If initial deposit is GBP 3000 and the rate is 3.5%,then after 32 years it will reach to GBP 9000.
Given that the initial deposit is GBP 3000 and the rate is 3.5%.
We are required to find the number of years after which the amount will reach to GBP 9000.
Compound interest is basically the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Amount after compounding=P[tex](1+r)^{n}[/tex], where P is principal ,r is rate of interest and n is number of years.
The number of years can be calculated as under:
9000=3000[tex](1+0.035)^{n}[/tex]
3=[tex](1.035)^{n}[/tex]
[tex](1.035)^{32}[/tex]=[tex](1.035)^{n}[/tex]
By comparing both sides,we will get n=32.
Hence if initial deposit is GBP 3000 and the rate is 3.5%,then after 32 years it will reach to GBP 9000.
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There are two numbers which add up to 17. If one number is 13 more than the other, find two numbers.
Answer:
30 the answer is 30 because 17 + 13 = 30
Complete the factor tree for 1,575.
Press each hotspot
Label the corresponding number below with the requested factor.
Answer:
See the factor tree in the attached image
Step-by-step explanation:
1575 ÷ 5 = 315
315 ÷ 5 = 63
63 ÷ 7 = 9
Factors of 9 are 3 and 3
Which expression is equivalent to 59.06
A. 5 x 1 + 9 × 1 + 6 × 1/10
B. 5 × 1 +9 × 1 + 6 × 1/100
C. 5 × 10 +9 × 1 +6 × 1/10
D. 5 × 10 + 9 × 1 + 6 × 1/100
Help me answer Thank for helping
Answer:
1.6
Step-by-step explanation:
first we want to figure out the square roots. the square root of 12 would be 3.5. while the square root of 3 is 1.7
after figuring out the square roots, our equation is -3.5 + 3(1.7)
first we want to multiply 3 by 1.7
this would give us 5.1
leaving our equation as -3.5 + 5.1
our final step is to add 5.1 to -3.5
although i find it easier to just subtract 3.5 from 5.1 since 3.5 is a negative.
this would give us 1.6
After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6, 3), B'(-2, 1),
and C(1, 7). What are the coordinates of the vertices of the pre-image?
B
C
Intro
n
Done
The coordinates of the vertices of the pre-image are A (3, -6), B(1, 2), C (7, -1).
According to the statement
We have to find that the coordinates of the points in the pre-image..
So, For this purpose, we know that the
Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.
From the given information:
After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6, 3), B'(-2, 1),and C(1, 7).
Then
We need to search out the coordinates of the pre-image A, B and C.
The rule for rotation of 90° about the origin is (x,y) ---> (-y,x).
But we want to seek out the coordinates of the vertices of the pre-image.
So, we'd like to use rule (-y,x) ---->(x,y).
Applying rule,
A'(6, 3) -----> A (3, -6)
B'(–2, 1) -----> B(1, 2)
C'(1,7) -----> C (7, -1).
Therefore, The coordinates of the vertices of the pre-image are A (3, -6), B(1, 2), C (7, -1).
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Write 1668 in scientific notation
Answer:
Tabla de contenido
Cuando separamos el número 1668 en un coeficiente y una potencia de 10, se obtiene el número 1668 en forma exponencial, pero hay un número indefinido de posibilidades.
Como probablemente desees expresar el número 1668 en notación científica normalizada, el coeficiente o significando de 1668 debe estar en el intervalo de 1 a 10.
En otras palabras, el coeficiente debe ser mayor o igual a 1 y menor a 10, es decir, 1 ≤ |m| < 10.
En esta publicación nos referimos al número 1668 en la versión normalizada, a menos que se indique lo contrario.
No es una convención, pero esto refleja el uso del término en la vida diaria.
Por lo tanto: 1668 = 1.668 × 10^3.
También puedes encontrar el resultado de la conversión numérica en los campos de salida de nuestro convertidor en la parte superior del artículo.
Step-by-step explanation:
The table shows a proportional relationship.
Workout (hours) 1 2 3
Calories Burned 240 480 720
Create a description in words for the table.
The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 240 calories burned, and for a two-hour workout, there are 480 calories burned.
The number of calories burned is dependent on the number of hours working out. For every 240-hour workout, there is 1 calorie burned, and for every 480-hour workout, there are 2 calories burned.
The number of hours working out is dependent on the number of calories burned. For a one-hour workout, there are 240 calories burned, and for a two-hour workout, there are 480 calories burned.
The number of hours working out is dependent on the number of calories burned. For every 240-hour workout, there is 1 calorie burned, and for every 480-hour workout, there are 2 calories burned.
Answer: The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 240 calories burned, and for a two-hour workout, there are 480 calories burned.
Step-by-step explanation:
By observing the nature of the question, we can decide that the amount of time spent working out dictates the number of calories we burn, making the workout (hours) the independent variable and the calories burned the dependent. This automatically cancels out the answers C and D.
We then just use our knowledge of the table. The hours were assigned 1, 2, and 3, and the calories were 240, 480, and 720. Just make sure the answer reflects that! That gives us answer choice B, The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 240 calories burned, and for a two-hour workout, there are 480 calories burned.
15.255 is what percent of 28.25?
Answer: 54%
15.25500 is 54% of 28.25
Step-by-step explanation: i might be wrong but let me know if i am right (:
Find the error in the calculations below, if there is one:
Line (1): 8x4 = 2(4x + 1) -6
Line (2): 8x - 4 = 8x +1-6
Line (3): 8x - 4 = 8x - 5
Line (4): -4 = -5
Line (5): Based on the calculations above, there are no solutions.
O The error occurred from line (1) to line (2).
The error occurred from line (2) to line (3).
The error occurred from line (3) to line (4).
O The error is in line (5).
The error occurred from line (2) to line (3) i.e., option(b) is correct.
Given that, Line (1): 8x-4 = 2(4x+1)-6, so we will procced to solve line (1) accordingly and then with the steps we will find where the error exactly occur. Let's proceed to solve this question.
8x-4 = 2(4x+1)-6
Now, open or simplify the bracket in RHS, we get
8x-4 = 8x+2-6
Now, simplify RHS accordingly, we get
8x-4 = 8x-4
Now add 4 both sides, we get
8x-4+4 = 8x-4+4
8x = 8x
Now, divide both sides by 8, we get
x = x
Now, subtract x from both sides, we get
0 = 0
Both sides are equal.
⇒ True for all x.
So, from the above calculation steps we can easily concluded that the error occurred from line (2) to line (3).
Hence, option(b) is correct.
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what is the circumfrence of a circle with a diameter of 10 meters
Answer:
31.42m
Step-by-step explanation:
Find[tex]C = (22/7) \times d\\C = 3.14 \times 10\\C = \mathrm{31.42m}[/tex]
Find a 3-by-3 magic square using the numbers 4, 5, 6, 14, 15, 16, 24, 25, and 26.
Fill in the magic square.
Please so work.
A 3-by-3 magic square :
5 24 16
26 15 4
14 6 25
A square array of numbers, often positive integers, is referred to as a magic square in recreational mathematics if the sums of the numbers in each row, each column, and both main diagonals are the same.
The following values are listed in the question:
The numbers are 4, 5, 6, 14, 15, 16, 24, 25, and 26.
A 3-by-3 magic square is required.
Since the numbers are 4, 5, 6, 14, 15, 16, 24, 25, and 26.
Now the sum of all numbers is :
4 + 5 + 6 + 14 + 15 + 16 + 24 + 25 + 26 = 135
There are now 3 rows and 3 columns, thus the total number is divided by 3.
5 24 16
26 15 4
14 6 25
5 + 24 + 16 = 45
5 + 26 + 14 = 45
26 + 15 + 4 = 45
24 + 15 + 16 = 45
14 + 6 + 25 = 45
5 + 15 + 25 = 45
So, the total of each row and each column is therefore 45.
Therefore, this is a 3-by-3 magic square that satisfies the conditions :
5 24 16
26 15 4
14 6 25
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What are the zeros of f(x) = x2 + x - 12?
Which expression is equivalent to (2x − 1)(4x + 3) − (9x + 1)(2x − 1)?
The given expression (2x − 1)(4x + 3) − (9x + 1)(2x − 1) is equivalent to -10x^2 + 9x - 2, that is, option b.
If terms of the form (a + b) and (a + c) are to be multiplied, then each number or variable in the 1st term is multiplied by every variable in the 2nd term. Thus, (a + b)(a + c) = a^2 + ac + ab + bc.
Here, we are given an expression (2x − 1)(4x + 3) − (9x + 1)(2x − 1)
let us simplify the given expression-
[2x(4x) + 3(2x) -4x - 3] - [9x(2x) -9x + 2x -1)]
8x^2 + 6x - 4x - 3 - (18x^2 -9x + 2x -1)
8x^2 + 2x - 3 - 18x^2 +7x +1
8x^2 -18x^2 + 2x +7x -3 +1
-10x^2 + 9x - 2
Thus, option b is the correct answer.
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Your answer was incomplete. Check for the complete content below-
Which expression is equivalent to (2x − 1)(4x + 3) − (9x + 1)(2x − 1)?
a. 10x^2 + 9x - 2
b. -10x^2 + 9x - 2
c. 10x^2 - 9x + 2
d. -10x^2 + 9x - 8
8. Arica estimates she planted 400 seeds in her garden on
Wednesday and Thursday. On Thursday, she planted
152 seeds. About how many seeds could she have planted or
Wednesday?
Choose all that apply.
A. She could have planted 100 seeds on Wednesday.
B. She could have planted 150 seeds on Wednesday.
C. She could have planted 200 seeds on Wednesday.
D. She could have planted 250 seeds on Wednesday.
Answer:
Step-by-step explanation:
400 - 150 = 250 and 400 - 200 = 200, so it could be D or C. You can choose which one you want to use.
Find the value of x.
(6x + 7)º
(8x-17)°
(6x+7) and (8x-17)° are both vertical angles; so, the value of x is 12.
What is verticle angles?When two straight lines cross, the angles that are opposite one another are called vertical angles. (These two lines should technically be on the same plane.)
Angles vertically are congruent.
According to the given value;
Let the angles be A and B; such that:
A = 6x+7
B=8x-17
By theorem of vertical angles
A = B
So, we have:
6x+7=8x-17
Collect like terms
8x-6x=7+17
2x=24
x=12
Hence the value of x is 12.
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What’s the correct answer answer asap for brainlist
Answer:
If u actually read the sentence B makes more since
89% means 89 out of?
Answer:
100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
2.35 + 0.75 + 10
what is the answer
Answer: 13.10
Is power
Answer:
Step-by-step explanation:
its not to hard
1 1
2.35
+0.75
~~~~~~
3.1 0
+10
~~~~~~~
13.10
Solve for x.
x + 0.60(15) = 0.80(x + 15)
Answer:
15
Step-by-step explanation:
x + 0.60(15) = 0.80(x + 15)
x+9=0.8(x+15)
x+9=4(x+15/5)
x+9=4x+60/5
x+9-9=4x+60/5-9
x=15
PLEASE HELP I WILL GIVE YOU 80 AND MARK YOU BRALINEST AND PLEASE IN YOUR OWN WORDS
Find The Slope of the Line?
Answer: 3
Step-by-step explanation:
To find the slope you have to divide y over x: y/x or most commonly known as rise/run.
We start at the point where the line is touching a point, in this case it's -8 in the y axis.
Then we count up until we find another point that the blue line is touching. In this case at the coordinates (2, -2). So there's 6 values up from -8 and we have to move to the right 2 values to reach the point the blue line is touching.
So we use the formula rise/run or y/x:
6/2 = 3
This is very hard to explain in just text! I hope you understand
Climbing up on a table you held a 1/2 gallon jug of water in your outstretched hands. You did not hold the sides of the jug, you just cradled it. Now you jump jug and all! You have a friend video it. What will happen to the jug and why?
Answer:
the water goes up with you and then you fall faster leaving the water still in the air for a spilt second leaving gravity to bring it back down
The tile floor in a restaurant is being replaced. The dimensions of the floor are shown. What is the total area of the new tile floor in the restaurant? 15 ft 12 ft 20 ft 17 ft
The total area of the new tile floor in the restaurant = 240 ft².
What is geometric figure?A geometric figure is any arrangement of points, lines, or other planes. Depending on the proportions of the figure, geometric figures are frequently categorized as space figures, plane figures, lines, line segments, rays, as well as points.
What do geometric forms look like?Geometric forms are any open or closed structures with specific shapes and attribute dreamed up of lines, curves, and points. Geometric shapes include square, rectangles, circles, cones, cylinders, sphere, and so on. All of these forms have characteristics that distinguish them from others.
According to the given data:Length of rectangle = 15ft
width of rectangle = 12ft
hypotonus = 17ft
First finding the area of the rectangular part:
area = L x B
= 15 x 12
= 180 ft²
First finding the area of the triangular part:
Area = 1/2 *(B *h)
= 1/2 * (8 * 15)
= 1/2 * 120
= 60 ft²
The total area of the new tile floor in the restaurant = 180 + 60
= 240 ft²
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A teacher asks students to place tiles on the classroom wall to show the alphabet. The tiles will each have one letter or be blank. Each letter will have only one tile. The list shows the teachers rules for the arrangement of tiles.
• How many columns of tiles will there be?
• How many blank tiles will be used?
• What multiplication fact helped you solve the problem?
1. They must form a rectangle.
2. The rectangle must have 4 rows.
3. The rectangle must have the least possible number of columns.
The least possible number of columns is 7
2 blank tiles is will be used
Yes using multiplication facts the question can be solved.
Given data
Alphabet arrangement on tiles
The rules for arrangement of the alphabets
1. They must form a rectangle.
2. The rectangle must have 4 rows.
3. The rectangle must have the least possible number of columns.
How to find the column of tiles the arrangement will havenumber of alphabets = 26
let the row represent the width of the rectangle, so that the rectangle has 4 rows.
The length will be
length * width = 26
length = 26 / width
length = 26 / 4
length = 6.5 ≅ 7
Hence the least possible number of columns is 7
How to find the number of blank tiles used
26 / 4 gives 6 remainder 2 hence it requires 2 more tiles to make it up a rectangle of 7 columns.
The remaining part is filled with blank tiles therefore 2 blank tiles is used
How to solve the problem with multiplication factUsing multiplication we solve the problem as thus:
let the number of column be x such that
4 * x = 26
x = 26 / 4
so we use blank tiles to make the equation divisible by 4 without remainder.
using mental math: 28 / 4 = 7
therefore 2 blank tiles were added and the minimum number if rows is 7
Yes using multiplication facts the question can be solved.
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Carolyn says that point a and point b represent opposite integers what is the opposite of the integer represented by a point ?by b point
The value of integer a is (-a).
To solve this problem first of all we have to understand the concept of opposite integers.
The opposite integers are nothing but an integer with two different sign but has same numerical value.
Suppose there is an integer y then the opposite of integer is -y. And the opposite of an integer -h is +h.
Here it is asked to find the opposite integer of a.
The opposite of integer a is given to be b but the value of integer is -a.
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If 4x + 8 = 28, then x = 5. choose inverse
Answer:
What do you mean by choose inverse?
Step-by-step explanation:
Can somebody pls help me with this question? Giving lots of points!
Answer:
x^2
Step-by-step explanation:
A number is automatically X. X is any number that is unknown, and the number is unknown in this problem
Answer:
x^2
Step-by-step explanation
x is the number, and since its raised to the second power its x^2
Find the population mean or sample mean as indicated. Sample: 16, 17, 5, 6, 16
Answer:
sample mean = 12
Step-by-step explanation:
To find the mean of a sample of items, we can use the following formula:
[tex]\boxed{\mathrm{mean = \frac{sum \ of \ items}{number \ of \ items}}}[/tex].
In this question, we are given the following items: 16, 17, 5, 6, and 16.
• sum of items = 16 + 17 + 5 + 6 + 16
= 60
• number of items = 5
∴ mean = [tex]\frac{60}{5}[/tex]
= 12
Therefore, the sample mean is 12.
Solve{3x-4}={3x-5} i am totaly confused
Answer:
They are not equal.
Step-by-step explanation:
Because the equation is {3x-4}={3x-5} the equation is saying that the two equations are equal, but it is false. {3x-4} is less than {3x-5}, and {3x-5} is greater.
Answer:
This Equation has no soulution
Step-by-step explanation:
3x-4=3x-5
3x - 4 - 3x = 3x -5- 3x Simplify___-4 = -5
In 2016, 595,700 Americans died of (all forms of) cancer.
Assuming a population of 321 million, what was the mortality
rate in units of deaths per 100,000 people?
The mortality rate will be 180 per 100000 people.
How to calculate the value?From the information, 595,700 Americans died of (all forms of) cancer and there is a population of 321 million.
Therefore the mortality rate will be:
= 595700 / 321 million
= 0.0018
Therefore the mortality rate will be 180 per 100000 people.
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