Answer: 14000
Step-by-step explanation:
From the question, the first thing is to first calculate the simple interest (S.I). This will be:
S.I = (principal × rate × time)/100
where principal = 10,000
rate = 4%
time = 10 years
Simple interest = (10,000 × 4 × 10)/100
= 400000/100
= 4000
The total value after 10 years will be th addition of the amount invested and the interest. This will be:
= 10,000 + 4000
= 14000
Amrita thinks of a number. She doubles it, adds 9 , divides her answer by 3 and finally subtracts 1 . She obtains the same number she originally thought of. What was Amrita's number?
Answer:
Amrita's number is 6
Step-by-step explanation:
x Double the unknown number
2x Add 9
2x + 9 Divide the answer by 3
2/3x + 3 Subtract 1
2/3x + 2 Set this equal to the original number
2/3x + 2 = x
-2/3x -2/3x Subtract 2/3x from both sides
2 = 1/3x Multiply both sides by 3
6 = x
Amrita's number was 6.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = x
We can write an expression from the given statement.
{ (2x + 9) ÷ 3 } - 1 = x
Solve for x.
{ (2x + 9) ÷ 3 } - 1 = x
(2x + 9)/3 - 1 = x
2x + 9 - 3 = 3x
Add 3 on both sides.
2x + 9 = 3x + 3
Subtract 9 on both sides.
2x = 3x + 3 - 9
2x = 3x - 6
6 = 3x - 2x
x = 6
We can cross-check.
{(2 x 6 + 9) ÷ 3} - 1 = 6
{(12 + 9) ÷ 3} - 1 = 6
7 - 1 = 6
6 = 6
Thus,
The number was 6.
Learn more about expressions here:
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Mr. Mole left his burrow and started digging his way down.
A represents Mr. Mole's altitude relative to the ground (in meters) after t minutes.
A= -2.3t – 7
How fast did Mr. Mole descend?
Answer:
He's descending at a pace of 2.3 meters per minute.
Step-by-step explanation:
This is because the equation shows us the slope or the speed he's going at.
A= -2.3t - 7
A= Altitude
-2.3 = Slope
- 7 is his starting altitude in meters
But every minute, t, he is going down 2.3 meters. It's easier to think about if you consider, A = y, and, t = x. Now you have the equation, y = -2.3x - 7.
And you graph it to see the progression in slope.
If the mean of m, n, s, P and q is 12.
Calauate the mean of (m + 4), (n-3),(s+6)
(p-2) and (q+8).
Answer:
Step-by-step explanation:
We have,
Mean = Σx/n
or 12= (m+n+s+p+q)/5
or, m+n+s+p+q = 60 ...........(i)
Again,
New Mean = (m+4+n-3+s+6+p-2+q+8)/5 [∵ n = 5]
or, New Mean = {(m+n+s+p+q)+13}/5
or, New Mean = (60+13)/5 = 73/5 [from eq (i)]
∴ New Mean = 14.6 Ans.
For the following geometric sequence find the explicit formula: {-1, 3, -9,...}
Answer:
[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = - 1 and r = 3 ÷ - 1 = - 3 , thus explicit formula is
[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]
Find 310% of 150. a number blank
Answer:
465
Step-by-step explanation:
Of means multiply
310% * 150
Change to decimal form
3.10 * 150
465
Answer:
465
Step-by-step explanation:
1 percent of 150 is 1.5.
Multiply 1.5 by 310 to 465
Which statement is true for the numbers 2.5 and -2.5? A. On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point. B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero. C. On the horizontal number line, 2.5 and -2.5 are both located to the right of zero. D. On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.
Answer:B
Step-by-step explanation: because when u draw the number line all the negative numbers is written at the left side of the zero and all positive numbers are found at the right side of the zero
Answer: I believe it’s B
Step-by-step explanation:
Need help ASAP, thanks
Answer:
1364
Step-by-step explanation:
use the calculator
Look at this information.
[tex]x \leqslant 0[/tex]
1)Give an example of what the value of x could be.
2) Give a different example of what the value of x could be.
Answer:
1) 0
2) -1
Step-by-step explanation:
x ≤ 0, that means x is equal and less than 0 . so the numbers will start from 0,-1, -2 and so on
Which system of inequalities is shown in the graph
please see the attached picture for full solution..
Hope it helps..
Good luck on your assignment..
Work out the value of x please
Answer:
X=67.5
Step-by-step explanation:
360-90=270
Then I do
270/4=67.5 to find the answer of each X
(4 is how many X is in the 270 degree)
the radius of wheel of a bicycle is 40 cm. taking pie =3.14, a)find tthe circumference of the wheel.b) find the distance covered by the bicycle in 200 complete revolution of the wheel.please ans this question. i beg you
Answer:
a)=251.2 cm b)=50240 cm
Step-by-step explanation:
a) The formula for calculating the circumference of a circle is c=d*pie, where D is the diameter of the circle.
Therefore, C = 2 * 40 * 3.14 = 251.2 cm
b) The distance covered by 200 revolutions of the wheel is 200 times the circumference, 200*251.2=50240 cm.So to think about this we can assume that there is a point A on the wheel, the distance that point A travels when it rotates 200 times.
Calculate the surface area of a solid box in the shape of a cube with side length 10cm
Answer:
600 cm
Step-by-step explanation:
Surface Area of a box: SA=2lw+2lh+2hw
Since a box has equal side lengths, l = 10, w = 10, and h = 10.
SA = 2(10)(10) + 2(10)(10) + 2(10)(10)
SA = 600cm
What is a regular Polygon? Name all the types of polygon.(HELP ASAP)
Answer:
A regular polygon is a polygon with sides of equal length. Some examples include, a equilateral triangle, square, regular pentagon, regular hexagon, regular heptagon, regular octagon, regular nonagon, regular decagon...
Can somebody help me with this ?? :)
Answer:
A.
Step-by-step explanation:
We have AC = DF, ∠A =∠D, so
we need AB = DE.
We get SAS congruence.
How long is 139.5 minutes
Answer:
[tex]\mathrm{2.325 \: hours}[/tex]
Step-by-step explanation:
[tex]\frac{139.5}{60}=2.325[/tex]
[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]
Which set of numbers can represent the side lengths in centimeters of a right triangle?
8.12.15
10 24 26
12. 20, 25
0 15 18.20
Answer:
8.12.15
Step-by-step explanation:
mark brainliest plz
Can I get the awnser to this?
Answer: 17.8 yds
Step-by-step explanation:
The length of the arc of the ENTIRE circle is the circumference (C = 2πr).
We only want a 60° section of that circumference which is 60°/360° = 1/6 of the circumference.
The formula for length of an arc is: [tex]s=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)[/tex]
Given r = 17, θ = 60°
[tex]s=2\pi (17)\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =2\pi(17) \bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =\dfrac{17 \pi}{3}\\\\\\.\quad =\large\boxed{17.8}[/tex]
11. The formula for finding a number that's the square root of the sum of another number n and 6 is
A. x = √n + 6.
B. x = √n + 6.
C. x = √n + √6.
D. x = √n6.
Answer:
x = [tex]\sqrt{x+6}[/tex]
Step-by-step explanation:
The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).
Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by , where is the number of hours since 10 AM, .
Complete Question:
Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by [tex]x(t) = -4t^2 + 20t + 60[/tex], where is the number of hours since 10 AM:
a) Find an expression for the revenue per hour as a function of x, R(x)
b) Find and simplify, R(x(t))
Answer:
a) R(x) = 2x
b) [tex]R(x(t)) = -8t^2 + 40t + 120[/tex]
Step-by-step explanation:
a) This is a very trivial exercise.
[tex]x(t) = -4t^2 + 20t + 60[/tex]
The number of hot dogs sold per hour is given by x
Charge per hot dog = $2
An expression of revenue per hour,R, as a function of the number of hot dogs sold per hour, x, is therefore: R(x) = 2x
b) [tex]x(t) = -4t^2 + 20t + 60[/tex]
R(x(t)) = 2(x(t))
[tex]R(x(t)) = 2(-4t^2 + 20t + 60)\\R(x(t)) = -8t^2 + 40t + 120[/tex]
Simon makes 30 cakes He gives 1/5 of the cakes to sali He gives 10% of the cake to Jane What fraction of 30 does he have left
Answer:
7/10 or 0.7 or 70% left.
Step-by-step explanation:
Since he gives 1/5 of the cake to Sali, he gave 1/5 * 30 = 6 cakes away to Sali. Since 10% is 1/10, he gave away 1/10 * 30 = 3 cakes away to Jane. He has a total of 30 - 3 - 6 = 21 cakes left. 21/30 = 7/10, or 0.7, or 70% left.
Answer: 21/30
Explanation this is because 1/5of 30 is 6 and 10 percent of 30 is 3
6+3=9
30-9=21
Therefore Simon has 21/30 cakes left
I hope it helps
Adult tickets to a concert sold at $8, while student tickets cost $5.
If 70 tickets were sold for a total of $440, how many adult tickets were sold?
40 tickets
30 tickets
55 tickets
15 tickets
The number of adult tickets sold was 30 tickets
The first step is to write out the parameters given in the question;
Adult ticket sold at the concert is at the price of $8
Student tickets sold cost $5
A total of 70 tickets were sold at $440
Therefore the number of adult tickets sold can be calculated as follows;
= 8(5)
= 40
70-40
= 30
Hence the number of adult tickets sold is 30 tickets
Link; https://brainly.com/question/16973073
What is the length of BC in the right below?
Answer:
B. 17
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
We have a and b, so:
8² + 15² = c²
c = √(8² + 15²)
c = 17
And we have our final answer!
Answer:
To find the length of BC we use Pythagoras theorem.
BC² = AB² + AC²
AB = 8 AC = 15
BC² = 8² + 15²
BC = √64 + 225
BC = √ 289
BC = 17
BC is 17
Hope this helps.
so 90/7 divided by 1 and three-fourths i keep trying but i keep getting a different answer what would be the best estimate
Answer:
see below
Step-by-step explanation:
90/7 ÷ 1 3/4
Change to an improper fraction
90/7 ÷ (4*1+3)/4
90/7 ÷7/4
Copy dot flip
90/7 * 4/7
360 /49
The exact answer is 7 17/49
To estimate I would round 49 to 50 and 360 to 350
350/50 is approximately 7 and since I rounded the numerator down and the denominator up, the answer would be a little higher
A building is being constructed. When completed, it will be 596 meters tall. It currently stands at 77% of this height. Which is the best estimate for the current height of the building? 350 meters 400 meters 450 meters 480 meters
Answer:
450
Step-by-step explanation:
Since we are estimating, we can round 596 to 600, and 77 to 75
So, we need to find 75%, or 3/4 of 600
600 * 3/4 = 150 * 3 = 450
Answer:
450 meters
Step-by-step explanation:
Can I please get help with this?
m<TSU=85°
please see the attached picture for full solution
hope it helps..
Good luck on your assignment...
find the sum 12x^2+3x+6
Answer:
[tex]3(8x ^{2} + x + 2)[/tex]
factor out 3 polynomial 8xsqurd +x+2 not factored as it doesn't have any rational roots
Answer:
This cannot be simplified any further.
Step-by-step explanation:
please answer all 3 percentages questions below
Answer:
a). 16% of £50
= 16/100 ×50
= 8
= £8
b). 44% of 781g
= 44/100 × 781
= 343.64
= 343.64g
c). 92% of 1050km
= 92/100 × 1050
= 996
= 996km
Hope this helps.
Find the equation of the line. Use exact numbers. y=___x+___
Answer: y = -3/2x + 3
Step-by-step explanation:
The slope is -3/2 (down 3, right 2)
The slope goes before x in graph functions so it’s -3/2x
The line goes through 3 on the y-axis (vertical line), so that’s where + 3 comes in.
y = -3/2x + 3
11 pens weigh 53.43 grams how many grams will 2 pens weigh
Answer:
9.72
Step-by-step explanation:
53.43/11 = 4.86
4.86*1 = 9.72
Answer:
2 pens will weigh about 9.7 grams.
Step-by-step explanation:
1. First, you divide 53.43 by 11 which gives you 4.85 grams (I used the first 2 digits.)
2. Since you know that 1 pen weighs about 4.85 grams, you multiply 4.85 by 2 to find the amount of grams for 2 pens. The answer is 9.7 grams.
please answer very quickly
Answer:
ABD
Step-by-step explanation: