What are all of the answers for these questions? Use 3 for pi. Please do not use a file to answer, I cannot read it.Question 8.
Answers
To calculate the area of the doughnut, we need to calculate the area of the larger circle and substract the area of the smaller circle.
The area of a circle can be calculated using its radius:
[tex]A=\pi r^2[/tex]The diameter of the larger circle is 6cm which meand that its radius is half as large, so the radius is 3 cm and the area of the larger circle is:
[tex]A_L=\pi3^2=9\pi[/tex]Area of 9π cm².
The smaller one have a diameter of 2 cm, so its radius is half as large, radius of 1 cm.
So, the area of the smaller circle is:
[tex]A_S=\pi1^2=\pi[/tex]Area of π cm².
The total shaded area is, then, the area of the larger minus the area of the smaller.
So, the shaded area is:
[tex]\begin{gathered} A=A_L-A_S \\ A=(9\pi-\pi)cm^2 \\ A=8\pi cm^2 \\ A\approx(9\cdot3)cm^2 \\ A\approx27cm^2 \end{gathered}[/tex]Related Questions
If you select one card at random from a standard deck of 52 cards, what is the probability that the card is black OR a 6?
Answers
Since there are 52 cards in the standard deck
Since half of them are in black
Then the probability of getting a black card is
[tex]\begin{gathered} P(b)=\frac{\frac{52}{2}}{52} \\ P(b)=\frac{26}{52} \end{gathered}[/tex]Since there are 4 cards of 6, then
The probability of getting 6 is
[tex]P(6)=\frac{4}{52}[/tex]OR in probability means adding, then
The probability of getting a black card or a 6 is
[tex]\begin{gathered} P(b\text{ or 6)=}\frac{26}{52}+\frac{4}{52} \\ P(b\text{ or 6) =}\frac{30}{52} \end{gathered}[/tex]We can simplify it by dividing up and down by 2
[tex]\begin{gathered} P(b\text{ or 6)=}\frac{\frac{30}{2}}{\frac{52}{2}} \\ P(b\text{ or 6)=}\frac{15}{26} \end{gathered}[/tex]The answer is P(b or 6) = 30/52 OR 15/26
find the answer fast pleaseee
Answers
Answer: (2 · (-4y)) + (2 · 2x) + (2 · (-3))
Step-by-step explanation: Distribute the 2 by multiplying each term in the parentheses by 2.
Find the lengths of the diagonals of rectangle WXY Z where WY-2x + 34 and XZ = 3x – 26The length of each diagonal isunits.
Answers
To solve the exercise, you can first draw a picture to better understand the statement. So,
Now, in a rectangle, the lengths of the diagonals measure the same. So,
[tex]\begin{gathered} WY=XZ \\ -2x+34=3x-26 \end{gathered}[/tex]To solve for x first subtract 34 from both sides of the equation
[tex]\begin{gathered} -2x+34-34=3x-26-34 \\ -2x=3x-60 \end{gathered}[/tex]Subtract 3x from both sides of the equation
[tex]\begin{gathered} -2x-3x=3x-60-3x \\ -5x=-60 \end{gathered}[/tex]Divide by -5 into both sides of the equation
[tex]\begin{gathered} \frac{-5x}{-5}=\frac{-60}{-5} \\ x=12 \end{gathered}[/tex]Finally, replace the value of x in the length of any of the diagonals, for example, the diagonal WY
[tex]\begin{gathered} WY=-2x+34 \\ WY=-2(12)+34 \\ WY=-24+34 \\ WY=10 \end{gathered}[/tex]Therefore, the length of each diagonal is 10 units.
what is a division expression with a quotient that is greater than 8 divided by 0.001
Answers
SOLUTION
Write out the given expression
[tex]\frac{8}{0.001}[/tex]An expression with a quotient that is greater than the expression above is to increase the numerator and leave the denominator unchanged
Hence, we have
[tex]\frac{9}{0.001}is\text{ greater than }\frac{8}{0.001}[/tex]Therefore
The division expression with a quotient that is greater than 8 divided by 0.001 is
9/0.001
Question 3The length of a rectangle is 5 less than three times the width. Ifthe perimeter is 174, which equation could be used to find thedimensions?A4x - 5 = 1746x - 10 = 174B8x - 10 = 174D8x = 1741 point Can someone also help me with the rest
Answers
ANSWER
B. 8w - 10 = 174
EXPLANATION
The length of the rectangle is 5 less than 3 times the width.
Let the length be L.
Let the width be w.
This means that:
L = 3 * w - 5
L = 3w - 5
The perimeter of a rectangle is given as:
P = 2(L + w)
The perimeter of the rectangle is 174. This means that:
174 = 2L + 2w
Recall:
L = 3w - 5
=> 174 = 2(3w - 5) + 2w
174 = 6w - 10 + 2w
=> 8w - 10 = 174
That is Option B
Show all work to receive credit. Write verbal questions in at least one complete sentence.For each of the following questions, decide if the data is qualitative or quantitative. If it is quantitative, decide if it’s discrete or continuous. Explain the reason for your answer. a)Janelle is collecting data on the number of ounces of water drank by college students during a typical math class. What type of data is this?
Answers
To answer this question let's remember the definitions of qualitative and quantitative data:
• Qualitative data is data that describes the attributes or properties of what we are studying.
,• Quantitative data that describes certain quantity or amount. It is usually express by numbers with some unit associated it with it and it can be discrete or continuous. Discrete data is described by particular numbers in a range and continuos data is described by any number in any range.
With this in mind we conclude that Janelle is measuring qualitative data, since she is measuring the amount of water the student takes, furthermore this is continuous data since each student can drink any amount of water, that is, we can even divide the ounces in any decimal.
Lucy you will use more than one out of two half s cup but less than one whole cup of flour for a recipe what fraction of a cup might lessy use explain
Answers
Given:
Leslie will use more than ½ cup but less than 1 whole cup of flour for a recipe.
Let's find the fraction of a cup Leslie might use.
To find the fraction of a cup Leslie might use, find the fraction that is less than 1 whole and still more than ½.
To find the fraction of a cup Leslie might use, we have the fraction:
[tex]\frac{3}{4}[/tex]This is because the fraction, ¾, is less than 1 whole and it is still more than ½.
¾ is ¼ less than 1 whole and ¼ greater than ½
Therefore, the fraction of a cup Leslie might use is ¾
ANSWER:
[tex]\frac{3}{4}[/tex]A company needs to create a concrete foundation 3 feet deep measuring 56‘ x 26‘, outside dimensions, with walls 5 inch thick how many cubic yards of concrete will they need?
Answers
We are asked to determine the volume of the concrete wall with the given dimensions. To do that we will determine the volume of the exterior prism with dimensions 56ft, 26ft, and 3ft. This volume is given by the product of its dimensions:
[tex]V_e=(56ft)(26ft)(3ft)[/tex]Solving the operations we get:
[tex]V_e=4368ft^3[/tex]Now, we need to determine the interior volume. That is the prism that is inside the foundation. To determine the dimensions we need to convert 5 inches to feet. To do that we will use the following conversion factor:
[tex]1ft=12in[/tex]Multiplying by the conversion factor we get:
[tex]5in\times\frac{1ft}{12in}=0.42ft[/tex]Now we determine the length and width of the inside prism. To do that we use the following:
Therefore, we need to subtract 2 times 5 inches to each of the exterior dimensions to get the inner dimensions, therefore, the interior volume is:
[tex]V_i=(56ft-2(5in))(26ft-2(5in))(3ft)[/tex]Substituting the inches we get:
[tex]V_i=(56ft-0.83ft)(26ft-0.83ft)(3ft)[/tex]Solving the operations:
[tex]V_i=4165.89ft^3[/tex]Now, the volume of the wall is the difference between the exterior volume and the interior volume. Therefore:
[tex]V=V_e-V_i[/tex]Substituting the values we get:
[tex]\begin{gathered} V=4368ft^3-4165.89ft^3 \\ V=202.11ft^3 \end{gathered}[/tex]Since we need to express the solution in cubic yards we will use the following conversion factor:
[tex]1yd^3=27ft^3[/tex]Multiplying by the conversion factor we get:
[tex]202.11ft^3\times\frac{1yd^3}{27ft^3}=7.49yd^3[/tex]Therefore, 7.5 cubic yards are needed.
10. A system of equations is shown below.3x - y = 10y = 4x-8What is the value of x - y of the solution to the system?C. 14A -98D. 62B-18
Answers
Given:
3x - y = 10
y = 4x-8
Required:
What is the value of x - y of the solution to the system?
Explanation:
3x - y = 10
y = 4x-8
substitute into one of the equations
[tex]\begin{gathered} 3x-(4x-8)=10 \\ \\ combine\text{ like terms} \\ \\ -x+8=10 \\ \\ -x=2 \\ \\ x=-2 \end{gathered}[/tex][tex]\begin{gathered} substitute\text{ value of x} \\ \\ 3\times(-2)-y=10 \\ \\ -6-y=10 \\ \\ -y=10+6 \\ \\ -y=16 \\ \\ y=-16 \end{gathered}[/tex][tex]\begin{gathered} substitute\text{ value into x-y:} \\ \\ -2-(-16) \\ \\ -2+16 \\ \\ 14 \end{gathered}[/tex]Required answer:
C. 14
Jenna, a 40-year-old female, bought a $650,900, 20-year life insurance policythrough her employer. Jenna is paid weekly. How much is deducted from each of herpaychecks? (use the table) Round answer to the hundredths place. If the answerdoesn't have a hundredths place then use zeros so that it does.
Answers
ANSWER:
$120
STEP-BY-STEP EXPLANATION:
Jenna is a 40-year-old woman and her policy is for 20 years, so according to the table, for every $1,000, $9.60 per year is deducted.
Now, Jenna's policy is $650,900, therefore, the annual deduction in her case taking into account her rate would be:
[tex]\begin{gathered} \frac{650900}{1000}=650.9\cong650 \\ \\ \text{ Therefore:} \\ 650\cdot9.6=6240 \end{gathered}[/tex]Now, this is the annual result, but since the payments are weekly and we know that there are 52 weeks in a year, then:
[tex]\begin{gathered} d=\frac{6240}{52} \\ \\ d=\text{ \$120} \end{gathered}[/tex]Which means that in each payment they deduct $120
CR. 4: Two spinners-One 5 and one 6. What is the probability that you will spin thesame number on both spinners twice. What is the probability that you get two numbersthat have the SUM of 5? What is the probability that you land on an even number?Lastly, what is the probability that you will get one 2 and one 3 when you spin?(OR NewSpinners)
Answers
We will denote the first spinner as S5 and the second one as S6.
1) Probability spin the same number is both spinners twice
The probability of landing in a given number using S5 is equal to 1/5, while when using the S6 the probability is 1/6.
First, we get the same result twice using S5, this probability is given by:
[tex]P(S5_{\text{twice}})=\frac{1}{5}\cdot\frac{1}{5}=\frac{1}{25}[/tex](An specific number, of the 5 available, twice) Notice that the result we obtain with S5 does not affect what we obtain with S6.
On the other hand, the probability of getting any number twice in a row, using S6, is:
[tex]P(S6_{\text{twice}})=\frac{1}{6}\cdot\frac{1}{6}=\frac{1}{36}[/tex](An specific number, of the 6 available, twice) In case the problem refers to the probability of spinning S5 once, then S6, and obtaining the same number:
First, notice that there are a total of 5 results that satisfy this condition
(1,1),(2,2),(3,3),(4,4),(5,5)
And there is a total of 5*6=30 possible combinations. 30 different pairs (S5,S6).
So, the probability is the number of positive cases divided by the total amount of cases:
[tex]P(S5=S6)=\frac{5}{30}=\frac{1}{6}[/tex]This is the probability of getting the same number if you spin S5 and S6 once each.
2) Probability getting two numbers which SUM is equal to 5
Let's suppose that the problem refers to spinning once each one of the spinners and then adding the results.
First, we need to get the pairs that add up to 5
(S5,S6)
(1,4),(4,1)(2,3),(3,2). These are the only pairs that satisfy the condition.
And remember that, when spinning S5 and S6 once each, there are 30 possible combinations. So, the probability we are looking for in part 2 is:
[tex]P(SUM(5))=\frac{4}{30}=\frac{2}{15}\approx0.1333\ldots[/tex]3) Landing on an even number
In the case of S5, there are 2 even numbers:2,4 and 5 numbers on which the spinner can land:1,2,3,4,5.
So, the probability is:
[tex]P(S5_{\text{even}})=\frac{2}{5}=0.4[/tex]On the other hand, the probability of getting an even number with S6 is:
[tex]P(S6_{\text{even}})=\frac{3}{6}=0.5[/tex]We can even find the probability of spinning S5 once, then S6, and get an even number. Since the events are independent, that probability is:
[tex]P(S5_{\text{even}})\cdot P(S6_{\text{even}})=0.4\cdot0.5=0.2=\frac{1}{5}[/tex]d) Get one 2 and one 3.
Once again, there is a total of 2 pairs that satisfy this condition: (2,3) and (3,2), and there is a total of 30 combinations when we spin S5 and S6. So,
[tex]P(2and3)=\frac{2}{30}=\frac{1}{15}\approx0.0666[/tex]And that's the answer to the fourth question
Use trig ratios to find the missing side of the triangle below. Show all of your work. Round your answer to the nearest 10th.
Answers
Answer:
[tex]x\approx12.7[/tex]Step-by-step explanation:
To solve this situation, we can use trigonometric ratios or relationships to find x. Trigonometric ratios are represented by the following diagram and formulas:
Therefore, to find x, use the sen relationship:
[tex]\begin{gathered} \sin (65)=\frac{x}{14} \\ x=14\cdot\sin (65) \\ x=12.688 \\ \text{ Rounding to the nearest 10th:} \\ x\approx12.7 \end{gathered}[/tex]CourcesKhan AcademyEmpirical ruleYou might need: CalculatorThe lifespans of seals in a particular zoo are normally distributed. The average seal lives 13.8 years, the standarddeviation is 3.2 years,ALCROLUse the empirical rule (68 - 95 - 99.7%) to estimate the probability of a seal living less than 7.4 years.Asi%Show CalculatorTATUSCoReport a problemStuck? Watch a video or use a hint.SAPro
Answers
Probability of a seal living less than 7.4 years, P(X < 7.4) = 0.023
Explanations:The distribution is said to be a normal distributuion.
For a normal distribution, you first calculate the z value.
[tex]\begin{gathered} \text{Average life, }\mu\text{ = 13.8} \\ \text{Standard Deviation, }\sigma\text{ = 3.2} \\ \text{The observed value, x = 7.4} \end{gathered}[/tex]The z value is calculated as:
[tex]\begin{gathered} \text{z = }\frac{\text{x -}\mu}{\sigma} \\ z\text{ = }\frac{7.4-13.8}{3.2} \\ z\text{ = }\frac{-6.4}{3.2} \\ z\text{ = -2} \end{gathered}[/tex]The probability of a seal living less than 7.4 years can be represented mathematically as:
P ( X < 7.4) Which can be interpreted as P(z < -2)
Checking this is in standard normal table:
P( z < -2) = 0.02275
Approximating to 3 decimal places, P(z < -2) = 0.023
Therefore, P ( X < 7.4) = 0.023
f(x) = 2.5x - 10.5if X= 2
Answers
Answer:
-5.5
Explanation:
Gven the below function;
[tex]f(x)=2.5x-10.5[/tex]when x = 2, it means we should substitute x = 2 into the above function or find f(2);
[tex]\begin{gathered} f(2)=2.5(2)-10.5 \\ =5-10.5 \\ =-5.5 \\ \therefore f(2)=-5.5 \end{gathered}[/tex]These are some unfinished calculations. Complete them to find each difference
Answers
for 2nd question
[tex]\begin{gathered} 9\frac{4}{8}-5\frac{1}{8}=\frac{76}{8}-\frac{41}{8} \\ =\frac{76-41}{8}=\frac{35}{8}\text{ or 4}\frac{3}{8} \end{gathered}[/tex]for 3rd question,
[tex]\begin{gathered} 9\frac{4}{8}-3\frac{5}{8}=\frac{76}{8}-\frac{29}{8} \\ =\frac{76-29}{8}=\frac{47}{8}\text{ or 5}\frac{7}{8} \end{gathered}[/tex]for 4th question,
[tex]\begin{gathered} 5\frac{1}{8}-3\frac{5}{8}=\frac{41}{8}-\frac{29}{8} \\ =\frac{41-29}{8}=\frac{12}{8}=\frac{3}{2}\text{ or 1}\frac{1}{2} \end{gathered}[/tex]Ken is building an outdoor walking path with pavers. Pavers are sold 10 for $8 or $1 per paver. Ken needs 52 pavers to complete the walking path what is the least amount that 52 pavers cost?
Answers
Ken is building an outdoor walking path
Pavers are sold 10 for $8 or $1 per paver
Ken needs 52 pavers to complete the walking path
if 10 pavers is sold for $8
52 / 10 = 5 remainder 2
This means he is going to buy 50 pavers for
5 x $8 = $40
Remaining two pavers
Since, 1 paver is sold for $1
The 2 pavers will be sold for $2
$40 + $2 = $42
The least amount that 52 pavers will cost is $42
How do I turn 19/40 in to a % thanks
Answers
multiply the expression by 100 to make it into percentage :
[tex]\begin{gathered} \frac{19}{40\text{ into percenatge }}\text{= 0.475}\times100\text{ } \\ \\ \frac{19}{40\text{ into percenatge }}\text{== 0.475}\times100 \\ \frac{19}{40\text{ into percenatge }}\text{= 47.5\%} \end{gathered}[/tex]Answer : 47.5 %
How does linear inequality work?
Answers
To graph a inequality we first need to grapg the equality, in this case the line y=3-1/3x, and then we check which of the two sets of points fullfil the inequality and paint this set. in this case the inequality is estrict so it doesn't include the boundary line.
2. Write the equation of g(x) given the table below. X -2 --1 1 g(x) 3 6 12
Answers
let us first calculate the slope:
[tex]m=\frac{6-3}{-1--2}=\frac{3}{1}=3[/tex]having the slope, we can use the slope-point equation and we get that
[tex]\begin{gathered} y-12=3(x-1)=3x-3 \\ y=3x-3+12=3x+9 \end{gathered}[/tex]so g(x)=3x+9
7. Use the quadratic formula to solve the equation.4x + x-9-0-11 1722-82908-111454-11 145B
Answers
Use the quadratic formula, given by:
[tex]x=\frac{-b\pm\sqrt[]{b^{2}-4ac}}{2a}[/tex]where a, b and c are the coefficients of the equation:
ax² + bx + c = 0
By comparing the given equation 4x² + x - 9 = 0, with the previous general form, you have:
a = 4
b = 1
c = -9
replace the previous values of the parameters into the quadratic formula:
[tex]\begin{gathered} x=\frac{-1\pm\sqrt[\square]{(1)^{2}-4(4)(-9)}}{2(4)} \\ x=\frac{-1\pm\sqrt[]{145}}{8} \end{gathered}[/tex]The previous expression contains the solutions to the given quadratic equation.
find the smallest non negative value for x in degrees that makes the equation cot (x) = 0 true.
Answers
It is given that,
cot (x) = 0
To find the smallest non-negative value for x in degrees:
So that,
[tex]\begin{gathered} \cot (x)=0 \\ \cot (x)=\cot (90^{\circ}) \\ x=90^{\circ} \end{gathered}[/tex]Hence, the smallest value of x is 90 degrees.
which statement describes the sequence -9,-3,3,9,15,
Answers
This sequence can be represented by the following formula:
an = 3(2n - 5)
n ∈ N
Answer the questions below.(a)The 10 members of the swim team completed the following numbers of laps at today's practice: 78,79,81,82,84,85,86,87,88,89.Which measure should be used to summarize the data?MeanMedianMode(b)A car dealer has used cars for sale for the following amounts: $3400,$3600,$3700,$3800,$3900,$4000,$4100,$4300,$7600.Which measure should be used to summarize the data?MeanMedianMode(c)A data set shows the age of each resident at Lakeview Retirement Home.Which measure gives the age shared by the most residents?MeanMedianMode
Answers
Answer
Explanation
(a) The first step is to arrange the numbers of laps in ascending order:
78, 79, 81, 82, 84, 85, 86, 87, 88, 89.
Issaiah Jones Unit Rate, Reasoning Down Dec 06, 7:36:45 PM Watch help video HII Julian earned $437.00 at his job when he worked for 19 hour he earn each hour
Answers
EXPLANATION
Let's see the facts:
Julian Earns--> $437.00
Worked--> 19 hours
Unit rate=
[tex]Unit_{}-rate=\frac{437\text{ dollars}}{19\text{ hours}}=23\text{ \$/h}[/tex]john wants to purchase a boat that costs $1,500. He signs an installment agreement requiring a 20% down payment. How much will john need for the down payment
Answers
Answer:
$300 down payment
Step-by-step explanation:
John wants to purchase a boat that costs $1,500. He signs an installment agreement requiring a 20% down payment. How much will john need for the down payment
20% = 0.20
0.20 * 1,500 = $300 down payment
#5There are 357 students at Rydell MiddleSchool. The students were asked to choosetheir favorite class. Of the 21 students inHomeroom A, 8 students chose CSI as theirfavorite. Based on these results, how manyof the students in Rydell Middle Schoolwould you expect to choose CSI as theirfavorite class?
Answers
We could write the following proportion and then solve for x:
Therefore, we could expect that 136 students chose CSI as their favorite class in Rydell Middle School.
Rachel is bowling with her friends. Her bowling ball has a radius of 4.1 inches. As she bowls she tracks the location of the finger hole above the ground. She starts tracking the location when the finger hole is at the 12 o'clock position and she notices that she got some backspin on the ball and it rotates counter-clockwise.Write a function f that determines the height of the finger hole above the ground (in inches) in terms of the number of radians a the ball has rotated since she started tracking the finger hole. (Note that aa is a number of radians swept out from the 12-o'clock position.)f(a)=
Answers
Given that radius is r= 4.1 inches.
let track the location of finger hole is at 12 o'clock.
i.e. the angle is 0 degree.
at 12 o'clock
[tex]\theta=0[/tex]Now when the finger hole changed by 45 degree:
[tex]\theta=45[/tex]Now convert 45 degree into radians:
[tex]\begin{gathered} \theta=45\times\frac{\pi}{180} \\ \theta=\frac{\pi}{4} \end{gathered}[/tex]So angle is such that:
[tex]\begin{gathered} \theta\in\lbrack0,\frac{\pi}{4}\rbrack \\ 0\leq\theta\leq\frac{\pi}{4} \end{gathered}[/tex]Now calculate the measure of function in polar coordinates:
[tex]\begin{gathered} \theta=0,\text{ f(}\theta\text{)}=r \\ \theta=\frac{\pi}{2},\text{ f(}\theta)=r\cos \theta \end{gathered}[/tex]Taking measurement of function:
[tex]\begin{gathered} f(\theta)=r+r\cos \theta \\ f(\theta)=r(1+\cos \theta) \end{gathered}[/tex]So the function become and the limit is:
[tex]f(\theta)=r(1+\cos \theta),\text{ 0}\leq\theta\leq\frac{\pi}{4}[/tex]equation or special characters
Answers
Inverse table.
- What undoes sine?
writen as:
[tex]\sin ^{-1}[/tex]called: inverse sine
also called: arcsine
- What undoes cosine?
written as
[tex]\cos ^{-1}[/tex]called: inverse cosine
also called: arccosine
- What undoes tangent?
written as
[tex]\tan ^{-1}[/tex]called: inverse tangent
also called: arctangent
Table of sine, cosine, tangent for 30, 45 and 60 degrees.
Graph the following relation. Use the graph to find the domain and range (in interval form) and indicate whether the graph is the graph of a function.y=1/2x-4Domain:Range:Is it a function? Yes or no pick the correct one
Answers
EXPLANATION :
From the problem, we have a linear function :
[tex]y=\frac{1}{2}x-4[/tex]We need 2 points to graph this function.
when x = 0 :
[tex]\begin{gathered} y=\frac{1}{2}(0)-4 \\ y=-4 \end{gathered}[/tex]when x = 2
[tex]\begin{gathered} y=\frac{1}{2}(2)-4 \\ y=-3 \end{gathered}[/tex]Plot the points (0, -4) and (2, -3)
Since the function is a continuous line, the domain and range are all real numbers.
Domain = (-∞, ∞)
Range = (-∞, ∞)
and since the graph is a line with a defined slope, this is a function
The initial balance of a savings account was $676. After which transactions will the balance of the savings account be the same as the initial balance? A. A withdrawal of $45, followed by a withdrawal of $45 Vocabulary Box: B. A deposit of $36, followed by a withdrawal of $36 Initial balance: starting amount ($$) C. A withdrawal of $67, followed by a deposit of $45 Transactions: deposits or withdrawals D. A deposit of $168, followed by a deposit of $168 Deposit: Put money in (+) please help
Answers
ANSWER
B
EXPLANATION
The intial balance of the savings account was $676.
Let us check the options A to D to see which of them is going to leave the same amount as the initial amount.
A. A withdrawal of $5 followed by a withdrawal of $45.
A withdrawal means money was taken so, the final balance will be:
$(676 - 45 - 45)
= $586
The final is not the same as the initial.
B. A deposit of $36, followed by a withdrawal of $36.
A deposit means money was added to the account, so the final balance is:
$(676 + 36 - 36)
= $676
The final amount is the same as the initial.
C. A withdrawal of $67, followed by a deposit of $45.
So, the final balance will be:
$(676 - 67 + 45)
= $654
The final amount is not the same as the initial.
D. A deposit of $168, followed by a deposit of $168.
So, the final balance will be:
$(676 + 168 + 168)
= $340
The final amount is not the same as the initial.
So, the correct choice is B because the final amount is the same as the initial amount