Based on the balance at the start of May and the purchases and payments made by Ruth, the balance at the beginning of April was b. $797.22.
What was the beginning balance in April?First find the monthly rate:
= 10.91% / 12
= 0.909%
The beginning balance is x:
May balance = (Beginning balance x (1 + monthy rate) + Purchases - Payments
847.64 = x × 1.00909 + 88.34 - 45.17
1.00909x = 847.64 - 88.34 + 45.17
x = $797.22
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Answer:
B on edge
Step-by-step explanation:
Find the equation of the line shown
Answer: y = 1/2x + 1/2
please help with this
Answer:
F = 53.1°
Step-by-step explanation:
When you consider F as your angle
cos F = adjacent / hypotaneous
or, cos F = EF/DF
We do not have DF right now,
so DF² = DE² + EF²
DF = √ (12² + 9²)
DF = 15
cos F = adjacent / hypotaneous
or, cos F = EF/DF
cos F = 9 / 15
F = cos ⁻¹ (9/15)
F = 53.1°
ixl a game company sold 292 games 290 of the games were board games and the rest were card games what is the ratio of the number of card games to the total number of games
Answer:
2:292
Step-by-step explanation:
They sold 292 in total
290 were board games and the rest were cards
so,
292-290=2
2 card games
Answer: 2:292
Step-by-step explanation:
They sold 292 in total
290 were board games and the rest were cards
so,
292-290=2
2 card games
The sum of two numbers is 40 and the difference is 8. What are the numbers?
Answer:
24 and 16.
Step-by-step explanation:
They both are in between the sum of the two numbers.
GIVING BRAINLIEST!!!!!
Answer:
option 1, 2
Step-by-step explanation:
since R is between Q and S
____________________
Q (3x+6) R (5x-2) S
--------------(12x - 4)-------------
Q S
so
QR + RS = QS
[tex](3x+6) + (5x - 2) = 12x - 4\\(3x + 5x) + (6 - 2) = 12x - 4\\(8x) + (4) = 12x - 4\\8x + 4 - 4 = 12x - 4 -4\\8x = 12x - 8\\8x - 12x = 12x - 12x - 8\\-4x = -8\\\frac{-4x}{-4} = \frac{-8}{-4}[/tex]
Answer:
2
Step-by-step explanation:
It mentions R is between points Q and S.
Hence, QR + RS = QS.
3x + 6 + 5x - 2 = 12x - 48x + 4 = 12x - 412x - 8x = 4 + 44x = 8x = 22
3 D
5
6
8
9
10
x²-4
Which shows all the critical points for the inequality ²-5x+6
<<0?
O x=-2 and x = 2
Ox= 2 and x = 3
Ox=-3, x = -2, and x = 2
O x= -2, x = 2, and x = 3
The critical points for the inequality x²-5x+6 is x= 2 and x = 3.
What is critical point?In calculus, a critical point of a function is a point where the derivative of the function is either zero or undefined.
These points are important in determining the maximum and minimum values of a function, and can also help identify points of inflection and other important features of a curve.
To find the critical points for the inequality x²-5x+6, we need to find the values of x that make the expression equal to zero (i.e., the roots of the quadratic equation).
We can factor the expression as (x-2)(x-3) and set each factor to zero to find the critical points:
x-2 = 0 or x-3 = 0
x = 2 or x = 3
So the critical points are x = 2 and x = 3.
Therefore, the answer is x= 2 and x = 3.
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Select the equation of the line in slope-intercept form: 4x + 9y = 36
Answer:
y= -4x/9+4
Step-by-step explanation:
4x+9y=36 (move 4x)
9y=-4x+36 (divide by 9)
y= -4/9x+36/9
y= -4x/9+4
You are in business and have a product that sells for $10 that 1,000 people buy each month You want to make a profit and wonder whether you should raise the price in increments of a dollar For each dollar you raise the price , you lose 100 customersHow many dollars can you increase in price to maximize your profit or should you increase in price at all?
Based on the attached photo and explanation below, the price should not be increased at all.
How to know when profit is maximized?Note: See the attached photo for the calculation of Revenues at Different Number of Customers and Prices.
Every other being equal, profit is maximized when revenue is at the maximum,
From the attached photo, it can be seen that revenue is at the maximum or the highest when the price is $10 and the number of customers is 1,000.
Increasing the price in increments of a dollar results in a fall in revenue progressively until it reaches $0.
Therefore, the price should not be increased at all.
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i really need help on this. can you please solve
Answer:
371/999
Step-by-step explanation:
all repeating numbers like that just go over nines. Two repeating? Over 99. Four repeating? Over 9,999
I need the the number
y=3x+3
Step-by-step explanation:
The m is 3 because it is rise over run. For every 3 up it goes one over (3/1) or just 3. The b is 3 because b is where x equals 0 and it is at 3.
What are the domain and range of f (x) = log (x minus 1) + 2?
domain: x > 1; range: y > 2
domain: x > 1; range: all real numbers
domain: all real numbers; range: y > 1
domain: all real numbers; range: all real numbers
Answer:
domain: x > 1; range: all real numbers
Step-by-step explanation:
Given function: [tex]f(x)=\log(x-1)+2[/tex]
Logarithms are not defined for zero or negative numbers.
[tex]\implies (x-1) > 0 \implies x > 1[/tex]
Therefore:
domain (input values): [tex]x > 1[/tex]range (output values): all real numbersAnswer:
B on edge
Step-by-step explanation:
Just took the test :)
Explain how you would graph the inequality, "b ≤ 0
Answer:
the inequality, b ≤ 0 has interval Notation of -∞,0
Step-by-step explanation:
the inequality, b ≤ 0 has interval Notation of -∞,0
PLEASe help math ...
Answer:
21.6 units² (nearest tenth)
Step-by-step explanation:
[tex]\textsf{Area of a trapezoid}=\dfrac{1}{2}(a+b)h \quad \textsf{(where a and b are the bases and h is the height)}[/tex][tex]\textsf{Area of a semicircle}=\dfrac12 \pi r^2 \quad \textsf{(where r is the radius)}[/tex]
Given:
a = 2b = 8h = 4r = 2 ÷ 2 = 1[tex]\begin{aligned}\textsf{Area of figure} & =\textsf{area of trapezoid + area of semicircle}\\& = \dfrac{1}{2}(a+b)h+\dfrac{1}{2} \pi r^2\\& = \dfrac{1}{2}(2+8)(4)+\dfrac{1}{2} \pi (1)^2\\& = 20+\dfrac{1}{2} \pi\\& = 21.6\: \sf units^2 \:(nearest\:tenth)\end{aligned}[/tex]
Area of the trapezium
1/2(Sum of parallel sides)×Height1/2(2+8)(4)2(10)20units²Area of semicircle
π(2/2)²/2π/21.57units²Total area
20+1.5721.6units²(Rounded)what is the solution of 9 (x-8) = 3 (4x-12)
() = Exponents The things in perenthacys are exponents
Solving as exponents
[tex]\\ \rm\Rrightarrow 9^{(x-8)}=3^{(4x-12)}[/tex]
[tex]\\ \rm\Rrightarrow 3^{2(x-8)}=3^{2(x-6)}[/tex]
[tex]\\ \rm\Rrightarrow 2(x-8)=2(x-6)[/tex]
[tex]\\ \rm\Rrightarrow 2x-16=4x-12[/tex]
[tex]\\ \rm\Rrightarrow -2x=4[/tex]
[tex]\\ \rm\Rrightarrow x=-2[/tex]
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
Given equation:
[tex]9^{x-8}=3^{4x-12}[/tex]
Rewrite 9 as 3²:
[tex]\implies (3^2)^{x-8}=3^{4x-12}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 3^{2(x-8)}=3^{4x-12}[/tex]
[tex]\implies 3^{2x-16}=3^{4x-12}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]
[tex]\implies 2x-16=4x-12[/tex]
Subtract 2x from both sides:
[tex]\implies 2x-16-2x=4x-12-2x[/tex]
[tex]\implies -16=2x-12[/tex]
Add 12 to both sides:
[tex]\implies -16+12=2x-12+12[/tex]
[tex]\implies -4=2x[/tex]
Divide both sides by 2:
[tex]\implies \dfrac{-4}{2}=\dfrac{2x}{2}[/tex]
[tex]\implies x=-2[/tex]
A. Determine the length of Seneca between Mesa and La Paz Dr.
Round your answers to the nearest foot. Show all your work and explain each step of your solution.
B. Determine whether the driver on Seneca Street was traveling within the speed limit.
Round your answers to the nearest foot. Show all your work and explain each step of your solution.
C. Determine the maximum length of the skid marks left on Seneca Street by a car that travels within the speed limit.
Round your answers to the nearest foot. Show all your work and explain each step of your solution.
SHOW YOUR WORK!
The length of Seneca between Mesa and La Paz Dr is = 144ft.
The driver of the Seneca Street was driving at 0.75 mi/hr therefore he was with the speed limits.
The maximum length of the skid marks left of Seneca Street by a car that travels within the speed limit is = 144ft
Calculation of car speed limitsTo determine the length of Seneca, the various lengths of Mesa and La Paz Dr is used;Length of Mesa (a)= 308ft
Length of La Paz Dr (c)= 340ft
Length of Seneca =b
Using Pythagorean theorem,
c²= a² + b²
340²= 308² + b²
make b the subject formula,
b² = 340² - 308²
b² = 115,600 - 94,864
b²= 20736
b = √20736
b = 144ft.
To determine the if the driver at Seneca Street was driving at speed limit;The speed limit within the Seneca road(s) = 50mi/h
The coefficient of friction (f) based on the surface material = 0.7 (asphalt).
The distance covered by the car = 144ft to miles = 144/5280 = 0.027.
Therefore the speed of car(s)
=√30fd
= √30 × 0.7× 0.027
= √0.567
=0.75 mi/hr
To determine the maximum length of the skid marks left of Seneca Street by a car that travels within the speed limit is the same with the length of Seneca. which is = 144ft.Learn more about speed here:
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A guest was on holiday before going to the wedding at 6 o’ clock. He had to travel 120km to get to the venue. He travelled at an average of 100km/h . Verify if He will reach the dance on time if he leaves at 16:40
He will reach the dance before time if he leaves at 16:40.
What is speed- distance formula?The formula for speed is speed = distance ÷ time.
To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Given distance= 120 Km, speed= 100 km/h
For this speed,
time= distance/ speed
= 120/100
= 1.2 hours
If the guest leave at 4:40 p.m. then by the speed of 100 km/h he will reach the venue at 06:00 p.m.
Hence, he will reach before the time at wedding.
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Nico is planting grass in his backyard. He is using 1 foot grass squares and has to cover an area that is 24 feet long and 20 feet wide.
How many 1 foot squares does Nico need?
pls help! Ill give brainly if possible! :)
The number of the grass squares of 1 square foot will be 480.
What is the area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called as the area of the rectangle.
The total area covered by the grass will be:-
A = L x W
A = 24 x 20 = 480 square feet
Number of the grass squares having an area of 1 square foot:-
N = Total area / area of one grass square
N = 480 square feet / 1 square feet
N = 480
Therefore the number of the grass squares of 1 square foot will be 480.
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Envision Geometry 10-1 Circles 22. page 425
The segment area of the circle that's given in the envision geometry is 2.568.
How to calculate the segment area?It should be noted that the segment area is given as:
= (a/360)π × R² - Area of triangle
= (90/360)π × 3² - (1/2 × 3²)
= 9π/4 - 9/2
= 2.568
In conclusion, the segment area of the circle that's given in the envision geometry is 2.568.
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Find the slope of the line through
the points (1, 4) and (7, 1).
A
1
2
B
-2
1
2
D
2.
Which is equivalent to cos-1(0)? give your answer in radians.
If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians
Inverse of trigonometry functionInverse of a function are the opposite of the function. Given the inverse of cosine function as shown:
[tex]cos^{-1}x[/tex]
If x = 0, hence;
[tex]cos^{-1}{0[/tex]
If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians
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Given the function graphed below, find the average rate of change over the
interval x= 2 to x = 4. I’ve been stuck on this question for a little bit . Can’t seem to wrap my head around it
Answer:
Approximately 0.3.
Step-by-step explanation:
I can only estimate the value of the function when x = 2. it looks like it's about 2.4.
Average rate of change = [(f4) - f(2)] / (4 - 2)
= (3 - 2.4) / 2
= 0.6/2
= 0.3.
Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number. Write this information as an equation in x. Solve your equation to find the value of x.
Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number. The number which he is thinking is 7.5.
What is equation?Two or more expressions with an equal sign is called as Equation.
Given that Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number.
Let the number which Dexter is thinking be x.
Two more than three times his number.
It means value two is added to the product of 3 and the number which he is thinking x.
3x+2
thirteen less than five times his number
It means value thirteen is subtracted from the product of 5 and the number which he is thinking x.
5x-13.
It is given Two more than three times his number is the same value as thirteen less than five times his number
3x+2=5x-13
Take the like terms to one side
13+2=5x-3x
15=2x
Divide both sides by 2.
x=7.5
Hence the value of x is 7.5.
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help pleasee!!?? Thank u
Answer: 9,156.24 ft³
Step-by-step explanation:
The formula for the volume of a cylinder is V = πr²h. The problem gives us both the radius and the height, so we have all necessary values to solve by substitution:
r = 9
h = 36
V = π(9)²×36
= 81 × 36 × π
= 2916π
= 9,156.24 ft³
Someone help me.............asap
Answer:
11 h
Step-by-step explanation:
1/2 h
11h 1/2 will be need for a bike
What is the Surface area of a rectangle with a length of 3 width of 2 and a height of 12
Aaron flips a coin three times, what is the correct sample space (all possible outcomes)?
H or T
HHH, HHT, HTH, THH, TTH, THT, HTT, TTT
HT, HT, HT
HHH
HHH, HHT, HTH, THH, TTH, THT, HTT, TTT
That is representative of all possible outcomes from flipping the coin
How to do 2/5 = (x-3)/(7x+15)
Answer:
[tex]x = - 5 [/tex]
Step-by-step explanation:
To work out this question you have to first cross multiply.
[tex] \frac{2}{5} = \frac{(x - 3)} {(7x + 15)} \\ \\ 2(7x + 15) = 5(x - 3)[/tex]
When you cross multiply you will get the equation above. Therefore
[tex](2 \times 7x) + (2 \times 15) = (5 \times x) \\ - (5 \times 3) \\ \\ 14x + 30 = 5x - 15 \\ \\ 14x - 5x = - 30 - 15 \\ \\ 9x = - 45[/tex]
Therefore
[tex] \frac{9}{9} x = \frac{ - 45}{9} \\ \\ x = - 5[/tex]
Answer:
x = -5
Step by step:
multiply both side by 7x + 15.
2/5 (7x+15)= x − 3
Simplify 2)5 (7x+15) to 2(7x+15)/5.
2(7x+15)/5= x - 3
multiply both sides by 5.
2(7x+15)= 5x - 15
Expand.
14x+30= 5x - 15
subtract 5x from both sides.
14x+30−5x= − 15
Simplify 14x + 30 - 5x14x + 30−5x to 9x + 309x + 30.
9x+30= - 15
Subtract 30 from both sides.
simplify
x = -5
i'll give brainliest and points to whomever answers these two questions, thank you so much in advance!
Q8- what's the S.S of the inequality: x² + 4 > 2
a) R
b) ∅
c) R-
d) R+
Q9- if x + yi = (1 + i)⁴ , then x + y = ......
a) 4
b) - 4
c) 2
d) - 2
an explanation for future reference would be GREATLY appreciated, thank you again T^T
Answer:
8 Answer is a) R
9 Answer is b) -4
Step-by-step explanation:
Answer of your Question bro and good evening and please mark me as brainliest and thank u
Find the value of x.
Answer:
Step-by-step explanation:
Comment
The general formula for a tangent and secant is
tangent^2 = external segment * full length of the secant.
Givens
tangent length = x
external segment = 7
secant length = 7+ 21
Formula
x^2 = 7 * (7 + 21) Remove brackets
x^2 = 7 * 28 Combine
x^2 = 196 Take the square root of both sides
√x^2 = √196
x = 14
Answer: x = 14
Factor fully. Show all work.
a) 27m²−3
b) 10x³+5x²−50xy−25y
Answer:
A=
[tex]3(3m + 1)(3m - 1)[/tex]
Step-by-step explanation:
[tex] {27m}^{2} - 3[/tex]
Factorise
[tex]3( {9m}^{2} - 1)[/tex]
Rewrite it
[tex]3(( {3m)}^{2} - {1}^{2} )[/tex]
[tex]3(3m + 1)(3m - 1)[/tex]