Answer:
The total charges for the two checking accounts will be the same after 6 checks written.
Step-by-step explanation:
Since I want to open a checking account at my local bank which offers two options, a standard checking account that charges $ 6 each month plus $ 0.25 for each check written, and a select checking account that charges $ 4.50 each month plus $ 0.50 for each check written, to determine which system of equations can be used to determine the number X of checks that must be written in a month in order for the total charges Y for the two checking accounts to be the same, the following calculation must be performed:
6 + 0.25X = Y
4.5 + 0.5X = Y
6 + 0.25x5 = Y
4.5 + 0.5x5 = Y
6 + 1.25 = Y = 7.25
4.5 + 2.50 = 7
6 + 0.25x6 = Y
4.5 + 0.5x6 = Y
6 + 1.50 = Y = 7.50
4.5 + 3 = 7.50
Therefore, the total charges for the two checking accounts will be the same after 6 checks written.
What is the length of the third side?
Answer:
√115
Step-by-step explanation:
14²= 9² + x²
x= √14²-9² = √115
Step-by-step explanation:
using Pythagores theorem
h²=p²+b²
14²=p²+9²
p²=196-81
p=√115
p=10.72
stay safe healthy and happy...which percent is represented in the shaded area? plz help me!
Answer:
Hello! answer: 44%
Hope that helps!
Find total squares:
5 x 5 = 25
Find total shaded squares: 11
Percentage = total shaded/ total squares x 100
Percentage = 11/25 x 100 = 44%
ordered pairs does not represent a function?
{(5,−2),(−6,−4),(−2,3),(−1,−4)}
\{(-3, 4), (-8, 0), (3, -8), (-3, -4)\}{(−3,4),(−8,0),(3,−8),(−3,−4)}
\{(6, 3), (-1, 5), (-7, 3), (3, 0)\}{(6,3),(−1,5),(−7,3),(3,0)}
\{(3, 9), (2, 7), (9, 9), (4, -3)\}{(3,9),(2,7),(9,9),(4,−3)}
Answer:
1. \{(-3, 4), (-8, 0), (3, -8), (-3, -4)\}{(−3,4),(−8,0),(3,−8),(−3,−4)}
Step-by-step explanation:
The x values are repeating
What is the volume of this solid figure made with cubes?
5 cubic units
O
15 cubic units
0
20 cubic units
O 23 cubic units
Quick answerrrr
Answer: 5
Step-by-step explanation:
hope this help get a A
Grandma decides to pay for her new granddaughter's education. She gives
her one penny on her first birthday, and doubles the gift every year. Round
to the nearest hundredth. Do not use a dollar sign, numerical values only.
What will be the total of all the gifts on the girl's 18th birthday?
Answer:
Around 0.40
Step-by-step explanation
If she doubles the gift every year, do 18x2=36, 36 rounds to 40 or 0.40.
The total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is evaluated as 2621.43 dollars
What is the sum of the terms of a geometric series till nth term?Lets suppose the geometric sequence has its initial term is [tex]a[/tex], multiplication factor is r, then, its sum is given as:
[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]
(sum till nth term)
The sequence would look like [tex]a, ar, \cdots, ar^{n-1},\cdots[/tex]
For this case, we are specified that:
Grandma gives 1 penny on first birthday of her granddaughterGrandma increases the gift by doubling the previous birthday gift.That shows that the gift amounts each year will form a geometric sequence where a = 1, and r = 2 (as amounts are doubled).
The gift amounts would look like:
[tex]\\1, 2, 4, \cdots\\or\\1, 2\times 1, 2^2 \times 1, \cdots[/tex]
We have to find these terms' sum till 18th term(18th term is the gift of her 18th birthday).
Thus, we have: n = 18, a = 1, and r = 2.
The sum will be:
[tex]S_n = \dfrac{a(r^n-1)}{r-1} = \dfrac{1(2^{18}-1)}{2-1} = 2^{18} - 1 = 262143 \: \rm cents[/tex]
There are 100 cents in 1 dollars,
Thus, 1 cent = 0.01 dollars,
and thus, 262143 cents form 2621.43 dollars.
Thus, the total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is evaluated as 2621.43 dollars
Learn more about sum of terms of geometric sequence here:
https://brainly.com/question/1607203
HELPP ME PLSS the work is below
Answer:
peregrine falcon
Step-by-step explanation:
you convert the 61.6 feet to miles which is 0.01166667 miles. you multiply that by the seconds in an hour(3600)
so 0.01166667*3600 = 42 miles an hour 75>42
What is the least common multiple of 3, 10, and 15?
Answer:
30
Step-by-step explanation:
30/3 = 10
30/10 = 3
30/15 = 2
Hope this helps!
Which number line shows the solution of -3x + 6 > 12
Answer:
x < -2
Step-by-step explanation:
subtract 6 from each side
-3x > 6
divide both sides by -3
x < -2
(with inequalities you must flip the sign if you divide by a negative number)
PLEASE HELP MATH QUESTION 99 POINTS ASAP
Function A and Function B are linear functions. Compare the two functions and choose all that are correct.
Answer:
2 .The slope of Function A is less than the slope of Function B
A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)
The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)
_____
More detailed working
The slope of Function A can be figured easily between the points with x-values that differ by 1:
m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.
The slope of Function B is the coefficient of x in the equation: 3.
__
The y-intercept of Function A can be found starting with point-slope form:
y -22 = 2(x -9)
y = 2x -18 +22
y = 2x +4 . . . . . . . slope-intercept form
The intercept of +4 is the same as that of Function B.
Step-by-step explanation:
mrk me brainliest plz
Answer:
2 .The slope of Function A is less than the slope of Function B
A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)
The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)
_____
More detailed working
The slope of Function A can be figured easily between the points with x-values that differ by 1:
m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.
The slope of Function B is the coefficient of x in the equation: 3.
__
The y-intercept of Function A can be found starting with point-slope form:
y -22 = 2(x -9)
y = 2x -18 +22
y = 2x +4 . . . . . . . slope-intercept form
The intercept of +4 is the same as that of Function B.
Step-by-step explanation:
MARK ME BRAINLEIST PLZ PLZ PLZ
Can you pls find the surface area AND volume? ITS WORTH 50 points
Answer:
64
Step-by-step explanation:
Answer:
Solution given:
r=4in
h=4in
surface area=2πr(r+h)=2π*4(4+4)=64π or201.06ft²
Volume=πr²h=π*4²*4=64π or 201.06ft³
What is the greatest common factor of 12 and 20?
OA) 2
O B) 3
4
D) 6
Answer:
4
Step-by-step explanation:
You can divide both numbers by four and get an even answer
Answer:
4
Step-by-step explanation:
Brad is cutting logs. He has 4 logs. Brad will cut each log by 12
If Brad cuts each log by 12 he will have 48 pieces of cut logs. I hope this helps you, have a great day!
Answer:
48
Step-by-step explanation:
4x12=48
x2 + 7x + 3 = 0 Solve using the Quadratic Formula
Answer:
Step-by-step explan
Find the length of the leg x. Enter the exact value, not a decimal approximation.
HELP HELP HELP HELP
Answer:
its option C
Step-by-step explanation:
because ages 51-60 have around 30 more in years and since the 51-60 is half way in the collums it would be 5 so then its 35 more voters :)
Solve for x when sin(4x)=1/2
the most simple answere please
Answer:
x=7.5
Step-by-step explanation:
To cancel out the sin function we need to mulitplly it by sin⁻¹ (you can usually access this button if you press 2nd-->sin)
so sin⁻¹(.5)=30
30=4x
x=7.5
Which of the following properties is shown in the question below?
Answer:
C. Associative property of multiplication
Step-by-step explanation:
The associative property of multiplication states that the way in which factors are grouped in a multiplication problem does not change the product.
I need this please help me
ANSWERRRRRRRRRRRRRRRRRRRR PLZZZZZZZZZZZZZZzz
Answer:
-1/3
Step-by-step explanation:
Find two points on the line (0,2) and (3,1)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (1-2)/(3-0)
= -1/3
Answer:
A
Step-by-step explanation:
1) take two points of the line
A(0,2) ; B(3,1)
2) use this formula for find the slope
(y2-y1)/(x2-x1)
(1-2)/(3-0)
slope = -1/3
Find the domain of the rational function.
C(x) = x+9/X^2 -16
Answer:
Domain = {x : x ≠ 4 , -4} or (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)
Step-by-step explanation:
TO FIND :-
Domain of [tex]C(x) = \frac{x + 9}{x^2 - 16}[/tex]SOLUTION :-
Domain of a function is a value for which the function is valid.
The function [tex]C(x) = \frac{x + 9}{x^2 - 16}[/tex] is valid until the denominator is 0.
So make sure that the denominator must not be 0.
[tex]=> x^2 - 16 > 0[/tex]
Find the values of x for which the denominator becomes 0. To find it , you'll have to solve the above inequality.
Add 16 to both the sides[tex]=>x^2 - 16 + 16 > 0 + 16[/tex]
[tex]=> x^2 > 16[/tex]
[tex]=> x > \sqrt{16}[/tex]
[tex]=> \boxed{x > 4} \: or \:\boxed{x > -4}[/tex]
We can say that 4 & -4 can't be domains because these values will make the function undefined.
Now try putting values of x such that -4 < x < 4. You'll observe that the function will be valid for all those values of x between -4 & 4.
CONCLUSION :-
The function will be valid for any value of 'x' except 4 & -4. So in :-
Interval notation , it can be written as → (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)
Set builder notation , it can be written as → {x : x ≠ 4 , -4}
A Survey of 85 company employees shows that the mean length of the Christmas vacation was 4.5 days, with a standard deviation of 1.2 days. Construct a 95% confidence interval for the population's mean length of vacation. ( , ) Round your answer to two decimal digits Construct a 92% confidence interval for the population's mean length of vacation. ( , ) Round your answer to two decimal digits
Answer:
The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).
The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).
Step-by-step explanation:
We have the standard deviations for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 85 - 1 = 84
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 84 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.989.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.989\frac{1.2}{\sqrt{85}} = 0.26[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.26 = 4.24 days
The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.26 = 4.76 days
The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).
92% confidence interval:
Following the sample logic, the critical value is 1.772. So
[tex]M = T\frac{s}{\sqrt{n}} = 1.772\frac{1.2}{\sqrt{85}} = 0.23[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.23 = 4.27 days
The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.23 = 4.73 days
The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).
Comprehension Question
Answer the question correctly for 30 dollars.
Read the sentence from paragraph 2.
If we continue throwing plastic bags in the garbage, our landfills will become towering mountains of trash.
What does this sentence show?
.A. the author’s use of humor to change the tone of the passage
B. the author’s use of exaggeration to make a point about landfills
C. the author’s use of details to support his argument for paper bags
D. the author’s use of description to provide personal experience on the topic
Answer:
B.
Step-by-step explanation:
Our landfills will not actually become towering mountains of trash, that's just a hyperbole used by the author to show the destructive impact that trash in large quantities can have.
Fine the area of the regular figure
Answer:
139.5 mm
Step-by-step explanation:
The area of a geometric shape with all sides of equal length is:
A (1/2)nsr
n = the number of sides
s = the length of the sides
r = the length of the apothem
The apothem is the line going from the center point of the shape to the middle of one of the sides.
A = (1/2)(5)(9)(6.2)
A = (1/2)279
A = 139.5 mm
Find the length of the third side. If necessary, write in simplest radical form. 9 5
Step-by-step explanation:
[tex](9) {}^{2} = (5) {}^{2} + (x) {}^{2} \\ 81 = 25 + {x}^{2} \\ {x}^{2} = 56 \\ x = 2 \sqrt{14} = 7.4[/tex]
From a bag containing 6 white balls, 3 black balls and 13 red balls, two balls are drawn at random. What is the probability that they are both red without replacement?
a) 26/77
b) 9/10
c) 1/2
d)5/77
Answer:
Probability [Both ball red without replacement] = 26 / 77
Step-by-step explanation:
Given:
Number of white ball in beg = 6 balls
Number of black ball in beg = 3 balls
Number of red ball in beg = 13 balls
Find:
Probability [Both ball red without replacement]
Computation:
Probability of first red ball = Number of red ball in beg / [Total balls in beg]
Probability of first red ball = 13 / [6 + 3 + 13]
Probability of first red ball = 13 / 22
Probability of Second red ball = Number of remaining red ball in beg / [Total balls in beg without replacement]
Probability of Second red ball = [13 - 1] / [6 + 3 + 12]
Probability of Second red ball = 12 / 21
Probability [Both ball red without replacement] = [Probability of first red ball][Probability of Second red ball]
Probability [Both ball red without replacement] = [13/22][12/21]
Probability [Both ball red without replacement] = 26 / 77
what is the answer to 3(x-2)+15=-3(x-3)
i will give brainliest
Answer:
x = 0
Step-by-step explanation:
3(x - 2) + 15= -3(x - 3)
3x - 6 + 15 = -3x + 9
3x + 9 = -3x + 9
3x + 3x = 9 - 9
6x = 0
x = 0
f(n)=2n+1
g(n)=3n
Find f(n)+g(n)
Answer:
5n + 1
Step-by-step explanation:
f(n) + g(n) is just 2n + 1 + 3n , adding the two functions together!
Those expressions combine to 5n + 1 :)
Chris surveyed the sixth grade at his school and found that 20% of the students walk to school. If 60 students walk to school, then how many students are in the 6th grade?
[tex] \huge \mathfrak{ Answer : - }[/tex]
60 students walk to school, which is 20 % of the total students studying there,
so, let the the total number of students be " x "
now, we know
=》
[tex]20 \% \: \: of \: \: x = 60[/tex]
=》
[tex] \dfrac{20}{100} \times x = 60[/tex]
=》
[tex] \dfrac{1}{5} \times x = 60[/tex]
=》
[tex]x = 60 \times 5[/tex]
=》
[tex]x = 300[/tex]
hence, the total number of students :
x = 300
Answer:
simple answer 300
Step-by-step explanation:
20%=60 students. 100%/20%=5. 60*5=300 students
Please answer as soon as possible. Answers appreciated.
Answer:[tex](-1.412,-2.124),(3.29,7.28)[/tex]
Step-by-step explanation:
Given
The given equation is [tex]2^x-2.5=2x+0.7[/tex]
There are two functions i.e. [tex]y=2^x-2.5\ \text{and}\ y=2x+0.7[/tex]
Their intersection gives the solution of the above function
From the graph, we can see that both the graph intersects at two different points i.e. at
[tex](-1.412,-2.124)\ \text{and}\ (3.29,7.28)[/tex]
Which expression means the same as "the quotient of 8 less than x and 4"?
Answer:
(x - 8) -4
Step-by-step explanation:
