The pay at each bank for the given month is $56.5 to Bank A and $47.5 to Bank B.
How to solve statement based questions ?For the statement based question first of all try to find out that what is given in the statement and what we have to find out. Now, try to form the statements in the mathematical notation and then solve the equations by performing certain mathematical and algebra operations according to need.
In the question statement,
It is given that total number of transactions are 35 in a given month and pay for 2 banks are given to us. we need to calculate the total payout of transactions for both the banks.
Bank A charge $25 monthly fee on a checking the accounts, plus
$ 0.90 for each transaction.
As Charmaine makes 35 transactions.
Total charges of bank A= $25 + (0.9)35
Total charges of bank A= $25+31.5 = $56.5
Also,
Bank B charge $30 monthly fee on a checking the accounts, plus
$ 0.50 for the each transaction.
Total charges of bank B= $30 + (0.5)35
Total charges of bank B= $30+17.5
Total charges of bank B= $47.5
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The complete question is :
Charmaine is comparing offers from two banks on checking accounts that include debit cards. Bank A charges a $25 monthly fee for a checking account and debit card, plus$0.90 for each transaction. And a Bank B charges a $30 monthly fee for a checking account and debit card, plus $0.50 for each transaction. Suppose Charmaine makes 35 transactions in a given month.
How much would he pay at each bank for the given month?
Bank A
Bank B
What would this question look like after we change the mixed numbers to improper & use KCF to rewrite the question?
2 2/5 divided by 1 3/4 =
A) 12/5 x 4/7
B) 12/5 x 7/4
C) 2/5 x 4/3
D) 2 x 3/4
Answer:
B)12/5x7/4
Step-by-step explanation:
Please Branliest
solve the quadratic equation 3x^2 - 9x + 1 = 0 Give answer to 3 significant figures
Answer:
Either, (9+√69)/6 or (9-√69)/6
Step wise:
3x²-9x+1=0-------------------(i)
comparing equation onw with (ax²+bx+c=0), we get,
a=3, b=-9, c=1
now,
using Quadratic Formula,
(-b±√b²-4ac)/2a=x
{-(-9)±√(-9)²-4.3.1}/2.3=x
(9±√81-12)/6=x
(9±√69)/6=x
Taking +(ve) sign Taking -(ve) sign
(9+√69)/6=0 (9-√69)/6=0
∴(9+√69)/6=0 ∴(9-√69)/6=0
[∵They cannot be further solved]
The solutions to the given quadratic equation are x = 2.884 and
x = 0.116.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
The given equation is 3x² - 9x + 1 =0.
Solve the equation as follows:
3x² - 9x + 1 =0
Use the quadratic formula to solve the equation:
[tex]x = \frac{-(-9)\pm\sqrt{(-9)^2-4(3)(1)}}{2(3)}\\\\x= \frac{9\pm\sqrt{81-12}}{6}\\\\x=\frac{9\pm\sqrt{69}}{6}\\\\x = \frac{9\pm8.306}{6}\\\\x=\frac{9+8.306}{6}\quad\text{ or }x=\frac{9-8.306}{6}\\\\x=2.884\quad\text{ or }x=0.116[/tex]
Hence, the solutions to the given quadratic equation are x = 2.884 and
x = 0.116.
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Samual orders four DVDs from an online music store. Each DVDs costs $7.99. Sales tax is 6.75%
Answer:
8.529325
Step-by-step explanation:
Answer:
0.539325
Step-by-step explanation:
I used a calculator.
If the perimeter is 82cm and the length is 30cm, what is the width
Answer: 11cm
Step-by-step explanation:
2(30)+2x=82
60+2x=82
2x=22
x=11
Find the upper limit for the zeros of the function
P(x) = 4x 4 + 8x 3 - 7x 2 - 21x - 9
Answer:
We need to find the zeros.
4x^4 + 8x^3 - 7x^2 -21x - 9
You're supposed to use synthetic division, assuming you're in algebra 2. I removed my calculus work.
x = -1 1/2, 1+sqrt5/2 , 1-sqrt5/2
x= -1.5000000119775176
4x 4 + 8x 3 - 7x 2 - 21x - 9= 0
x= -0.618033988749895
4x 4 + 8x 3 - 7x 2 - 21x - 9= 0
x= 1.618033988749895
4x 4 + 8x 3 - 7x 2 - 21x - 9= 0
Rewrite this standard form quadratic equation into vertex form by completing the square. Upload your work here to show your thinking.
y=x2 - 6x +3
Solution :
Given the equation :
[tex]$y = x^2 - 6x+3 $[/tex]
[tex]$y=1(x^2 - 6x +n)+3$[/tex]
[tex]$n = \left(\frac{b}{2}\right)^2$[/tex]
[tex]$n = \left(\frac{6}{2}\right)^2$[/tex]
n = 9
[tex]$y=1(x^2 - 6x +9-9)+3$[/tex]
[tex]$y=1(x^2 - 6x +9)-9+3$[/tex]
[tex]$y=1(x-3)^2- 6$[/tex]
Therefore the vertex form of [tex]$y = x^2 - 6x+3 $[/tex] is [tex]$y=1(x-3)^2- 6$[/tex].
Solve and graph the inequality
6X + 32 > -4
Answer:
Simplifying
6x + 32 = 180
Reorder the terms:
32 + 6x = 180
Solving
32 + 6x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-32' to each side of the equation.
32 + -32 + 6x = 180 + -32
Combine like terms: 32 + -32 = 0
0 + 6x = 180 + -32
6x = 180 + -32
Combine like terms: 180 + -32 = 148
6x = 148
Divide each side by '6'.
x = 24.66666667
Simplifying
x = 24.66666667
6x + 32> -4
6x > -4 - 32
6x > -36
x > -6
I
On average, there is a 37% chance of a ship being an oil tanker. If 22 ships are scheduled to
be in port today, what is the probability that 7 of the ships are oil tankers?
Answer:
21.56
Step-by-step explanation:
Need Help !!!! ASAP
Answer:
Step-by-step explanation:
que es asap
Answer:
I can give you the forumal for solving all the problems.
Step-by-step explanation:
If this is finding the circumference, then you will need to do
[tex]C = 2*\pi *r[/tex]
If you want to find the area, you need to do
[tex]A = \pi * r^{2}[/tex]
Question : 4x -8 = -4 (11+2x)
What’s the answer?
Answer:
x = -3
Step-by-step explanation:
4x - 8 = -4 (11 + 2x) (distribute the -4 to the numbers in the parenthesis)
4x - 8 = -44 + -8x (add 8x on both sides)
12x - 8 = -44 (add 8 on both sides)
12x = -36 (divide both sides by 12)
x = -3
Hope this helps ya!!
Can someone help me with this please?
Answer:
-12
Step-by-step explanation:
subtracting a negative from a negative makes a greater negative, basically adding to the negative
Answer:
-8 is the answer correct
Step-by-step explanation:
A pack of gum that comes with 35 pieces is $2.88 how much is one piece of gum? (unit price)
Answer:
0.08
Step-by-step explanation:
Enter the equation in standard form.
Barney and Robin went shopping at H&M the store was having a sale on all shirts and pants. Barney spent $70 on 3 shirts and 2 pants and Robin bought 1 shirt and 4 pairs of pants for $90. (assume there is not sales tax).
Write an equation to describe the total sent by Barney in the terms of the numbers of shirts and pants purchased. Let x be the price of a shirt and y be the price of a pair of pants.
Answer: barney Robin
70=3x+2y 1x+4y=90
if needed the shirts cost 10$ and the pants cost 20$ each
-8.3 divided by 0.25
Answer:
-33.2
Step-by-step explanation:
Answer:this is what I got
Step-by-step explanation:
-33.2 ;-;
please help me :(((((((((((((((((((((((
Answer:
m∠D=64°
m∠E=90°
m∠F=26°
DE=154°
EF=116°
DF=90°
Step-by-step explanation:
Hope this helps :D
phew, this took me time, so I would appreciate brainliest, thanks have a good day :)
write an expression that is equivalent to 1/3x+3/4+2/3x-1/4-2/3x
giving brainliest
Answer:
1/3x + 1/2
Step-by-step explanation:
1/3x + 3/4 + 2/3x - 1/4 - 2/3x
Combine like terms
1/3x + 2/4
Simplify
1/3x + 1/2
Answer:
1/3x + 1/2
Step-by-step explanation:
Iready I checked it and it was right
Which equation has a graph that is a parabola with a vertex at (–1, –1)?
y = (x – 1)2 + 1
y = (x – 1)2 – 1
y = (x + 1)2 + 1
y = (x + 1)2 – 1
Answer:
[tex]y=(x+1)^2-1[/tex]
which agrees with the last option listed.
Step-by-step explanation:
We use the vertex form of a parabola:
[tex]y-y_v=a(x-x_v)^2[/tex]
which with the information we have becomes:
[tex]y-y_v=a(x-x_v)^2\\y-(-1)_v=a(x-(-1))^2\\y=a(x+1)^2-1[/tex]
Therefore the equation that corresponds to such vertex (-1, -1) is the last one listed among your given answer options.
[tex]y=(x+1)^2-1[/tex]
Answer:
D
Step-by-step explanation:
what is 2 3/4 cups doubled??
Step-by-step explanation:
need help please I don't have a long time!!
Answer:
with what
Step-by-step explanation:
Figure ABCD is a rhombus.
