The book value at the end of year 2 of the equipment depreciated using the sum-of-the-years’-digits method is $65,560.
What is the book value at the end of year 2?Depreciation is a method used to expense the cost of an asset. Book value is the cost of the asset less the accumulated depreciation.
Sum-of-the-year digits = (remaining useful life / sum of the years ) x (Cost of asset - Salvage value)
Depreciation expense in year 1:
Sum of the years = 1 +2 +3 +4 + 5 + 6 + 7 + 8 + 9 + 10+ 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 210
Undepreciated life of the asset = 20
(20 / 210) x ($79,600 - 4,000) = 7200
Depreciation expense in year 2:
19 / 210 x ($79,600 - 4,000) = 6840
Book value = 79600 - 7200 - 6840 = $65,560
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A sum of N$2 500 was deposited in a venture account, which pays 12% compounded per year and it accumulated to N$3 950. Calculate the number of years the amount has been in the venture account. Answer must be rounded to the nearest unit?
The number of years the amount has been in the venture account with 12% interest per year is 4.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
A sum of $2,500 was deposited in a venture account, which pays 12% compounded per year and it accumulated to $3,950.
Then the number of the years will be
We know the compound interest formula
[tex]\rm A = P(1+r)^t[/tex]
where
A = Accumulated amount
P = Deposited value
r = rate of interest
t = time
Then we have
[tex]3950 = 2500 (1.12)^t\\\\1.58\ =1.12^t[/tex]
Taking log both sides, then we have
[tex]\rm \ln 1.58 = t \times \ln 1.12\\\\or \ \ \ \ t = 4.036 \approx 4 \ years[/tex]
Then the number of the years is 4.
More about the compound interest link is given below.
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Factor the polynomial and use the zeros to identify its graph. x4 − 5x3 − 20x2 + 60x + 144
The zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)
How to factor the polynomial?The polynomial is given as:
P(x) = x^4 - 5x^3 - 20x^2 + 60x + 144
Expand the polynomial function
P(x) = x^4 - 10x^3 + 5x^3 + 24x^2 - 50x^2 + 6x^2 + 120x - 60x + 144
Rewrite the function as:
P(x) = x^4 - 10x^3 + 24x^2 + 5x^3 - 50x^2 + 120x + 6x^2 - 60x + 144
Factorize the function
P(x) = x^2(x^2 - 10x + 24) + 5x(x^2 - 10x + 24) + 6(x^2 - 10x + 24)
Factor out x^2 - 10x + 24
P(x) = (x^2 + 5x + 6)(x^2 - 10x + 24)
Expand each bracket
P(x) = (x^2 + 3x + 2x + 6)(x^2 - 4x - 6x + 24)
Factorize each bracket
P(x) = [x(x + 3) + 2(x + 3)][x(x - 6) - 4(x - 6)]
Factor out x + 3 and x - 6
P(x) = (x + 3)(x + 2)(x - 4)(x - 6)
Set to 0
(x + 3)(x + 2)(x - 4)(x - 6) = 0
Solve for x
x =-3, -2, 4 and 6
Hence, the zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)
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What is the area of the triangle? 5 in. 3 in 4in O 6 square inches O 7-square inches O 10 square inches O 12 square ches
Answer:
-------------------Heya Kjowanpreet!--------------
[tex] \large{ \tt{ \star\: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]
GiveN :
Sides of the triangle : 3 in , 5 in and 4 ftTo FinD :
Area of the provided right angled triangleFormulA :
Area of right angled triangle = 1/2 b × p where b = base & p = perpendicular. Here , Perpendicular = 3 in and base = 4 inSolvinG :
[tex] \large{ \boxed{ \bf{Area \: of \:right \: angled \: triangle : \frac{1}{2} b \times p }}}[/tex]
[tex] \longrightarrow{ \tt{} \frac{1}{2} \times 3 \times 4}[/tex]
[tex] \longrightarrow{ \boxed{ \tt{6 \: in ^{2} }}}[/tex]
Yay ! Finally , We solved. Our final answer is 6 square inches.-------------HappY LearninG <3 ---------------
Select the correct questions.
Which questions are statistical questions?
Which subjects do the students What is the number of students What is the height of each
in my class like?
in my class?
student in my class?
How many servings of fruit did
l eat each day this month?
What is my favorite color?
What is my mother's favorite
fruit?
What is my height?
What is the highest temperature
of each month this year?
How many students from each
school in this city love football?
Answer:
Step-by-step explanation:
I will give each that is a statistical question
Subject the students in my class like.
Number of students in my class (as you could compare to another class)
height of each student
serving of fruits eaten in that month
Perhaps height (As you could compare it to the average height)
Highest temp. of each month this year.
How many students love football.
Answer:
Statistcial Questions -
Which subjects do the students like
What is the height of each student
What is the highest temperature
of each month this year?
How many students from each
school in this city love football?
Step-by-step explanation:
A cafeteria is in the shape of a rectangle. The length of the rectangle is four times its width. The area of the cafeteria is 14,800 square feet. What is the length of the cafeteria? Round to the nearest foot.
Hint: Use A = LW.
A. 243 Ft.
B. 61 FT.
C. 370 FT.
D.121 FT.
Answer:
Option A, [tex]L = 243\ ft[/tex]
Step-by-step explanation:
Step 1: Create an equation
[tex]Length = 4 * Width[/tex]
[tex]Area = (4 * W) * W[/tex]
[tex]Area = 4 W^2[/tex]
Step 2: Solve for W
[tex]14800\ ft^2 = 4 W^2[/tex]
[tex]\frac{14800\ ft^2}{4} = W^2[/tex]
[tex]3700\ ft^2 = W^2[/tex]
[tex]\sqrt{3700\ ft^2} = \sqrt{W^2}[/tex]
[tex]61\ ft = W[/tex]
Step 3: Solve for L
[tex]Length = 4 * Width[/tex]
[tex]L = 4 * 61\ ft[/tex]
[tex]L = 243\ ft[/tex]
Answer: Option A, [tex]L = 243\ ft[/tex]
Select the statement that makes this comparison correct: 0.45 ________ 0.39. (2 points)
0.39 > 0.45
0.45 > 0.39
0.45 < 0.39
0.39 = 0.45
Answer: 0.45 > 0.39
SURE HOPE THIS HELPS YOU :)Give love
Levi has a fish tank that holds
3
4
8 gallons of water. He wants to fill it
so it is only 3/4
full. How much water,
in gallons, should Levi put in the fish
tank? Explain.
Using proportions, it is found that Levi should put 2.8125 gallons of water in the tank.
What is a proportion?A proportion is a fraction of a total amount.
Considering the improper fraction, the total amount of water that the tank holds is given by:
T = 3 4/8 = 3 + (4/8) = 3.5 gallons.
He wants the tank to be 75% full, hence, applying the proportion, the amount of water that he should put on the tank is of:
A = 0.75 x 3.5 = 2.8125 gallons.
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taking a photo of 3 questions! Please help! with ALL answers if possible! I’m putting it at 30+ points
Answer:
3 for City A and 6 for City B.
Step-by-step explanation:
All you have to do is look where it stands bye.
Hope this helps!
Strawberries cost $1.19 per pound. What is the cost of 2.16 pounds of strawberries?
PLEASEEE HELPPPP
Answer:
$ 2.57
Step-by-step explanation:
1.19 $/pound * 2.16 pound =
Please help me feedback is appreciated thank u!!
Answer:
1/64
Step-by-step explanation:
1/4*1/4*1/4 since as you tell me there are
2 of each, which is 1/4 I will do the same thing 3 times.
Solve: −(2/3a−1/3)+53a=−4
Answer:
a=-13/157open the brackets:_2/3a+1/3+53a =_4. 53a_2/3a=_4_1/3. 157/3a=_13/3 which is;a=_13/157
Find the circumference.
69.12ft
11x2 = 22
C= pi x d
= pi x 22
= 22pi
Or
69.11503838
Hope this helps!
Which statement is true? Question 16 options: A) |–3| = 3 and |–4| = –4 B) |–3| = 3 and –|4| = 4 C) –|3| = 3 and |4| = 4 D) |–3| = 3 and –|–4| = –4
A school playground is in the shape of a parallelogram. The base of the parallelogram is six times as long as the height. The area of the playground is 5040 square feet. What is the length of the longer side of the playground? Round to the nearest foot.
Hint : Use A = bh.
180 ft
30 ft
840 ft
174 ft
Answer:
Option D, 174 ft
Step-by-step explanation:
Step 1: Create an equation
[tex]B = 6H[/tex]
[tex]Area = (6H) * H[/tex]
Step 2: Divide both sides by 6
[tex]5040\ ft^2 = 6H^2[/tex]
[tex]\frac{5040\ ft^2}{6} = \frac{6H^2}{6}[/tex]
[tex]840\ ft^2 = H^2[/tex]
Step 3: Square root both sides
[tex]\sqrt{840\ ft^2} = \sqrt{H^2}[/tex]
[tex]29\ ft = H[/tex]
Step 4: Find the base
[tex]A = B * H[/tex]
[tex]5040\ ft^2 = B * 29\ ft[/tex]
[tex]\frac{5040\ ft^2}{29\ ft} = \frac{B*29\ ft}{29\ ft}[/tex]
[tex]174\ ft = B[/tex]
Answer: Option D, 174 ft
WILL GIVE BRAINLIEST IF ANSWER. PLEASE HELP ITS A 6TH GRADER QUESTION
Answer:
SMALLEST TO GREATEST
102 mm --> 125 mm --> 10.4 cm --> 0.12 m.
Explanation:
Millimeters (mm) is smaller than centimeters (cm). Centimeters are smaller than meters (m).
And, since both 125 mm and 102 mm has the same units of measurement, 125>102.
So, 102 goes in front of 125.
And then the rest of the order is completed by comparing the units of measurement.
I hope it helps!! :DThabo bought bread for R9,50, sweets RO,50, biscuits for R2,75 and coldrink for R11,35. a) How much did Thabo spend at the shop? b) If Thabo had R50, how much was his change?
Answer:
A) R24.10
B) R25.90
((ASSUMING THERES NO TAXES WITH THE PAYMENT))
Step-by-step explanation:
A)
first add up the costs of each item to get the ttal cost with addition as follows...
9.50 + 0.50 + 2.75 + 11.35 ((Adding like terms by adding 0.50 to 9.50 equaling 10.00))
10.00 + 2.75 + 11.35 ((adding the more simple options togeter since .75 is a more common fraction at 3/4))
12.75 + 11.35 ((finnishing off the system by adding the last two numbers together equaling to 24.10))
therefore Thabo spent a total of 24.10
B)
to find out the change, all we need to do is subtract the total cost from the total amount Thabo used to pay as shown below
50.00 - 24.10
in conclusion, Thabo would have R25.90 in change from the transaction ((assuming theres no tax))
Consider the points plotted on the number line shown.
PLS HELP ILL GIVE 5 STARS
Answer:
false
true
true
sorry i just need more characters
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
6.63 ft
Step-by-step explanation:
10² + h² = 12²
h² = 12² - 10²
h² = 144 - 100
h = √(44)
h = 2√11
6.63325 ft
BRAINLIEST please if this helped!5. Kiran is solving the equation Vx+ 2 – 5 = 11 and decides to start by squaring both sides. Which equation results if Kiran squares both sides as his first step? A. x + 2 – 25 = 121 B. x + 2 + 25 = 121 х C. x + 2 – 107x + 2 + 25 = 121 = х = D. x + 2 + 107x + 2 + 25 = 121 (From Unit 3, 9.)
The equation that results if Kiran squares both sides as his first step is gotten as; x + 2 - 10√(x + 2) + 25 = 121
How to simplify algebra?We want to simplify the expression;
[√(x + 2)] - 5 = 11
Squaring both sides is;
([√(x + 2)] - 5) * ([√(x + 2)] - 5) = 11 * 11
⇒ x + 2 - 10√(x + 2) + 25 = 121
Thus, the correct answer is;
x + 2 - 10√(x + 2) + 25 = 121
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A store is handing out coupons worth 30%, 35%, or 40% off Each coupon is equally likely to be handed out. Which of the following models could be used to simulate this situation?
Your correct answer is 3.
Sure hope this helps you and pls mark me brainiest :)
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Bha A quadrilateral has two sides that in measure 14 centimeters and two sides that measure 5 centimeters. Two angles measure 110°. The other two angles measure 70°. The congruent angles are opposite. The congruent sides are parallel. What kind of quadrilateral is it?
Answer:
parallelogram
Step-by-step explanation:
A kite will have two pairs of congruent sides. An isosceles trapezoid will have two pairs of congruent angles.
When the congruent angles are opposite and adjacent angles are supplementary, opposite sides must be parallel and congruent. The figure must be a parallelogram.
Oliver's total monthly budget is shown in the circle graph below
Oliver's monthly budget is 2500 how much money does he save each month
Consider the following information:
Rate of Return If State Occurs
State of Probability of
Economy State of Economy Stock A Stock B
Recession .18 .07 − .18
Normal .55 .10 .11
Boom .27 .15 .28
a.
Calculate the expected return for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
b. Calculate the standard deviation for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
a.stock A expected return ____%
stock B expected return ____%
b.stock A standard deviation ____%
stock B standard deviation ____%
B because your not rounding and in this case you need to intermediate the calculations
pls help i really did it plssssssssss
Answer:
D
Step-by-step explanation:
You can combine like terms meaning (8x+14)+ (9x-5) is 17x+9
Hi!
Given:
[tex](8x+14) + (9x-5)[/tex]
As we are adding the two groups, we can safely take them out of parentheses, as none of the signs will change:
[tex]8x+14+9x-5[/tex]
Now, we can rearrange them to make it easier, placing like terms next to each other:
[tex]8x+9x+14-5[/tex]
Now, add like terms:
[tex]17x+9[/tex]
Therefore, your answer is D.
the function f(x)=-x is shown on the graph whixh statement is correct
the range of the graph is all real numbers less than or equal to zero
the domain of the graph is all real numbers less than or equal to zero
the domain and range of the graph are the same
the range of the graph is all real numbers
Answer:
the range of the graph is all real numbers less than or equal to zero
Step-by-step explanation:
4) Cody invests $2,733 in a retirement
account with a fixed annual interest rate of
9% compounded 12 times per year.
How
long will it take for the account balance to
reach $9,589.78?
Answer:
t = 14 years
Step-by-step explanation:
r = R/100
r = 9/100
r = 0.09 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(9,589.78/2,733.00) / ( 12 × [ln(1 + 0.09/12)] )
t = ln(9,589.78/2,733.00) / ( 12 × [ln(1 + 0.0075)] )
t = 14 years
Summary:
The time required to get a total amount of $9,589.78 with compoundeded interest on a principal of $2,733.00 at an interest rate of 9% per year and compounded 12 times per year is 14 years.
How to solve this without a calculator
Answer:
B. -3/2
Explaination:
7. Saturday night, Larry is attending the concert of his favorite rock band. Tickets were $250 plus 6% tax. Parking is $20 for the evening. While there, Larry purchases a T-shirt for $35 plus 7% tax and a meal with a beverage for $25. How much did he spend altogether to attend the concert?
Answer:
$347.45
Step-by-step explanation:
total = tickets + parking + t shirt + meal
tickets = 250 + 6% tax
6% tax is of 250, so this is equal to
250 + 6% of 250
6% = 0.06 because we divide by 100 to convert to a decimal from a percentage
thus, tickets = 250 + 0.06 of 250 = 250 * 1 + 0.06 * 250 + 1.06 * 250 = 265
parking = 20
use a similar strategy from the tickets and apply that to the t shirt
t shirt = 35 + 7 % tax = 35 + 0.07 * 35 = 1.07 * 35 = 37.45
meal = 25
total = 265 + 20 + 37.45 + 25 = $347.45
What is the value of 7-1* 0+3/3
Answer:
six!!! OBVIOUSLY BECUASE everything is made of dogs.
Step-by-step explanation:
lol sorry caps but it was kinda obvious ngl
Which set of data has the same mode and median?
6, 7, 7, 8, 9
2, 2, 3, 4, 6
3, 4, 6, 7, 8
3, 3, 4, 5, 5
Answer:
A) 6, 7, 7, 8, 9
Step-by-step explanation:
Median: the middle number in a data set
Mode: the number that appears most frequently in a data set
Choices:
A) 6, 7, 7, 8, 9
B) 2, 2, 3, 4, 6
C) 3, 4, 6, 7, 8
D) 3, 3, 4, 5, 5
A) 6, 7, 7, 8, 9
Median: 7
Mode: 7
B) 2, 2, 3, 4, 6
Median: 3
Mode: 2
C) 3, 4, 6, 7, 8
Median: 6
Mode: 3, 4, 6, 7, 8 <== as they all appear once
D) 3, 3, 4, 5, 5
Median: 4
Mode: 3 and 5
Therefore, the correct answer is A, as it has a median and mode of 7.
Hope this helps!