The time taken by Jill and Cheryl to double their money is 12 years and 18 years respectively.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
Jill invested $500 in an account with a compound interest rate of 6%.
Cheryl invests $600 in an account with a compound interest rate of 4%.
The number of years each doubles their money. Using the relation of 72.
[tex]\rm t = \dfrac{72}{r}[/tex]
where r is the interest rate and t be the time
The time for the Jill will be
[tex]\rm t = \dfrac{72}{6}\\\\t = 12\\[/tex]
The time for the Cheryl will be
[tex]\rm t = \dfrac{72}{4}\\\\t = 18\\[/tex]
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Which function in vertex form is equivalent to f(x) = 4 x2 – 2x? f(x) = (x – 1)2 3 f(x) = (x – 1)2 5 f(x) = (x 1)2 3 f(x) = (x 1)2 5
The vertex form which is equivalent to the provided quadratic function of variable x is (x-1)²+3.
What is the vertex form of parabola?Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.
The standard equation of the vertex form of parabola is given as,
[tex]y=a(x-h)^2+k[/tex]
Here, (h, k) is the vertex point.
The function given in the problem is,
[tex]f(x) = 4+x^2 - 2x\\f(x) = x^2 - 2x+4[/tex]
Add and subtract (-1)² in the above function,
[tex]f(x) = x^2 - 2x+4+(-1)^2-(-1)^2\\f(x) = x^2 - 2x+(-1)^2+4-1[/tex]
Use the formula of whole square,
[tex]f(x)=(x-1)^2+3[/tex]
This is the required vertex form.
Hence, the vertex form which is equivalent to the provided quadratic function is (x-1)²+3.
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Lines p and q are parallel.
Parallel lines p and q are cut by transversals r and s. At the intersection of lines p, r, and s, clockwise from top left, the angles are blank, 93 degrees, blank, blank, 1, 60 degrees. At the intersection of lines q and s, the angles are blank, 2, blank, blank. At the intersection of r and q, the angles are 3, blank, blank, blank.
What is the measure of angle 2 in degrees?
27°
33°
60°
93°
Answer:
60°
Step-by-step explanation:
The given 60° angle and angle 2 are alternate interior angles of parallel lines p and q with transversal s, so they are congruent.
m<2 = 60°
Answer:
Based on the alternate interior angle theorem, the measure of angle 2 in the diagram given is: C. 60°
What is the Alternate Interior Angles Theorem?
The alternate interior angle theorem states that the measure of two alternate interior angles are congruent.
Angle 2 and 60° are alternate interior angles, therefore:
Angle 2 = 60° [alternate interior angle theorem].
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Step-by-step explanation:
Give a rule for a transformation that would be a rigid motion. Explain why your transformation would be a rigid motion.
Golf Federation wants to find out which brand of golf balls are the most popular among men living in the United States between the ages of 25 and 40. They surveyed 100 of their male customers living in California between the ages of 25 and 40. The Golf Federation and found that the most popular golf ball is Miller followed by Smith and Sixon. Therefore, the Golf Federation concludes that the most popular brand of golf balls among men living in the United States between the ages of 25 and 40 is Miller. Select the statement that is true about Golf Federation's conclusion. A. The Golf Federation's conclusion was not valid because the sample was biased since all the male customers were of ages from 25 and 40. B. The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California. C. The Golf Federation's conclusion was valid because the sample was random. D. The Golf Federation's conclusion was valid because the sample was biased since the male customers all lived in California.
Using sampling concepts, it is found that the correct option is given by:
B. The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, the objective is to make an estimate about the most popular brand of golf ball from men all over the United States, however, only customers from California were chosen, hence the sample is not representative and option B is correct.
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Answer:b
Step-by-step explanation:The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.
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area of semi circle= (1/2).π.r²
(1/2)×3.14×14×14
307.72 cm²
What is the area of the triangle?
Will mark brainlyest!!
Answer:
A = 28 sq cm
Step-by-step explanation:
Area of a triangle:
A = 1/2• base•height
= 1/2•7•8
= 28 sq cm
What is the solution to the equation below? In X = 2.1
Answer:
log(b) x = y is the same and saying b^y = x
so 6^2.1 = x
x = 43.06
Step-by-step explanation:
If you could body swap with any person for 24 hours, who would you choose?
Answer:
Chris evans
Step-by-step explanation:
HELP A S A P ONLY CORRECT ANSWE
Answer:
the answer should be d
Step-by-step explanation:
you just have to multiply the per pound amount (1.29) by by the pound amount (5) and then you get your answer $6.45!
i hope this helps :)
I need help, I can't do this exercise
Answer:
149 Degrees
Step-by-step explanation:
The angle 31 is marked for you on the figure, there is also a secondary angle marked on the other line parallel to the first. Since they are marked the same, the value of both must be 31 degrees, you can also prove this in a longer method by calculating the exact angle measures of each line. Now we simply simplify our basic equation.
180-31=x
149=x
PLEASE HELP
I will give five stars and a thanks and brainly
Answer:
We can divide an algebraic term by another algebraic term to get the quotient. The steps below show how the division is carried out.
We can multiply two algebraic terms to get a product, which is also an algebraic term.
Step-by-step explanation:
I need help asap please
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). Find the 49th term. 8, 14,20,. Hint its not 294
Answer: 296
Step-by-step explanation: explicit rule formula for an arithmetic sequence:
a_n = a_1 +(n-1)(d)
20-14= 6
d= 6
a_1 = 8
a_n = 8 + (n-1)(6)
= 8+6n-6
a_n= 6n+2
substitute to find answer:
a_49= 6(49) +2
= 294+2
=296
If A=3x^2 + 5x -6 and B= -2x^2 - 6x +7, then A-B equals ?
Answer:
5x^2 + 11x - 13 = A - B
Step-by-step explanation:
A - B = ? Substitute 3x^2 + 5x - 6 for A and - (-2x^2 - 6x + 7) for -B:
3x^2 + 5x - 6 - (-2x^2 - 6x + 7). or
3x^2 + 5x - 6 + 2x^2 + 6x - 7, or (after combining like terms):
5x^2 + 11x - 13 = A - B
A student is trying to solve the system of two equations given below: equation p: a b = 6 equation q: 4a 2b = 19 which of the following steps can be used to eliminate the a term? −1(4a 2b = 19) −4(4a 2b = 19) −4(a b = 6) 4(a b = 6)
We will use the steps that can be used to eliminate the a term that will be -4(a+b=6). Option C is correct.
What is the system of two equations?A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.
The given equation in the problem is;
Equation P: a + b = 6
Equation Q: 4a + 2b = 19
To cancel out the equation q from the equation p.In order to cancel, the term of we has to multiply the term -4 in the equation p.
Hence we will use the steps that can be used to eliminate the a term that will be -4(a+b=6). Option C is correct.
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Donna bought 3 bags of dog treats for $6.15. What is the cost per bag of dog treats? A. $0.49 B. $9.15 C. $3.08 D. $2.05
Answer:
$2.05
6.15 divided by 3 is 2.05. To check, you multiply 2.05 x 3.
Need help asap please
Answer:
9:49 is the answer because question say ratio is square of small and big
solve the equation x+2=5x-2
Hey there!
Solve the equation:
Answer :x = 1 ✅
Explanations:x + 2 = 5x - 2
>> Add 2 to both sides
x + 2 + 2 = 5x - 2 + 2
x + 4 = 5x
>> Substract x from each side
x + 4 - x = 5x - x
4 = 4x
4x = 4
>> Divide both sides by 4
4x/4 = 4/4
x = 1
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Have a good day ;)
Given :-
X + 2 = 5X - 2To find :-
The value of Xsolution:-
x + 2 = 5x -2
moving like terms to the same side2+2 = 5x - x
4 = 4x
1 = x
Write the slope-intercept form of equation.
1) 3x – 2y = -12
Answer:
[tex]y=\dfrac{3}{2}x+6[/tex]
Step-by-step explanation:
Slope-intercept form of a linear equation:
[tex]y=mx+b[/tex]
where:
m is the slopeb is the y-interceptGiven equation:
[tex]3x-2y=-12[/tex]
To write the given equation in slope-intercept form, apply arithmetic operations to isolate the variable y.
Add 2y to both sides:
[tex]\implies 3x-2y+2y=-12+2y[/tex]
[tex]\implies 3x=2y-12[/tex]
Add 12 to both sides:
[tex]\implies 3x+12=2y-12+12[/tex]
[tex]\implies 3x+12=2y[/tex]
Switch sides:
[tex]\implies 2y=3x+12[/tex]
Divide both sides by 2:
[tex]\implies \dfrac{2y}{2}=\dfrac{3x+12}{2}[/tex]
[tex]\implies \dfrac{2y}{2}=\dfrac{3x}{2}+\dfrac{12}{2}[/tex]
[tex]\implies y=\dfrac{3}{2}x+6[/tex]
Therefore, the slope-intercept form of the given equation is:
[tex]y=\dfrac{3}{2}x+6[/tex]
where 3/2 is the slope, and 6 is the y-intercept
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Slope intercept form y=mx+b
Let's find
3x-2y=-123x+12=2yy=3/2x+12/2y=3/2x+6Done!
what's the algebra meaning?
Answer:
the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Step-by-step explanation:
WILL GIVE BRAINIEST AND EXTRA POINTS 2 BEST ANSWER
There are four relations, labeled A through D shown below
Determine whenever or not each relation represents a function
PLS I NEED HELP I NEED TO UNDERSTAND
Answer:
you got incorrect before Imao hm whats the question?
Step-by-step explanation:
Which expression gives the volume of a sphere with radius 17?
A. 4pi(17^3)
B. 4/3pi(17^2)
C. 4pi(17^2)
D. 4/3pi(17^3)
Answer:
D
Step-by-step explanation:
The formula for a sphere is 4(π/3) * r ^ 3. If we plug in r we get 17^3 * 4/3 * π
A square picture frame has a round circle cut out to show the picture. What is the area of the picture frame?
Will mark brainlyest!!
Answer:
117.5
Step-by-step explanation:
hope this helps! have a great day
A=27 inches and b=36 inches what is the length of the hypotenuse
Answer:
Hypotenuse = 45 inches
Step-by-step explanation:
Let the hypotenuse be known as "C".
Definition of hypotenuse:
The hypotenuse is the longest side in a right triangle.
Since the word "hypotenuse" is stated in the question, we can assume that the triangle is a right triangle and therefore, Pythogoras theorem can be used to determine the measure of the hypotenuse.
Pythogoras theorem
x² = y² + z²[Where "x" is the hypotenuse, "y" and "z" are the legs of the right triangle].
We are given that:
Leg A = y = 27 inchesLeg B = z = 36 inchesHypotenuse = x = C inchesWhen the meausures are substituted in the formula, we get;
⇒ (C)² = (27)² + (36)²Evaluate the squares on the right hand side:
⇒ (C)² = (27)² + (36)²⇒ (C)² = 729 + 1296Simplify the expression on the right hand side:
⇒ (C)² = 729 + 1296⇒ (C)² = 2025Take square root both sides of the equation:
⇒ √(C)² = √2025⇒ C = 45 inchesTherefore, the measure of the hypotenuse is 45 inches.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
the answer is b
Step-by-step explanation:
9/10 minus 3/5 is 0.3. 0.3 as a fraction is 3/10
Answer: the answer is b which is 3 over 10
Step-by-step explanation: as a decimal it us 0.3 which is the same as 3 over 10 . Hope it is correct . Please give brainliest .Thanks .
simplify 8j-3-2j+6 what strategy should be implored first?
Please, help with this question!
Answer:
arc AM = 114°
Step-by-step explanation:
the measure of a tangent- chord angle is half the measure of its intercepted arc, that is
∠ MAC = [tex]\frac{1}{2}[/tex] (AM )
57° = [tex]\frac{1}{2}[/tex] AM ( multiply both sides by 2 to clear the fraction )
114° = AM
Find the radius of a circle with an area of 89 square feet.
Answer:
[tex]r = 5.32\ feet[/tex]
Step-by-step explanation:
Step 1: Determine the radius
Formula to get the area of a circle → [tex]A=\pi r^2[/tex]
Insert 89 into the A and solve for r
[tex]\frac{89}{\pi} = \frac{\pi r^2}{\pi}[/tex]
[tex]28.3296 = r^2[/tex]
[tex]\sqrt{28.3295} = \sqrt{r^2}[/tex]
[tex]r = 5.32[/tex]
Answer: [tex]r = 5.32\ feet[/tex]
What is 4/5 in a percent
Answer:
80%
Step-by-step explanation:
I use cross multiplication for this
4/5 = ?/100
so you would do (4*100)/5 to get the percent which would then be 80%
Evaluate. Pre algebra
Answer:
[tex]4^3 =64\\\\(-3)^4 = 81[/tex]
Step-by-step explanation:
[tex]4^3 = 4\times 4 \times 4 = 64\\\\(-3)^4 = (-1)^4\cdot 3^4 = 81[/tex]