Rhombus A B C D is shown. Angle A is (5 x + 25) degrees and angle D is (7 x minus 1) degrees.
What is the value of x?
13
14
26
28
Answer:
Value of X is 13
The value of x is 13 in given figure, which is correct option (A).
What is the rhombus?A rhombus is defined as a special type of parallelogram that is a quadrilateral with two pairs of equal parallel sides. it fulfills the requirements of a parallelogram.
What is perimeter of rhombus?The perimeter of a rhombus is defined as the total length of its region. The four sides of a rhombus are equal, its perimeter is calculated by multiplying the length of its side by 4.
Perimeter of a rhombus = 4 × A units, where ‘A’ is the length of the side of the rhombus
In figure ABCD is a rhombus
Given as :
Angle ∠ A = (5x + 25)
Angle ∠ D = (7x - 1)
Since adjacent angles of a rhombus add up to 180°
(5x + 25) + (7x - 1) = 180 and both equal
So, 5x + 25 = 7x - 1
Rearrange the terms in the equation,
7x - 5x = 1 +25
2x = 26
x = 13
Hence, the value of x is 13 in given figure.
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A number is 6 times another number and their sum is 28. what are the two numbers
Answer:
1st number = x
2nd number = y
x = 6y
6y = 6 x x/6
6y = x
x + x = 2x
Answer is 2x
Step-by-step explanation:
x = 6y
y = x/6
find the value of this expression if x=1 and y=-5
x^2y/7
Answer:
5/7
Step-by-step explanation:
The accompanying diagram shows a flagpole that stands on level ground. Two cables, r and s,
are attached to a pole at a point 20 feet above the ground. The combine length of the two cables
is 70 feet. If cable r is attached to the ground 8 feet from the base of the pole, what is the
measure of the angle, x, to the nearest degree, that cable s makes with the ground?
Answer:
x = [tex]24^{o}[/tex]
Step-by-step explanation:
r + s = 70 feet
Applying Pythagoras theorem to the triangle formed by cable r;
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/r/^{2}[/tex] = [tex]/20/^{2}[/tex] + [tex]/8/^{2}[/tex]
[tex]r^{2}[/tex] = 400 + 64
= 464
r = [tex]\sqrt{464}[/tex]
= 21.541
Length of cable r is 21.54 feet.
So that,
r + s = 70 feet
21.54 feet + s = 70 feet
s = 70 feet - 21.54 feet
= 48.46 feet
Length of cable s is 48.46 feet.
Applying trigonometric function to the triangle formed by cable s, we have;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin x = [tex]\frac{20}{48.46}[/tex]
= 0.4127
x = [tex]Sin^{-1}[/tex] 0.4127
= 24.3746
x = [tex]24^{o}[/tex]
The measure of angle that s makes with the ground is approximately [tex]24^{o}[/tex].
How many different ID cards can be made if there are six digits on a card and no digit can be used more than once?
Answer:
10
Step-by-step explanation:
p-q= 10 q(2p-10)=1000
The first equation can be rearranged to obtain p=10+q.
Substituting this into the second equation,
[tex]q(2(10+q)-10)=1000 \\ \\ q(10+2q)=1000 \\ \\ q(5+q)=500 \\ \\ q^2 + 5q-500=0 \\ \\ (q+25)(q-20)=0 \\ \\ q=-25, 20 \\ \\ q=-25 \implies p=-15 \\ \\ q=20 \implies p=30 \\ \\ \therefore \boxed{(p,q)=\{(-15, -25), (30, 20)\}}[/tex]
I need the answer to this question anyone knows it
Answer:
x = 13
Step-by-step explanation:
Vertical angels are congruent so you set the two expressions equal to each other and solve for x.
2x - 2 = 3x -15 Subtraction 2x from both sides of the equation
-2 = x - 15 Add 15 to both sides of the equation
13 = x
What is the component form and magnitude of the vector? LeftAngleBracket 3, negative 2 RightAngleBracket and StartRoot 13 EndRoot LeftAngleBracket 3, negative 2 RightAngleBracket and StartRoot 5 EndRoot LeftAngleBracket negative 3, 2 RightAngleBracket and StartRoot 13 EndRoot LeftAngleBracket negative 3, 2 RightAngleBracket and StartRoot 5 EndRoot
Answer:
C
Step-by-step explanation:
edg 2023
Evaluate the expression when b = 100 3/9 (b-64)
Answer:
12
Step-by-step explanation:
3
9
(100−64)
=12
Answer:
b=64 96/149
Step-by-step explanation:
Determine which regions contain cube roots of −1. Check all that apply.
Answer:
its A, C, and F
Step-by-step explanation:
Answer:
A, C, F
Step-by-step explanation: