Lena Horn bought a Toyota Tundra on January 1 for $21,500 with an estimated life of 4 years. The residual value of the truck is $4,300. Assume a straight-line method of depreciation.
a. What will be the book value of the truck at the end of year 4?
b. If the Tundra was bought the first year on April 12, how much depreciation would be taken the first year?
Answers
If Lena Horn bought a Toyota Tundra on January 1 for $21,500 with an estimated life of 4 years. the book value of the truck at the end of year 4 is $4,300 and the First year depreciation is $3,225.
How to find the book value?a. Depreciation expense per year
Depreciation expense per year =$21,500 - $4,300 /4 years
Depreciation expense per year =$4,300
Book value =Cost - Accumulated depreciation
Book value = $21,500 -($4,300 ×4 years)
Book value = $21,500 - $17,200
Book value =$4,300
b. Depreciation for the first year
First year depreciation = $4,300 × 9/12
First year depreciation = $3,225
Therefore the book value of the truck at the end of year 4 is $4,300 and the First year depreciation is $3,225.
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Related Questions
1 7/8 x 10/7 x 4 I need help answering this its confusing
Answers
Answer: 75/7
Step-by-step explanation:
Concept:
Multiplication in fraction is the numerator times numerator and denominator times denominator, and if possible, you can simplify the numerator and denominator by eliminating common factor.
Solve:
1 7/8= 15/8
1 7/8 × 10/7 × 4
=15/8 × 10/7 × 4
=150/56 × 4
=600/56
=75/7HELP MEEEE PLEASEEEE, 20 POINTS!!!!
Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.
You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).
The card is a heart or a spade.
The probability expressed as a fraction is ___
The probability expressed as a decimal is ___
The probability expressed as a percent is ___
Answers
Answer:
Enter each answer as a fraction in simplest form, as a decimal, and as a percent. You draw one card at random from a shuffled deck of 52 playing ...
-by-step explanation:
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.
If all other factors are held constant,which of the following would produce the smallest width for aconfidence interval for µ?
A.
an 80% confidence interval based on a sample of n = 25
B.
a 90% confidence interval based on a sample of n = 25
C.
an 80% confidence interval based on a sample of n = 100
D.
a 90% confidence interval based on a sample of n = 100
Answers
The option that produces the smallest width for a confidence interval for µ is; D. a 90% confidence interval based on a sample of n = 100
How to find the confidence Interval?The formula for the confidence interval is;
CI = x' ± z(s/√n)
where;
x' is mean
s is standard deviation
n is sample size
Now, It is pertinent to note that the higher the confidence level, the higher the z-score and as such the larger the width of confidence interval for µ.
Similarly, the higher the sample size, the lesser the margin of error and in turn the smaller the width.
Thus, a confidence level of 90% and a sample size of 100 from the given options will be concluded to be the one that produces the smallest width for a confidence interval for µ.
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Select from the drop-down menus to correctly complete the statement.
The expressions 3.22−1 and 10−0.33⋅2 should be joined by
Choose...
to form an
Choose...
.WHOEVER ANSWERS I"LL GIVE BRAINLEST
Answers
Hello.
The answer to this question is Is not equal
because, 3.22 - 1 is 2.22.
And 10-0.33 ⋅ 2 is 9.34,
so the answer Is not equal.
Find all values of m for which the equation has two real solutions.
3x² + 7x - (m + 1) = 0
Answers
Answer:
m > - 5 1/12----------------------
Given is the quadratic equation.
A quadratic equation has two real solutions if the discriminant is positive.
Set inequality and solve for m:D = b² - 4ac, where a = 3, b = 7, c = - (m + 1)D = 7² + 4*3*(m + 1) 7² + 4*3*(m + 1) > 049 + 12m + 12 > 012m + 61 > 012m > - 61m > - 61/12 m > - 5 1/12solve 3(x+4)-11=28 please
Answers
Answer:
\(\huge\boxed{\sf x = 9}\)
Step-by-step explanation:
Given equation:3(x + 4) - 11 = 28
Add 28 to both sides3(x + 4) = 28 + 11
3(x + 4) = 39
Distribute3x + 12 = 39
Subtract 12 from both sides3x = 39 - 12
3x = 27
Divide both sides by 3x = 27/3
x = 9\(\rule[225]{225}{2}\)
The correct mix for a batch of concrete is 6:3:2 in terms of sand, gravel and cement. The batch is to have 3300 pounds of these ingredients. How many of each are needed?
pounds of sand
pounds of gravel
pounds of cement
Answers
Answer:
1,800 lbs of sand
900 lbs of gravel
600 lbs of cement
Step-by-step explanation: 11*300=3,300. 300*6=1,800, 300*3=900, and 300*2=600. This is correct because if you add 1,800+900+600 you get 3,300.
Freddy read 50% of his book. Express this percent as a fraction in simplest form and as a decimal.
Fraction:
Decimal:
Answers
Answer:
1/2
.50
Step-by-step explanation:
decimal: 1/2
Find the missing term in each sequence
Answers
Answer:
The answer would be 58.32.
Step-by-step explanation:
Good luck ^___^ .
Does anyone know how to solve this with steps?
Find the savings plan balance after 19 months with an APR of 11% and monthly payments of $250.
Answers
To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.
The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.
The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.
$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:
$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow
A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow
A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$
Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).
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If f(x)=(x−5)3+kf(x)=(x−5)3+k, where kk is positive, what is the effect on the graph of f(x)f(x)as k increases?
Answers
As k increases, the graph of f(x) will shift upwards by k units which means Option (2) is the correct answer.
Define the term "graph" ?
In mathematics, a graph is a visual representation of a set of points, often called vertices, that are connected by lines or curves, often called edges or arcs.
The function \(f(x) = (x - 5)^3 + k\) is a cubic function with a vertical shift of k units upwards. The graph of a cubic function is a curve that can have a variety of shapes, including a "hump" shape or a "S" shape, depending on the values of its coefficients.
As k increases, the graph of f(x) will shift upwards by k units. This means that the minimum point of the graph will move higher and higher, while the shape of the curve remains the same. Specifically, the graph will be shifted vertically upwards by k units, and the y-intercept of the curve will be (0,k), instead of (0,0).
If k is very large, the graph of f(x) will approach a vertical line, as the upward shift will dominate the shape of the curve. Conversely, if k is very small, the upward shift will be negligible, and the graph of f(x) will resemble the graph of the basic cubic function y = x^3, with its minimum point at (5, 0).
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help with math homework?
Answers
Answer:
The range of the curve is \([-9,9]\).
Step-by-step explanation:
The domain of the curve corresponds to the values on horizontal axis (x-Axis), where the range of curve corresponds to the values on vertical axis (y-Axis). In addition, the curve is continuous in \((-5, 8)\), so that images exists within interval.
The range of the curve is \([-9,9]\).
if in a game of glass stepping stones. there are 18 tiles of glass. two in each row. one is tempered and will be fine if you jump on it. and the other will break. if 1 player was to play what are his/her chances of getting across?
(NO links)
Answers
Answer:
10
Step-by-step explanation:
Tlana grew 504 plants with 28 seed packets. How many seed packets does Tlana need to
have a total of 882 plants in her backyard?
Answers
18 plants come from each seed packet.
28 seed packets grew 504 plants.
Because 28 Multiplied by 18 = 504.
Then I made a few estimates and got 864 with 48 packets then tried 49 packets and got 882.
Hope this helped!
For any positive integer n, the value of n! is the product of the first n positive integers. For example, 4! = 4 * 3 * 2 * 1 =24. What is the greatest common divisor of 5! and 7! ?
Answers
The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.
the greatest common divisor of 5! and 7! is 120.
To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.
First, let's calculate the values of 5! and 7!:
5! = 5 * 4 * 3 * 2 * 1 = 120
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040
Now, let's factorize both numbers:
Factorizing 120:
120 = 2^3 * 3 * 5
Factorizing 5,040:
5,040 = 2^4 * 3^2 * 5 * 7
To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).
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What is the percent decrease from 61 to 11?
Answers
Let v be the vector from initial point P₁ to terminal point P2. Write v in terms of i and j.
P₁ = (-5,3), P₂ = (-2,6)
V=
(Type your answer in terms of i and j.)
Answers
The value of v in terms of i and j is v = 3i + 3j
We are given that;
P₁ = (-5,3), P₂ = (-2,6)
Now,
To find the component form of a vector, we need to subtract the coordinates of the initial point from the coordinates of the terminal point3.
We have P₁ = (-5,3) and P₂ = (-2,6).
v = P₂ - P₁ = (-2 - (-5), 6 - 3) = (3, 3). We can write v in terms of i and j as v = 3i + 3j.
Therefore, by vectors the answer will be v = 3i + 3j.
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A game card handed out at a grocery store states the probabilities of winning a prize: 0.2 for $10, 0.1 for $5, and 0.7 for $0. What is the probability of winning any amount of money?
Answers
Answer:
Step-by-step explanation:
To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.
Given the probabilities stated on the game card:
Probability of winning $10 prize = 0.2
Probability of winning $5 prize = 0.1
Probability of winning $0 prize = 0.7
To find the probability of winning any amount of money, we add these probabilities together:
0.2 + 0.1 + 0.7 = 1
The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.
Therefore, the probability of winning any amount of money in this game is 100%.
Hope this answer your question
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mark me ask Brainliest it helps a lot
The box plot below represents some data set. What percentage of the data values are between 110 and 170?
Answers
The percentage of the data values are between 110 and 170 = 37.5%
We know that in the box plot, the first quartile is nothing but 25% from smallest to largest of data values.
The second quartile is nothing but between 25.1% and 50% (i.e., till median)
The third quartile: 51% to 75% (above the median)
And the fourth quartile: 25% of largest numbers.
In the attached box plot, we can observe that between two numbers on the number line there are 5 equal parts.
So, each unit length measures 10 units.
Also, the median of the data = 110
We need to find the percentage of the data values are between 110 and 170.
i.e., the percentage of the data values are in the third quartile.
The range of this box plot is: 190 - 30 = 160
The data values are between 110 and 170 = 60
Using percentage formula,
P = (60/160) × 100
P = 37.5%
This is the required percentage.
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Find the complete question below.
How do you complete the square for this problem ? (if you just explain to me how to complete the square of a trinomial it would be gladly appreciated)
a^2 + 2a - 3
a^2 - 2a - 8
p^2 + 16p - 22
Answers
The complete square of the a² + 2a - 3 = 0,a² - 2a - 8 = 0 and p² + 16p - 22 = 0 are (a + 1)² - 4 = 0,(a - 1)² - 9 = 0 and (p + 8)² - 86 = 0 respectively.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
As per the given trinomial,
a² + 2a - 3 = 0
a² + 2a = 3
Add 1 on both sides,
a² + 2a + 1 = 3 + 1
(a + 1)² = 4
(a + 1)² - 4 = 0
As per the given trinomial,
a² - 2a - 8 = 0
a² - 2a = 8
Add 1 on both sides,
a² - 2a + 1 = 8 + 1
(a - 1)² = 9
(a - 1)² - 9 = 0
As per the given trinomial,
p² + 16p - 22 = 0
p² + 16p = 22
Add 64 on both sides,
p² + 16p + 64 = 22 + 64
(p + 8)² = 86
(p + 8)² - 86 = 0
Hence "The complete square of the a² + 2a - 3 = 0,a² - 2a - 8 = 0 and p² + 16p - 22 = 0 are (a + 1)² - 4 = 0,(a - 1)² - 9 = 0 and (p + 8)² - 86 = 0 respectively".
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The price of a phone is decreased by 19% and now is $319.14. Find the original price
Answers
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
what is percentage ?In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.
given
Put this together using the conditions given: 319.14 / (1- 19%)
Determine the total or difference: 319.14 / 0.81
Diminish the fraction: 394
Response: 394
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
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what is the equation of a line that has a slope of -5 and passes through the point (0,2) a)y= -5x b)y= -5x + 2 c)y = 2x - 5
Answers
Answer:
y=-5x+2
Step-by-step explanation:
desmos
also -5= the slope and 2 was the y intercept aka B you had all Pieces
Make a frequency table using five classes.
class 31-38 39-46 47-54 55-62 63-70
f
11
24
15
7
3
Then estimate the mean and sample standard deviation using the frequency table. (Round s to two decimal places.)
Answers
Answer: C
Step-by-step explanation:
I'm Sorta Stuck Simplify the Equation.
Answers
Answer:
9
Step-by-step explanation:
because of PEMDAS
Plz help I'm not good with % this is 7th grade work
Answers
Answer:
the answer would be 385 and there u go
Answer: 385
Step-by-step explanation: 77% of 500 is 385
What is the answer pleaseee
Answers
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
76890 million in standard form
Answers
Answer:
76890000000 to 7.689 ×10^10
Step-by-step explanation:
Mr. Felkamp planted 8 rows of tomato plants. There were 96 plants in a row. How many tomato plants were there in all?
Answers
The total number of tomato plants is given as follows:
768 tomato plants.
How to obtain the total number of tomato plants?The total number of tomato plants is obtained according to the proportions in the context of this problem.
The use of the proportion is because the total number of tomato plants is given by the multiplication of the number of plants by the number of rows.
The parameters for this problem are given as follows:
8 rows.96 plants per row.Hence the total number of tomato plants is obtained as follows:
96 * 8 = 768 plants.
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When three coins are tossed, the probability of getting three tails is 1/8. Suppose
you get $6 if you get three tails and lose $2 otherwise. Calculate the expected
value.
Answers
The predicted relationship between X is $0.375. Let X be the random variable representing the winnings from this game. We know that: If three tails are obtained, the winnings are $6.
If three tails are not obtained, the winnings are -$2.
The probability of getting three tails is 1/8. Therefore, the probability of not getting three tails is:
P(not getting three tails) = 1 - P(getting three tails) = 1 - 1/8 = 7/8
Now we can calculate the expected value of X using the formula:
E(X) = (winnings from getting three tails) * P(getting three tails) + (winnings from not getting three tails) * P(not getting three tails)
E(X) = ($6) * (1/8) + (-$2) * (7/8)
E(X) = $0.375
Therefore, the expected value of X is $0.375.
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