Part A: The length (number of hours) of each CD is 0.875 hours.
Part B: The Hernandez family can listen each for 0.875 hours
Given that,
The Hernandez family is on a road trip. They have been driving for 3 1/2 hours. They have listened to 4 CDs of equal length.
What is an equation?
An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Part A
Let the length (number of hours) of each CD be x.
Now, x = 7/2 = 3.5/4 = 0.875
= 0.875 hours
Part B
If the family has 1 hour of their drive left, still they can listen 4 CDs.
Therefore, the Hernandez family can listen each for 0.875 hours.
Learn more about Equations at:
https://brainly.com/question/14686792
#SPJ1
Please answer the 5 questions and number them when you have answered them
Will mark branliest
The amount paid each month is, $503.75
What is monthly payment?
The monthly payment is the sum paid each month to cover the loan's outstanding balance over its term. When a loan is obtained, not only the principal, or the sum that was initially lent, but also the interest accrued, must be repaid.
1) As the discount is 7%.
So he pays, 100 - 7 = 93% of the car value
Now, 93% x 6500 = 6045.
This is the value for one year.
From this we have to find the amount paid for each month.
6045/12 = $503.75
Hence, the amount paid for each month is $503.75.
2) Let, the value of Zlatan's house is $749000 after a increase in the value of house.
So, the total percentage increase price is 107% (100 + 7).
We have to fine the initial value of the house.
So,
Initial value of the house = New value of the house / total percentage increase
= 749000/107%
Initial value of the house = $700000
Hence, the initial value of the house is $700000.
3) Assume that Carol's initial weekly wage be $x.
There is 10% decrease in weekly wage.
So,
10% weekly wage = 10% of x = 0.1x
Here,
New wage after 10% decrease = initial weekly wage - 10% of x.
= x - 0.1x
= 0.9x
As given the new weekly wage is $306.
We equate $306 and 0.9x.
So
0.9x = 306
x = 340
Therefore, the initial weekly wages are $340.
Now to find weekly wage when there is 10% increase.
10% of initial weekly wage = (10/100) x 340 = 34
Hence, Wage after 10 % increase = 340 + 34 = $374
4) Let $2000 is placed into a bank account that pays 3% compound interest per year.
We have to find the amount after two years.
Here, P = $2000, r = 3% = 0.03, n = 2
Amount = P(1 + r)^n = 2000(1 + 0.03)^2 = 2000(1.03)^2 = 2121.80
Hence, $2121.80 will be in the account after 2 years.
5) Let Mary invests $12000 in a savings account. The account pays 1.5% compound interest per year.
We have to find the value after two years.
Here, P = $12000, r = 1.5%, n = 2
So,
Amount = P(1 + r)^n = 12000(1 + 0.015)^2 = 12000(1.015)^2 = 12362.70
Hence, $12362.70 is the value of her investment after 2 years.
To know more about the monthly payment, click on the link
https://brainly.com/question/2151013
#SPJ1
an aquarium has 14 seals, 22 penguins and 4 sea turtles. what is the ratio of sea turtles to seals? remember to reduce your ratio to the smallest numbers possible. report an error 14:22 11:7 14:4 2:7 22:14
Answer:
2:7
Step-by-step explanation:
4 sea turtles:14 seals = 2 sea turtles:7seals
Whiskers the cat weighs kilograms. Pigliothe cat weighs 4 kilograms.2 2 3 How many times as heavy as Piglio is Whiskers?
The number of times that Piglio is as heavy as Whiskers is 1.5 times.
What is weight?Weight simply means the mass the contained in the body.
Based on the information illustrated, Pigliothe cat weighs 4 kilograms. Also, Whiskers weight 2 2/3 kilograms.
Therefore, the number of times will be calculated thus:
= 4 ÷ 2 2/3
= 4 ÷ 8/3
= 4 × 3/8
= 3/2
= 1.5
It is 1.5 times heavier.
Learn more about weight on:
brainly.com/question/2337612
#SPJ1
Whats an equivalent fraction to 2/3?
Answer: 16/24
Step-by-step explanation:
trust me
the ucl and lcl for an chart are 25 and 15 respectively. the central line is 20, and the process variability is considered to be in statistical control. the results of the next six sample means are 18, 23, 17, 21, 24, and 16. what should you do? group of answer choices explore the assignable causes because the second, fourth, and fifth samples are above the mean. explore the assignable causes because there is a run. explore the assignable causes because there is a trend. nothing; the process is in control.
19.8 The process is in control as no point is outside the upper or lower control limit.
What does a math centerline mean?
Simply put, the centerline is the midpoint of the vertical y-distance between the maximum and minimum y-values. In other words, the centerline would be at y = 0 if y = A sinx, amplitude = 1, maximum y = 1, minimum y = 1, and maximum amplitude = 1.The data for the next six means is 18, 23, 17, 21, 24, and 16.
The central line is k = 20
Generally the mean of the next six mean is mathematically represented as
C = 18 + 23 + 17 + 21 + 24 + 16/6
C = 19.8
Learn more about Centerline
brainly.com/question/9495157
#SPJ4
Apply what you know about rates from mathematics to a problem involving water consumption. An aquifer holds 146,000 cubic feet of water. Water exits through a well at a steady rate of 500 cubic feet per day, and the aquifer is replenished at a constant rate of x cubic feet per day. If the water in the aquifer is used up in a year (365 days), what is the value of x? ignore evaporation and other losses.
The value of x found by expressing the information as an equation is 100
What is an equation?An equation is a statement usually made using mathematical symbols, numbers and variables, that consists of joining two expressions with an 'equals' sign.
The volume of water in the aquifer = 146,000 ft³
The rate at which water exits the aquifer daily = 500 ft³ per day
Rate at which the aquifer is replenished = x ft³ per day
The time it takes the water to be used up = 1 year
The number of days in a year = 365 days
The value of x can be found by expressing the information as an equation as follows;
The sum of the volume of water in the aquifer and the volume of water that replenishes the aquifer in a year, less the water that exits the aquifer in a year is zero, therefore;
Water in the aquifer; 146,000 - 500 × 365 + x × 365 = 0
-36500 + 365·x = 0
365·x = 36500
x = 36500 ÷ 365 = 100
x = 100
The value of x is 100
The water is replenished at 100 cubic feet per day
Learn more about writing equations in algebra here:
https://brainly.com/question/14214330
#SPJ1
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
At the end of 6 years, Erica will owe a total sum ( principal and interest ) of $8,551.56.
What is the total amount that Erica owes at the end of six years?The compound interest formula is expressed as;
A = P( 1 + r/n )^(nt)
Where A is accrued amount, p is principal, r is annual interest rate and t is time.
Given the data in the question;
Principal P = $5300Interest rate r = 8%Compounded monthly n = 12Time t = 6 yearsAccrued amount A = ?First, convert the rate from percent to decimal.
Interest rate r = 8%
Interest rate r = 8/100
Interest rate r = 0.08
Now, plug the given values into the compound interest formula and solve for A.
A = P( 1 + r/n )^(nt)
A = 5300( 1 + 0.08/12 )^(12 × 6)
A = 5300( 1 + 0.08/12 )⁷²
A = $8,551.56
Therefore, the accrued amount after 6 years to the nearest cent is $8,551.56.
Learn more about compound interest here: https://brainly.com/question/27589784
#SPJ1
(a² +__+1)-(__a² +5a +__ = 4a²-2a +7
Answer:
(a^2+3a+1) -(3a^2+5a+(-6)) =4a^2-2a+7
Step-by-step explanation:
So, first of all, we can look at the equation and separate them based on the power of each number, and sense we are subtracting, we need to distribute the negative sign all across the second set of numbers.
So, for a^2 we have
a^2-(x) =4a^2
If we subtract a^2 on each side, we get
-(x) =3a^2 but since we don't want a negative, we divide each side by -1 which gives us that the mystery value must equal -3.
x=3a^2
Next, we got to take the second set of like terms
(x)-5a=-2a
We got to add 5a on each side which gives us
x=3a
Finally, we take the last set of like terms
1+-(x) =7
we subtract one from each side to get
-(x) =6
We don't want x to be negative therefore we divide each side by -1 so it will end out
x=-6
a group contains 6 men and 5 women. find the number of ways to select a committee with 3 men and 3 women.
The number of ways to select a committee with 3 men and 3 women is 200.
We have a group. The number of men in the group is 6. The number of women in the group is 5. We need to find out the number of ways to select a committee with 3 men and 3 women.
We will use the concepts of permutations and combinations. The number of ways to select 3 men out of 6 men is 6C3 = 20. The number of ways to select 3 women out of 5 women is 5C3 = 10. The total number of ways to form the committee that consists of 3 men and 3 women is the product of the above-mentioned calculation.
N = 20*10
N = 200
Hence, the number of ways to select a committee with 3 men and 3 women is 200.
To learn more about numbers, visit :
https://brainly.com/question/17429689
#SPJ4
A firm has a machine it can sell for $50,000. The book value of the machine is $20,000 at the moment. If the firm sells the machine today, what is the tax implication from the sale? assume that the tax rate is 40%.
The tax implication is 12000.
What is tax implication?
The tax implications are that you file a tax return and may be taxed on profits, if they exceed your expenses by the amount allowed by law.
Given,
the machine can be sell for 50,000
the book value is 20,000
tax implication = (50,000-20,000)*40%
=30000*40/100
= 12000
As there is capital gain, which means the company will have to pay taxes of 12,000. So, this is a liability of 12,000 which means the answer is = -12,000.00
To know more about tax implication, visit:
https://brainly.com/question/19595236
#SPJ4
A STOCK YOU ARE
WATCHING IS TRADING AT
$73.84 PER SHARE TODAY.
YESTERDAY, IT WAS
TRADING AT $72.14.
(percent change)
Take the difference between the starting value and the final value to determine the percent change.Subtract the beginning value from its absolute value.Add 100 to the result.
How do you find a percent change?First, figure out how much the two numbers you are comparing differ (rise).After that, multiply the result by 100 and divide the increase by the original number.% growth is calculated as Growth divided by 100.Your response is a percentage decrease if it is a negative amount.
Initial cost = $73.84
Final cost = $72.14
Then
Amount of change = (73.84- 72.14) dollars
= 1.7dollars
Then
Percentage change = (1.7/72.14) * 100
= 170/72.14 percent
= 2.35 percent
So from the above deduction we can easily conclude that the percentage change is 2.35%. I hope the procedure is simple enough for you to easily understand. You can generally use this method for solving similar kind of problems in future without requiring any kind of help from outside.
To learn more about percent change refer
https://brainly.com/question/953380
#SPJ13
Victoria bought a silver necklace for $325. She was charged a 5% delivery charge. What was her total cost for the necklace? How much more was she charged for the delivery charge?
Answer:
Adjusted Price with delivery: $341.25
Delivery Cost: $16.25
Step-by-step explanation:
Original Price: $325
Adjusted Price with delivery: $341.25 ($325 + $16.25)
Delivery Cost: $16.25
10% of $325 = $32.50
5% of $325 = $16.25 ($32.50 / 2)
Answer:
so.if u have 5% for delivery you can take it away from the 325 and solve the problem
7. 5
2. Debt payment of $700 in two month and $800 in five month are cheduled to
be due. If interet at 8. 3% i allowed, what ingle payment today i required to ettle
the two cheduled payment?
$1,722.40 is required to settle the two scheduled payment.
Step 1 Figure out how much interest for 1 month for the $700.00 for 2 months loan = $37.20
Step 2 Then multiple that by 2 = 2*37.20
= $74.40
Step 3 Add $600.00 and $74.40 together = 600 + 74.40
= $674.40
Step 4 Figure out how much interest for 1 month of the $800 for 5 months loan = $49.60
Step 5 Then multiply that by 5 = 5*49.60
= $248.00
Step 6 Add $800.00 and $248.00 together = 800 + 248.00
= $1,048.00
Step 7 Add both $674.40 and $1,048.00 together = 674.40 + 1048.00
= 1,722.40
To learn more about payment here:
https://brainly.com/question/2591679
#SPJ4
A farm lets you pick 3 pints of raspberries for $12.00. What is the cost per pint?
Answer:
$4
Step-by-step explanation:
Answer:
$4 per pint
Step-by-step explanation:
12 divided by 3 is 4
4$ per pint
Hopes this helps please mark brainliest
How do you find the mean absolute deviation step by step?.
To find the mean absolute deviation it contains four steps.
The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us a thought almost the variability in a dataset. Here's how to calculate the mean supreme deviation. Step one includes to Calculate the mean, next Step 2 is Calculate how far away each information point is from the mean using positive distances, which are also called absolute deviations, next Step 3 includes to Add those deviations together and the last Step 4 is Divide the whole by the number of data points. The formula for it is :
MAD= ∑∣x(i)−x' / n, where n is the number of data points, x(i) is the individual data and x' is the mean
To know more about mean absolute deviation refer to the link https://brainly.com/question/10528201?referrer=searchResults.
#SPJ4
3) Abigail makes a sale of 900.00 naira in a day and Lola makes a sale 720.00 naira what is the ratio of Abigail's sales to Lola's sales??
Oliver ave 10% of hi weekly earning for living expene. He uually make $520 each week. Thi week he made 10% more. Oliver incorrectly claim that he ha $520 left for pending money thi week
You can calculate the 10% of the usual amount and then add it to the usual amount to get this week's salary and then can subtract the new amount's 10% to get the expense.
Oliver is left with $514.8
How to get a percentage of some amount?
You just multiply that amount by the value of percent and divide by 100. Thus, if you want to calculate 20% of 200, then it is calculated by:
How to calculate the amount Oliver is left with?
His usual salary = $520 per week
He earned this week = Usual salary + 10% of usual salary
10% of the usual salary = $520 × (10/100)=$52
Thus, earning this week = $520 + $52 = $572
Amount spent = 10% of this week =
Thus, the left amount is calculated by:
Left amount = Salary this week- the amount spent
Left amount = $572 - $57.2 = $514.8
Thus, Oliver is left with $514.8
Learn more about percentages here:
brainly.com/question/12722149
#SPJ4
Jacob wants to buy a $500,000 15-year term life policy, and the annual premium rate (per $1000 of face value) for his age group is $6. 78. If jacob lives until the end of the term of his policy, how much will jacob have paid in premiums overall? a. $101,700 b. $3,390 c. $50,850 d. $73,746 please select the best answer from the choices provided a b c d.
Jacob lives until the end of the term of his policy, jacob have paid in premiums overall will be 50850
Jacob wants to buy a $500,000 15-year term life policy, and the annual premium rate (per $1000 of face value) for his age group is $6. 78.
Number of 1000 in 500000 is 500000/1000 = 500
the annual premium rate (per $1000 of face value) for his age group is $6. 78.
Total premium is 500 x 6.78 = 3390
The premiun per year is 3390
For 15 years, the total premium is
15 x 3390 = 50850
Therefore, jacob lives until the end of the term of his policy, jacob have paid in premiums overall will be 50850
To learn more about face value refer here
https://brainly.com/question/27979865
#SPJ4
For a lower tail test, the p-value is the probability of obtaining a value for the test statistic at least as.
For a lower tail test, the p-value is the probability of obtaining a value for the test statistic at least as small as that provided by the sample
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.
To learn more about the probability from the given link
https://brainly.com/question/24756209
#SPJ4
Samuel has $560 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $303.02.
He buys 2 bicycle reflectors for $3.53 each and a pair of bike gloves for $28.12.
He plans to spend some or all of the money he has left to buy new biking outfits for $55.45 each.
Use the drop-down menu below to write an inequality representing o, the number of outfits he can buy while staying within his budget.
Answer:
4 outfits
Step-by-step explanation:
560-303.02-3.53-28.12=225.33
225.33 -55.45x4=$3.53 remaining
he can buy 4 outfits for $55.45 each
a store sells coffee beans for $8 per bag. if a bag contains 5 lbs., find the cost of coffee beans per pound.
A. $1.63
B. $0.63
C. $1.60
D. $4.00
Answer: C. 1.6
Step-by-step explanation:
$8 per 5lb bag
8 / 5 = 1.6
CHECK:
1.6 x 5= 8
Answer: c 1.60
Step-by-step explanation:
The probability of snow on Tuesday is 0.3 and on Wednesday is 0.4. Assuming these are independent, what is the probability that: It snows on both days. It does not snow on Tuesday. It snows on Tuesday, but not Wednesday. It snows on at least one of these days. It does not snow on either day.
The probability that it snows on at least one of these days. which is the correct answer would be an option (C).
The probability of snow on Tuesday is 0.3 and on Wednesday is 0.4.
The events are independent which is given in the question.
This means it does not affect the probability of another event.
(0.7)(0.6) ⇒ 70% chance it doesn't snow on Tuesday and 60% chance it snow on Wednesday
(0.3)(0.6) ⇒ 30% chance it snow on Tuesday and a 30% chance it doesn't snow on Wednesday
(0.3)(0.4) = chance it snow on both days
Add them all up
(0.7)(0.6) + (0.3)(0.6) + (0.3)(0.4) = 0.72 chance it snow on either day.
Therefore, the probability that it snows on at least one of these days.
Learn more about the Independent Events here:
https://brainly.in/question/4042290
#SPJ1
According to an architect's design, the new rectangle stables (housing for horses) will have total dimensions of 30 yards by 10 yards. The design includes a walkway between the stables where no horses can stay. The walkway will take up 45 yards ^ 2 Each horse requires a minimum of 12yards ^ 2. How many horses at most can live in the stables?
The horses at most can live in the stables is 21
What Does the Area of a Rectangle Mean?
The area is the amount of space occupied by a flat surface with a particular shape. A "number of" square units are used in the calculation (square centimeters, square inches, square feet, etc.) An area is the number of unit squares that can fit inside a rectangle. Examples of rectangular shapes include the flat surfaces of laptop monitors, blackboards, painting canvases, etc. Use the area formula for the rectangle to calculate the area that these objects take up. Think about a rectangle that is 4 inches long and 3 inches wide, for example.
Given That
Rectangle Stables will have total dimensions of 30 yards by 10 yards
Length = 30 yards
Breath = 10 yards
Total Area of stables = Length x Breath
= 30 x 10 = 300 [tex]yard^{2}[/tex]
Area of walkway = 45 [tex]yard^{2}[/tex]
Hence area of horses will be = 300 - 45 = 255 [tex]yard^{2}[/tex]
Now 1 horse occupy = 12 [tex]yard^{2}[/tex]
so 255 [tex]yard^{2}[/tex] can have = [tex]\frac{255}{12}=21[/tex] horses
Hence the Answer is 21 Horses
To learn more about area visit:
brainly.com/question/27683633
#SPJ13
whats the perfect square less than the number 47
whats the perfect square greater than the number 47
whats the perfect square number closer to 47
Answer:
Perfect square less than number 47 : 36
Perfect square greater than number 47 : 49
Perect square number closer to 47 : 49
Step-by-step explanation:
The perfect square which is less than 47 is 36 ; 6 x 6 = 36.
The perfect square which is greater than 47 is 49 ; 7 x 7 = 49.
The perfect square number closer to 47 is 49 ; 47 - 36 = 11, 49 - 47 = 2
2 is less than 11 so we know that 49 is the perfect square number closer to 47.
qweschion: what are the factors for 60
Explanation: HELP IM IN CLAS AS WE SPEEK!
Answer:are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
In △rst, ​vt=60 in.​ what is the length of tx¯¯¯¯¯? enter your answer in the box. in.
The box TX measures is 40 inches.
What is the median in a triangle?
A line segment that joins a vertex to the mid-point of the side that is opposite to that vertex
The interception point is a barycenter because it's formed by the medians of the triangle. We deduct that those three lines are medians because they divide each side in half.
So, from the interception of these three medians we deduct:
TX=2 XV
XV=TX/2
But, we know VT=60
Also, by the sum of segments: VT=TX+XV
60=TX+(TX/2)
(3 TX/2)=60
TX=120/3=40
Therefore, TX measures 40 inches.
To learn more about the median from the given link
https://brainly.com/question/2288141
#SPJ4
How many units are in beginning inventory if 30,000 units are budgeted for sales, 35,000 units are produced, and the desired ending inventory is 5,000 units?.
The beginning inventory are 0 units, according to the given question.
What do you mean by units?
A unit of measurement is a specific magnitude of a quantity that has been established and recognized by law or convention and is used as a benchmark for measuring other quantities of the same kind. A multiple of the unit of measurement can be used to express any other quantity of that type. A length, for instance, is a physical quantity.
According to the given question,
We have:
Units are budgeted for sales = 30,000
Units are produced = 35,000
Units of desired ending inventory = 5,000
The beginning inventory units are calculated below as:
We know that,
Number of units produced = Budgeted units sold + ending inventory units - beginning inventory units
35,000 units = 30,000 units + 5,000 units - Beginning inventory units
35,000 units = 35,000 units - Beginning inventory units
Beginning inventory units = 35,000 units - 35,000 units
= 0 units
Therefore, the beginning inventory are 0 units.
To learn more about units, visit:
https://brainly.com/question/19244145?referrer=searchResults
#SPJ4
What is the solution to this system of linear equations 2x 3y 37x 3y 24?.
The solution to the system of linear equations is (3, -1).
What is a linear equation ?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. . The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
2x + 3y = 3
7x - 3y = 24
By adding both the linear equations,
9x = 27
x = 27/9 = 3
x = 3
Substitute the value of x in either of the equations
2 (3) + 3y = 3
6 + 3y = 3
3y = -3
y=-1
Therefore, the solution to the system of linear equations is (3, -1).
Learn more about linear equation here;
https://brainly.com/question/2030026
#SPJ4
Which of the following is NOT a factor for the expression 6x^2+4x-10?
A) (2)
B) (x-1)
C) (x+1)
D) (3x+5)
Answer:
c
Step-by-step explanation:
The expression would be 2(3x+5)(x-1) and (x+1) is not in that expression
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $4 and each adult ticket sells for $8. The auditorium can
hold no more than 100 people. The drama tub must make at least $560 from ticket
sales to cover the show's costs. If z represents the number of student tickets sold and
y represents the number of adult tickets sold, write and solve a system of inequalities
graphically and determine one possible solution.
Answer:
I cant give you the euestion because you have to learn how to do this but if you take the totals and put them in a equation and the loss numbers as the equal sign you should have to equations and you can solve from there
Step-by-step explanation:
