Formula :-
[tex]\sf \: S.I \: = \frac{P.R.T}{100} \\ [/tex]
Given that :-
The interest received on Rs 5000 = interest received on Rs 6000 , when rate of interest on Rs 6000 is 8 % .
To Find :-
The rate of interest on rupees 5000 .
Solution :-
→ S.I = P.R.T/100
→ 5000.R. 1 / 100 = 6000 × 8 × 1 / 100
→ 50 R = 60×8
→ 50 R = 480
→ R = 480/ 50
→ Rate of interest = 9.6 %
So rate on Rs 5000 is 9.6 %
7is subtracted from the quotient of 48 divided by th
e sum of 5 & difference of 11 and 8
Answer:
7-48=41
÷
5+11-8
bodmas
5+3=8
41÷8=5.125
Answer:
-1
Step-by-step explanation:
48/(5+(11-8) -7
48/(5+3) -7
48/8 -7
6-7
-1
i hope it helped you. i tried you help you
Which point best approximatesStartRoot 3 EndRoot? A number line going from 0 to 4. Point a is between 0 and 1, point B is between 1 and 2, point C is at 2, and point D is at 3. A B C D
Answer:
B
Step-by-step explanation:
The square of 1 is 1, so 1 is less than the square root of 3.
The square of 2 is 4, so 2 is more than the square root of 3.
The point that lies between 1 and 2 is the best approximation of √3.
Answer:
B
Step-by-step explanation:
40% of an angle is the complement of 70°.Find the angle step by step
Answer:
Answer:
72°
Step-by-step explanation:
Start by putting the information you’re given into an equation. The angle measure is 4 times the compliment so it has the measure 4x.
Complementary angles are two angels with a sum of 90°.
So our equation will be 4x + x = 90
Add your like terms to get 5x = 90
Divide 90 by 5 to get x by itself.
X = 18
Since the angle we’re trying to find is 4 times the compliment you’re going to multiply 18 by 4 which will give you your answer of 72°
Ali's heart beats 320 times in 4 minutes. How many beats per minute is that?
Answer:
90 beats per minute
Step-by-step explanation:
320 divided by 4 is 90, which would mean that there is 90 beats per minute
Answer: the answer is 64 beats.
Step-by-step explanation:
The square root of 75 is_____ (round to the hundredths place if necessary)
Is the number, 0.692, rational or irrational?
Answer: It is rational because it can be converted to a fraction since it terminates.
Step-by-step explanation:
As
0.692 is rational because it can be a fraction; 173/250 or 692/1,000
♡ Hope this helps! ♡
❀ 0ranges ❀
Which statement about the stamps is correct?
Karl has stamps in his desk drawer. The possible
combinations of stamps are shown below.
Karl's Stamp Collection
The total number of stamps is 25.
The total value of the stamps is $18.75.
The total number of stamps is 35.
The total value of the stamps is $19.15.
Number of
Number of
45-cent stamps 65-cent stamps
18
17
2015
22
13
10
25
Answer: C.) The total number of stamps is 35.
Step-by-step explanation:
Given the table :
No of 45-cent stamp - - - No of 65-cent stamp
- - - - - - - 18 - - - - - - - - - - - - - - 17
- - - - - - - 20 - - - - - - - - - - - - - - - 15
- - - - - - 22 - - - - - - - - - - - - - - 13
- - - - - - 10 - - - - - - - - - - - - - - - - 25
Verifying each option stated :
Total value of stamp:
Each row add up to 35. Example (18 + 17) = 35
(20 + 15) = 35
(22 + 13) =35
(10 + 25) = 35
Total value of stamp:
Using the first row:
45 cent = $0.45 ; 65 cent = $0.65
(10 * 0.45) + (25 * 0.65)
= $4.5 + $16.25 = $20.75
Not all rows add up to $19.15
Answer:
Your answer is C
Step-by-step explanation:
Match the following values as a A) discrete random variable, B) continuous random variable, or C) not a random variable: Exact weight of quarters now in circulation in the United States ________ Shoe sizes of humans ________ Political party affiliations of adults in the United States ________
Answer:
Exact weight of quarters now in circulation in the United States (continuous random variable )
Shoe sizes of humans (discrete random variable)
Political party affiliations of adults in the United States ( random variable)
Step-by-step explanation:
continuous random variable: this is a random experiment where the data usually assume an infinite mode. meaning it is continuous.
discrete random variable: this is the assigning of values based on the outcome of a radom experiment.
random variable: a random variable is a set of possible outcomes from a random experiment
Given: 5x – 21 = 24
Prove: X = 9
list the statements
What is the perimeter of the parallelogram?
Answer: 36
Step-by-step explanation:
The top and bottom of the parallelogram both have lengths of 8.
To determine the length of the parallel diagonal sides, form a right triangle using the left side of the parallelogram as its hypotenuse (in red in my diagram below).
The right triangle has legs of length 6 and 8, so the length of the hypotenuse (c) is:
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
c = 10
Thus the two diagonal sides of the parallelogram must both have a length of 10, so the perimeter of the parallelogram is 8 + 10 + 8 + 10 = 36.
Which number line represents the solution to the inequality 4x +20 <40
Step-by-step explanation:
The solution of the line x<5
Inequalities are used to represent unequal expressions
The solution to the inequality [tex]4x + 20 < 40[/tex] is [tex]x < 5[/tex]
The inequality is given as:
[tex]4x + 20 < 40[/tex]
Subtract 20 from both sides of the inequalities
[tex]4x < 20[/tex]
Divide both sides of the inequalities by 4
[tex]x < 5[/tex]
This means that the solution to the inequality [tex]4x + 20 < 40[/tex] is [tex]x < 5[/tex]
See attachment for the number line
Read more about inequalities at:
https://brainly.com/question/18881247
When converting θ = π/3 to a Cartesian equation, let x = ____
1/2 r
√2/2 r
√3/2 r
The equations
[tex]x = r*\cos(\theta)\\\\y = r*\sin(\theta)[/tex]
are useful to convert from polar to Cartesian
So,
[tex]x = r*\cos(\theta)\\\\x = r*\cos\left(\frac{\pi}{3}\right)\\\\x = r*\frac{1}{2} \ \text{ use unit circle} \\\\x = \frac{1}{2}r[/tex]
Answer: Choice AIn ΔABC, if m∠CAD = 29°, the m∠DAB is
Answer:
Angle DAB is 29°.
Step-by-step explanation:
The lines in the two angles show that they are equal.
So angle DAB is equal to angle CAD.
m∠DAB is 29°
Given:
m∠CAD = 29°
From the image given showing ΔABC, the two angles, ∠CAD and ∠DAB are congruent to each other. This is indicated in the diagram with each single stroke on each angle.
Congruent angles are equal to each other.
∠CAD and ∠DAB are congruent angles.
Thus,
m∠CAD = m∠DAB = 29°
Therefore, m∠DAB is 29°
Learn more about congruent angles here:
https://brainly.com/question/5218184
The measures of two angles of a triangle are 49° and 75°. Find the measure of the third angle in degrees.
Solve the inequality –7x > 21. What is the graph of the solution?
Answer: X
Step-by-step explanation:
Answer:
x < -3
Step-by-step explanation:
–7x > 21
divide each side by -7, remembering to flip the inequality
-7x/-7 < 21/-7
x < -3
open circle at -3, line going to the left
The central angle of sector R is 38° and the central angle of sector Q is 39°. What is the probability that the spinner does not land on Q or R? P Q R S T U
Answer: 0.786
Step-by-step explanation:
Here i would assume that:
Sector R and Sector Q do not have any sections in common.
Then, the probability that the spinner does not land on Q or R, is equal to the probability where the spinner does not land in a specified section of:
38° + 39° = 77°.
Now, the total section off the spinner is 360°.
If we remove those 77°, we have a section of:
360° - 77° = 283°
So we have 283° where the spinner CAN land on.
Then the probability that the spinner does NOT land on R or Q is equal to the quotient between the section of the spinner that is not R or Q, and the total section of the spinner"
P = 283/360 = 0.786
So the probability is 0.786
Given distance = speed x time How far would someone go if they drove 50 miles per hour for 30 minutes?
Answer:
25 miles
Step-by-step explanation:
We need to convert 30 minutes to hours
30 minutes * 1 hour/ 60 minutes = .5 hours
distance = speed x time
distance = 50 mph * .5 hours
= 25 miles
In the equation 18/2 = 9, nine is the:
Answer:
Quotient.
Step-by-step explanation:
You get a quotient by dividing something. It is the end result, the solution.
Answer: quotient
Step-by-step explanation: The answer to a division
problem is called the quotient.
So here we say the quotient of 18/2 is 9.
The graph below is a portion of the complete graph. On a separate sheet of paper sketch the complete graph assuming it is symmetric with respect to the x-axis. Then list 3 points from the new part of the graph that you sketched.
Answer:
(-1, -3), (-2, -5), (-5, -8),(-8, -5), (-9, -3)
Step-by-step explanation:
These are the options of points to pic from. :)
have a good day.
When bisecting a line segment, why must you find the intersection points of the arcs both above and below the line segment?
(1 point
The intersection point above the line segment overestimates the midpoint, while the intersection point below the line segment
underestimates the midpoint
Only one intersection point is needed to find the midpoint, but finding both points allows you to check your work
Finding both intersection points helps if the line segment is not completely vertical or horizontal
Ite
To make sure that you get a straight ine to bisect the line segment
Answer:
To make sure that you get a straight line to bisect the line segment
Step-by-step explanation:
Answer:
The last option.
Step-by-step explanation:
You get a straight line that passes through the midpoint.
The parabola $y = ax^2 + bx + c$ is graphed below. Find $a+b+c$. (The grid lines are one unit apart.)
If [tex]x=0[/tex], then [tex]y=a\cdot0^2+b\cdot0+c=5[/tex], so [tex]c=5[/tex].
