Answer: 7.7 years
Step-by-step explanation:
Given
The cost of HD TV is $700 and it is decreasing at the rate of 15% per year
After one year it becomes
[tex]\Rightarrow 700-700\times 15\%\\\Rightarrow 700(1-0.15)[/tex]
after 2 year it becomes
[tex]\Rightarrow 700(1-0.15)-700(1-0.15)\times 15\%\\\Rightarrow 700(1-0.15)(1-0.15)\\\Rightarrow 700(1-0.15)^2[/tex]
Suppose, after x years it becomes $200
[tex]\Rightarrow 200=700(1-0.15)^x\\\\\Rightarrow \dfrac{2}{7}=0.85^x\\\\\text{Taking log both sides}\\\\\Rightarrow x=\dfrac{\ln (\frac{2}{7})}{\ln (0.85)}\\\\\Rightarrow x=7.7\ \text{years}[/tex]
Thus, it takes 7.7 years for the cost to come under $200.
In ΔVWX, x = 160 cm, v = 150 cm and ∠W=77°. Find the length of w, to the nearest centimeter.
Answer:
The length of the third side is approximately 193.14 cm
Step-by-step explanation:
The given dimensions of the sides of triangle ΔVWX are;
X = 160 cm
V = 150 cm
The measure of the included angle, m∠W = 77°
By cosine rule, we have;
w² = v² + x² - 2·v·x·cos(W)
∴ w² = 150² + 160² - 2 × 160 × 150 × cos(77°) ≈ 37,302.35
∴ The length of the third side, w = √37,302.35 ≈ 193.14
The length of the third side, w ≈ 193.14 cm
PLEASEEEEEEEEEEE HELPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
1.04
$45,552
Step-by-step explanation:
new price = 1.04 * original price
new price = 1.04 * 43,800
newprice: $45,552
which are like terms
will give brainest if correct
Answer:
3ad³
Step-by-step explanation:
Like terms have same variables with same powers.
12ad³ and 3ad³ has same variables a and d³
Peter work three more days than jill. Peter earn $20 day jill earn $40 day. But they earned the same amount of money
Answer: Wowwww that ain't good at all and sooo not fair if Peter worked three more days than Jill but still only got twenty bucks. That's pretty sad.
Step-by-step explanation:
pls pls pls help don't ignore imma fail
Answer:
6 as b
7 as a
Step-by-step explanation:
if indeed the scale is 3 to 1, this is correct! the answer is B
Kevin bought dvds of different movies he spent $5 for each movie the equation y=5 shows how much he spent for the movies
Answer:
The dependent variable is y (the amount paid)
Step-by-step explanation:
Given
[tex]y = 5x[/tex]
Where
[tex]x \to[/tex] number of movies
[tex]y \to[/tex] amount paid
Required
The dependent variable
From the question, we have:
[tex]y = 5x[/tex]
This means that the value of y is determined by the value of x.
Take for instance:
[tex]x = 2[/tex]
The value of y will be:
[tex]y =5*2 = 10[/tex]
If x changes (say; x = 12), y will also change
[tex]y =5*12 = 60[/tex]
Hence, y is the dependent variable
A school librarian surveyed a random sample of $50$ students to find out which library resources students value most. The table below shows the results.
Library Resources Number of Students
Books 24
Study Areas 10
Classes 6
Movies 10
Which statements are best supported by the data?
Select all that apply.
A It is expected that $15\%$ to $25\%$ of all students will value movies the most.
B It is expected that $20\%$ to $30\%$ of all students will value books the most.
C In a group of $25$ students, it is expected that around $5$ students will value study areas the most.
D In a group of $100$ students, it is expected that around $6$ students will value classes the most.
E In a group of $200$ students, it is expected that $20$ students will value study areas the most, and $20$ students will value movies the most.
Answer:
E
Step-by-step explanation:
If you break each classification of what items metter most you get the following percentahes:
Books 48%
Study Areas 5%
Classes 6%
Movies 20%
A - you could make an argument that this MAY be an accurate reflection but the percentage does not bring 15% into the data so this seems like conjecture.
B - Data suggest a higher support for books at 48%
C - Data suggest 1 or two in a group of 25 would answer study areas
if m 7=99 degrees and m 1=32 degrees then what is m 4 + m 5
Answer:
229°
Step-by-step explanation:
(180- 32) + (180 - 99)
148 +81
= 229°
write the set of positive perfect square numbers that is less than 120 . any sort of help is appreciated due 5 pm
Answer:
{1,4,9,16,25,36,49,64,81,100}
Please help me on this problem, im struggling
Answer:
a
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
in fact if we look at the graph we can see that sausages are 7.5 % and mushrooms 5%, while in the table this datas are inverted.
Dahlia is simplifying (3 t) Superscript 4 using these steps:
(3 t) Superscript 4 = 3 t times 3 t times 3 t times 3 t = 3 times 3 times 3 times 3 times t times t times t times t
Although Dahlia is correct so far, which step could she have used instead to simplify the expression (3 t) Superscript 4?
(3 t) Superscript 4 = 3 t Superscript 4
3 Superscript 4 Baseline t = 81 t
4 (3 t) = 12 t
3 Superscript 4 Baseline t Superscript 4 Baseline = 81 t Superscript 4
Answer:
D would be the answer
Step-by-step explanation:
Took the test got it correct <33 good luck
how do i solve this using multi-step ?
Answer:
x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−4)=2(−2x+1)
(3 )(x)+(3 )(−4)=(2) (−2x)+(2) (1)(Distribute evenly)
3x+(−12)=−4x+2
3x−12=−4x+2
Step 2: Add 4x to both sides.
3x−12+4x=−4x+2+4x
7x−12=2
Step 3: Add 12 to both sides.
7x−12+12=2+12
7x=14
Step 4: Divide both sides by 7.
7x /7 =14 /7
x=2
у X -7 -5 -5 -4 -3 -2 ברן 4 LO- To 2 -3 -6 -7 In this graph, the v-intercept of the line is 1. The equation of the line is v=
Answer:
The y intercepts is -2
y = 1x-2
Step-by-step explanation:
The y intercept is where it crosses the y axis
The y intercepts is -2
We need to determine the slope, by using to points on the line
(0,-2) and (2,0)
m = (y2-y1)/(x2-x1)
= (0 --2)/(2-0)
= (0+2)/(2-0)
= 2/2
= 1
The equation for the line is
y = mx+b where m is the slope and b is the y intercept
y = 1x-2
What is the length of Line segment A C?
3 ft
4 ft
18 ft
12 ft
On edge unity pls help
Answer:
4
Step-by-step explanation:
because its 4
The length of Line segment AC is 12ft.
Similar trianglesThe given triangle ABC is similar to triangle BMN
The length of AM = BM = 4ft
The length AB = BM + AM = 4 ft + 4ft = 8ft
The length of Line segment AC is calculated by using similar triangle proportions as follows;
[tex]\frac{AB}{BM} = \frac{AC}{MN} \\\\\frac{8}{4} = \frac{AC}{6} \\\\2 = \frac{AC}{6}\\\\AC = 2(6)\\\\AC = 12 \ ft[/tex]
Learn more about similar triangles here: https://brainly.com/question/11899908
if the needle below is spun twice and the letters are recorded both times , which of the following would be the probability it would land on letters A and C (in either order)?
(1) 1/3
(2)2/3
(3)2/9
(4)5/6|
Jenna sells apples and pears. If 20 apples and 60 pears re sold every hour, there will be 80 pears when all the apples are sold. If 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold. How many pears are there at the stall?
Answer:
There are 1,360 pears.
Step-by-step explanation:
Suppose that there are P pears and A apples.
We know that:
"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."
Suppose that all of these are sold after N hours, then:
20*N = A
80*N = P - 80
We also know that:
"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."
60*N = A
20*N = P - 400
Then we have four equations:
20*N = A
80*N = P - 80
60*N = A
20*N = P - 400
From the first one and the second one, we get:
20*N = A = 20*N = P - 400
A = P - 400
Now we have 3 equations:
80*N = P - 80
60*N = A
A = P - 400
Now we can just replace the third equation into the second one, then we get:
60*N = A = P - 400
Now we have two equations:
80*N = P - 80
60*N = P - 400
Now, remember that we want to find the number of pears, so we want to find the value of P.
To do it, we can take the quotient of the two equations, so we get:
(80*N)/(60*N) = (P - 80)/(P - 400)
8/6 = (P - 80)/(P - 400)
Now we can solve this for P
(8/6)*(P - 400) = P - 80
(8/6)*P - (8/6)*400 = P - 80
(8/6)*P - P = (8/6)*400 - 80
(2/6)*P = (8/6)*400 - 80
P = (6/2)*( (8/6)*400 - 80 )
P = 3*( (8/6)*400 - 80 ) = 1,360
There are 1,360 pears.
Evaluate the expression 4 to the power of 3 ÷ (7 − 3) × 2.
Answer:
5.0625 is 1.5 to the fourth power
Answer:
8
Step-by-step explanation:
4 to the power of 3 is 64.
64 ÷ (7 − 3) × 2
64 ÷ (4) × 2
64 ÷ 8
8
Your answer is 8.
I hope this helps, have a nice day.
how can the position of a certain value in a given set of data be described and used in solving real-life problems?
4,570= 3thousands+___hundreds+ 7 tens
Answer: 4 thousands, 5 hundreds, 7 tens
Step-by-step explanation: 4,570 is pretty easy to break down. The first place value is 0 so nothing for that. As you have it there the tens place values has 7. Next is hundreds and there's a 5 there so 5 hundreds. If the number is 4,570 then it should be 4 thousands not three.
first answer gets most brainley
Answer:
What are we supposed to do on this
Step-by-step explanation:
Answer: the dilated point will be 2 units at the right of P, and 3 units above P.
Step-by-step explanation:
x y
-2 -5
-1 -2
0 1
1 4
2 7
Which equation could represent the data in the table?
y = 3x + 1
y = -3x + 1
y = -3x - 1
y = x - 3
Answer:
y+3x+1
Step-by-step explanation:
What does b stand for in this equation?
3b=12
A 1
B 2
C 3
D 4
Answer:
4
Step-by-step explanation:
3b=12
Divide each side by 3
3b/3 =12/3
b =4
Answer:
D. 4Step-by-step explanation:
Given,
3b = 12
=> b = 12 ÷ 3
=> b = 4 (Ans)
A water pail in your backyard has a small hole in it. You notice that it has drained a total of 2.5 liters in 4 days. What is the average change in water volume each day?
Answer:
0.625 liters
Step-by-step explanation:
Given data
volume drained= 2.5Liters
Time= 4 days
Now the if 4 days leakage will produce a volume of 2.5Liters
Then 1 day will produce a volume of x liters
cross multiply
4x= 2.5
x= 2.5/4
x= 0.625 liters per day
Hence, each day will produce 0.625 liters
Please answer properly.
Answer:
1) [tex]b=6[/tex]
2) [tex]m=4[/tex]
3) [tex]p=12[/tex]
4) [tex]x=-1\frac{2}{6}[/tex]
Step-by-step explanation:
[tex]b+6=12[/tex]
subtract 6 from both sides
[tex]b=6[/tex]
---------->>>>
[tex]9m=32+4[/tex]
combine like terms
[tex]9m=36[/tex]
divide both sides by 9
[tex]m=4[/tex]
---------->>>>
[tex]21=p+9[/tex]
Subtract 9 from both sides
[tex]12 = p[/tex]
---------->>>>
[tex](10+5)+3x=0[/tex]
Add within the parenthesis
[tex]5+3x=0[/tex]
subtract 5 from both sides
[tex]3x=-5[/tex]
divide both sides by 3
[tex]x=-1\frac{2}{6}[/tex]
Hope this is helpful to you.
David is six times older than Janet. If David is 48 years old, how old is Janet?
Answer:
David is six times older than Janet. If David is 48 years old, how old is Janet? Janet is 8 years old.
Step-by-step explanation:
48÷6=8
Write an equation that passes through the points (3, 6) and (1,-1)
Answer:
y = 7/2x - 9/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - 6 / 1 - 3
-7 / -2
7/2
y = 7/2x + b
-1 = 7/2(1) + b
-1 = 7/2 + b
-9/2 = b
Please help me with this question...
Answer:
my answer is in this picture. sorry about my presentation and English
If Megan sells 22 cakes, then f(22) = 121?
I don't know what the question is but I'm pretty sure the answer is 5.5.
X = 5.5 or the price of each cake is 5.5$
If = 6 units and = 8 units, what is the volume of the cylinder?
Use 3.14 for.
A. 678.24 cubic units
B. 414.48 cubic units
C. 904.32 cubic units
D. 527.52 cubic units
Answer:
C. 904.32 cubic units
Step-by-step explanation:
the volume = π×r²×h
= 3.14 × 6²×8
= 3.14×288
= 904.32
find the sum of (2x-12) from x=7 to x=16
Answer:
it's 2 obviously
Step-by-step explanation:
thanks
