Answer:
Total earnings at the end of 5 years
= $87071.293
Step-by-step explanation:
First year
$64,000
Second year
$64,000 + 8% of previous year
= $64,000 + 0.08*$64,000
= $69120
Third year
$69120 + 8% of previous year
= $69120 + 0.08*$69120
= $74649.6
Fourth year
$74649.6 + 8% of previous year
= $74649.6 + 0.08*$74649.6
= $80621.568
Fifth year
$80621.568 + 8% of previous year
= $80621.568 + 0.08*$80621.568
= $87071.293
Answer:
375.462.46
Step-by-step explanation:
Took the test and the other answer 87071.29 was wrong
is the polynomial a difference of squares and if it is factor the polynomial?
y^2-16
A) is not a difference of squares
B) is a difference of squares: (y-8) (y+8)
C) is a difference of squares: (y-4)^2
D) is a difference of squares: (y-4) (y+4)
D is the answer hope it helps
A random experiment has three steps with three outcomes possible for the first step, two outcomes possible for the second step, and four outcomes possible for the third step. how many experimental outcomes exist for the entire experiment?
Answer: 6 outcomes
Step-by-step explanation: Since the first outcome is 2 and the second is 4 2 times 3 is ix since it is multiplying by 2 (2,4,6,8)
Final answer:
To find the total number of experimental outcomes for the entire experiment, multiply the number of outcomes for each step together, resulting in 24 total experimental outcomes.
Explanation:
The total number of experimental outcomes for the entire experiment can be calculated by multiplying the number of outcomes for each step together:
Number of outcomes for the first step: 3
Number of outcomes for the second step: 2
Number of outcomes for the third step: 4
Multiplying these numbers: 3 outcomes x 2 outcomes x 4 outcomes = 24 total experimental outcomes.
Please answer this question, will give brainliest!
There are 360° in a circle and this circle is divided into 8 equal parts. 360/8 = 45 which means that each angle is 45°. The central angle subtended by minor arc BC is 2 portions of the circle, or 45 * 2 which is 90°. The answer is B.
Answer:
The answer should be B, 90.
Step-by-step explanation:
The circle is broken up into 8, 45 degree angles. the subtended of arc BC should be 90, tell me if i'm wrong.
Mark brainliest plz thanks!
Simplify the irrational number 128; then estimate it to two decimal places.
The square root of 128, which is an irrational number, is approximately 11.304. Rounded to two decimal places, it becomes 11.30.
Explanation:The process of simplifying the irrational number 128 involves finding a square root since irrational numbers are those that cannot be expressed as a simple fraction, such as roots that are not even. The square root of 128 is not a whole number, therefore it's an irrational number. Using a calculator, the square root of 128 is approximately 11.304. So to obtain the square root of 128 to two decimal places, you round 11.304 to 11.30.
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Victoria can make 8 necklaces in 4 days. How long does it take her to make ond necklace?
Answer:
[tex]0.5\ days[/tex]
Step-by-step explanation:
we know that
Using proportion
[tex]\frac{4}{8}\frac{days}{necklaces} =\frac{x}{1}\frac{days}{necklace} \\ \\x=4/8\\ \\x=0.5\ days[/tex]
Add both the numerators and the denominators when adding fractions and mixed numbers. True False
Answer:
false
Step-by-step explanation:
Add both the numerators and the denominators when adding fractions and mixed numbers - this statement is false.
How to add numerators and denominators adding fractions and mixed numbers:
To add fractions with denominators, first find a common denominator. The least common denominator is easiest to use. The least common multiple can be used as the least common denominator. Adding mixed numbers involves adding the fractional parts, adding the whole numbers, and then recombining them as a mixed number.
1. Add the whole numbers together.
2. Find the lowest common denominator of both fractions.
3. Convert the fractions to have the LCD as their denominator.
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Renee writes a number that is the same distance from 0 as 7 on a number line but in the other direction. What number did Renee write?
ANSWER
-7
EXPLANATION
The only numbers that have a distance of 7 from zero on the real number line are -7 and 7.
-7 is to the left of zero while 7 is to the right of zero.
But this two numbers are all 7 units from zero.
In other words, the absolute values of this numbers is 7.
[tex] |x| = 7[/tex]
[tex]x = - 7 \: or \: 7[/tex]
Hence the number Renee wrote is -7
The number that is the same distance from 0 as 7 on a number line, but in the opposite direction, is -7. This is because on a number line, +7 is 7 units to the right of 0 and -7 is 7 units to the left of 0.
Explanation:In the field of Mathematics, the concept of a number line is a tool to understand the placement of numbers and their relative distance to one another. If Renee writes a number that is the same distance from 0 as 7 on a number line, but in the opposite direction, the number she writes would be -7.
This is because on a number line, the positive direction (to the right) signifies adding and the negative direction (to the left) signifies subtracting from zero. So the number -7 is 7 units distance to the left of 0. Similarly, the number 7 is 7 units distance to the right of 0. Hence, both numbers -7 and +7 are equidistant from 0, but lie in opposite directions on the number line.
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Write three fractions that are not greater than 1/2 . Explain how you determine your fractions.
1/2 is .5
and knowing this, just make a fraction out of the numbers before .5 .
2/5 is .4
3/10 is .3
1/5 is .2
1/10 is .1
and there are your fractions less than 1/2
The three fractions that are not greater than 1/2 will be 1/3, 1/4, and 1/5.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The three fractions that are not greater than 1/2. If the denominator increases then the value gets decreases. Then the three fractions are given as,
1/3, 1/4, 1/5
The three fractions that are not greater than 1/2 will be 1/3, 1/4, and 1/5.
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HELP ME PLEASE!!!
Teague is participating in a 50K run to raise money for a charity. He has already raised $102 and will receive $1.40 for each kilometer he travels. If he wants to raise a minimum of $165, how many kilometers does he need to run?
Equation: _________
Define Variable: _________
Solve Equation: _________
Final Answer: _________
Answer: 45 kilometers
Step-by-step explanation:
The equation to solve this problem is:
$165 = 1.4x + 102
The variable x represents the number of kilometers he travels.
To solve the equation:
Subtract 102 from each side-
63 = 1.4x
Next divide each side by 1.4-
45 = x
Teague needs to run 45 kilometers in order to raise $165.
165=1.40x+102 (equation) x = amount run and final answer is x=45
A parallelogram has a base of 14 centimeters and a height of 20 centimeters.What is the area of the parralegram
Answer:
44444444444444444444444444444444444444444444467
Step-by-step explanation:
Dam has been asked to post a parcel for a family member. He has been told that the parcel weighs 12 lbs 8 oz.
Answer:
The weight of the parcel is approximately 6 kilograms.
Step-by-step explanation:
The weight of the parcel is 12 lbs and 8 oz.
1 lb = 16 oz
So, 8 oz = lb.
That means, 12 lbs and 8 oz = (12 + 0.5) lbs = 12.5 lbs
Now, 1 lb = 454 g
So, 12.5 lbs = (12.5 × 454) g = 5675 g
As, 1 kilogram = 1000 g
That means, 1 g = 0.001 kilogram
So, 5675 g kilograms. (Rounded to the nearest whole kilogram)
Thus, the weight of the parcel is approximately 6 kilograms.
Find the value of a cylinder with a diameter of 8 inches and a height that is three times the radius
Answer:
nevermind
Step-by-step explanation:
What kind of symmetry is displayed by the graph of catenary y=e^x+e^-x/2
Answer:
Option b
Step-by-step explanation:
To solve this problem we must test if the function is even.
If f(-x) = f(x) then the function is even and is symmetric with respect to the y-axis.
If f(-x) = -f(x) then the function is odd and has symmetry with respect to the origin.
We have the function:
[tex]f(x) = \frac{e^x + e^{-x}}{2}[/tex]
We make:
[tex]f(-x) = \frac{e^{-x} + e^{-(-x)}}{2}[/tex]
Rewriting the function we have
[tex]f(-x) = \frac{e^{-x} + e^{x}}{2} = \frac{e^{x} + e^{-x}}{2}\\\\f(-x) = f(x)[/tex]
Finally, the function has symmetry with respect to the y axis.
Answer:
b
Step-by-step explanation:
5. Evaluate the series 50 + 10 + 2 + . . . 62 The series diverges; it does not have a sum. 62.5
Answer:
62.5
Step-by-step explanation:
By dividing 50 by 10 and 10 by 2 we can find that r, or the common ratio is 1/5, meaning that this series converges, so it is solvable. The formula for a convergent series is [tex]\frac{a_{1}}{1-r}[/tex]. By plugging in 1/5 for r and 50 for [tex]a_{1}[/tex] we can find that the sum of this infinite series is 62.5
The sum of four consecutive even integers is at least 244. Find the least possible value of the first integer.
x + x +1 + x +2 + x + 3 >= 244
=》 4x + 6 >= 244
=》 4x >= 238
=》 x >= 238/4 >= 59.5
since x is an integer...least value of x is 60
The least possible even integer is 58
Step-by-step explanation:Let's let x be an even integer. The next three would be shown by x+2, x+4 x+6 so now we can add all these to equal 244. Shown with an equation would look like:
x + x+2 + x+4 + x+6 = 244
Combine like terms will be:
4x+12=244
Subtract 12 from both sides we will get
4x=232
Now Divide each side by 4
x=58
So now put x in the above equation and we get the numbers
x=58,
x+2= 60
X+4 =62
x+6= 64
The least one is 58
Find the polar equation of the conic with the focus at the pole, directrix x = 4, and eccentricity 1.
Answer:
Choice D is correct
Step-by-step explanation:
The eccentricity of the conic section is 1, implying we are looking at a parabola. Parabolas are the only conic sections with an eccentricity of 1.
Next, the directrix of this parabola is located at x = 4. This implies that the parabola opens towards the left and thus the denominator of its polar equation contains a positive cosine function.
Finally, the value of k in the numerator is simply the product of the eccentricity and the absolute value of the directrix;
k = 1*4 = 4
This polar equation is given by alternative D.
Answer:
D
Step-by-step explanation:
it's right on edge, i just took the test :)
A rectangular prism has side lengths of 4 inches, 6 inches, and 7 inches. If all side lengths are multiplied by 5, what happens to the surface area. A) It remains the same. B) It is multiplied by 5. C) It is multiplied by 25. D) It is multiplied by 125.
Answer:
C
Step-by-step explanation:
The surface are of the prism will be the area of a each side added together. The work would look like this:
SA = 2[(l×h)+(l×b)+(b×h)]
SA = 2(lh+lb+bh)
But if you multiply each dimension by 5, the area becomes
SA = 2[(5l×5h)+(5l×5b)+(5b×5h)]
SA = 2(5²lh+5²lb+5²bh)
SA = 5²×2(lh+lb+bh)
SA = 5²area
Since 5² = 25, then the the surface area is multiplied in size by 25.
Please help !
What are the solutions to the equation?
a) x=-6 and x= -2/3
b) x=-6 and x= 2/3
c) x=6 and x= 2/3
Answer:
a
Step-by-step explanation:
0=3x²+20x+12
0=(3x+2)(x+6)
0=3x+2 0=x+6
-2=3x -6=x
-2/3=x
HELP ASAP 23 points
A $250 table is on sale at 15% off. What are the discount and sale price of the table?
The discount is $37.50 and the sale price of the table is $212.50.
We have to calculate the discount and sale price
Discount
Discount amount =
Original price * Discount percentage
Discount amount = $250 * 15%
= $250 * 0.15
= $37.50
Sale price
Sale price = Original price - Discount amount
Sale price = $250 - $37.50
= $212.50
What is the area of a triangle with a=25 b=13 and c=17? (picture provided)
For this case we must find the area of a scalene triangle (different sides) by means of Heron's formula:
[tex]S = \sqrt {p (p-a) (p-b) (p-c)}[/tex]
Where:
S: It's the area
p: It is the semiperimeter
a, b, c: They are the sides:
[tex]p = \frac {a + b + c} {2}\\p = \frac {25 + 13 + 17} {2}\\p = 27.5 \ units[/tex]
So:
[tex]S = \sqrt {27.5 (27.5-25) (27.5-13) (27.5-17)}\\S = \sqrt {10467.1875}\\S = 102.309 \ units ^ 2[/tex]
ANswer:
Option D
A bag contains 4 green marbles, 6 red marbles, 14 orange marbles, 5 brown msrbles, and 8 blue marbles. You choose a marble, replace it, and choose again. What is P(red, then blue)?
BRAINLY IF YOU CAN SEE THIS PLZ MAKE IT SO THAT YOU CAN ONLY GET POINTS BY PEOPLE SAYING THANKS TO YOUR ANSWER. IF YOU DONT, PEOPLE DO STUFF LIKE WHAT THE OTHER PERSON DID.
[tex]\frac{48}{1369}[/tex]
Step-by-step explanation:
A bag contains 4 green marbles, 6 red marbles, 14 orange marbles, 5 brown marbles, and 8 blue marbles. You choose a marble, replace it, and choose again. Total marbles = 37 marbles
Probability (choosing red) = number of red marbles / total marbles
= 6/37
Red is replaces so total marbles again becomes 37
P( choosing blue)= 8/37
P(red, then blue)= [tex]\frac{6}{37} * \frac{8}{37} = \frac{48}{1369}[/tex]
A cooler is filled with different juices. There are 24 bottles of juice: 6 orange juice, 4 apple juice, 2 cranberry juice, and 12 grape juice. Julie is choosing juice at random for herself and a friend. What is the probability that she chooses 1 orange juice and then 1 apple juice?
Answer:
for the orange juice it's 6/24
for the apple juice it's 4/24
Step-by-step explanation:
since there are 24 juices you need to put the denominator as 24 at all time no matter the juice choice and then you find how many there are of that specific juice and put it as the top number because that is the probability of you getting that specific juice.
Pleased give me the brainliest answer. :)
If A=[tex]\left[\begin{array}{ccc}-10&10&8\\-2&-1&5\\-4&8&-6\end{array}\right][/tex] and B= [tex]\left[\begin{array}{ccc}5&6&-4\\10&-6&-10\\-9&1&10\end{array}\right][/tex] , find -7A and -6B.
Answer:
Option c
Step-by-step explanation:
We have two matrices, matrix A and matrix B.
Before doing the addition of matrices, we must multiply the matrix A by the scalar -7 and then multiply the matrix B by the scalar -6.
The multiplication of a matrix A by a scalar c, is done by multiplying all the elements of matrix A by the value c.
So
[tex]-7A = \left[\begin{array}{ccc}70&-70&-56\\14&7&-35\\28&-56&42\end{array}\right]\\\\\\-6B =\left[\begin{array}{ccc}-30&-36&24\\-60&36&60\\54&-6&-60\end{array}\right][/tex]
Now we add both matrices.
The sum of the matrices is done by adding each term [tex]a_{mn}[/tex] with each term [tex]b_{mn}[/tex]
For example: (70 - 40) , (-70 + (-36)), ...,
Then:
[tex]-7A + (-6B) = \left[\begin{array}{ccc}40&-106&-32\\-46&43&25\\82&-62&-18\end{array}\right][/tex]
The first four terms of a sequence are \text{3, -6, 12, -24}. Write an explicit formula for this sequence, where n is any term number and a\left(n\right) is the nth term.
You can see that each term is twice the previous one, with inverted sign.
You double a number by multiplying it by two, and you change its sign by multiplying it by -1.
So, you multiply each term by 2 and by -1, which results in a multiplication by -2.
Since we start with 3, the terms are
[tex]a_1 = 3[/tex]
[tex]a_2 = 3\cdot (-2) = -6[/tex]
[tex]a_3 = -6\cdot (-2) = 12[/tex]
and so on. So, the general term is
[tex]a_n = 3\cdot(-2)^{n-1}[/tex]
Use the substitution method to solve the system of equations. choose the correct ordered pair.
3x- y=3
Y=2x +2
A. (2,6)
B. (5,12)
C. (4,10)
D.(3,8)
=============================================
Explanation:
Start with the first equation. We'll plug in y = 2x+2
3x - y = 3
3x - ( y ) = 3
3x - ( 2x+2 ) = 3 ..... replace y with 2x+2
3x - 2x - 2 = 3 ..... distribute the negative through to all terms inside
x-2 = 3 ............ combine like terms
x-2+2 = 3+2 .... add 2 to both sides
x = 5
Use this x value to find the value of y. The easiest equation to use is the one in which y is already isolated for us
y = 2x+2
y = 2*5+2 ..... replace x with 5
y = 10+2
y = 12
Though we can use the other equation as well
3x-y = 3
3*5-y = 3 .... replace x with 5
15 - y = 3
15-y-15 = 3-15 ..... subtract 15 from both sides
-y = -12
y = 12 ..... multiply both sides by -1, or change the signs of both sides
We get the same result for y.
The solution is (x,y) = (5,12) meaning that the graphs of the two original equations cross at this point.
It’s 5 & 12. Just substitute them in and boom!
Explain why f(x) is continuous at x=3
Answer:
f is not defined at x = 3 ⇒ answer (b)
Step-by-step explanation:
∵ f(x) = x² - x - 6/x² - 9 is a rational function
∴ It will be undefined at the values of x of the denominator
∵ The denominator is x² - 9
∵ x² - 9 = 0 ⇒ x² = 9 ⇒ x = ±√9
∴ x = ± 3
∴ f(x) can not be defined at x = 3
∴ The f(x) can not be continuous at x = 3
∴ The answer is (b)
Answer:
b. f is not defined at x=3
Step-by-step explanation:
The given function is
[tex]f(x)=\frac{x^2-x-6}{x^2-9}[/tex]
One of the conditions for continuity is that; the function must be defined at [tex]x=a[/tex]
If we plug in [tex]x=3[/tex], we obtain;
[tex]f(x)=\frac{3^2-3-6}{3^2-9}[/tex]
[tex]f(x)=\frac{9-3-6}{9-9}[/tex]
[tex]f(x)=\frac{0}{0}[/tex]
Since the function is not defined at x=3, it is not also continuous at x=3
The correct choice is B
A cylinder with radius 3 feet and height 5 feet is shown. Enter the volume of the cylinder in cubic feet. Round your answer to the nearest hundredth.
volume of the cylinder= pi r^2 h
=22/7*3*3*5=141.428
nearest hundredth =141.420
volume of the given cylinder= 141.42 cubic feet
Answer:
The volume of the cylinder is 141.43 ft³.
Step-by-step explanation:
Since, the volume of a cylinder is,
[tex]V=\pi (r)^2 h[/tex]
Where, r is the radius of the cylinder,
And, h is the height of the cylinder,
Here, r = 3 feet,
h = 5 feet,
Hence, the volume of the given cylinder is,
[tex]V=\pi (3)^2 (5)[/tex]
[tex]=\frac{22}{7}\times 9\times 5[/tex] ( [tex]\pi =\frac{22}{7}[/tex] )
[tex]=\frac{990}{7}[/tex]
[tex]=141.428571429\text{ cube feet}=141.43\text{ cube feet}[/tex]
A type of fabric costs $2.48 per yard.in a relation,the input is the number of yards of the fabric and the output is the cost.
Answer:
Option A
Step-by-step explanation:
A relation can be defined as a function if there is only one output for each input.
In this case, the output is the cost of the fabric and the input is the number of yards of fabric.
Then, for each number of yards of fabric there will be a cost. But there will not be two different costs (outputs) for the same number of fabric yards (entrance)
Then the answer is the Option A: Yes, because one imput (number of yards of fabric) will always have the same output (costs)
WILL MARK THE BRAINILEST!!!!!
Richard is 25 years old and starting an IRA (individual retirement account). He is going to invest $200 at the beginning of each month. The account is expected to earn 2.85% interest, compounded monthly. How much money will Ricky have in his IRA when he retires, at age 65?
$87,564.17
$452,588.21
$14,993.11
$179,165.14
What are the coordinates for the function of the vertex for the quadratic function below
We will need to picture for this.