If [tex]x=1[/tex], then [tex]y=a\cdot1^2+b\cdot1+c=2[/tex], so [tex]a+b+5=2[/tex] or [tex]a+b=-3[/tex].
If [tex]x=2[/tex], then [tex]y=a\cdot2^2+b\cdot2+c=1[/tex], so [tex]4a+2b+5=1[/tex] or [tex]2a+b=-2[/tex].
We have
[tex]a+b=-3\implies -a-b=3[/tex]
[tex](2a+b)+(-a-b)=-2+3[/tex]
[tex]\implies a=1\implies b=-4[/tex]
So we end up with
[tex]a+b+c=1+(-4)+5=\boxed{2}[/tex]
a natural number is ____ a rational number
The Rational numbers ( Q ) include the Natural numbers ( N ):
A natural number is always a rational number.
:)
please help me!!!!!
Answer: 194
Step-by-step explanation:
1. Square both sides to get (b+2)=14^2=196
2. Subtract 2 from both sides to get b=194
(-5) + (-4) can some answer this problem please!
Answer:
-9
Step-by-step explanation:
Two negatives when adding them together make a negative.
Answer:
(-5)+(-4) = -9
Step-by-step explanation:
You start at -5 then when you add -4 you go 4 back from -5. which bring you back to -9-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1
<------------
Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.
Answer:
[tex]k=4[/tex]
Step-by-step explanation:
So we have the graphs of f(x) and g(x).
And we know that g(x) is defined as f(kx), where k is some constant.
First, from the graph we can note two points:
For g(x), we have the point (1,10) and for f(x), we have the point (4,10).
In other words:
[tex]g(1)=10[/tex]
And since we know the g(x) is f(kx), this means that:
[tex]g(1)=10\\g(1)=10=f(1(k))=10[/tex]
And we know the for f(x) to be 10, the initial value is 4. Therefore:
[tex]f(1(k))=10=f(4)\\1k=4\\k=4[/tex]
Therefore, the value of k is 4.
Answer:
[tex]\huge \boxed{k=4}[/tex]
Step-by-step explanation:
The graph of g(x) crosses the point (1, 10).
The graph of f(x) crosses the point (4, 10).
So, g(1) = 10. The x (input) is 1. The output is 10.
f(4) = 10. The x (input) is 4. The ouput is 10.
g(1) = f(4)
g(x) = f(k ⋅ x)
g(1) = f(k ⋅ 1)
f(k ⋅ 1) = f(4)
k ⋅ 1 = 4
k = 4
This year, Perez’s Ski Shop had a profit of $80,000. This is 250 percent of last year’s profit. What was the profit of Perez’s Ski Shop last year?
Answer:
$32,000 was the profit last year.
Step-by-step explanation:
Answer:
The answer is 32000 profit
Step-by-step explanation:
I just did quiz hope it helps :)
The school population for a certain school is predicted to increase by 60 students per year for the next 13 years. If the current enrollment is 900 students, what will the enrollment be after 13 years?
Answer:
1,680
Step-by-step explanation:
If the population is increasing by 60 for the next 13 years, we must multiply 60 and 13 to get 780.
Then, we just add 780 to the original population to get 1,680!
The enrollment after 13 years will be 1680.
We have a whose school population is predicted to increase by 60 students per year for the next 13 years. Current enrollment in that school is 900 students.
We have to determine the enrollment be after 13 years.
Starting from x, if the bacteria count rises by 5 every second, then determine the formula to calculate the bacteria count after 30 seconds.Initial count = x
Count increasing per second = 5
Assume that the bacteria count after t seconds is y. Then -
y = x + 5t
for t = 30 ↔ y = 150 + x
According to question, we have -
Initial population P(i) = 900
Assume the population after the n years is P(n).
Number of students enrolled in 'n' years will be = 60n
Therefore, the following equation can be used -
P(n) = P(i) + 60n
For n = 13 years
P(13) = 900 + 60 x 13 = 900 + 780 = 1680
Hence, the enrollment after 13 years will be 1680.
To solve more questions on equation modelling visit the link below -
brainly.com/question/20876878
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If the discriminant of a quadratic equation is 4 which statement describes the roots.
Answer:
2 real roots
Step-by-step explanation:
If the discriminant is >0 then the equation has 2 real roots
If the discriminant is =0 then the equation has 1 real roots
If the discriminant is <0 then the equation has 2 complex roots
since the discriminant is 4, it has 2 real roots
Answer:
It will have 2 real roots
Step-by-step explanation:
4>0 :)
Mary needed capital for her bakery. She borrowed $60 000 for 4 years at a simple interest rate of 8% per year. How much money will Mary pay at the end of 4 years?
Answer:
$ 79600
Step-by-step explanation:
interest=prt (p is the amount borrowed, r is the rate, t is the time)
p=60000 , r=8%=0.08 , t=4 years
interest=60000*0.08*4
A=19600
the amount paid at the end of 4 years: 60000+19600=$79600
(9)(-4)(6)
please help!
Answer:
-216
Step-by-step explanation:
6*9= 54
54* (-4) = -216