Answer:
Step-by-step explanation:
EASY POINTS!
A small business takes out an $18,800 loan from a bank. How much will the small business need to repay one year later if the interest is 4.4%?
$32,720
$19,627.20
$42,727
$827.20
Answer:
$827.20
Step-by-step explanation:
0.044 x 18800 = 827.20
(a+8)/5 + (a-8)/7 = 4
The value of a is 31/3 in the equation (a+8)/5 + (a-8)/7 = 4.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is (a+8)/5 + (a-8)/7 = 4
Multiply with the LCM
7(a+8)+5(a-8)=140
Apply distributive property
7a+56+5a-40=140
Add the like terms
12a+16=140
12a=124
Divide both sides by 12
a=124/12
a=31/3
Hence, the value of a is 31/3 in the equation (a+8)/5 + (a-8)/7 = 4.
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Felix's dinner costs $16.49. Felix pays a $20 bill. ABOUT how much change did he receive? Show your work.
Answer: $3.50
Step-by-step explanation:
20.00 - 16.49 = 3.51
3.51 rounded to the nearest 10 is 3.50
Answer: 3.50
Very confused please help!
The units of R'(7) are gallons/hour/hour, or equivalent gallons/hour is 6 = 0.15 gallons per hour and 2 R(t) dt using the average Riemann sum with four equal length partitions is 383.04 gallons.
How to calculate the total estimate?(a) R'(7), you can use the mean rate of change formula.
R'(7) ≈ [R(10) - R(4)] / [10 - 4]
With the data from the table it looks like this:
R(10) = 11.3 gallons per hour
R(4) = 10.4 gallons per hour
For this,
R'(7) ≈ (11.3 - 10.4) / 6 = 0.15 gallons per hour
The units of R'(7) are gallons/hour/hour, or equivalent gallons/hour squared.
(b) To approximate 2 R(t) dt using the average Riemann sum with four equal length partitions, we can use
Δt = (24 - 0) / 4 = 6
2 R(t) dt ≈ 2Δt [R(1.5Δt) + R(4.5Δt) + R(7.5Δt) + R(10.5Δt)]
With the data from the table it looks like this:
R(1.5Δt) = R(4.5) = 10.4 gallons/hour
R(4.5Δt) = R(10.5) = 11.3 gallons per hour
R(7.5Δt) = R(16.5) = 10.2 gallons/hour
R(10.5Δt) = R(22.5) = 9.6 gallons per hour
For this,
2 R(t) dt ≈ 2(6) [10.4 + 11.3 + 10.2 + 9.6] = 383.04 gallons
The approximate unit of integral is the gallon.
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Which expressions are equivalent to
3
(
−
2
�
−
4
)
+
3
�
3(−2a−4)+3a3, left parenthesis, minus, 2, a, minus, 4, right parenthesis, plus, 3, a
The answer is (A) because -6a -12 +3a is the expression that equals 3 (-2a-4) +3a.
What are Expressions?A group of numbers or variables coupled with the operations +, -,/, or form an expression.
Algebraic expressions with variables, numbers, and mathematical operators, as opposed to arithmetic expressions that simply contain numbers and mathematical operators.
So, we have the expression:
3 ( -2a-4) +3a
There is just one variable in this expression: a.
The bracket will be opened using the distributive property.
The Distributive property states that multiplying a number by the sum of two other numbers will have the same outcome as multiplying the number by each addend separately.
3 * (-2a) + (3 * ( -4)) +3a
When addressing the brackets:
-6a -12 +3a
Putting like phrases together:
Similar phrases are grouped together using the Associative feature.
The associative property states that even if the order of the numbers is changed, the total of two or more remains the same:
-6a +3a -12
+3a -12
Therefore, the answer is (A) because -6a -12 +3a is the expression that equals 3 (-2a-4) +3a.
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Complete question:
Which expressions are equivalent to 3(-2a-4)+3a3(−2a−4)+3a3, left parenthesis, minus, 2, a, minus, 4, right parenthesis, plus, 3, a ? Choose all answers that apply: Choose all answers that apply: (Choice A) A -6a-12+3a−6a−12+3aminus, 6, a, minus, 12, plus, 3, a (Choice B) B 3a+123a+123, a, plus, 12 (Choice C) C None of the above
In one day, the stock price for Warbucks Coffee rose from $5 to $6 per share. By what percent did this stock price rise?
By 17.77 percent this stock price rises.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, In one day, the stock price for Warbeck's Coffee rose from $5 to $6 per share.
