jackie has a checking account. For each day that her checking account balance falls below zero, she is charged by the bank a fee of $7.50 per day. Her current balance in the account is –$12.50. If she does not make any deposits or withdrawals, what will be the new balance in her account after 2 days? Show your work.

Answers

Answer 1

The new balance in Jackie's account after 2 days will be -$27.50.

How to illustrate the expression?

It should be noted that for each day that her checking account balance falls below zero, she is charged by the bank a fee of $7.50 per day.

Since her current balance in the account is –$12.50, the new balance after 2 days will be:

= -12.50 + (-7.50 × 2)

= -12.50 + -15

= -27.50

The balance is -27.50

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Related Questions

2x-5y=5
x - y table
graphh

Answers

Answer: -3/4

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: −3/4

y-intercept: (0,0)

x    y

0    0

4   -3

Prepare a frequency table of the following scores obtained by 40 students in a
test:
24,16,17,30,28,20,15,24,16,18,18,15,16,20,25,24,25,20,16,15,18,25,20,18,28,27
,25,24,24,18,18,25,20,16,25,20,27,28,28,16.

This contains 20 points please help me quick

Answers

This isn’t with the tally counter since I don’t have paper atm

Score | Frequency
15. 3
16. 6
17. 1
18 6
20. 6
24. 4
25. 6
27. 2
28. 4
30. 1

Answer:

Element  Frequency Cumulative Frequency

15                   3              3

16                   6              9

17                   1              10

18                   6             16

20                   6            22

24                   5            27

25                   6            33

27                   2            35

28                   4            39

30                   1             40

Step-by-step explanation:

Find out how many times an element(data value) appears. That will be the frequency(column 2). The cumulative frequency is the total of all frequencies prior to that element plus the current element frequency

Cumulative frequency for first element is same as its frequency

Cumulative frequency for element 16 is 3 + 6 = 9

Cumulative frequency for element 17 = 3 + 6 + 1 = 9 + 1=10. Basically it is the sum of the previous element cumulative frequency + the current frequency

Write the value of π correct to 5 decimal places.

Answers

Answer:

3.14159

Step-by-step explanation:

The value of π correct to 5 decimal places is 3.14159.

What are Decimal Numbers?

Decimal numbers are numbers which includes a whole number part and a fractional part.

The point separating both parts is the decimal point.

Pi, which is written as the Greek symbol π, is defined as the ratio of the circumference of any circle to the diameter of that circle.

We know that,

Circumference of a circle, C = 2 π r, where r is the radius.

2r will be the diameter.

π = C / 2r

The value of pi to 5 decimal places = 3.14159

Normally we use 3.14.

Hence the value of pi is 3.14159 to 5 decimal places.

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how many different letter arrangements can be obtained from the letters of the word statistically, using all the letters?

Answers

Different letter arrangements that can be obtained from the letters of the word statistically, using all the letters= 6,48,64,800

Given,

Total number of arrangements obtained = 6,48,64,800

Given words = STATISTICALLY

Total word count = 13

Here we have repeated alphabets as -

"S"s = 2

"T"s = 3

"A"s = 2

"I"s = 2

"L" = 2

Total permutations we have here = 13! / 2!2!2!2!3!

= 6,22,70,20,800 / 96

= 6,48,64,800

What is Permutation?

A permutation of a set in mathematics is, broadly speaking, the rearranging of its components if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

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Find FH

FH = {Blank}

Answers

Answer:

22

Step-by-step explanation:

By the segment addition postulate, FH=8+14=22.

The equation will be,

→ FH = FG + GH

Then the value of FH will be,

→ FH = 8 + 14

→ [ FH = 22 ]

Hence, the value of FH is 22.

Evaluate the expression when y=−2 and z=−5.

10y2z=

Answers

The value of the expression 10y²z is -750.

How to calculate the expression?

We are to calculate the expression 10y²z when y=−2 and z=−5.

This will be:

10y²z

= 10 × -5² × -3

= 10 × 25 × -3

= -750

The value of the expression 10y²z is -750.

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Which graph shows the solution to the system of linear inequalities?

x – 4y < 4

y < x + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

Answers

Answer:

SOLUTION: .−5x + 4y = 20. 10x − 8y = −40.

Step-by-step explanation:

First, solve the first equation for y. Then, substitute for y in the second equation. This equation is an identity

If angle 6 measures 9x+13 and angle 2 measures 11x-3 what is the measurement of angle 2

Answers

The measure of an angle 2 is 85°.

Given that, ∠6=9x+13 and ∠2=11x-3.

What are corresponding angles?

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line.

As we know, corresponding angles are congruent.

So, ∠6= ∠2

⇒ 9x+13=11x-3

⇒ 13+3=11x-9x

⇒ 16=2x

⇒ x=8

Now, ∠2=11x-3

=11×8-3=85°

Therefore, the measure of an angle 2 is 85°.

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Rhiannon and Sophie both started saving for a new piano this month. Rhiannon will deposit $35.80 per week, but her bank account is currently overdrawn with a -$253.50 balance. Sophie also has a negative bank account balance of -$78.25 and will deposit $23.30 each week. How many weeks (w) will it take for the two bank accounts to have the same balance?​

Answers

It will take 14.02 weeks for both the accounts to have the same balance

Bank account balance of Rhiannon = -$253.50

Money deposited by Rhiannon in the bank account each week = $35.80

Bank account balance of Sophie = -$78.25

Money deposited by Sophie in the bank account each week = $23.30

Let the number of weeks it takes to have the same account balance be x, therefore formulating the algebric equation we get:

Bank balance of Rhiannon + Money deposited by her each week*No of weeks it will take for the balance to be equal = Bank balance of Sophie + Money deposited by her each week*No of weeks it will take for the balance to be equal

= -253.5 + 35.8(x)  = -78.25 + 23.3(x)

= -175.25 = -12.5(x)

x =  14.02 weeks

Therefore, it will take 14.02 weeks for both the accounts to have the same balance

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Given [tex]f(x)=\frac{1}{x+5}[/tex], find the average rate of change of f(x) on the interval
[1,1+h]. Your answer will be an expression involving h.
Pls halp

Answers

The average rate of change of f(x) on the interval [1,1+h] is [1/(h + 6) - 1/6]/h

How to find the average rate of change of f(x) on the interval [1,1+h]?

The function is given as

f(x) = 1/(x + 5)

The interval is given as

[1, 1 + h]

Calculate f(1) as follows

So, we have

f(1) = 1/(1 + 5)

f(1) = 1/6

Calculate f(1 + h) as follows

So, we have

f(1 + h) = 1/(1 + h + 5)

f(1 + h) = 1/(h + 6)

The average rate of change of f(x) on the interval [1,1+h] is then calculated as

Rate = [f(1 + h) - f(1)]/[1 + h - 1]

This gives

Rate = [1/(h + 6) - 1/6]/h

Hence, the average rate of change of f(x) on the interval [1,1+h] is [1/(h + 6) - 1/6]/h

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If you roll a 6-sided die 66 times, what is the best prediction possible for the number of times you will roll an even number?

Answers

Answer:

33 times

Step-by-step explanation:

Set up an equation:

3 evens / 6 total = 1/2 probability of rolling an even

66 times x 1/2 probability= 33

Best prediction: 33 times

Hope this helps!

Simplify

x2 - 7x + 12
x2 -2x - 8

Answers

Answer:

5x+12

-8

Step-by-step explanation:

i think you have the problem wrong


Find the least common denominator (LCD) of 5/6 and
8/9

Answers

5/6 and 8/9 can be multiplied to be 15/18 and 16/18. so the lcd is 18

PLEASE HELPPPPPPPPPP

Answers

Answer:

20 1/16

Step-by-step explanation:

please give brilliantest pls

Answer:

You have the correct answer [tex]20 \frac{1}{16}[/tex]

Step-by-step explanation:

3/ax - 4 = 20 What is x?



x =

Answers

Answer:

[tex] \sf \large \: x=8a[/tex]

Step-by-step explanation:

Let's solve for x.

3/ax−4=20

Step 1: Multiply both sides by a.

−4a+3x=20a

Step 2: Add 4a to both sides.

−4a+3x+4a=20a+4a

3x=24a

Step 3: Divide both sides by 3.

3x/3 = 24a/3

x=8a

what is 5,435,778 expressed in scientific notation? a.5.435778 x 10 b.5.435778 x 10 c.5.435778 x 10 d.5.435778 x 10

Answers

5,435,778 in scientific notation will be 5.435778×10⁶.

Scientific notation is the way to represents huge numbers in simple form. This ease understanding and calculation of the numbers. When written in a scientific notation, the number is called coefficient, the number to which power is raised is called base and raised power is called exponent. For instance, in the given answer, 5.435778 is coefficient, 10 is base and 6 is exponent.

While converting the numbers into scientific notation, we need to remember following points -

If the number is greater than 1 or is a multiple of 10, the decimal will be placed on the Left Hand Side. Like in the number in question, decimal moved to left and we got positive exponent. If the number is less than 1, then decimal will be placed at Right Hand Side. In this case, the exponent will be negative. For instance, we will represent 0.005 as 5*10-³.

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The complete question is -

what is 5,435,778 expressed in scientific notation? a.5.435778 x 10⁷ b.5.435778 x 10³ c.5.435778 x 10⁶ d.5.435778 x 10⁵

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

The slope of the line shown is -2/3

Slope of a line

The formula for calculating the slope of a line is expressed according to the formula

Slope = Rise/Run

Slope = y₂-y₁/x₂-x₁

Using the coordinate point (-9,-2) and (-6, -4)

Slope = -4+2/-6+9
Slope = -2/3

Slope = negative two third

Hence the slope of the line shown is -2/3

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HELPP DUE TODAY
Geometry bisectors

Answers

Answer:

Step-by-step explanation:

Bisects means that ∠RED will be divided in two parts by segment EB. This means that ∠REB = ∠BED. So,

5x-3 + 5x-3 = 8x+16

10x-6 = 8x+16

2x = 22

x = 11

Keep in mind that 11 is NOT the angle of ∠BED. You will plug it back into ∠REB to get

5(11)-3 = 52

Therefore, ∠BED = 52°

52 is going to be your correct answer.

125+s is greater than or equal to 2300 in words

Answers

125 is greater than 23.

Given the question is to explain 125 > 23.

Here we have two numbers which are 125 and 23.

Inequalities:

Whenever we check the number which is greater or lesser by taking the difference between those two numbers we conclude which is greater or lesser.

If the difference between the numbers gets a positive number then the first number is greater than the second.

If the difference between the numbers gets a negative number then the first number is lesser than the second.

If the difference between the numbers gets zero value then the two numbers are equal.

So the difference between the given two numbers are

= 125 - 23

= 102

positive

So 125 is greater than 23.

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Your question is incomplete. Please find the complete question below

.Find 125 is greater than 23. Write about it in words.

question add 1 1/3 (−5/6) using the number line. select the location on the number line to plot the sum.

Answers

Answer:

Add 11/3+(-5/6)

17/6 it present on number line between

2 and

Step-by-step explanation:

Answer:

1 1/3 (−5/6) using the number line. select the location on the number line to plot the sum

Step-by-step explanation:

Rewrite the Expressions using Distributive Property
(2+3)6

Answers

30

six times three is equal to 18.
six times two is equal to 12.
18+12=30

Answer:

Step-by-step explanation:

If you distribute 6 to the  numbers inside the parenthesis, it means that you multiply both number by 6
2 x 6 = 12
3 x 6 = 18
the expression can be rewritten like the following:

12 + 18 = 30

s it true that for any integer n ≤ 2, φ(n) has a primitive root? if so, prove it. if not, give an explicit counterexample

Answers

No, it is not it true that for any integer n ≤ 2, φ(n) has a primitive root

What is primitive root?

In modular arithmetic, a number g is called a primitive root modulo n if every number  coprime to n is congruent to a power of  modulo . Mathematically, g is a primitive root modulo n if and only if for any integer  a such that gcd(a, n)=1 , there exists an integer k such that:

.[tex]g^{k}[/tex]≡ a (mod n)

Now,

Existence of Primitive root modulo n exists if and only if:

n is 1, 2, 4, orn is power of an odd prime number , orn is twice power of an odd prime number .

So,

if n be a positive integer. A primitive root mod n is an integer g such that every integer relatively prime to n is congruent to a power of g mod n.

For example,

As ϕ(11)=10, the order of 2(mod11) must divide 10.  

So we check 22≡4(mod11) and 25≡10(mod11).

Since neither of these are 1, and

we know 2ϕ(11)=210≡1(mod11) by Euler's Theorem,

ord112=ϕ(11), making 2 a primitive root modulo 11.

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i have already answered this question but got it wrong but really interested on the right answer

Answers

Answer:

You're right, It's option B.

Step-by-step explanation:

The expressions both share two common factors that are whole numbers; 9 and 6. Use those.

9: 1, 3, 9

6: 1, 2, 3, 6

3a. let’s explore the data. what are the mean lengths of yellowfish in each location? what are the variances? do they meet the assumption of equal variances?

Answers

(3a) The 95% confidence interval of σ[tex]_{1}^{2}[/tex]/σ[tex]_{2}^{2}[/tex] is: [0.1932 , 1.2032].

What is variance?

Variance is the anticipated squared deviation of a random variable from its population mean or sample mean in probability theory and statistics.

F test for variances, using F distribution ([tex]df_{num}[/tex]=19,[tex]df_{denom}[/tex]=20) (two-tailed) (validation).

Hypotheses

[tex]H_{0}:sigma_{1} = sigma_{2}\\\\H_{1}:sigma_{1}\neq sigma_{2}[/tex]

1. H0 hypothesis

Since p-value > α, H0 is accepted.

The sample standard deviation (S) of LaJolla.res' population is considered to be equal to the sample standard deviation (S) of Pt.Loma.ke's population.

In other words, the difference between the sample standard deviation (S) of the LaJolla.res and Pt.Loma.ke populations is not big enough to be statistically significant.

2. P-value

The p-value equals 0.1152, ( p(x≤F) = 0.05759 ). It means that the chance of type I error, rejecting a correct [tex]H_{0}[/tex], is too high: 0.1152 (11.52%).

The larger the p-value the more it supports [tex]H_{0}[/tex].

3. The statistics

The test statistic F equals 0.4796, which is in the 95% region of acceptance: [0.3986 : 2.4821].

S1/S2=0.69, is in the 95% region of acceptance: [0.6313 : 1.5755].

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How do you add this expression? -1/2 + 2/7

Answers

Answer:

You can't

Step-by-step explanation:

Determine the constant rate of change

Answers

I think it will be abc definitely

A stationery shop orders a batch of pens from a factory. The factory could make the batch of pens in 20 days using 12 machines. Due to a fault, only 9 machines were used for the first 8 days. All 12 machines were used from day 9 onwards. Work out the total number of days taken to make the batch of pens.

Answers

The number of days taken to complete the production of a batch of pens are 22, as calculated by basic algebra.

What is basic algebra?

Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.

Now, According to the question, the factories used all 12 machines in the last days, Also, for the first 8 days, only 9 machines were in use.

Thus, If the factories used all 12 machines, the batch of pens took 20 days to be manufactured.

Hence, the equation formed from the given information by basic algebra is: 20 + 12 - 9(8) / 12

28 - (72/12)

=28 - 6 = 22

Hence, The number of days taken to complete the production of a batch of pens are 22, as calculated by basic algebra.

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Alyse bought 1/3lb of orange pekoe tea and 1/2lb of
English cinnamon tea. How many pounds of tea did
she buy?

Answers

According to the solving Alyse buy 5/6lb pounds fraction of tea.

What in math is a fraction?

A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator as well as denominator of a complex fraction is a fraction.

How come a fraction is a number?

A numerator, which is located above the line, and a denominator make up fractions (which is below the line). You may find out how many equally sized pieces are divided into something by looking at the denominator. How many of these equal components are taken into account is indicated by the numerator.

According to the given fraction:

1/3lb of orange pekoe tea.

1/2lb of English cinnamon tea.

find the total pound of tea she buy:

So,

Adding these two fraction we get the total pounds:

= [tex]\frac{1}{3} + \frac{1}{2}[/tex]

= [tex]\frac{2 + 3}{6}[/tex]

= 5/6 lb

According to the solving Alyse buy 5/6lb pounds of tea.

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44 < 5x6 and 5x - 6 ≤ 54

Answers

Answer:

5x - 6 ≤ 54

5x-6+6 ≤ 54+6

5x ≤ 60

divide by 5

x ≤ 12

Step-by-step explanation:

Puzzle #4
1: Find the slope:
3: Find the slope:
(2,-6), (-4, -3)
2: Find the slope:
X
Y
-1
-12
1
-8
-4
0
35
5
4: Find the slope:
answer choices
B:
A:
C:
m=-2 m=0 m = 2
D:
m = -4
G:
m=
undefined
E: IF:
m =-
2
m = 4
I
H: -I:
m =
2
m =
Type the 4-
letter code into
the answer
box. All CAPS,
no spaces.
Does anyone know the code to puzzle 4???? Please

Answers

Answer:

1/-2

Step-by-step explanation:

Slope(m) = y2- y1/x2-x1

= -3-(-6)/-4-2

=+3/-6

=1/-2

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