Answer:
Final answer is $4440.
Step-by-step explanation:
Let amount of money invested in 8% stock = x
Let amount of money invested in 6% stock = y
then total money invested $325.6 gives equation
8% of x + 6% of y = 325.6
0.08x + 0.06y = 325.6
8x + 6y = 32560...(i)
other equation will be x=2y...(ii)
plug (ii) into (i)
8x + 6y = 32560
8(2y) + 6y = 32560
16y+ 6y = 32560
22y = 32560
[tex]y=\frac{32560}{22}[/tex]
y=1480
plug y=1480 into (ii)
x=2y=2(1480)=2960
Then total money invested in stocks = x+y= 1480+2960=4440
Hence final answer is $4440.
A Quadratic equation has exactly one real number solution. Which is the value of its discriminant
Answer:
Discriminant = 0Step-by-step explanation:
A quadratic equation:
ax² + bx + c = 0.
A discriminant:
D = b² - 4ac
If D < 0, then the equation has no real solution.
If D = 0, then the equation has one real solution.
If D > 0, then the equation has two real solutions.
Answer:
the answer is 0 on Edg en uityWhat is the distance between point A and point B? Round your answer to the nearest tenth.
A. 5
B 3.6
C. 6
D. 2.2
Answer:
(B) 3.6
Step-by-step explanation:
Coordinate of A = (-3, 9)
Coordinate of B = (-1, 6)
[tex]\text {Distance = }\sqrt{(- 3 - (-1) )^2 + (9 - 6)^2}[/tex]
[tex]\text {Distance = }\sqrt{(- 2 )^2 + (3)^2}[/tex]
[tex]\text {Distance = }\sqrt{13}[/tex]
[tex]\text {Distance = }3.6[/tex]
Answer:
B
Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(- 3,9) and (x₂, y₂ ) = B(- 1, 6)
d = [tex]\sqrt{-1+3)^2+(6-9)^2}[/tex]
= [tex]\sqrt{2^2+(-3)^2}[/tex]
= [tex]\sqrt{4+9}[/tex]
= [tex]\sqrt{13}[/tex] ≈ 3.6 → B
Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner.
6x + 3y = 27 5x+ 2y + 21
Which variable should he choose so that he can use substitution to solve the system?
Jon should solve for y in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.
Jon should solve for x in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.
Jon should solve for y in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.
Jon should solve for x in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.
The most efficient way to solve this problem is isolating the y in the first equation because:
6x + 3y = 27
3y = 27 - 6x
y = 9 - 2x
Since all the numbers have a common factor of 3, it can be easily simplified/reduce.
If you used any other variable, you would have gotten a fraction.
Now that you found y, you can substitute it into the other equation to solve for x.
ANYWAYS, your answer is A
Answer:
A
Step-by-step explanation:
Jon should solve for y in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.
3. Find the missing angles in the following triangle.
A. 45,90
B. 60, 120
c. 30,60
D. 45, 45
Answer:
a. 45 b. 60 c.30 d.90
Step-by-step explanation:
I help you
A car rental agency has 15 vehicles available, of which 3 are minivans.
What is the probability that a randomly selected vehicle will be a minivan?
Simplify your answer and write it as a fraction or whole number.
P(minivan) =
Answer:
i am pretty sure its 1/5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
P (minivan) = number of minivans / total number of vehicles
We have 3 minivans and 15 vehicles
P (minivan) = 3/15 = 1/5
solve equation for y .x - y= -1
Answer:
y = -1-x
Step-by-step explanation:
Consider triangle pqr. Which is the length of side qr
Answer:
QR = 16 units
Step-by-step explanation:
Given that ΔPQR is right with hypotenuse QR
We can apply Pythagoras' theorem to find QR
QR² = 8² + (8[tex]\sqrt{3}[/tex])²
= 64 + 192
= 256
Take the square root of both sides
QR = [tex]\sqrt{256}[/tex] = 16 units
which expression is equivalent to -1/2 (6x-5)
Answer:
-3x + 2.5Step-by-step explanation:
[tex]-\dfrac{1}{2}(6x-5)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=\left(-\dfrac{1}{2}\right)(6x)+\left(-\dfrac{1}{2}\right)(-5)=-3x+2.5[/tex]
Final answer:
The expression equivalent to -1/2 (6x-5) is -3x + 2.5. The distributive property is used to multiply -1/2 with each term inside the parentheses.
Explanation:
The expression equivalent to -1/2 (6x-5) can be found by applying the distributive property of multiplication over addition and subtraction. This property allows us to multiply each term inside the parentheses by -1/2 to achieve the equivalent expression. Therefore, we proceed as follows:
Multiply 6x by -1/2 to get -3x.
Multiply -5 by -1/2 to get 5/2 or 2.5.
Putting it all together, the equivalent expression is -3x + 2.5. When simplifying expressions involving negative exponents or distributing negative factors, it's essential to carefully apply the multiplication to each term separately to avoid errors.
Simplify the expression but leave it in terms of 4 and 5.
4⁶5^-3÷4²5⁷
Answer:
150
Step-by-step explanation:
Solve for in simplest form
2x < 15
it can be 2, 3, 4, 5, 6, or 7.
if h(x)=4x2-16 were shifted 5 units to the right and 2 down, what would the new equation be?
Answer:h ( x ) = 4 ( x - 5 )² - 18
ANSWER
B.
[tex]H(x) = 4 {(x - 5)}^{2} - 18[/tex]
EXPLANATION
The given equation is
[tex]H(x) = 4 {x}^{2} - 16[/tex]
This function is the same as:
[tex]H(x) = 4 {(x - 0)}^{2} - 16[/tex]
This function has its vertex at:
(0,-16).
This function is shifted 5 units to the right and two units down.
The new equation is:
[tex]H(x) = 4 {(x - 0 - 5)}^{2} - 16 - 2[/tex]
Simplify to get:
[tex]H(x) = 4 {(x - 5)}^{2} - 18[/tex]
The correct choice is B.
a rectangular prism as a volume of 80 cubic inches. It has a length of 8 inches and a width of 5 in. What is the height of the rectangular prism
2 inches
The volume of a rectangular prism is length * width * height.
Substitute in the values to get 8 * 5 * height = 80.
Now, simplify to get 40 * height = 80.
Divide both sides of the equation by 40 to get height = 2.
This means the height of the rectangular prism is 2 inches.
A rectangular prism is a 3-dimensional shape; height, width, length. These three variables, when multiplied, will produce a volume for a rectangular prism. We are given everything we need but the height.
Given:
Volume, V = 80 in3
Length, L = 8in
Width, W = 5in.
Height, H = H in
8 inches * 5 inches * H inches = 80 inches3
40 inches2 * H inches = 80 inches 3
(divide each side by 40 inches2)
H inches = 2 inches.
The rectangular prism is 2 inches tall.
Jamie and Chris both started a stamp collection at the same time. Jamie started her stamp collection with 100 stamps and added 13 stamps to her collection each week. Chris started his stamp collection with 130 stamps and added 8 stamps to his collection each week. After how many weeks did Jamie and Chris have the same number of stamps in their collections?
a.) 6
b.) 230
c.) 10
d.) 178
Answer:
A) 6
Step-by-step explanation:
8 (6) = 48
130 + 48 = 178
13 (6) = 78
100 + 78 = 178
178 = 178
Rewrite the following logarithm.
logxy
Step-by-step explanation:
[tex]\text{Use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log(xy)=\log(x)+\log(y)\\\\\text{Where}\ x>0\ \text{and}\ y>0.[/tex]
Final answer:
To rewrite the logarithm log(xy), you apply the property that the logarithm of a product is equal to the sum of the logarithms of the individual factors, resulting in log x + log y.
Explanation:
The logarithm you are asked to rewrite is log(xy). According to the properties of logarithms, the logarithm of a product is equal to the sum of the logarithms of the individual factors. This means that log(xy) = log x + log y. This rule is useful for simplifying logarithmic expressions and is a direct consequence of how exponents work.
Another property to remember is that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. This is expressed as log(xy) = y × log x.
Remember, both properties are fundamental in working with logarithms and can be applied regardless of the base of the logarithm, whether it's log to the base 10, ln for natural logarithms (to the base e), or any other base.
pls help! will give thx and 5star and whatever just plss help
Answer:
18. Scalene
19. Quadrilateral
20. option i)
Step-by-step explanation:
18. A triangle whose all the three sides are different is called a scalene Triangle . Where are whose two sides are equal is called an isosceles triangle and whose all the sides are equal is called an equilateral triangle. Here all the sides are of different measurement hence it is a scalene triangle.
19. A polygon containing
3 sides is a triangle
4 sides is Quadrilateral
5 Sides is a Pentagon
6 sides is a Hexagon
8 Sides is Octagon
Our polygon contains four sides, it is hence a quadrilateral
20.
Option i)
In two congruent figures , the corresponding sides and angles are equal.
corresponding side of s is side measuring 14 ft and that of t is the side measuring 12 ft
Hence s = 14 and t = 12
corresponding angles of u is angle measuring 90° and that of r is the angle measuring 90°
Hence ∠u = 90° and ∠r=90°
Write an equation of an exponential function of the form y=ab^x passing through the points (0,8) and (6,0.125)
Answer:
[tex]y=8\cdot \left(\dfrac{1}{2}\right)^x.[/tex]
Step-by-step explanation:
If the graph of exponential function passes through the points (0,8) and (6,0.125), then the coordinates of these points sutisfy the equation [tex]y=a\cdot b^x:\\[/tex]
[tex]8=a\cdot b^0\Rightarrow a=8,\\ \\0.125=8\cdot b^6\Rightarrow \dfrac{1}{8}=8\cdot b^6,\\ \\b^6=\dfrac{1}{64},\\ \\b^6=\dfrac{1}{2^6}\Rightarrow b=\dfrac{1}{2}.[/tex]
Thus, the equation of exponential function is
[tex]y=8\cdot \left(\dfrac{1}{2}\right)^x.[/tex]
What is the volume of the prism?
PLS HELP IM SUPER SICK AND CAN'T FOCUS RN! GIVING BRAINLIEST! Enter your answer in the box as a mixed number in simplest form.
___ cm³
A rectangular prism with the width as five centimeters, the length as three and a half centimeters and the height as four and a half centimeters.
Answer:
78.75 cm³
Step-by-step explanation:
Volume = Length × Height × Width
V = 3.5 × 4.5 × 5
V = 78.75 cm³
6. 2× =5
7. y +1.8=14.7
8. 6=1/2 z
9. 3 1/4=1/2 +w
10. 2.5t=10
Answer:
6=1/2z
6÷1/2=1/2÷1/2z
6÷1/2=z
6×2/1 = z
z=12
Marcella earned $432 during one week she worked eight hours for four days and four hours on one day what was Marsellus pay per hour?
Answer:
10.8
Step-by-step explanation:
The answer is approx. 10.8 per hour.
If you want to round it up, it would be 11. I prefer you not to round though as this is Money. Money should have decimals included.
Divide 432 and 8. You should get 54. Then, divide by 5 and you will get 10.8. Divide by 5 because you still need the rate even though she worked 4 hours one day
h(x)= 6-3x when x=-1/4
Answer:
6 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Substitute x = - [tex]\frac{1}{4}[/tex] into h(x)
h(- [tex]\frac{1}{4}[/tex]) = 6 - (3 × - [tex]\frac{1}{4}[/tex])
= 6 - (- [tex]\frac{3}{4}[/tex])
= 6 + [tex]\frac{3}{4}[/tex] = 6 [tex]\frac{3}{4}[/tex]
Choose the set of equations that best represent the following information:
The sum of two numbers, a and b, is 12. The first number, a, is 8 more than the second number.
A. ab = 12, a + 8 > b
B. a + b = 12, a = b + 8
C. a + a = 12, b - 8 = a
D. a + b = 8, a > b + 12
Answer:
b
Step-by-step explanation:
The set of equations that best represent the given information is B. a + b = 12, a = b + 8. This represents both conditions: the sum of the two numbers is 12 and a is 8 more than b.
Explanation:The best representation of the given information is provided by option B. a + b = 12, a = b + 8. This is because it accurately portrays both conditions mentioned in the question. The first part of the equation, a + b = 12, represents the information that the sum of the two numbers a and b is 12. The second part of the equation, a = b + 8, represents the information that the first number, a, is 8 more than the second number, b.
Learn more about Mathematical Representation here:https://brainly.com/question/2850842
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The density of an object is related to its mass and volume. the equation below shows the relationship between density (d),mass (m),and volume( v). which equation represents the volume of an object in relation to its density in mass?
^ This is the first question, but can you answer the other question in the picture below?
The volume of an object in relation to its density and mass can be calculated using the equation V=m/d, where V is volume, m is mass, and d is density.
Explanation:The volume (V) of an object in terms of its density (d) and mass (m) can be calculated by rearranging the equation for density. The density is defined as the ratio of the mass to the volume (d=m/V). To express the volume in terms of mass and density, we need to solve the equation for V, which gives us V=m/d. So, if we know the mass and density of an object, "we can calculate its volume by dividing the mass by the density".
For example, if an object has a mass of 10kg and a density of 2kg/m³, the volume of this object would be 10kg/2kg/m³=5m³.
Learn more about density here:https://brainly.com/question/29775886
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convert 150 degrees to radian
Answer:
A
Step-by-step explanation:
To convert degrees to radians
radian measure = degree measure × [tex]\frac{\pi }{180}[/tex]
Hence
radian measure = 150° × [tex]\frac{\pi }{180}[/tex]
Cancel both 150 and 180 by 30, then
radian measure = 5 × [tex]\frac{\pi }{6}[/tex] = [tex]\frac{5\pi }{6}[/tex]
Final answer:
To convert 150 degrees to radians, multiply 150 by π/180 to get 5/6 * π or approximately 2.61799 radians.
Explanation:
To convert 150 degrees to radians, we use the fact that one complete revolution is 360 degrees which is equal to 2π radians (approximately 6.28318 radians). From this, we can derive that 1 degree is equal to π/180 radians. We multiply the value in degrees by π/180 to get the equivalent in radians.
150 degrees * π/180 radians/degree = 150/180 * π radians = 5/6 * π radians.
Therefore, 150 degrees is equal to 5/6 times π or approximately 2.61799 radians.
A city has a population of 23,000 in the year 2014, 27,600 in the year 2015, 33,120 in the year 2016, and 39,744 in the year 2017. If the pattern continues, what will the population be in the year 2024,
A. 142,410
B. 170,892
C.83,345
Answer:
A. 142,410
Step-by-step explanation:
For this purpose we have to find the pattern in previously given information
The given information is:
23000, 27600, 33120, 39744
The given sequence can be assumed as a geometric sequence
The common ratio is:
r = 27600/23000
r = 1.2
Hence the next term is obtained by multiplying with 1.2
So,
Population in:
2018 = 39744*1.2 = 47692.8
2019 = 47692.8 * 1.2 =57231.36
2020 = 57231.36*1.2 =68677.632
2021 =68677.632 * 1.2 = 82413.1584
2022= 82413.1584 * 1.2 =98895.79
2023= 98895.79 * 1.2 = 118674.948
2024 = 118674.948*1.2 = 142409.9376
Since the number of person/ population should be a whole number so,
The population in 2024 will be 142410
So, Option A is correct ..
A rectagular, above ground pool is 18 feet long, 9 feet wide, and 54 inches deep. One cubic foot of water weighs about 62.4 pounds. What is the total weight of the water in the pool when it is completely full?
Answer:
45,489.6 pounds!
Step-by-step explanation:
To solve this problem, first we need to find the volume of the pool.
We know that the dimensions of the pool are:
Width = 9ft
Length = 18ft
Height = 54in = 4.5 ft
So the volume of the pool is:
Volume = Width x Length x Height = 9ftx18ftx4.5ft = 729ft^3
We know that one cubic foot of water weights about 62.4 pounds. To fill the pool, we will need 729ft^3 of water.
So the weight of the water is:
Weight = 729ft^3 x 62.4 pounds/ft = 45,489.6 pounds!
A number decreased by 24 is -1
Answer:
23
Step-by-step explanation:
The word decreased indicates the use of subtraction, so to figure out our answer we do the opposite, -1 + 24 = 23, after that we then subtract, 23 - 24 = -1, there for your answer should be 23 - 24 = -1, or more simply the number that has to be decreased to make the statement true is 23
Question: A number decreased by 24 is -1
Answer: 23
Explanation: WORK BACKWARDS...
-1 + 24 = 23
WHEN WE CHECK BACK TO SEE IF THE ANSWER IS CORRECT:
23 - 24 = -1
Amelia stacks a moving box on top of a larger box. Both boxes have the same width.
What is the combined volume of the boxes?
Answer:
The answer is 476.
Step-by-step explanation:
The bottom box has a volume of 350, (10x7x5). The top box has a volume of 126, (3x7x6). Combined, that equals 476.
Is 9.59166304663 a rational or irrational number.
it’s a rational number
Answer: Rational
Step-by-step explanation:
Because it is the square root of 92 therefore it is a decimal number, and thus rational.
kira earned $25,000 last year. the earnings needed for one social security credit last year was $1,200. How many social security credits did kira earn?
Answer: 20
Explanation: You can multiply 1,200 by 20 to get 24,000 which is the highest you can go until you go over 25,000
Answer:
He would get an adding amount to 20
Its simple, just divide 25,000 (his total amount) bc your trying to find how much cards he can buy with his total amount. This would mean 25,000 divided by 1,200 meaning 20. He would have a few more dollars but it would be enough to get a 21'th card. This mean he is stuck with 20 as his amount of cards.
Text is 3. illustrations is 2. based on the ratio what is the number of pages of text when there are 22 pages
Answer:
33 pages of text
Step-by-step explanation:
The ratio of the number of pages of text to illustration is given 3:2. This implies that for every 2 pages of illustrations, there are 3 pages of text. Therefore, for 22 pages of illustration we shall have;
(22*3)/2 = 33 pages of text .
Using ratio and proportions this is solved as follows;
[tex]\frac{2}{3}=\frac{22}{x}[/tex]
where x is the corresponding number of pages of text. The next step is to cross multiply and solve for x;
x = (22*3)/2 = 33 as shown above.