Given:
In the first year, the car will decrease in value by 25%.
The cost of a car is Rs. 200,000.
To find:
The worth of the car after 1 year.
Solution:
The cost of a car is Rs. 200,000 and in the first year the car will decrease in value by 25%. So, the worth of the car after 1 year is:
[tex]Worth=200000-\dfrac{25}{100}\times 200000[/tex]
[tex]Worth=200000-\dfrac{1}{4}\times 200000[/tex]
[tex]Worth=200000-50000[/tex]
[tex]Worth=150000[/tex]
Therefore, the worth of the car after 1 year is Rs. 150,000.
Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 mile per hour slower than the other. If the two cyclists are 56 miles apart after 2 hours, what is the rate of each cyclist.?
Answer:
12 mph and 16 mph
Step-by-step explanation:
distance = speed * time
56 = s * 2 + (s - 4) * 2
56 = 2s + 2s - 8
56 = 4s - 8
64 = 4s
16 = s
s = 16
s - 4 = 12
Let the speed of the faster bike = X
The slower bike would be x - 4 ( 4 mph slower)
Multiply each speed by time and add to equal total distance:
2x + 2(x-4) = 56
Simplify:
2x + 2x -8 = 56
4x -8 = 56
Add 8 to each side:
4x = 64
Divide both sides by 4:
x = 64/4
x = 16
The faster bike rode at 16 miles per hour
The slower bike traveled at 16-4 = 12 miles per hour
solve the radical. x+4=sqrt x+10 what is the extraneous solution to the radical equation
Answer:
-6 is an extraneous solution.
Step-by-step explanation:
We can start by solving this problem.
First, to remove the square root, we can square both sides.
[tex](x+4)^{2} = x + 10\\x^2 + 8x + 16 = x + 10\\[/tex]
Next, we can subtract both sides by (x+10)
[tex]x^2 + 7x + 6 = 0\\[/tex]
Then, we can factor out the equation.
[tex](x+1)(x+6) = x^2 + 7x + 6 \\= 0[/tex]
Given this, it seems like -1 and -6 would be correct. Plugging this back into the original equation, though,
-1 + 4 = √(-1 + 10)
3 = 3
-6 + 4 = √(-6+10)
-2 ≠ 2
Therefore, -6 is an extraneous solution.
How might we know whether x is a positive number, negative number, or zero, without solving the equation?
Volume=
A) 91 2/3 pie cubic units
B) 275 pie cubic units
C) 36 2/3 pie cubic units
the volume is 1/3 * height *area of the base (the circle) in cubic units
the area of the circle is pi*r²
wich gives us
1/3 * 11 * pi * 5²
rearrange
= 5² * 11 * 1/3 * pi
= 25*11*1/3*pi
= 275*1/3*pi
= 275/3 *pi
= (91 2/3)*pi
in cubic units
so your answer is the first option
Cherries in cherry pie at Barnett's Bakery. 0-29 30-59 60-89- 90-119 129-149 How many cherry pies have 90 or more cherries?
Answer:
7 cherry pies
Step-by-step explanation:
the cherry pies that have 90 or more cherries =
4 + 3 = 7
Connor's balcony is 5 feet wide and 9 feet long. Connor paid $3.00 per square foot to have the balcony stained. How much did he pay?
Answer:
135
Step-by-step explanation:
9*5=45*3=135
Write 0.00467 in standard form
Answer:
[tex]\frac{0.00467}{100000}[/tex]
Step-by-step explanation:
Given :
0.00467
Now,
[tex]0.00467=\frac{0.00467}{100000}[/tex]
Standard form of given equation is :
[tex]\frac{0.00467}{100000}[/tex]
Which theorem proves that the triangles are congruent?
A. AAS
B. ASA
C. SAS
D. SSS
Answer:
D. SSS
Step-by-step explanation:
SSS (Side-Side-Side) is a proof of congruence where two triangles share three sides.
Answer:
SSS
Step-by-step explanation:
We are given that the triangle has all congruent sides therefore we can prove that the triangles are similar by the SSS theorem ( side - side - side )
Consider the points P(0,5), Q(9, 2), R(7, -4), and S(-2, -1). What type of quadrilateral
do these points form? Justify your answer mathematically in the space below.
Answer:
a trapezium
Step-by-step explanation:
by plotting and joining the points you will see a quadilateral with four sides which has one pair of opposite sides parallel but not equal and that is a trapezium
Please help me solve my problem!!!
Answer:
The answer is False.
Step-by-step explanation:
Cause consecutive angles for parallelogram are supplementary.
Which of the following graphs represents a function that has a positive
leading coefficient? Check all that apply.
I need help please please!!!
Answer:
y = 91
Step-by-step explanation:
y = 5² + 10(5) + 16
y = 25 + 50 + 16
y = 91
Need help on this!! Will give 20 points!!!
Answer:
80 mm
Step-by-step explanation:
1/p + 1/20 = 1/16
Subtract 1/20 from both sides
1/p = 1/16 - 1/20
Use 160 as common denominator
1/p = 10/160 - 8/160
1/p = 2/160
1/p = 1/80
Cross multiply
80 = p
80 mm
Please help ASAP thank you
rotation,
glide reflection,
reflection,
translation.
Answer:
it appears to have TRANSLATED
a radio cost 5400 discount of 121/2% what is the cash price
Answer:
2133$
Step-by-step explanation:
5400-(5400$ *60.5/100)
Find the value of x.
42°
(5x + 2)
Help is very much appreciated
Answer:
Options : B & D
Step-by-step explanation:
E(x) = 10x - 30 , where x is the number of doors she knocks
Given she has to pay her own expense.
So whatever she earns $30 is reduced from it ,for her expense.
Option A: She can earn $10 even if she does not knock
any doors - False
That is, x = 0
When x = 0 , E (x) = 10 ( 0 ) - 30 = - 30
=> she loses $30.
Option B :Her expenses are $ 30 per week - True
E(x) = 10x - 30
Expenses are reduced from her earnings.
Option C: She will lose $10 per week if she does not knock
any doors - False.
Already checked on option A that if she does not knock
on any door, means x = 0 , then loses $30.
Option D : If she does not knock on any doors at all during
the week , she will lose $30 - True
Abox of twelve granola bars was $3.60. What was the unit cost per bar?
Answer:
cost of 12 bars = $3.60
cost of 1 bar = $3.60 ÷ 12
= $0.3
hope it helps
have a nice day
Answer:
$0.30
Step-by-step explanation:
12 granola bars = $3.60
1 granola bars = $3.60/12 = $0.30
i) A farm employs 30 men working 40 hours a week. When some of the men are ill, the
rest have to work 50 hours a week to make up the lost time, how many men are ill?
Answer:
hi hi hi hi hi hi hi HI hi hi hi hi hi hi hi hi hi hi hi hi hi
Answer:
6 men are ill.
Step-by-step explanation:
the work of 30 men in 40 hours is the product
30×40
an unknown number of men (x) is sick, and now the remaining workers do the same work in 50 hours
(30-x)×50
so,
30×40 = (30-x)×50
1200 = 1500 - 50x
-300 = -50x
x = 6
Please help me. I am confused, and I will give you anything you want. Just help me i swear I do anything. SOS. I just need one question to be answer
Emma and Zeke own an online business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.
please answer the question by reading the text. also what is the relationship between
1) Write an equation describing the relationship between
Answer:
Step-by-step explanation:
P= plain coasters
L= logo coasters
3(P+L) +25 if they want to buy logo coasters or logo and plain coasters
3P if they want to buy plain coasters
no matter the amount of logo coasters there is a one time charge of $25
So we do not need to know how many with logo
The prize of both kind of coaster is $3
18 2by5-4 1by10 find the difference
Given:
The expression is:
[tex]18\dfrac{2}{5}-4\dfrac{1}{10}[/tex]
To find:
The difference.
Solution:
We have,
[tex]18\dfrac{2}{5}-4\dfrac{1}{10}[/tex]
It can be rewritten as:
[tex]=\dfrac{90+2}{5}-\dfrac{40+1}{10}[/tex]
[tex]=\dfrac{92}{5}-\dfrac{41}{10}[/tex]
Taking LCM, we get
[tex]=\dfrac{184-41}{10}[/tex]
[tex]=\dfrac{143}{10}[/tex]
[tex]=\dfrac{140+3}{10}[/tex]
[tex]=14\dfrac{3}{10}[/tex]
Therefore, the value of the difference is [tex]14\dfrac{3}{10}[/tex].
a half + a quarter , HELP PLZ RNN
Answer:
Three quarter
Step-by-step explanation:
;]
Answer:
3/4
Step-by-step explanation:
1/2 + 1/4
2/4 + 1/4
2+1/4
3/4
PLZZZ HELPPPP!!!!!!!!!!!!!!
Answer:
$205.60
160(1.135)+ 160(.15)
Step-by-step explanation:
micheal has $550 in his savings account he took out $30.75 every month for one year what is the net change in michaels account balance following these withdrawals
Answer:
$ 181
Step-by-step explanation:
He has total savings account= $550
If he took out every month = $ 30.75 ,
Total account he has took out in a year = $ 30.75 × 12= $ 369
micheal has total balance = $ 550 - $369
= $ 181
CAN SOMEONE PLEASE ANSWER THESE TWO QUESTIONS?! I NEED HELP!
Answer:
B ; A
Step-by-step explanation:
1) The first operation that we have to do is the division
2) we have to added up the the fishes
Need help! I will give brainless to person who helps
Answer:
1. X-intercept
Step-by-step explanation:
Answer:
quadranttwo
linear
Step-by-step explanation:
1 across
quadranttwo
14 across
linear
However, does these questions will be marked as brantliest !!!!
Answer:
i don't see questions but I'll go download the app on your picture:))
4.79 × 10^-6
0.0000000734
Hope this helps! :)
HELP ME PLEASE I NEED HELP
Answer:
10, and -8.
Step-by-step explanation:
So we know a = -4
We also know that b = 2
Lets plug in a = -4 and b = 2 into b-2a:
2-2(-4)
=
2--8
A minus and minus make a plus, so:
2+8 = 10
So the answer is 10.
Next lets plug in a = -4 and b = 2 into [tex](a+b)^3[/tex]:
[tex](-4+2)^3[/tex]
=
[tex](-2)^3[/tex]
=
-8
So the second answer is -8.
Hope this helps!
Answer:
a= 2-2(-4)= 10
b= -4^3+2^3+3(-4)(2) (-4 - 2)= 8
Find the volume of a pyramid with a square base, where the area of the base is 11.1\text{ in}^211.1 in 2 and the height of the pyramid is 15.3\text{ in}15.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
56.6in³
Step-by-step explanation:
volume of a pyramid = 1/3 x Area of base x height
1/3 x 11.1 x 15.3 = 56.61 in³
56.6 in³ to the nearest tenth
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
the hundredth term is 1 which is less than 5. O is added to 6