From the general formula of percentage:
Percentage = difference value/ total value * 100
In our case,
Difference value = 6-5
Difference value = 1
total value = 6
thus,
Percentage change = 1/6 * 100
percentage change = 17.77%
Therefore, By 17.77 percent this stock price rises.
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Your parents have a credit card with a balance of $3,287.90 at an interest rate of 14.5% APR. They pay $1,200.00 each month on the due date until the card is paid off. How many months does it take to pay off the card, and what is the total amount paid including interest?
Each month, the interest for the current balance is calculated as:
$3,287.90 * 14.5% / 12 = $48.22
How Do Interest Rates Work?
The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR (APR).
The new balance after each payment is:
$3,287.90 + $48.22 - $1,200.00 = $2,147.12
Repeat the calculation until the balance is zero:
Month 1:
Balance: $3,287.90
Interest: $48.22
New Balance: $2,147.12
Month 2:
Balance: $2,147.12
Interest: $31.14
New Balance: $1,178.26
...
Month 26:
Balance: $0.00
So, it takes 26 months to pay off the credit card, and the total amount paid including interest is $31,622.68.
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PLEASE LIST A,B,C,D,E,F (image attached)
Answer:
[tex]a (5)[/tex]
[tex]b (0,5)[/tex]
[tex]c (-3,0,5)[/tex]
[tex]d (1/3, 5/8, 66/67, -1.27)[/tex]
[tex]e( \sqrt{2} \: \sqrt{7} \: )[/tex]
[tex]f( - 3 \: 5 \: \frac{1}{3} \: \frac{5}{8} 0 \: \sqrt{2 \:} \sqrt{7} - 1.27 \: \frac{66}{67} )[/tex]
K
W
Use the accompanying radiation levels in
kg
phones. Find the percentile P25-
P25 =
for 50 different cell
W
(Type an integer or a decimal. Do not round.)
kg
0.25 0.29 0.35 0.52 0.62 0.62 0.63 0.65 0.73 0.82
0.87 0.90 0.91 0.92 0.94 0.94 0.96 0.99 1.05 1.09
1.09 1.10 1.12 1.15 1.15 1.16 1.16 1.17 1.18 1.19
1.19 1.21 1.28 1.28 1.29 1.32 1.32 1.34 1.34 1.36
1.36 1.38 1.39 1.41 1.43 1.43 1.44 1.44 1.51 1.56
na
01
The 25th percentile of radiation levels is given as follows:
P25 = 0.905 W/kg.
How to obtain the percentile rank?A measure is said to be in the xth percentile of the data-set if it the bottom separator of the bottom x% of measures of the data-set and the top (100 - x)% of measures, that is, it is greater than x% of the measures of the data-set.
In this problem, the data-set has 50 elements, hence the position of the element at the 25th percentile is given as follows:
0.25 x 50 = 50/4 = 12.5.
Meaning that the 25th percentile is the mean of the 12th and 13th elements, as follows:
P25 = (0.9 + 0.91)/2
P25 = 0.905 W/kg.
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suppose a pipe containing water with 0.2 kg of sugar per liter runs into a tank filled with 400 liters of water currently containing 10 kg of sugar. the flow from the pipe enters the tank at 10 liters per minute. the solution is kept thoroughly mixed and drains from the tank at the same rate. setup and solve an initial value differential equation.
An initial value differential equation is S(t) = 10 * e^(-0.005t).
Sugar Amount Differential EquationThe initial value differential equation for the amount of sugar in the tank can be modeled as:
dS/dt = (0.2 kg/L) * 10 L/min - (S/400 L) * 10 L/min
where S is the amount of sugar in the tank in kg and t is the time in minutes.We can solve this equation using separation of variables:dS/S = -0.005 dt
Integrating both sides:ln(S) = -0.005t + C
Using the initial condition that S = 10 kg at t = 0:ln(10) = C
So the solution is:S(t) = 10 * e^(-0.005t)
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please answer fast, question from ixl.
Coach Yamada can make fewer than 10 full teams.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
Each team can have 8 players.
and, not more than 80 players can the Coach take.
let x be the number of teams formed then the inequality is
8x < 80
Now, solving the inequality
x< 80/8
x < 10.
Hence, Fewer than 10 full teams can be made.
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I added a screenshot.
Answer:
gyyvggghhbbdsdgbnkkk
Given a power function, h (x) = 3x0.5, determine which statement(s) accurately
describes the behavior of h(x).
The domain for h(x) is [0, ∞).
h(x) has a zero at x=0.
h(x) is increasing on (-∞, ∞).
h(x) has no relative maximum.
Submit Answer
attempt 3 out of 3/problem 1 out of max 1
The power function, h(x) = [tex]$$3x^{0.5[/tex] then the domain for h(x) is [0, ∞).
What is meant by power function?A power function is a single-term function that has a real number, a coefficient, and a variable raised to a specified real number as its product. Coefficients are numbers that multiply a variable by itself when it is increased to an exponent.
A variable base raised to a fixed power is a component of a power function. This function is raised to a variable power from a constant base. Not a power function, but an exponential function is what this is.
The power function in statistics is a function that connects the likelihood of rejecting a null hypothesis on the value of a parameter to its true value. An exponential function has its variable in its exponent, whereas a power function has its variable in its base. This is the key distinction.
Therefore, the correct answer is option a) The domain for h(x) is [0, ∞).
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Need help on Hw is this correct? If not please help.
Answer:
D
Step-by-step explanation:
(f(g(x))' = g'(x)×f'(g(x))
so,
4×e^(-7x) = g'(x)×f'(g(x)
we know that
(e^x)' = e^x
and the integral vice versa (+ C of course).
4×(e^(-7x))' = 4×(-7x)'×e^(-7x) = 4×-7×e^(-7x)
so, in order for
(f(g(x))' = 4×e^(-7x)
we need to have an additional -1/7 factor in f(g(x)) (which is the integral of (f(g(x))'):
-1/7 × 4 × e^(-7x) = -4/7×e^(-7x)
so, D is the correct answer
Hudson bought snacks for his team's practice. He bought a bag of apples for $1.59
and a 10-pack of juice bottles. The total cost before tax was $7-39.
Write and solve an
equation which can be used to determine r, how much each bottle of juice cost.
Answer:
Step-by-step explanation:
Let r be the cost of each juice bottle.
The total cost of the juice bottles is 10 * r = 10r.
The total cost of the apples and the juice is $1.59 + 10r = $7.39.
We can set up an equation using the above information:
$1.59 + 10r = $7.39
10r = $7.39 - $1.59 = $5.80
r = $5.80 / 10 = $0.58
Therefore, each juice bottle costs $0.58.
Is it ever possible to have a graph of a function that is symmetric about the y-axis AND the origin? Explain your thinking. (say yes or no and explain in more detail)
Yes, it is possible to have a graph of a function that is symmetric about both the y-axis and the origin. This means that if (x, y) is a point on the graph, then (-x, y) and (x, -y) are also points on the graph.
In other words, the function has both reflectional symmetry about the y-axis and rotational symmetry about the origin. An example of such a function is y = x², which is a parabolic function that opens upwards and is symmetric about both the y-axis and the origin.
What is the function about?A graph is symmetric about the y-axis if the graph is unchanged when reflected over the y-axis. This means that for any point (x,y) on the graph, the corresponding point (-x,-y) will also be on the graph. A graph is symmetric about the origin if the graph is unchanged when reflected over the origin.
Therefore, This means that for any point (x,y) on the graph, the corresponding point (-x,y) will also be on the graph. When a graph is symmetric about both the y-axis and the origin, it means that the graph is unchanged when reflected over either the y-axis or the origin.
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Describe the x-values at which the function is differentiable. (Enter you answer using interval notation.)
f(x) = (x+2)^2/3
A bakery sells three varieties of muffins. On a recent morning, the bakery sold 41 blueberry muffins, 27 bananas nut muffins and 20 bread muffins. Estimate the total number of muffins sold.
What is 32% expressed as a decimal?
Given the problem:
What is 32% expressed as a decimal?
To convert percentages to decimals, simply divide the percentage by 100. Or move the percentage sign two places to the left and change it to a decimal point.
So the answer is 0.32
Find the area of the shape.
Either enter an exact answer in terms of iT or use 3.14 for
and enter your answer
as a decimal.
units?
The area of the shape is 12.56 square units
How to determine the rea of the shapeFrom the question, we have the following parameters that can be used in our computation:
Radius = 2
The area of a circle is calculated as
Area = pi * r^2
Substitute the known values in the above equation, so, we have the following representation
Area = 3.14 * 2^2
Evaluate
Area = 12,56
Hence, the area is 12.56 square units
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Complete question
A circle has a radius of 2 units
Find the area of the shape.
Either enter an exact answer in terms of iT or use 3.14 for
and enter your answer
as a decimal.
units?
Find the point-slope form of the equation of the line satisfying the conditions below and use this to write the slope-intercept form of the equation:
Slope = 3/4, passing through (0, 4)
Select one:
a.
y = 3/4x - 4
b.
y = 3/4x + 4
c.
y = -3/4x - 4
d.
-4/3x - 16/3
Answer:
b
Step-by-step explanation:
Point (0,4) slope (3/4) form would be
y-4 = 3/4 ( x-0) re-arrange to y = mx + b form
y = 3/4x + 4
[tex]7x/5x^2-x[/tex]
Answer:
Hi, I'm Za'Riah! I will gladly assist you with your problem! (see explanation)
Step-by-step explanation:
Simplify:[tex]7x/5x^2-x\\= \frac{-5x^2+7x}{5x^2} \\=\frac{-5x^2+7}{5x}[/tex]
(Hope this helps!)
What number has 1 ten thousand, the same number of thousands as ten thousands, 8 more hundreds than thousands, 7 fewer tens than hundreds, and 1 more than tens?
Answer: 11,923
Step-by-step explanation:
Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? 3x + 4y = 38 5x - 5y = 30
The solution of given system of equations is (10, 4).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are 3x+4y=38 -----(I) and 5x-5y=30 -------(II)
x-y=6 -------(III)
x=6+y
Substitute x=6+y in equation (I), we get
3(6+y)+4y=38
18+1y+4y=38
5y=20
y=4
Substitute y=4 in equation (III), we get
x=10
So, the solution is (10, 4)
Therefore, the solution of given system of equations is (10, 4).
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5.___________________means if an event happens by chance
HELP SOS MATHHH MATHH
Answer:
(2s,0)
Step-by-step explanation:
since there are no numbers at point M to help find point L answer should be (2s,0)
Answer:
(2s,0)
Step-by-step explanation:
because it's isosecle triangle so do a line from M to x axis, it should be the mid point of L. so L =2s
L is on x-axis, so y=0
Please help me with this question.
The solution of the given differential initial value problem is
y(x) = 1/25 e⁻⁵ˣ(6e⁵ˣ - 5x - 6).
What is initial value problem?In multivariable calculus, an initial value problem is an ordinary differential equation together with an initial condition which specifies the value of the unknown function at a given point in the domain.Given is the initial value problem -
y''' + 10y'' + 25y' = 0
We can write the -
[tex]$25 \frac{d}{d x} y{\left(x \right)} + 10 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = 0$[/tex]
The given differential equation can be solved and written as -
y(x) = 1/25 e⁻⁵ˣ(6e⁵ˣ - 5x - 6)
Therefore, the solution of the given differential initial value problem is
y(x) = 1/25 e⁻⁵ˣ(6e⁵ˣ - 5x - 6).
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75° 30’ convert into radian
When 75°30' converted into radian it will be 1.309 radians.
What do you mean by radian?A radian is a unit of measurement for angles in mathematics. It is defined as the angle formed at the center of a circle by an arc that is equal in length to the radius of the circle. In other words, a radian is the angle that subtends an arc equal in length to the radius of the circle.
The radian is used as a unit of measurement because it provides a convenient and natural way to describe angles in terms of their relationship to circles. It allows for the calculation of angles in terms of lengths, making it easier to solve problems involving circular motion and trigonometry. The conversion between degrees and radians is given by the formula: 1 radian = 180/π degrees, where π is the mathematical constant pi.
To convert degrees to radians, use the formula: radians = (degrees × π) / 180.
For 75° 30', the conversion to radians is:
radians = (75° 30' * π) / 180 = (75 + 30/60) * π / 180 = 1.309 radians.
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A camera has a listed price of $704.95 before tax. If the sales tax rate is 9.75%, find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$773.55
Step-by-step explanation:
To find the total cost of the camera with the sales tax included, you need to calculate the amount of sales tax and add it to the listed price of the camera.
The sales tax rate is given as 9.75%. To convert this to a decimal, divide the percentage by 100: 9.75/100 = 0.0975
To find the amount of sales tax, multiply the listed price of the camera by the sales tax rate as a decimal: $704.95 x 0.0975 = $68.60
To find the total cost of the camera, add the amount of sales tax to the listed price: $704.95 + $68.60 = $773.55
So the total cost of the camera with the sales tax included is $773.55
Please help me with this question.
Based on the information provided, the area of this triangle is 44.17 square centimeters.
How to calculate the area of a triangle?The area of a triangle (surface occupied by the triangle) can be calculated using the three lengths of the sides of the triangle or using two sides and one angle as it is shown below:
Multiply the two sides given: 5.6 cm x 18.6 cm = 104.16 square centimeters.Multiply this value by sin (y) 104.16 x 58 sin = 44.17 cmBased on this, the area of the triangle given is 44.17 square centimeters.
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