Frances had no money in her checking account. She writes 3 checks for $35 each. The bank imposes a $15 penalty because she has overdrawn her account. How much money is in her account now?
Answers
The money in Frances' account is - $ 120 after the 3 checks and the penalty.
We are given that:
Frances has no money in her account.
Current balance of her account = $ 0
Now she wrote 3 checks of $ 35 each.
Amount written = 3 × $ 35 = $ 105
Now, the balance in her account will be = $ 0 - $ 105 = - $ 105
Also, the bank has imposed a penalty of $ 15 as she has overdrawn her account.
So, the balance now will become:
Balance = - $ 105 - $ 15 = - $ 120
Therefore, the money in Frances' account is - $ 120 after the 3 checks and the penalty.
Learn more about overdrawing here:
https://brainly.com/question/24914390
#SPJ9
Related Questions
The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers, and together they form
a Pythagorean triple. Find the length of the third side, then indicate whether it is a leg or a hypotenuse.
75, 85
A. 40. leg
B. 78, leg
C. 81, leg
D. 113, hypotenuse
Please select the best answer from the choices provided
A
C С
Answers
Answer:
A is right the A donkey
Step-by-step explanation:
Which table shows exponential decay?
Answers
The girls have to each write a 10 page paper
Joanna has written 7 pages
Amber has written 3 pages.
Esme has written 6 pages.
Lisa has written 9 pages
Choose names to mach the girl with the decimal that represents how much of the paper she written.
Answers
Answer:
Step-by-step explanation:
J=7/10=0.7
A=3/10=0.3
E=6/10=0.6
L=9/10=0.9
HOPE I HELPED
You are playing a card game with a standard deck of cards. How many way
can you end up with a 4-card hand consisting of all hearts?
Answers
Answer:
you cant get that many its somewhere between 10 and 5 ways
urgent!!
The product of a²b4 and a³b5 is?
Answers
Answer:
a^5b^9
Step-by-step explanation:
a^2b^4 * a^3b^5 = a^5b^9
The product of a²b⁴ and a³b⁵ is a⁵b⁹.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculations
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
For example 4/2 = 2
Given the two expressions as :
⇒ a²b⁴ and a³b⁵
To determine the product of a²b⁴ and a³b⁵
⇒ (a²b⁴) × (a³b⁵)
Rearrange the terms like wise,
⇒ a²a³b⁴b⁵
Adding to powers of same base,
⇒ a⁽²⁺³⁾b⁽⁴⁺⁵⁾
⇒ a⁵b⁹
Hence, the product of a²b⁴ and a³b⁵ is a⁵b⁹.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
The perimeter of a rectangle is 32 units. The width is 7 units.
Answers
A
Explanation:
7+7 +2l=32, 14+2l=32, 2l=32-14, 2l=18, l=18/2, l=9
If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answers
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Answers
developing:
a low GDP
an economy based on agriculture
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
what is the reciprical and product of the fraction 3/7?
Answers
Answer:
7/3
Step-by-step explanation:
as it is a reciprocal you must flip the fraction so you can get your answer i hope this helped C:
need answer ASAP pls
Which is the independent variable in the graph of the U.S. population 1800-1900?
United States
straight lines
years
population
Answers
Answer: United States
Step-by-step explanation: Because threats the only independent variable the rest are dependent on others.
Lee la siguiente situación y completa:
Para lanzar una nueva revista en una ciudad se va a preguntar a sus habitantes acerca de sus temas de interés. Para ello, se realiza una encuesta telefónica en forma aleatoria a 40.000 personas.
Answers
De acuerdo con la información podemos inferir que la población se refiere a los habitantes de la ciudad y la muestra es 40,000 personas.
¿Cómo identificar la información faltante?Para identificar la información faltante debemos tener en cuenta la información del enunciado. En este caso nos dicen que quieren implementar una revista en una ciudad determinada y para identificar los temas de la revista debemos hacer una encuesta.
En este caso, la entrevista se realiza a 40,000 personas por lo que esta sería la muestra debido a que no podríamos realizar la encuesta a cada una de las personas que es habitante de la ciudad.
Nota: Esta pregunta está incompleta. Aquí está la información completa:
Población:Muestra:Aprenda más sobre población y muestra en: https://brainly.com/question/22903538
#SPJ1
On her way to her grandmothers house. Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by foot. If Jackie traveled 34 miles an hour how many miles did she travel by train?
Answers
Answer:
the answer is 136 miles
3x² - 8(y + 2)
2y
for x = 8 and y = -2.
Answers
3x² - 8(y + 2) 2y for x = 8 and y = -2 is equal to -48.
The provided equation is a quadratic equation of the type \(ax^2+bx+c\), and as such, we must find a solution for the unknown term x. One approach to discover the roots of the given quadratic equation is to complete the square. A quadratic equation is a polynomial equation with degree equal to two.
Finding the values of a, b, and c beforehand is one of the simpler approaches to solve the equation using the formula. Directly entering the values into the calculation raises the possibility of making sign-related mistakes. Observe "\(b^2\)"
" denotes the square of each b.
its sign included.
\(3x^2-8(y+2)/2y=3x^2-8y-16/2y\)
\(3x^2-8y-16/2y\)
Substituting the value of x=8 and y=-2
\(3(8)(8)-8(-2)-16/2(-2)\)
\(=192+16-16/-4\)
\(=192/-4\)
\(=-48\)
To learn more about quadratic equation visit link:
https://brainly.com/question/24334139
#SPJ9
Which equation below does not show equivalent expressions when y = 2
Answers
The equation below that does not show equivalent expressions when y = 2, is 5y + 25 = 5 ( y + 4 ).
option C.
Which equation does not follow the equivalent expression?
The equation below that does not show equivalent expressions when y = 2, is determined by solving for y in all the given equation.
y + 4y = y ( 1 + 4 )
y + 4y = y + 4y
5y = 5y
y = y
y + y + y = 3y
3y = 3y
y = y
5y + 25 = 5 ( y + 4 )
5y + 25 = 5y + 20
5y + 5 = 5y
5 ( y + 1 ) = 5y
y + 1 = y
2 (y + 2 ) = 2y + 4
2y + 4 = 2y + 4
2y = 2y
y = y
Learn more about equivalent expression here: https://brainly.com/question/22365614
#SPJ1
Use the coordinates of the labeled point to find the point-slope equation of
the line.
A. y-5=-3(x+3)
B.y-3-(x+5)
C. y + 5 = 3(x+3)
D. y + 5 = -3(x-3)
(3,-5)
Answers
By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.0 5 2 -2
First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (4 + 5)/(0 - 3)
Slope (m) = -9/3
Slope (m) = -3
At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-5) = 3(x - 3)
y + 5 = -3(x - 3)
Read more on point-slope here: brainly.com/question/24907633
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
SOMEBODY HELP !!!!!!!
Answers
Answer:
i got
\( - \frac{11}{12} \)
I do not know if I'm right please tell me me if I'm wrong
fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
Answers
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
can anyone help me with this?
Answers
Answer:
The surface area is 65.94 ft
Find the slope of the line through each pair of points
(10, -14), (11,11)
Answers
Hello there! I can help you with joy! :)
If we have 2 points, then we can find the slope using this formula:
m=\(\frac{y2-y1}{x2-x1}\)
y2=11
y1=-14
x2=11
x1=10
\(\frac{11-(-14)}{11-10}\)
\(\frac{11+14}{1}\)
25
Hope this helps you!
#HaveAnAmazingDay
\(GraceRosalia\)
W Explain how you know that 88 is a solution to the equation x = 11 by completing the sentence below. "88 is a solution to x = 11 because...'
Answers
Answer:
88 is a solution to 1/8 x = 11 because 1/8(88) = 11
Salvatore gets
50 trading cards for his birthday. He gives
22 cards to Madison, and Madison gives
18 cards to Salvatore. Then Salvatore's
sister gives him 14 cards. How many
trading cards does Salvatore have now?
Use math to represent the problem.
Answers
Answer:
60
Step-by-step explanation:
50-22=28
28+18+14=60
Salvatore has 60 trading cards.
(Hope this helps)
After all the exchanges, Salvatore ends up with 60 trading cards.
Let's break down the information given in the problem step by step and represent it using math:
Salvatore starts with 50 trading cards.
He gives 22 cards to Madison. This means his number of cards reduces by 22:
Initial cards - Cards given to Madison = 50 - 22 = 28 cards.
Madison gives 18 cards back to Salvatore. This means his number of cards increases by 18:
Remaining cards + Cards received from Madison = 28 + 18 = 46 cards.
Salvatore's sister gives him 14 cards. This means his number of cards increases by 14:
Total cards + Cards received from sister = 46 + 14 = 60 cards.
So, after all the exchanges, Salvatore ends up with 60 trading cards.
To know more about trading cards click here :
https://brainly.com/question/12371960
#SPJ3
In 2010, a new type of computer was introduced and approximately 20 million were sold. In 2011, the number sold increased by a factor of approximately 4.5. Assuming that the sales follow a linear trend through 2016, approximately how many of these computers will be sold in 2016?
Answers
Answer:
440 million computer sold
Step-by-step explanation:
in 2010 = 20 million sold
in 2011 = 4.5*20= 90 million sold
by linear equation formula
\(\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1}\)
where y = computer sold in million
x= year
putting in above equation and solving we get
\frac{x-10}{11-10}=\frac{y-20}{90-20}
70x-y=680
in 2016 put x= 16 ( assuming hat the sales follow a linear trend through 2016)
y = 70*16-680 = 1120-680= 440 million computer sold
2. Assume that each situation can be expressed as a linear cost function and find the appropriate cost function. (a) Fixed cost, $100; 50 items cost $1600 to produce. (b) Fixed cost, $400; 10 items cost $650 to produce. (c) Fixed cost, $1000; 40 items cost $2000 to produce. (d) Fixed cost, $8500; 75 items cost $11,875 to produce. (e) Marginal cost, $50; 80 items cost $4500 to produce. (f)Marginal cost, $120; 100 items cost $15,800 to produce. (g) Marginal cost, $90; 150 items cost $16,000 to produce. (h) Marginal cost, $120; 700 items cost $96,500 to produce.
Answers
Given:
Cost function is defined as,
\(\begin{gathered} C(x)=mx+b \\ m=\text{marginal cost} \\ b=\text{fixed cost} \end{gathered}\)a) Fixed cost = $100, 50 items cost $1600.
The cost function is given as,
\(\begin{gathered} C=\text{Fixed cost+}x(\text{ production cost)} \\ x\text{ is number of items produced} \\ \text{Given that, }50\text{ items costs \$1600} \\ 1600=100\text{+50}(\text{ production cost)} \\ \text{production cost=}\frac{1600-100}{50} \\ \text{production cost}=30 \end{gathered}\)So, the cost function is,
\(C=30x+100\)b) Fixed cost = $400, 10 items cost $650.
\(\begin{gathered} 650=400+10p \\ 650-400=10p \\ p=25 \\ \text{ Cost function is,} \\ C=25x+400 \end{gathered}\)c) Fixed cost= $1000, 40 items cost $2000 .
\(\begin{gathered} 2000=1000+40p \\ p=25 \\ C=25x+1000 \end{gathered}\)d) Fixed cost = $8500, 75 items cost $11,875.
\(\begin{gathered} 11875=8500+75p \\ 11875-8500=75p \\ p=45 \\ C=45x+8500 \end{gathered}\)e) Marginal cost= $50, 80 items cost $4500.
In this case we know the value of m = 50 .
Use the slope point form,
\(\begin{gathered} y-y_1=m(x-x_1) \\ (x_1,y_1)=(80,4500) \\ y-4500=50(x-80) \\ y=50x-4000+4500 \\ y=50x+500 \\ C=50x+500 \end{gathered}\)f) Marginal cost=$120, 100 items cost $15,800.
\(\begin{gathered} y-y_1=m(x-x_1) \\ (x_1,y_1)=(100,15800) \\ y-15800=120(x-100) \\ y=120x-12000+15800 \\ y=120x+3800 \\ C=120x+3800 \end{gathered}\)g) Marginal cost= $90,150 items cost $16,000.
\(\begin{gathered} y-y_1=m(x-x_1) \\ (x_1,y_1)=(150,16000) \\ y-16000=90(x-150) \\ y=90x-13500+16000 \\ y=90x+2500 \\ C=90x+2500 \end{gathered}\)h) Marginal cost = $120, 700 items cost $96,500
\(\begin{gathered} y-y_1=m(x-x_1) \\ (x_1,y_1)=(700,96500) \\ y-96500=120(x-700) \\ y=120x-84000+96500 \\ y=120x+12500 \\ C=120x+12500 \end{gathered}\)which measure of central tendency best describes the situation, the ages of 7 people who auditioned for a role in a play: 17,20,22,12,15,12,21
Answers
Answer:
Both the mean and median and they both gives a measure of 17
Step-by-step explanation:
Given the data about the ages of 7 people :
17,20,22,12,15,12,21
Ordered data: 12, 12, 15, 17, 20, 21, 22
To find the median :
Median = 1/2 * (n+1)th term
n = number of observations = 7
Median = 1/2(7+1)th term
Median = 1/2 *8 = 4th term = 17
Mean = Σx / n = (sum of ages) / number of observations
Mean = 119 / 7 = 17
:
I buy 4 5/8 blue fabric and 2 1/8 green fabric how much blue than green did i buy
Answers
Answer:
2.5
Step-by-step explanation:
We Know
You buy 4 5/8 blue fabric and 2 1/8 green fabric .
4 5/8 = 37/8 = 4.625 blue fabric
2 1/8 = 17/8 = 2.125 green fabric
How much blue than green did you buy?
We Take
4.625 - 2.125 = 2.5
So, you buy 2.5 blue more than green.
Use the order of operations to evaluate this expression (-2+1)
Answers
Answer:
12
Step-by-step explanation:
2²×3
I hope its correct
Answer:
4
\( {( - 2 + 1)}^{2} + 5(12 \div 3) - 9 \\ 2 + 1 + 5 \times 4 - 9 \\ 3 + 20 - 9 \\ 23 - 9 \\ 14\)
end
A cruise ship is 1480 feet from a light house off a Caribbean Island.
If the angle of elevation from the cruise ship to the top of the light
house is 4º, what is the height of the lighthouse? Round to the
nearest whole foot.
Answers
Answer:
104 feet
Step-by-step explanation:
To get the height of the lighthouse, we need to take the sine function of the anglesin4° = 0.07sin4° = h/1480⇒ h/1480 = 0.07⇒ h = 1480 x 0.07⇒ h = 103.6⇒ h = 104 feetWhich numbered choice shows a set of numbers whose product is -20 and whose sum is +1?
Answers
PLS HELP I WILL MARK BRAINILEST
Answers
Answer:
Let's assume the original price of the stock was x.
When the company announced it overestimated demand, the stock price fell by 40%.
So, the new price of the stock after the first decline was:
x - 0.4x = 0.6x
A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.
So, the new price of the stock after the second decline was:
0.6x - 0.6(0.6x) = 0.24x
Given that the current stock price is $2.40, we can set up the equation:
0.24x = 2.40
Solving for x, we get:
x = 10
Therefore, the stock was originally selling for $10.
Decide whether the two expressions are equivalent for each problem below.
If they ARE equivalent, explain why.
If they ARE NOT, provide the reason why the two expressions are not equivalent.
A) -8(x+7) and -8x-7
B) 6x and 4x+2
C) 15-4x and - 4x +15
D) 7(x+10) and 7x+70
Answers
Answer:
Step-by-step explanation: