Answer:
6,500 = 4th year
6,000 = 5th year
5,500 = 6th year.
The amount of depreciation of the piece of machinery in the sixth year is $5000.
What is depreciation?A reduction in the value of an asset over time, due in particular to wear and tear.
Given that, a piece of machinery depreciates $8000 the first year, $7500 the second year, and $7000 the third year
The rate of depreciation is $500 per year
For 6 years the reduction is = 6*500 = $3000
Therefore, after 6 years = $8000 - $3000 = $5000
Hence, The amount of depreciation of the piece of machinery in the sixth year is $5000
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Jackie is diving 25.65 feet below sea level and then dives down another 16.5 feet. Then he rose 12.45 feet. What is Jackie’s new depth?
Answer:
-29.7
Step-by-step explanation:
Assuming sea level is at 0, you would first subtract 25.65 from 0 to indicate diving 25.65 feet BELOW 0. Then, you subtract 16.5 from that. Then, add 12.45 to that number to get the answer after the diver rose 12.45 feet.
0-25.65= -25.65
-25.65-16.5= -42.15
-42.15+ 12.45= -29.7
OR 29.7 feet below sea level.
The cost to buy tickets online for a dance show is $60 per ticket. a. Write a function that represents the cost C(x) (in $) for x tickets to the show. b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost T(a) for a dollars spent on tickets. c. Find (T ∘ C)(x). d. Find (T ∘ C)(6) and interpret its meaning in the context of this problem.
Step-by-step explanation:
Given
cost of ticket=$60
a. the cost of x tickets is
C(x)=60x
b. sale tax of 5.5% of $60 is 5.5/100*60
0.55*60=$3.3
processing fee = $8
the total cost T(a) for a dollars spent on tickets.
T(a)=60a+3.3+8
T(a)=60a+11.3
c. Find (T ∘ C)(x).
T(x)=60x+11.3
d. Find (T ∘ C)(6)
T(6)=60*6+11.3
T(6)=360+11.3
T(6)=$371.3
This means that for 6 tickets with a tax of 5.5% and a processing fee of $8 the cost will be $371.3
What is the equation of this line?
y= 4/5x-3
y=5/4x-3
y=4/5x+3
y=-4/5x-3
Answer:
the answer is y=4/5x-3
The equation of the line shown in the graph would be, [tex]y = \dfrac{4}{5} x - 3[/tex]
Hence, option 1 is true.
Given that;
Two points on the line are (5, 1) and (0, -3).
Used the concpet of the equation of the line,
The equation of a line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, [tex]m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Now,
Since, The equation of line passes through the points (5, 1) and (0, -3)..
So, We need to find the slope of the line.
Hence, the slope of the line is,
[tex]m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
[tex]m = \dfrac{(- 3 - 1)}{(0 - 5)}[/tex]
[tex]m = \dfrac{(- 4)}{( - 5)}[/tex]
[tex]m = \dfrac{(4)}{( 5)}[/tex]
Thus, The equation of the line with slope 4/5 is,
[tex]y - 1 = \dfrac{4}{5} (x - 5)[/tex]
[tex]y - 1 = \dfrac{4}{5} x - 4[/tex]
[tex]y = \dfrac{4}{5} x - 4 + 1[/tex]
[tex]y = \dfrac{4}{5} x - 3[/tex]
Therefore, The equation of the line will be;
1) [tex]y = \dfrac{4}{5} x - 3[/tex]
So, option 1 is true.
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You ride the train to an after-school job every weekday. The ticket for the trip from school to work costs $3. The ticket for the trip from work back home costs d dollars. How much do you spend on train tickets each day? How much do you spend in a 5-day week?
Answer:
each day= 3+d
each 5-day week= 15+5d
Step-by-step explanation:
someone help me please
Answer:
25
Step-by-step explanation:
Match the graph with the correct equation
A: Y= -2X + 5
B: Y= -X + 3
From: SLOPE-INTERCEPT FORM: PART 1
Answer:
The equation for this picture(graph) is:
y = -x+3
Slope: Rise/run
= 3/3
= 1
= -1 (negative because the slope is decreasing).
Y-intercept is where the line touches the y-axis
It takes Jamil 40 minutes to drive to work, plus or minus 8 minutes depending on traffic. Which of the following equations could be solved to find the shortest or longest times she might drive?
Answer:
addition
Step-by-step explanation:
add 40+8 and you get 48 :P
Need help, will mark brainliest plus 50 points.
Lia gets paid $450 a week plus a
5% commission on her sales. She
hopes to earn at least $600
dollars each week.
a. Write an inequality to
represent the verbal
description.
b. How much does Lia
need in sales to make
her goal?
Answer:
Step-by-step explanation:
To write the inequality, we need to first caculate the amount of money that Lia would ACTUALLY earn each week and compare that to her goal of $600.
We cannot actually get the amount of money that Lia would get because we don't know her sales so we will represent the sales with a X.
450+ X(5%). -This the amount of money she would egt from her sales. We need to also figure out 5% of 450 to solve the next part of the equation. That is $22.5. 600-450=150/22.5= 6.6666- which is about 7 sales.
Please help! Select the graph of the solution. 2x - 1 > 5
Answer:
See photo below
Step-by-step explanation:
First, start solving it. Add 1 to each side, so it now looks like this: 2x > 6Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x > 3Now, look at your options and pick the graph that fits the solved equation. The last option matches the solved equation exactly, so that's the answer.I hope this helps!
A bus covers a distance of 90km at a uniform speed. Had the speed been 15km/hour it would have taken 30 minutes less for the journey. Find the original speed of the bus.
Answer:
Step-by-step explanation
Let's say d = distance, r = speed and t = time
We know the distance formula is :
distance = speed x time
d = r multiplied by t
d = rt
If the speed is 15km/hr, the time would be 30 minutes shorter.
Since d = rt,
90 = 15t
t = 6,
This means the time taken for the bus to complete the journey at 15km/hr would be 6hrs.
Originally though, the journey takes 30 minutes longer.
So we can say t = 6.5 hrs , and we know d = 90
Now we use the distance formula:
d = rt, since we want to find the original speed, we want to find r.
Speed = distance/time
r = d/t
r = 90/6.5
r = 180/13
Therefore the original speed is 180/13 km/hr
Which of the following represents a fraction that converts to a repeating decimal with a value less than one?
1/2
4/3
9/10
4/9
Answer:
1/2
Step-by-step explanation:
took test
Answer:
4/9
Step-by-step explanation:
um no, that's wrong, the correct answer is 4/9 because it is a repeating decimal and is less than one
Find the product of-10/5 x (-15/5)
Answer:
6
Step-by-step explanation:use math- way it will help you in future
Answer:
6
Step-by-step explanation:
Equation: [tex]-\frac{10}{5}\cdot -\frac{15}{5}[/tex]
1). Apply [tex]-a(-b)-ab[/tex]: [tex]-\frac{10}{5}(-\frac{15}{5}=\frac{10}{5}\cdot \frac{15}{5}[/tex]
2). [tex]\frac{10}{5}[/tex] simplfies to 2, so [tex]2\cdot \frac{15}{5}[/tex]
3). [tex]2\cdot 3[/tex]
Between 10 pm and 7:45 am the water level in a swimming pool decreased by 13/16 inch. Assuming the constant rate how much did it drop each hour
The answer to your question is, The pool dropped 1.38/16 inches per hour.
Sonia is walking 2.6 miles home from school. She leaves at 4:00 P.M., and gets home at 4:45 P.M.
Answer:
I belive, it is A I'm not sure
Step-by-step explanation:
"the quotient of a number and 4"
There were 6 eggs
I broke 2, I fried 2, and I ate 2.
How many eggs are left?!
Answer:
4
.
.
.
.
.
.
.
.
.
pls rate ..
ANSWER
yes it is
you have 6 eggs right you remove 2 eggs from the 6 eggs which means you have 4 then the 2 you removed you fry them then the 2 eggs you fry you eat those same 2 eggs and then it leaves you with 4 eggs
writing equations of lines
Answer:
- 10/8= -5/2
Step-by-step explanation:
You go down 10 and right eight to get to each point: rise/run, or in this case fall/run. Simplified it would be -5/2.
Hope this helps ❤
What is the area of triangle abc? Pls explain thoroughly.
Answer:
0.25 ( I guess)
Step-by-step explanation:
use 1/2 (b*h) formula
Solve for j.
20 − 17j = –18j
j =
Answer:
[tex]\boxed {j = -20}[/tex]
Step-by-step explanation:
-Solve for the value of [tex]j[/tex]:
[tex]20 - 17j = -18j[/tex]
-Take [tex]18j[/tex]and add it to [tex]17j[/tex]:
[tex]20 - 17j + 18j = -18j + 18j[/tex]
[tex]20 + j = 0[/tex]
-Subtract both sides by [tex]20[/tex]:
[tex]20 - 20 + j = 0 -20[/tex]
[tex]\boxed {j = -20}[/tex]
So, the value of [tex]j[/tex] is [tex]-20[/tex].
ASAP PLEASE ANSWERRR find the value of x. 3x+34=16
Answer:
-6
Step-by-step explanation:
subtract 3 from both sides and that leaves 3x=-18
then divide 3 by -18 and that equals -6
Answer:
x= -6
Step-by-step explanation:
Step 1: Subtract 34 from both sides.
3x+34−34=16−34
3x=−18
Step 2: Divide both sides by 3.
3x /3 = −18 /3
x=−6
I cut along piece of wood into 50cm pieces I manage to cut w, pieces of wood and there is 20cm left over . How long was the wood to start with
Answer:
50w+20 (cm)
Step-by-step explanation:
There would be w pieces of 50cm wood pieces and one 20cm wood piece.
wood length = 50w +20
Step-by-step explanation:
Given
Length of Pieces = 50cm
Number of Pieces = w
Left over = 20cm
Required
Determine the length of the wood
Start by multiplying the number of pieces by the length of each pieces
Result = length * number
Result = 50 * w
Result = 50w
Lastly, add the leftover to get the actual length of the wood
Woodlengrh = result + leftover
Substitute 50w for Result and 20 for Leftover
woodlength = 50w + 20
Hence, the length of the wood is 50w + 20
Write an equation to represent the following statement.
j is 14 less than 22
Solve for J
Step-by-step explanation:
22-14=8 so J=8
Billy walked 52 miles in 3 days how many miles could he walk in 10 days?
Answer:
He could walk 173 [tex]\frac{1}{3}[/tex] miles in 10 days
Step-by-step explanation:
To solve this problem let us use the ratio method
∵ Billy walked 52 miles in 3 days
∵ We need to find how many miles could he walk in 10 days
→ Use the ratio method
→ Miles → Days
→ 52 → 3
→ x → 10
→ x is the number of miles
→ By using cross multiplication
∵ x × 3 = 52 × 10
∴ 3x = 520
→ Divide both sides by 3 to find x
∴ [tex]\frac{3x}{3}=\frac{520}{3}[/tex]
∴ x = 173 [tex]\frac{1}{3}[/tex] miles
∴ He could walk 173 [tex]\frac{1}{3}[/tex] miles in 10 days
Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices
X'(–3, 1), Y'(0, 0), and Z'(–2, –1). Which rule describes the transformation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°
Answer:
ur answer is.. 90 degree
Step-by-step explanation:
Triangle ABC was transformed using the rule (x, y) -> (-y, x). The vertices of the triangle are shown.
Which best describes the transformation?
would be a R0, 90 degree
i jst took the quiz....
Answer:
90 degrees
Step-by-step explanation:
What is 1.2 simplified
Answer:
it is 1 2/10 but simplified to 1 1/5
Step-by-step explanation:
what is the value of the 2 in 0.812
Answer:
the two is in the thousandths place
Step-by-step explanation:
the eight is in the tenths, and the one is in the hundredths
Answer:
.8 tenths
.01 hundredths
.002 thousandths
so the value of 2 would be 2 thousandths or .002 thousandths
The peak of Mount Everest, Earth's tallest point, is about 5 1/2 miles above sea level. The bottom of the Mariana Trench, Earth's deepest point, is about 6 9/10 miles below sea level. If you could place Mount Everest at the bottom of the Mariana Trench, how far from sea level would its peak be?
Answer:
11 7/10 miles below sea level
Step-by-step explanation:
Given the following :
Peak of Mount everest = 5 1/2 miles above sea level
Bottom of Mariana trench = 6 9/10 miles below sea level
If mount everest is placed at the bottom of Mariana trench
. It's be will be :
Since sea level could be considered as a 0 point;
Adding the height and depth of both should give us the depth below sea level:
(6 9/10 + 5 1/2) miles
6 + 5 (9/10 + 1/2)
11 (9 + 5)/10
11 14/10
11 7/10
= 11 7/10 miles below sea level
What is the value of D(12)
Answer:
If the question is looking for an absolute value then the answer is 12.
Absolute value |-a| = a.
A system of equations is given as:
x = 8
3x + 4y = 16
What is the value of y?
Answer:
3x + 4y = 16
x = 8
y = -2
Hope this helps! Please mark Brainliest!
What are all the like terms of 5x
Answer:
a number times 5
Step-by-step explanation: