Part a
The equation for the way Michelle is paid is
Total weekly payment y = 495.50 + 0.105x
Part b
The total payment in a month = $4021.625
She makes a 10.5% commission on every kayak she sells
Consider the total value of kayaks she sold = x
The rate of commission = 10.5%
The amount of commission = x × (10.5/100)
= 0.105x
The weekly fixed payment = $495.50
Total weekly payment y = 495.50 + 0.105x
Part b
The total value of the kayaks she sold = $19425
Total number of weeks in a month = 4
Then the total payment in a month = (4 × 495.50) + (0.105×19425)
= 1982 + 2039.625
= $4021.625
Hence,
part a
The equation for the way Michelle is paid is
Total weekly payment y = 495.50 + 0.105x
Part b
The total payment in a month = $4021.625
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alpha beta square +alpha square beta quadratic equation
β=-α is the solution for alpha beta square +alpha square beta quadratic equation
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .
alpha beta square +alpha square beta quadratic equation
αβ²+βα²
αβ(β+α)
αβ=0
and
β+α=0
β=-α
Hence β=-α is the solution for alpha beta square +alpha square beta quadratic equation
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(9t²-t-6)(9t² +9t - 1)
Help!
Answer:
we can't give an answer if there's not explanation of which "t" is
The median monthly rent in 2005 was $694 and $810 in 2010. What was the percent increase in the median monthly rent prices from 2005 to 2010? Round to the nearest tenth of a percent.
The percent increase in the median monthly rent prices from 2005 to 2010, using proportions, was of:
16.7%.
What is a proportion?A proportion represents a fraction relative to a total amount, and this fraction is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of a problem.
One application of proportions is to obtain the percent increase in the context of a problem, as it is calculated as the division of the increase by the total amount and multiplied by 100%.
The parameters to obtain the percent increase in the context of this problem are given as follows:
Initial amount: $694.Increase: 810 - 694 = $116.Hence the percent increase in the median monthly rent prices from 2005 to 2010 is calculated as follows:
P = 116/694 x 100% = 16.7%.
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Sandra can knit 36 rows on a scarf in 18 minutes. How many rows can she knit in 25 minutes?
This calls for applying rates:
18 minutes = 36 rows
1 minute = 36/18 = 2 rows
25 minutes = 2 x 25 = 50 rows
The answer is 50 rows in 25 minutes. I hope this helps!
A square has a side length of 4x+1
What is the perimeter of the square and area of the square?
I’ll give points + brainalist
Answer:
16x+4
Step-by-step explanation:
Perimeter= side+side+side+side or 4(side)
Plug in side length
Perimeter= 4(4x+1)
Perimeter=16x+4
It can't be further simplified
y= -x+8
y= 2x+5
solve the following systems..
Answer:
x = 1
y = 7
Step-by-step explanation:
y = -x + 8
-y= -2x - 5 (Switch the signs of y = 2x + 5)
0= - 3x + 3 (Subtract both equations)
3x = 3 (Add 3x on both sides)
x = 1 (Divide by 3 on both sides)
y = -1 + 8 (Plug x as 1 in the equation y = -x + 8)
y = 7 (Simplify)
Leading to the answer
x = 1
y = 7
Can anyone solve this
Answer:
Step-by-step explanation:
y= 53/3 prob wrong but idek
Solve.
1) Jake bought a bicycle that cost $65.00 when it was new...
If he eventually sold it for 20% of the original cost, how
much was it sold for?
Answer:
Jake sold the bicycle for $13.00
Step-by-step explanation:
All you have to do is know the equation would be 20% of $65.00.
That equals 65x0.20.
If you solve it, the answer is $13.00
Jake sold the bicycle for $13.00
Hope this helps!
Answer:
its 13 dollars
Step-by-step explanation:
when you have to find a precent of something you multiply the number by the percentage and divide the answer by 100
Solve for b.
b - 14 = -10
Answer:
b=4
Step-by-step explanation:
b-14 =-10
b-14+14=-10+14
b=4
raise u to the 10th power, then double the result
u raised to the 10th power, then the result doubled gives 2u¹⁰
How to write an algebraic expression?An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, multiplication, exponent, etc.
Given: raise u to the 10th power, then double the result
Step 1: Raising u to the 10th power implies: u¹⁰
Step 2: Doubling the result means multiplying what you obtained in step 1 by 2, that is, 2 × u¹⁰ = 2u¹⁰
Therefore, raising u to the 10th power and then doubling the result gives 2u¹⁰
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Evaluate. [(1 1/5−2/5)⋅(−3/4)3]÷(−9) What is the value of the expression? Enter your answer as a simplified fraction in the box. NEED ANSWER NOW PLEASE!!!!!!!!!!!!!!!
Answer:9/20
Step-by-step explanation:
11/5-2/5=9/5
-3/4*3= 9/4
9*-9=-81
5*4=20
-81/20 /-9
9/20
a\b − c+d if a=7\8 , b=−7\16 , c=0.8 , and d=1\4
By solving the equation a\b − c +d, we get the answer -2.55
Given,
In the question:
The equation is given as:
a\b − c + d
The values are given as:
a=7\8 , b=−7\16 , c=0.8 , and d=1\4
Now, According to the question:
Substitute the values a=7\8 , b=−7\16 , c=0.8 , and d=1\4 into a\b − c + d.
Now,
[tex]\frac{7}{8}[/tex] × [tex]\frac{16}{-7}[/tex] - 0.8 + 1/4
Cross out the common factor:
= -2 - 0.8 + 1/4
Taking L.C.M
= [tex]\frac{-8-3.2+1}{4}[/tex]
Calculate the sum or difference:
= -10.2/4
= - 2.55
Hence, By solving the equation a\b − c +d, we get the answer -2.55
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what would the correct number line be for this compound inequality? 3x - 5 > or -2x _< -10
The correct number line that shows the solution to the compound inequality is given by:
Number Line A.
What is a compound inequality?A compound inequality is an inequality that is composed by multiple conditions.
Then these conditions are related with one of two operations, listed as follows:
and operation: the values need to respect all the conditions of the compound inequality.or operation: the values need to respect at least one of the conditions of the compound inequality.In this problem, the compound inequality is given as follows:
3x - 5 > 1 or -2x ≤ -10.
The solutions to the first condition are given as follows:
3x > 6
x > 2.
The solutions to the second condition are given as follows:
2x ≥ 10
x ≥ 5.
The interval of values that is the union of these solutions is given by:
x > 2.
Hence number line A is the solution to the inequality.
Missing InformationThe complete problem is given by the image shown at the end of the answer.
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In Aurora’s candy box, of the candies are strawberry flavored and are chocolate flavored.
What is the fraction of strawberry and chocolate flavored candies that Aurora has in her box?
The fraction of strawberry and chocolate flavored candies that Aurora has in her box is 5/4
How to calculate the fraction?From the information illustrated, 30 of the candies are strawberry flavored and 24 are chocolate flavored.
Therefore, to get the fraction, we have to divide them. This will be illustrated as:
= Number of strawberry candies / Number of chocolate candies
= 30 / 24
= 5/4
The fraction is 5/4.
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Complete question
In Aurora’s candy box, 30 of the candies are strawberry flavored and 24 are chocolate flavored. What is the fraction of strawberry and chocolate flavored candies that Aurora has in her box?
The cost in dollars of making x items is given by the function C(x)=10x+900 .
a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.
Fixed cost =$
b. What is the cost of making 25 items?
C(25)=$
c. Suppose the maximum cost allowed is $1900 . What are the domain and range of the cost function, C(x) ?
Domain:
Range:
Step-by-step explanation:
when we give a function an actual value as argument, we are using the variable(s) in the functional definition as intended : as placeholders for actual values.
so, we only need to replace any occurrence of the variable by the actual value and calculate.
a.
zero items are produced means x = 0.
C(0) = 10×0 + 900 = $900
fixed cost = $900
b.
making 25 items means x = 25.
C(25) = 10×25 + 900 = 250 + 900 = $1,150
c.
the domain is the interval or set of all valid values for x.
the range is the interval or set of all valid values for y (the functional result).
now, the maximum cost allowed is $1900.
how many items are that ?
1900 = 10x + 900
1000 = 10x
x = 100
so, the domain is
0 <= x <= 100
the range is
$900 <= y <= $1900
6 eggs in 7 months Remember to write your answer with the unit rate per something. Round to the hundredths place if necessary. PLS HELP
The unit rate which correctly corresponds to.the given rate; 6 eggs in 7 months is; 0.86 eggs per month.
What is a unit rate?A unit rate as the name implies is one in which case a given quantity is expressed in terms of one unit of the other quantity.
Such units are expressed as; a per b.
On this note, since the given rate is; 6 eggs in 7 months.
It follows that the rate can be expressed as;
6 eggs / 7 months
= 6/7 eggs per month.
= 0.85714 eggs per month.
And ultimately, when rounded to the nearest hundredth; we have; 0.86 eggs per month.
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When the inequality. y> x + 1 is graphed, the shade is below the line and the line is dashed.
False
True
فے
The inequality y > x+1 graphed is false.
Given,
In the question:
When the inequality y > x +1 is graphed,
The shade is below the line and the line is dashed.
Check the above information is true or false.
Now, According to the question:
The inequality is given as:
y > x +1
The graph is:
∴The shade is below the line and the line is dashed
The answer is false.
Hence, The inequality y > x+1 graphed is false.
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Pleas help congruent, triangles, and classifying and solving for sides/angels
8. The value of x is 9.
9. The value of x is 6.
What are congruent triangles?Two triangles are congruent if all the corresponding sides and corresponding angle are equal.
8.
In the given triangle ∠A=(3x-4)°, ∠B=(13x+2)° and ∠C=(5x-7)°
The sum of all three angles of a triangle is 180°,
Implies that,
∠A+∠B+∠C=180°
3x-4+13x+2+5x-7=180
21x-9=180
21x=189
x=9
9.
In the given triangle, ∠A=(7x+1)°, ∠B=(19x-18)° and ∠C=(10x-9)°
The sum of all three angles of a triangle is 180°,
Implies that,
∠A+∠B+∠C=180°
7x+1+19x-18+10x-9=180
36x-26=180
36x=216
x=6
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(x³ + 2x² - 8x+6) ÷ (x² +9)
Answer:
this should help
Step-by-step explanation:
it is step by step on screenshots I have above
Need answers for these questions.
The future value of $8904.56 compounded semi annually is $13,468.95 The interest earned is approximately $4,564.39
The future value of $8904.56 compounded continuously is $66,185.90.
The interest earned is approximately $57,281.34.
What are the future values and the interests?When an investment is compounded semi annually, it means that both the amount that was invested and the interest that has already been earned increases in value twice in a year.
The formula for calculating future value:
FV = P (1 + r)^nm
Where:
FV = Future value P = Present value R = semi annual interest rate = annual interest rate / number of compounding = 6% / 2 = 3%m = number of compoundingN = number of yearsFV = 8904.56 x 1.03^(7 x 2) = $13,468.95
Interest = future value - amount invested
$13,468.95 - $8904.56 = $4,564.39
When an amount is compounded continusoly, it increases in value infinitely over the investment time horizon.
The formula for calculating future value when there is continuous compounding is : A x e^r x N
Where:
A= amount e = 2.7182818 N = number of years r = interest rateFV = 8904.56 x e^0.06 x 7 = $66,185.90
Interest = future value - amount invested
$66,185.90 - 8904.56 = $57,281.34
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The vaule of 5-a is 20 greather than the vaule of 6a-1
The value of a when the value of 5-a is 20 greater than the vaule of 6a-1 is -2.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Since the value of 5-a is 20 greater than the vaule of 6a-1. This will be:
5 - a > 6a - 1 + 20
Collect like terms
-a - 6a > - 1 + 20 - 5
-7a > 14
Divide
a > 14 / -7
a > -2
Therefore, a is greater than -2.
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Someone please help…
Answer:
(x-5),(y+2)
Step-by-step explanation:
A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 25 pounds each, and the small boxes weigh 50 pounds each. There are 105 boxes in all. If the truck is carrying a total of 3, 875 pounds in boxes, how many of each type of box is it carrying?
Choose one:
Number of large boxes: 5
Number of small boxes: 10
Number of large boxes: 50
Number of small boxes: 55
Number of large boxes: 38
Number of small boxes: 75
Number of large boxes: 55
Number of small boxes: 50
Answer:
There are 105 boxes in all. If the truck is carrying a total of 3, 875 pounds in boxes, how many of each type of box is it carrying?
50 large boxes
55 small boxes
The exponential model A=302.5e^0.0211 describes the population, A, of a country in millions, t years after 2003. Use the model to determine the population of the country in 2003.
The population of the country in 2003 is 302.5 million
How to determine the population of the country in 2003.From the question, we have the following parameters that can be used in our computation:
Exponential model, A = 302.5e^0.0211t
Where i is the number of years after 2003
In the year 2003, the value of t is 0
i.e. 0 years after 2003
So, we have
A = 302.5e^(0.0211 * 0)
Evaluate the products
A = 302.5 * 1
So, we have the following result
A = 302.5
Hence, the population is 302.5 million
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4a² + 4ab-3b² = (2a+3b)(_)
Complete the factoring
Answer:
(2a + 3b)(2a - b)
Step-by-step explanation:
4a² + 4ab - 3b²
consider the factors of the product of the coefficient of a² and b² which sum to give the coefficient of the ab- term.
product = 4 × - 3 = - 12 and sum = 4
the factors are + 6 and - 2
use these factors to split the ab- term
= 4a² + 6ab - 2ab - 3b² ( factor the first/second and third/fourth terms )
= 2a(2a + 3b) - b(2a + 3b) ← factor out (2a + 3b) from each term
= (2a + 3b)(2a - b)
The annual fundraising goal of a is $100,000. So far $46,088 has been raised. How much more money is needed to reach the goal? What???
If annual fundraising goal of a is $100,000 and so far $46,088 has been raised, then they have to raise $53912 to reach the goal
The goal of the annual fund raising = $100000
The raised amount = $46088
The amount of money needed to reach the goal = The goal of the annual fund raising - The raised amount
Here we have to use the subtraction
Substitute the values in the equation
The amount of money needed to reach the goal = 100000 - 46088
= $53912
Hence, if annual fundraising goal of a is $100,000 and so far $46,088 has been raised, then they have to raise $53912 to reach the goal
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Please help I was sick and missed out on class.Thank you
==========================================
Explanation:
Both points have the same x coordinate, which immediately tells us both points are on the same vertical line.
All vertical lines have an undefined slope. This is because when it comes to rise/run, the "run" is zero. Dividing by zero is not allowed.
Check out the steps below.
[tex](x_1,y_1) = (-10,9) \text{ and } (x_2,y_2) = (-10,18)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{18 - 9}{-10 - (-10)}\\\\m = \frac{18 - 9}{-10 + 10}\\\\m = \frac{9}{0}\\\\m = \text{UND}\\\\[/tex]
The "UND" is shorthand for "undefined". Some textbooks may use the notation "NaN" to refer to "not a number".
solve for x in the simplest form
Answer:
x= 12/5
Step-by-step explanation:
Distribute the fraction and solve for x.
bala had 240 cards and tom had 780 cards. after tom gave some cards to bala, bala had twice as many cards as tom. how many cards did tom give to bala?
The answer is tom will give 440 cards to Bala, using arithmetic operation.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
The total number of cards is 780+240 = 1020.
If in the end Bala will have twice as many cards as Tom then I would divide the 1020 by 3 which equals 340.
So Bala will have 2*340 = 680 cards
Tom will have 340 cards.
Now Bala will need (680-240) = 440 more cards.
Hence Tom will give 440 cards to Bala.
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Based on the graph, how many distinct real number
solutions does the equation x³ + 6x² + 12x +8=0
have?
O no real number solutions
O one real number solution
O two real number solutions
O three real number solutions
Because the graph only intercepts the x-axis only once, the equation has only one solution. The correct option is the second one.
How many solutions the equation has?Here we want to see, based on a graph, how many solutions does the cubic equation:
x³ + 6x² + 12x +8 = 0
The graph of the function:
g(x) = x³ + 6x² + 12x +8
Can be seen below, the number of real solutions that the equation:
x³ + 6x² + 12x +8 = 0
has, will depend on how many times the graph intercepts the x-axis.
We can see that there is only one intercept, so there is one real solution.
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