5 LE ≅ EN Definition of a Perpendicular Bisector 6 ΔOLE ≅ ΔONE Hypotenuse-Leg (HL) Postulate 7 ∠LEO ≅ ∠NEO Transitive Property of Equality 8 OL ≅ ON CPCTC Sterling made two errors in the proof. Identify and correct the errors. Question 5 options:
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The two errors that Sterling made in the proof include:
The step 2 must be that statement OE is the perpendicular bisector to LN.The step 6 statement that OL is identical to ON is not necessarily in the proof.What are the error made?In this case, it should be noted that the step 6. statement must be that LEO is equal to NEO. This is due to the substitution property of equality.
The substitution property of equality states that one value can be substituted for another in an expression or equation and the result will be the same. If the values of x and y are equal, then x and y can be substituted for one another.
Also, the step 7 should be that OLE is identical to ONE. The reason is due to the angle-side-angle postulate. According to the AAS Postulate, if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another, the triangles are congruent.
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Simplify the rational expression
7x/14x^6
Answers
The simplified form of the rational expression \((7x)/(14x^6)\) is \(1/(2x^6).\)
To simplify the rational expression \((7x)/(14x^6)\), we can begin by simplifying the numerator and denominator separately.
In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.
In the denominator, \(14x^6\), we can see that both 14 and x^6 have a common factor of \(2x^6\).
So, we can rewrite the denominator as
\(14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.\)
Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:
\((7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)\)
Therefore, the simplified form of the rational expression\((7x)/(14x^6)\) is \(1/(2x^6).\)
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how do you solve a multi step equation
Answers
Answer:
Step-by-step explanation:Examples of How to Solve Multi-Step Equations · 1) Combine like terms on both sides. · 2) Subtract 6y on both sides to keep the variable y to the left side only.
What is the range of f(x) = |x| + 7?
−7 ≤ y < ∞
−∞ < y ≤ −7
0 ≤ y < ∞
7 ≤ y < ∞
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When the domain is substituted, the Range of the function will be
7 ≤ y < ∞
How can we find Range ?The range of a function is the the spread of minimum value of the function to maximum value. We can find the range by substituting different domains into the function.
Given a function f(x) = |x| + 7
This |x| show that it is a modulus. That is, the domain will always be positive numerals.
The minimum domain = 0, so the minimum f(x) = 0 + 7 = 7
The maximum domain = ∞, so the maximum f(x) = ∞ + 7 = ∞
y = f(x)
Therefore, the range of of the function f(x) = |x| + 7 will be 7 ≤ y < ∞
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Which of the following values does not satisfy the equation x-2=3.5
A 5 1/2
B 5.5
C 1.5
Answers
Answer:
x - 2 = 3.5
x = 3.5 -2
x = 1.5
therefore, the answer is C !
hope it helped ;)
Step-by-step explanation:
the answer is c because
x= 1.5
1.5 - 2 = 3.5
1.5 + +2 = 3.5 (additive inverse, subtraction changes to addition)
therefore my answer is correct!
Kellie ran 1/5 mile in 1 1/2 minutes at this rate , how long would it take her to run 1 mile
Answers
Answer:
PLZ MARK BRAINLIEST
The answer is 7.5 miles or 7 1/2.
Step-by-step explanation:
1 1/2 times 5= 7 1/2 or 7.5 miles
Answer:
7 1/2 min
Step-by-step explanation:
1.5 x 5 = 7.5 She ran 1 mile in 7 1/2 min
The numbers 1 to 12 must be placed in the circles of the star shown on the right. The sums of the numbers in each row, and the sum of the numbers in the six outer circles of the star, must be equal to 26. Arrange the numbers accordingly.
Answers
Answer:
The numbers 1 to 12 must be placed in the circles of the star shown on the right. The sums of the numbers in each row, and the sum of the numbers in the six outer circles of the star, must be equal to 26. Arrange the numbers accordingly.
Stuck on these questions. any help?
(last word missing is degree)
Answers
Answer: x^3 - 3x^2 + 2x
Step-by-step explanation:
Zeros 0, 1, 2
f(x)= x (x-1)(x-2)
= x (x^2 - 3x + 2)
= x^3 - 3x^2 + 2x
6. In the triangle ABC, AB = 7 cm, BC = 8 cm and ABC = 90°. Point P lies inside the triangle such that BP = PC = 5 cm. Find:
a) the perpendicular distance from P to BC
b) the length AP.
GUYS HELP!
Answers
Answer:
Step-by-step explanation:
Compute for the mean expenses of the XYZ Corporation given the following: Name Total Sales Total Expenses Quezon City 14,950.00 4,933.50 Caloocan City 18,290.00 6,035.70 Marikina City 37,200.00 12,276.00 Cebu City 18,900.00 6,237.00 Davao City 45,000.00 14,850.00 Mandaluyong City 23,000.00 7,590.00 Cavite 22,000.00 7,260.00 Laguna 21,000.00 6,930.00 Manila 66,000.00 21,780.00 Iloilo 34,000.00 11,220.00
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The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.
What is the mean?The mean refers to the average value.
The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.
Name Total Sales Total Expenses
Quezon City 14,950.00 4,933.50
Caloocan City 18,290.00 6,035.70
Marikina City 37,200.00 12,276.00
Cebu City 18,900.00 6,237.00
Davao City 45,000.00 14,850.00
Mandaluyong City 23,000.00 7,590.00
Cavite 22,000.00 7,260.00
Laguna 21,000.00 6,930.00
Manila 66,000.00 21,780.00
Iloilo 34,000.00 11,220.00
Total 99,112.20
Mean Expenses = 9,911.22 (99,112.20 ÷ 10)
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Help with this problem
Answers
Answer:
6x
Step-by-step explanation:
Solve for t4¼ t___ = ___5⅕ 6⅙
Answers
We solve as follows:
\(\frac{4\frac{1}{4}}{5\frac{1}{5}}=\frac{t}{6\frac{1}{6}}\Rightarrow\frac{(\frac{16}{4}+\frac{1}{4})}{(\frac{25}{5}+\frac{1}{5})}=\frac{t}{(\frac{36}{6}+\frac{1}{6})}\)\(\Rightarrow\frac{\frac{17}{4}}{\frac{26}{6}}=\frac{t}{\frac{37}{6}}\Rightarrow\frac{17\cdot6}{4\cdot26}=\frac{t\cdot6}{37}\)\(\Rightarrow\frac{51}{52}=\frac{6}{37}t\Rightarrow t=\frac{51\cdot37}{52\cdot6}\)\(\Rightarrow t=\frac{629}{104}\Rightarrow t\approx6.05\)So, t is approximately 6.05.
Expand this equation
Answers
Answer:
Step-by-step explanation:
First multiply 9x3
=\(27xy^4x^3y\)
give the terms that dont have a exponent a 1
=\(27x^1y^4x^3y^1\)
Multiply terms with the same base
\(27x^{1+3} y^4x^3y^1\)
Multiply terms of same base
\(27x^{1+3}y^{4+1}\)
Just add all the exponents
\(27x^{4}y^{5}\)