Answer:
708
Step-by-step explanation:
Answer
1.7/5
1
bhagyashreechowdhury
Ace
2.4K answers
4.9M people helped
Given:
The cost of the T.V. for Colin = £ 800.
The rate of depreciation per year = 4%
Time period = 3 years
To find:
How much will it be worth in 3 years? Give your answer to the nearest penny where appropriate.
Solution:
To solve the above-given problem, we will use the following formula:
where
A = the final value after depreciation
P = the present value
R = rate of depreciation
n = time period
Now, on substituting the given values in the formula, we get
we will round the above answer to its nearest penny where appropriate
≈ £ 708
Thus, the worth of the t.v. in 3 years will be £ 708.
Have to find x,y and z.
Answer:
z= 2√2
x=2
y=2√2
Mrs.Giblin begins hiking at mile marker 25 on the Appalachian Trail and hikes 3 miles every hour. What is the slope?
Answer:
3 miles
Step-by-step explanation:
Slope is simply the change in position per unit rate. We could conclude that the steepness of the Applachian is the rate of change in position per unit time. Since the distance hiked on the Applachian is said to be 3 miles per hour, then we can conclude that the slope of the applachian is 3 miles
This is the change in miles / change in time.
Chang in miles = 3
Change in time = 1
Slope = 3/1
Slope = 3
PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG
Answer:
a
Step-by-step explanation:
The radius of a cylinder is increasing at a constant rate of 2 inches per minute. The volume remains a constant 440 cubic inches. At the instant when the radius of the cylinder is 44 inches, what is the rate of change of the height? The volume of a cylinder can be found with the equation V= [tex]\pi r^2h[/tex] Round your answer to three decimal places.
Answer:
The rate of change of the height is approximately [tex]-6.577\times 10^{-3}\,\frac{in}{min}[/tex].
Step-by-step explanation:
From Geometry we know that volume of cylinder ([tex]V[/tex]), measured in cubic inches, is expressed by:
[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)
Where:
[tex]r[/tex] - Radius, measured in inches.
[tex]h[/tex] - Height, measured in inches.
Given that volume remains constant, the expression for the rate of change of the height ([tex]\dot h[/tex]), measured in inches per minute, is:
[tex]2\pi\cdot r \cdot h \cdot \dot r + \pi \cdot r^{2}\cdot \dot h = 0[/tex]
[tex]2\cdot h\cdot \dot r + r\cdot \dot h = 0[/tex]
[tex]r\cdot \dot h = -2\cdot h \cdot \dot r[/tex]
[tex]\dot h = -\frac{2\cdot h\cdot \dot r}{r}[/tex]
[tex]\dot h = - \left(\frac{2\cdot \dot r}{r}\right)\cdot \left(\frac{V}{\pi\cdot r^{2}} \right)[/tex]
[tex]\dot h = -\frac{2\cdot \dot r \cdot V}{\pi\cdot r^{3}}[/tex] (2)
Where [tex]\dot r[/tex] is the rate of change of the radius, measured in inches per minute.
If we know that [tex]r = 44\,in[/tex], [tex]\dot r = 2\,\frac{in}{min}[/tex] and [tex]V = 440\,in^{3}[/tex], then the rate of change of the height is:
[tex]\dot h = - \frac{2\cdot \left(2\,\frac{in}{min} \right)\cdot \left(440\,in^{3}\right)}{\pi\cdot (44\,in)^{3}}[/tex]
[tex]\dot h \approx -6.577\times 10^{-3}\,\frac{in}{min}[/tex]
The rate of change of the height is approximately [tex]-6.577\times 10^{-3}\,\frac{in}{min}[/tex].
Veronica bought an ICEE for $6 at the movies. She also bought some hot dogs for $3 each. Veronica did not want to spend more than $27 on the ICEE and hot dogs. Which inequality can be used to find h, the number of hot dogs Veronica could have bought?
Answer:
6 + 3h ≤ 27
Step-by-step explanation:
hope this helpsss
1.1. Which statement explains why the two systems of equations below have the
same solution?
A(6x + 8y = -10
2x - 5y = 12
B
8x + 3y = 2
12x + 16y = - 20
A. The first equation in B is the sum of the equations in A, while the other is obtained
by multiplying the second equation in A by 6.
B. The first equation in B is the sum of the equations in A, while the other is obtained
by multiplying the first equation in A by 2.
C. The equations in A are increased by 12 and -32 to get the equations in
D. The equations in A are multiplied by 2 and 4 to get the equations in B.
Answer:
Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.
Step-by-step explanation:
As given,
A : 6x + 8y = -10 .......equation (1)
2x - 5y = 12 .......equation (2)
B : 8x + 3y = 2 .......equation (1)
12x + 16y = - 20 .......equation (1)
Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.
Proof :
The first part says that ,
Sum of equation (1) of A and equation (2) of A = Equation (1) of B
Firstly , find the Sum of equation (1) of A and equation (2) of A
⇒6x + 8y + 2x - 5y = -10 + 12
⇒8x + 3y = 2
this is same as equation (1) of B
So, it satisfies the first part
The second part says that,
The equation (2) of B is obtained by multiplying the first equation in A by 2.
It means , if the equation (1) is multiplied by 2 = equation (2) of B
Firstly , if the equation (1) is multiplied by 2 , we get
2 ( 6x + 8y = -10 )
⇒ 2 ( 6x + 8y ) = 2 ( -10)
⇒ 12x + 16y = -20
this is same as equation (2) of B
So, it satisfies the second part.
Describe how the graph of y= 2x + 7 is the same and
different from the graph of y=2x - 7.
Answer: the placement/ digest are the same but because on is positive and the other is negative, the answer will be different
Step-by-step explanation:
Answer:
different y-intercepts; same slopes
Step-by-step explanation:
if x=0, then y=7,-7
Find the area of the parallelogram.
Answer:
12
Step-by-step explanation:
12 is the area
Since,
6×2=12
What is 83 + 119 + 17 =
Answer:
219
Step-by-step explanation:
83 + 119 = 202
202 + 17 = 219
Answer:
219
Step-by-step explanation:
83 + 119 = 202
202 + 17 = 219
I need answers to these.
Sin 38° = x/21
How to solve? what is answer?
Answer:
x = 12.936
Step-by-step explanation:
sin(38) = .616
x/21 = .616/1
x = 12.936
Answer: x= 12.92889098
Step-by-step explanation:
Step 1: Cross multiply sin38/1 with x/21
Step 2: x= 21 sin38
step 3: use a scientific calculator (you can type in desmos calculator for one) to input 21 sin(38) to get answer.
To map △PQR onto △STU, there must be a factor k that reduces △PQR.
Find each length.
PQ = 5
QR = 7
ST = 5
TU = 5
Step 2 out of 5:
If kPQ = ST, then k =
Answer: k=1
Step-by-step explanation: PQ already equals ST
Which equation could be used for the situation below?
Jenna earns $8 each week by completing chores. She already has $12 in her savings. How much will she have after 4 weeks?
y = 8x + 4
y = 8x
y = 8x + 12
Answer:
Option C is the correct answer.
Step-by-step explanation:
Per week earning = $8
Amount in savings = $12
y = Total amount
x = Number of weeks
y = 8x + 12
Where we can put x=4 to calculate earning of 4 weeks.
y = 8(4) + 12
y = 32 + 12 = $44
Therefore,
Option C is the correct answer.
Larry paid $4.16 for 4 tomatoes. At this same rate, how much would 7 tomatoes cost?
-$11.16
-$7.28
-$7.00
-$2.38
Answer:
7.28
Step-by-step explanation:
You have to know the same rate for $4.16 for 4 tomatoes. Think about it
It rained 6 days in the month of april. What percent of the month did it rain?
**there are 30 days in April**
Answer:
5% of the time or in a decimal it's 0.05
The number of pizzas y you need for a party is proportional to the number of people x attending the party. You will need 2 pizzas for 10 people.
a. Write an equation that represents the situation. (Remember y=mx)
b. Interpret the slope.
c. How many pizzas are needed for 25 people?
During second period, Bryant completed a grammar worksheet. He got 21 out of 75 questions
correct. What percentage did Bryant get correct?
1 is the only number that's neither prime nor composite-right?
Answer:
No
Step-by-step explanation:
1 is a prime number
0 is the only number that is neither prime or composite
Hello there!
No, 1 is not the only number that is neither prime nor composite.
0 is neither prime not composite because it has infinite factors. Composite numbers have more than 2 factors, but they must have a finite amount o factors. Since 0 has infinite factors, then it's neither prime nor composite.
Hope it helps!
~Just a cheerful gal
#CarryOnLearning
[tex]SilentNature[/tex]
Write an equation that represents the line
A right triangle has a leg of length 12 and a hypotenuse of length 23 yards. Find the length of the other leg (nearest tenth).
Use multiplication to find the quotient. 5 / 1/4
Answer:
20
Step-by-step explanation:
5/ 1/4 --> 5 x 4 (flip the 1 and 4 in 1/4)
Team Green and Team Blue play in a competition. Team Green has twelve more points than Team Blue.
Team Green has four times as many points as Team Blue.
How many points does each team have?
Answer:
Team blue points = 4 points
Team green points = 16 points
Step-by-step explanation:
Let
Team blue points = x
Team green points = (x + 12) points (1)
Team green points = 4x (2)
Equate equation (1) and (2)
x + 12 = 4x
12 = 4x - x
12 = 3x
x = 12/3
x = 4 points
Team blue points = x
= 4 points
Team green points = (x + 12)
= 4 + 12
= 16 points
Team green points = 4x
= 4(4)
= 16 points
Find the radius, and the approximate circumference and area of the circle below. (Use 3 for \pi)
(Pi value = 3)
Given diameter of circle = 12 inches
Radius of circle :
[tex] = \tt\frac{diameter}{2} [/tex]
[tex] = \tt\frac{12}{2} [/tex]
[tex] = \tt6 \: inches[/tex]
Thus, the radius of this circle = 6 inches
Circumference of this circle :
[tex] = \tt2\pi r[/tex]
[tex] =\tt 2 \times 3 \times 6[/tex]
[tex] = \tt36 \: inches[/tex]
Thus, the circumference of this circle = 36 inches
The area of this circle :
[tex] = \tt\pi {r}^{2} [/tex]
[tex] =\tt 3 \times 6 \times 6[/tex]
[tex] = \tt108 \: {inches}^{2} [/tex]
Thus, the area of this circle = 108 inches²
Therefore,Radius = 6 inchesDiameter = 12 inchesCircumference = 36 inches Area = 108 inches²1. Compare each pair of integers using the symbols >, < or =
a. -2,[ ]-2
b. 17 [ ] 11
c. -3 [ ]7
d. -16[ ] 13
2. Order each set of integers from least to greatest
a. 98,5,46, 77, 24, 19
b. 58,46, 62, 79, 21, 6
c. 86, 65, 55, 30, 11, 41
d. 69, 65, 52, 48, 25,8
Please answer this ASAP
Answer: 2x and y= 4+
Step-by-step explanation:
x = 2 times 2 and so on....
y = 4 plus 4 plus 4 etc....
The coordinates of a triangle are P(1, 4), Q(3, 6), and R(5, 2). The triangle is reflected over a line and its image coordinates are P'(–1, 4), Q'(–3, 6), and R'(–5, 2).
Answer:
Its reflected over the y axis
Mrs. Smith bought a used car. She paid $6,500 plus sales tax. The sales
tax was 7%. How much did she pay in sales tax?
Answer:
$450
Step-by-step explanation:
SOMEONE PLZZZ HELP MEE WHATS THE ANSWER AND EXPLAIN WHY IM GIVING 25 BRAINLIEST!!
Answer:
15
Step-by-step explanation:
75.00 - 20% is 60
60 + (tax 15) is 75.00
So I'm guessing that the tax rate is 15
An economic model predicts that the supply, s, and the demand, d, for a new product can be estimated using the
lines on the graph below.
10, 6, 3, 10, 1
Mode ??
Median ??
Answer:
Median is 6 Mode is 10
Step-by-step explanation:
Median is the middle number when all the numbers are lined up in order.
Mode is the number that shows up most frequently.
Answer:
Mode: 10
Median: 6
Step-by-step explanation: