Answer:
The equation of the circle is
Formula :
(x- h ) ² + (y-k )² = r²
or, x²-20x +100 + y² -8y + 16 = 16
or, x² + y² -20x -8y + 100 = 0 is the required equation
The difference between the interest for first and second year on a sum of money compounded annually is rs 30 if the rate of interest is 5% what was the sum of money deposited
Answer:
$600.00
Step-by-step explanation:
The difference between the interest for first and second year on a sum of money compounded annually is rs 30 if the rate of interest is 5% what was the sum of money deposited
We solve using Compound Interest formula which is given as:
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 per year,
Then, solve the equation for P
P = I / ((1 + r/n)^nt - 1)
P = 30 / ((1 + 0.05/1)^(1×1) - 1)
P = 30 / ((1 + 0.05)^(1) - 1)
P = $600.00
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2 -5 -8
b) -7 -12 -17 -22 -27
0.16 which number is in the hundreds place
Answer:
A decimal is always placed in this order :
thousands, hundreds, tens, separator, tenths, hundredths, thousandths.
In this case, the number 6 is in the hundredths place, and there is no HUNDREDS place.
Edmund and Lucy go to a toy shop. Edmund does not have enough money to buy the toy he wants. He says to Lucy, 'If you give me ₹ 40, I can buy my toy. But you will have ₹ 10 less to buy your toy." How much money does Lucy have?
Answer and explanation:
Assuming Edmund has $0
From Edmund, we know the toy costs $40(assuming it's in dollars)
Lucy gives him $40 and has $10 less($40-$10) to buy her own toy
Therefore Lucy had $40+$30= $70 before giving Edmund $40 for his toy.
Lucy currently has $70-$40 =$30, therefore needs $10 more to buy her own toy
(a) A Ship sails due north from point P to a point 0.4 km away. It then sails on a bearing
of 090° to a point R, 3 km from Q.
(1) Illustrate the information in a diagram.
Find the length PR
Answer:
write these time in words 3:45
A ride-share company has a fee that includes a fixed cost and a cost that depends on both the time spent travelling, in minutes, and the distance travelled, in kilometres. The fixed cost of a ride is $2.55 Judy's ride costs $16.75 and took eight minutes. The distance travelled was 10 km. Pat's ride cost $30.35 and took 20 minutes. The distance travelled was 18 km. Roy's ride took 10 minutes. The distance travelled was 15 km. Find the cost of Roy's ride.
Answer:
the cost of Roy's ride is $23.05
Step-by-step explanation:
According to the Question,
Let, Cost of per minute charge is 'x' & Cost Of Per Kilometre charge is y .
Given, A ride-share company has a fee of the fixed cost of a ride is $2.55 .And, The Total cost of the Ride depends on both the time spent on travelling(in minutes), and the distance travelled(in kilometres) .⇒ Judy's ride costs $16.75 . but the actual cost after deducting the fixed charge is 16.75-2.55 = $14.20, took 8 minutes & The distance travelled was 10 km. Thus, the equation for the journey is 8x+10y=14.20 ⇒ Equ. 1
⇒ Pat's ride costs $30.35 . but the actual cost after deducting the fixed charge is 30.35-2.55 = $27.80, took 20 minutes & The distance travelled was 18 km. Thus, the equation for the journey is 20x+18y=27.80 ⇒ Equ. 2
Now, on Solving Equation 1 & 2, We get
x=0.4(Cost of per minute charge) & y=1.1(Cost Of Per Kilometre charge)
Now, Roy's ride took 10 minutes & The distance travelled was 15 km . Thus, the cost of Roy's Ride is 10x+15y ⇔ 10×0.4 + 15×1.1 ⇔ $20.5
Hence, the total cost of Roy's ride is 20.5 + 2.55(fixed cost) = $23.05
I don't get how to do this.
Answer:
426 chickens
Step-by-step explanation:
let the pigs = x
the ducks = 2×x = 2x
the chickens = 3×(2x) = 6x
x +2x +6x = 639
9x=639
x = 639/9 = 71
the chickens = 6x = 6×71 = 426
Answer:
[tex]426\:\mathrm{chickens}[/tex]
Step-by-step explanation:
Since a duck has two legs, a pig has four legs, and a chicken has two legs, we can write the following system of equations:
[tex]\begin{cases}d+p+c=639,\\d=2p,\\c=3d\end{cases}[/tex], where [tex]d[/tex] is the number of ducks on the farm, [tex]c[/tex] is the number of chickens, and [tex]p[/tex] is the number of pigs.
Substituting, we get:
[tex]d+\frac{1}{2}d+3d=639,\\4.5d=639,\\d=\boxed{142}[/tex]
Now substitute [tex]d=142[/tex] into [tex]c=3d[/tex] to get the number of chickens:
[tex]c=3(142)=\boxed{426\:\mathrm{chickens}}[/tex]
Which expression is equivalent to f+f+8ff+f+8f?
Answer:
8f² + 11f
Step-by-step explanation:
there are no expressions listed
This is the expression simplified
8f² + 11f
MATH HELP PLEASE DUE SOON
Answer:
a. Alternate exterior angles.
b. <A and <B are congruent. This diagram involves a line intersecting two parallel lines, forming the congruent angles <A and <B on opposite sides of the transversal.
c. They are alternate exterior angles like <A and <B, but because it is not guaranteed that the transversal is intersecting parallel lines in this case, we cannot prove that <C and <D are congruent alternate exterior angles.
Use completing the square to solve this quadratic equation. Check all that apply.
x + 10x + 25 = 2 D
A. x = 5+ m2
B. x = 5 - 12
C. x= -5 +_2
D. x= -5-2
Answer: x= -5+ 2 squared.
Step-by-step explanation:
What is a name for the marked angle?
Picture given
Answer:
L DAC
Step-by-step explanation:
__________________
What is the value of y ?
Answer:
67
Step-by-step explanation:
Answer.
67°
Step-by-step explanation:
the two lines are parallel so,
angle on line XY 67° is alternate angle on BD so, angle will be opposite angle y.
therefore, angle y= 67°
i got help from an awesome app called Gauthmath you can check it out on play store and app store. in my opinion avery good app with tutors and concept videos.
what is f(0) for the function f(x) =2x+3
Answer:
3
Step-by-step explanation:
f(x) =2x+3
Let x=0
f(0) =2*0+3
Multiply
f(0) =0+3
Add
f(0) =3
Answer:
3
step-by-step explanation
f ( x ) = 2 x + 3
f ( 0 ) = 2 × 0 + 3 .. ( f ( x = 0 ) - given )
multiply
f ( 0 ) = 0 + 3
Add the numbers
f ( 0 ) = 3
add the following decimals
Answer:
148.91
Step-by-step explanation:
hope it helps<333
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction
The number b varies directly with the number a. For example b= 2 when a = -2
-2. Which equation represents this
direct variation between a and b?
Obra
O b = a
Ob-a= 0
Ob(-a) = 0
Answer:
b = -a
Step-by-step explanation:
We know that:
On a number line, the distance between 0 and b is the same distance that between 0 and a (but b and a are in opposite sides of zero).
And we know that, for example, when:
b = 2, a = -2
Remember that the distance between two values is given by:
|n - m|
Then the distance between 0 and b is:
|0 - b|
and the distance between 0 and a is:
|0 - a|
we have:
|-b| = |-a|
|b| = |a|
But the numbers are in opposite sides of the zero, so one must be positive and the other negative, then we can conclude that:
b = -a
or
-b = a
(these are equivalent)
Then the correct option is the first option:
b = -a
I have five numbers, the mean is 6, and the mode is 7 what could these numbers be?
Answer:
3, 5, 7, 7, 8
Step-by-step explanation:
3, 5, 7, 7, 8
the mean = (3+5+7+7+8)/5 = 30/5= 6
the mode = 7
Convert r=5/3sinθ−cosθ to rectangular form.
Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.
Answer:
y = 1/3 x + 5/3
Step-by-step explanation:
For rectangular to polar
x = rcosθ ... 1
y = rsinθ ... 2
Given the expression
r=5/3sinθ−cosθ
Cross multiply
r(3sinθ−cosθ) = 5
Expand
3rsinθ−rcosθ = 5 ..3
Substitute 1 and 2 into 3
3y - x = 5
Write in slope intercept form
3y = x + 5
Divide through by 3;
3y/3 = x/3 + 5/3
y = x/3 + 5/3
y = 1/3 x + 5/3
Hence the expression in slope-intercept form is y = 1/3 x + 5/3
how to prove sinA+sin2A/1+cosA+cos2A=tanA
Answer:
my answer is in this picture. sorry about my handwriting.
Help ASAP please!!!!!!!!!
Answer:
1/4
Step-by-step explanation:
pitches >3
pitches=4,5
P=(15+10)/(15+20+40+15+10)=1/4
Peggy had four times as many quarters as nickles. She had $2.10 in all. How many nickles and how many quarters did she have?
Which of the following equations could be used to solve the problem?
n+4n=2.10
n+4n=210
5n+100n=2.10
5n+100n=210
Answer:
the answer is the third option
Step-by-step explanation:
Graph the picture nes whose equation is 2y=-3x-2
Answer:
Picture Below
Step-by-step explanation:
You can simplify it by dividing it into
y = -1.5x-1
there are 3 method to show that 40 is the sum of two prime. among all the prime , find the difference between the two largest prime
Answer:
the difference is 39? for the answer
Step-by-step explanation:
The question is not exactly worded in such a way that one can tell how it should be answered.
If it means that 40 is the suim of 2 primes done 3 ways then the 3 answers are
17 + 23
37 + 3
11+ 29
So the difference between 37 and 29 = 8
There are no guarantees about this answer. I'm just doing it the way the question reads.
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 66m wide. What is the length of a training track running around the field? (Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.)
Answer:
401.24m
Step-by-step explanation:
the length is,
97x2 + 66x3.14
Using the graph, determine the coordinates of the vertex of the parabola.
Answer:
The coordinates of the vertex is (6,4).
Step-by-step explanation:
The vertex is the highest or lowest point on the parabola (curved line).
ASAP!!!!!! Factor the trinomial x^2 + 7x + 12
I need help with this
7/10= 28/40
5/8=25/40
0.8=4/5=32/40
32>28>25
So 0.8>7/10>5/8
The equation y = –2x determines a linear function. Which table lists the coordinates of three ordered pairs that lie on the graph of this function?
Answer:
It b
Step-by-step explanation:
Answer:
It's A
Step-by-step explanation:
I did the test
I kinda need help
What is the fraction 1/4 in decimal form?
I need help with this one to
Solve 3^3
Answer: easy
Step-by-step explanation: 0.25 there
A man borrows Rs. 50000 at 12% p.A., compounded half-yearly. He pays back Rs. 18000 at the end of every six months. Calculate the third payment, he has to make to clear the entire loan
Answer:
Rs. 20246
Step-by-step explanation:
According To the Question,
Given, A man borrows Rs. 50000 at 12% per Annum(compounded half-yearly). Thus the Rate of Interest for 6 months would be 6%. Now, He pays back Rs. 18000 at the end of every six months.Thus, the third payment, he has to make to clear the entire loan.
First-Payment = ( 50000 x 1.06 ) - 18000 ⇔ 35000 Rs.
Second-Payment = (35000 x 1.06) - 18000 ⇔ 19100 Rs.
Third-Payment = (19100 x 1.06 ) ⇔ 20246 Rs. the third payment, he has to make to clear the entire loan.
Natalie and Warren started swimming laps in the pool at 5:47. Natalie finished swimming her laps 27 minutes later. Warren finished swimming his laps 8 minutes after Natalie. What time did Warren finish his laps?
Answer:
6:22
Step-by-step explanation:
original time minutes when they both started - 47
47+ natalie's time
47+27 =74
minus 60 minutes to account for the hour (6 o'clock)
74-60=14
natalie finished at 6:14
warren finished 8 minutes after natalie's time
14+8=22
the hour did not finish so it will remain at 6
which leaves your final answer for the time that warren finished as 6:22