Given:
Principal value = 40000
Rate of compounded interest = 20%
Time = 2 years
To find:
The interest.
Solution:
Formula for amount is
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, P is principal, r is rate of interest and t is time in years.
Putting the given values, we get
[tex]A=40000\left(1+\dfrac{20}{100}\right)^2[/tex]
[tex]A=40000\left(1+\dfrac{1}{5}\right)^2[/tex]
[tex]A=40000\left(\dfrac{6}{5}\right)^2[/tex]
[tex]A=40000\left(\dfrac{36}{25}\right)[/tex]
[tex]A=57600[/tex]
Now, the formula for interest is
[tex]I=A-P[/tex]
[tex]I=57600-40000[/tex]
[tex]I=17600[/tex]
Therefore, the amount of compound interest is 17,600.
Are the two triangles similar? How do you know?
Answer:
Yes the triangles are similar.
if you look at Angle C it's 60° and F is also 60°
60 + 67 is 127
127 + 53 is 180° which is the amount a triangle is. (assuming that E is 67°)
Similar triangles may or may not be congruent triangles.
The two triangles are similar.
From the figure, we have:
[tex]\mathbf{\angle F \cong \angle C = 60}[/tex] ----- Angles F and C are corresponding
[tex]\mathbf{\angle D \cong \angle G = 53}[/tex] ----- Angles D and G are corresponding
[tex]\mathbf{\angle H \cong \angle E = 67}[/tex] ----- Angles H and E are corresponding
Add the above angles.
[tex]\mathbf{Sum = 60 + 53 + 67}[/tex]
[tex]\mathbf{Sum = 180}[/tex]
The sum of the angles equal 180 degrees,
Hence. the triangles are similar triangles.
Read more about similar triangles at:
https://brainly.com/question/14926756
Find the measure of the indicated angle to the nearest degree?
Please hurry
Answer:
45 degrees
Step-by-step explanation:
Using the pythagorean theorem, the 3rd side=19. So the triangle is isosceles and therefore the 2 angles we don't know the measure of are congruent. One angle measures 90 degrees. So the last 2 angles must be 90 together, since we know a triangle equals 180 degrees. Therefore the angle we are trying to find is 45 degrees.
Halla la ecuación de la circunferencia con r=10 y cuyo centro es el punto medio que une los puntos del segmanto A=(-7,-6) B(3,14). Escribe la ecuación en la forma ordinaria.
Responder:
(x + 2) ² + (y-4) ² = 100
Explicación paso a paso:
La ecuación de un círculo se expresa como (x-x0) ² + (y-y0) ² = r²
r es el radio
(x0, y0) es el centro
Dado que el centro representa el punto medio de (-7, -6) y (3,14)
x0 = -7 + 3/2
x0 = -4/2
x0 = -2
y0 = -6 + 14/2
y0 = 8/2
y0 = 4
Sustituir en la expresión
(x - (- 2)) ² + (y-4) ² = 10²
(x + 2) ² + (y-4) ² = 100
Por lo tanto, la ecuación requerida del círculo es (x + 2) ² + (y-4) ² = 100
express (3x+1)(2x-5) as a trinomial
6 x 2 − 13 x − 5 hope this helped,
Answer: (3x+1)(2x−5)
6
�
2
−
15
�
+
2
�
−
5
6x
2
−15x+2x−5
Distribute (FOIL)
6
�
2
−
13
�
−
5
6x
2
−13x−5
Step-by-step explanation:
20 POINTS * A circle has a radius of 6. An arc in this circle has a central angle of 48°
What is the length of the arc?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.
Answer:
[tex] \frac{8\pi}{5}[/tex]
Step-by-step explanation:
Since this is a degree we going to use the arc length formula
[tex]2\pi \times( r)( \frac{x}{360)} [/tex]
where x is the central angle measure and r is the radius.
The radius is 6 and the central angle is 48 so let plug that in the formula
[tex]2\pi \times (6)( \frac{48}{360} )[/tex]
Multiply 2 pi by 6
[tex]12\pi \times ( \frac{48}{360} )[/tex]
[tex]12\pi \times \frac{4}{30} [/tex]
[tex] \frac{12\pi}{1} \times \frac{4}{30} = \frac{48\pi}{30} [/tex]
[tex] \frac{8\pi}{5} [/tex]
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile Purple Pink Orange
Number of times the tile is drawn 6 18 26
What is the experimental probability that Jenny will pull out a pink tile?
Answer:
Step-by-step explanation:
The experimental probability of choosing pink is
18/50
9/25
Answer:
The answer would be 18/50
Step-by-step explanation:
First part
Prob(Pink) = 18/50
with three cans of paint u can paint 2 walls with 2 layers. How many cans do u need to paint 10 walls with 3 layers?
Answer:
22.5 cans of paint
Step-by-step explanation:
[tex]n=3*10*\frac{3}{2*2} =30*\frac{3}{4} =22.5 cans[/tex]
Answer:
You need 22.5 cans of paint to paint 10 walls with 3 layers.
Step-by-step explanation:
[tex]\frac{3}{2*2}[/tex] = 0.75 (Represents how many cans of paint it takes to paint 1 wall with 1 layer)
0.75 * 10 * 3 = 7.5 * 3 = 22.5 (The number of paint needed for 1 wall with 1 layer multiplied by 10 walls with 3 layers to get the total amount of paint needed)
Plsssss help me I need help with this
Answer:
B 2.5
Step-by-step explanation:
10 x 2.5 = 25
6 x 2.5 = 15
Answer:
D
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
The answer is 2
All lines that are parallel have the same slope
Answer:
the slope is (2)
Step-by-step explanation:
Two lines that are parallel to each other have the same slope so,
the equation y=2x+5 is in the form y=mx+c
where m is the slope of the line so if we compare both equations we can see that the slope of the line given will be 2 and therefore, the slope of the line parallel to it will be the same (2)
classify 1/3 if it is rational, irrational, integer, whole, or natural
Answer:
rational
Step-by-step explanation:
hiring sports hall costs £30 booking fee and then £10 per hour. Chris hires and pays £120. How many hours did chris hire the hall for?
Answer:
3 hours
Step-by-step explanation:
$30 + $10 = $40
* Just for a hour and the fee*
$128 ÷ $40 = 3
Answer:
he paid 8 hours
Step-by-step explanation:
kasi ibawas mo ang 30£ sa booking tapos i add mo yung 80£ sa
hours sa hall kasa naging 8 hours
subtract the sum of all prime numbers between 10 and 20 from the sum of all composite number between 10 and 20 what is it
Answer:
18
Step-by-step explanation:
Members of a club are making tie-die t-shirts. They made 104 t-shirts in the first week and need to
make a total of 325 t-shirst. What percent of t-shirts were made in the first week?
Answer:
34.3%
Step-by-step explanation:
One solution of the quadratic equation X2 – 19x + 48 = 0 is 3. What is the other solution?
Your answer:
Answer:
16
Step-by-step explanation:
The equation is X2 – 19x + 48 = 0
Using the quadratic formula
X= - b +- √ ( b^2 - 4ac)/ 2a
Where a= 1 b= -19 c= 48
Substitute into the formula we have
CHECK THE ATTACHMENT
HENCE, the solution are 3 and 16
The ratio of raspberries to strawberries is 1:7. If there
are 147 strawberries, how many raspberries are
there?
Answer:
21 RASBERRIESStep-by-step explanation:
THERE ARE 147 STRAWBERRIES.
THE RATIO OF RASBERRIES TO STRAWBERRIES ARE 1:7
THEN,
THE AMOUNT OF RASBERRIES ARE 1/7 TIMES OF THE STRAWBERRIES.
SO,THERE ARE (147×1/7) or,21 RASBERRIES.
SO THE ANSWER IS: THERE ARE 21 RASBERRIES...
54 out of 180 as a percentage
Please show you working
High points and I will brainliest youuuuuu
Answer:
30%
Step-by-step explanation:
54 / 180 x 100% = 30%
Answer:
30% g;jujhklki/;k/lh
Look at the image of the two hangers. Based on the image, what is one thing that must be true? What is one thing that could be true? What is one thing that cannot possibly be true?
Answer:
One thing that must be true is that the objects will cause some leaning because their masses are unequal, judging from the volume that the objects can hold. One thing that could be true is that the triangle could be heavier than the square, leading to a leaning toward the left. The second pic cannot be true, for there are too much mass concentrated on one side to maintain equilibrium.
choose the correct classification of 2x+10^2-x^3
a) third degree trinomial
b) fourth degree trinomial
c) sixTh degree polynomial
d) first degree binomial
can some one plss help me??
Answer:
a) third degree trinomial
Step-by-step explanation:
The degree of a polynomial is the same as the degree of the term of the polynomial with the highest degree. The degree of a term is the sum of all the exponents of the variables of the term. Remember that a variable such as x, or y, or z has degree 1.
Now we look at the degree of each term:
2x: degree 1 (since x is the same as x^1)
10x^2: degree 2
-x^3: degree 3
The term with highest degree is the last term which has degree 3, so the degree of the polynomial is 3.
The polynomial has 3 terms, so it is a trinomial.
Answer: a) third degree trinomial
Simplify. 6(23x–5)−7x−8
Which number line shows the solution of 5x - 25 < -15?
A.
-100 B 7 B
.
43
-2
.1
12
3 4 5 6 7 8 9 10
B.
-10.9 7 6 5 4 3 2
-1 0
1 2
3
4 5
6 7 8 9 10
O
20 -19 - 18 - 17 -16 -15 -14 -13 -12 -10 -987
43210
-109876
6 7 8 9 10
8x=2 what is the value ofx
Answer:
x=0.25
Step-by-step explanation:
8x=2
4x=1
4x÷4=1÷4
x=0.25
Negative 11/14 times negative (1/17)
Step-by-step explanation:
[tex] - \frac{11}{14} \times - \frac{1}{17} \\ = \frac{11}{14 \times 17} \\ = \frac{11}{238} [/tex]
Hope it will help :)
Answer:
The answer is 11/238
Hope it helps
Last week Maria ran 19 miles less than Arjun. MAria ran 8.7 miles. How many miles did Arjun run?
Answer:
22.7 miles
Step-by-step explanation:
19+8.7=22.7
A ladder is 6 m long.
The ladder is placed on horizontal ground, resting against a vertical wall.
The instructions for using the ladder say that the bottom of the ladder must not be closer than 1.5 m
from the bottom of the wall.
How far up the wall can the ladder reach?
Answer:
5.8 m
Step-by-step explanation:
Using the Pythagorean Theorem (a² + b² = c²) you get the equation a² + 1.5² = 6² (or 1.5² + b² = 6²). Then you solve from there and rounding to the first decimal place you get 5.8
The ladder can reach a height of 5.6 meters.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a ladder that is resting against a wall.
Now, assume that the ladder can reach a height of [x] meters. Then when the bottom is at a horizontal distance of 1.5 meters, then we will get a right angled triangle with base = 1.5 m and hypotenuse = 6m. So, using Pythagoras theorem, we can write -
(6 x 6) = x² + (1.5 x 1.5)
x² = (6 x 6) - (1.5 x 1.5)
x² = 7.5 x 4.5
x² = 33.75
x = 5.6 meters
Therefore, the ladder can reach a height of 5.6 meters.
To solve more questions on Equation Modelling, visit the link below -
brainly.com/question/14441381
#SPJ2
How can we make a quadratic function one-to-one? Write the process down below.
Answer: Quadratic Function: A function with the highest power of variable as 2.
Vertex: The lowest or highest point on the graph of a quadratic function.
Two Types of Problems: Finding quadratic function (a) given the vertex and another point; and (b) given three points.
Step-by-step explanation:
Plz help me due tonight
Answer:
It would end up becuase it is positive
Step-by-step explanation:
What is the average of 6 and 10?
Answer:
j
Step-by-step explanation:
u
Answer:
8
Step-by-step explanation:
Write 0.0065 in standard form
Answer:
6.5 × 10^-3
Step-by-step explanation:
there 3 decimal points to make it 6.5 so it makes it -3
1.) What is the average rate of change between x=2 and x=5?
2) What is the average rate of change between x=3 and x=6?
3) What is the average rate of change between x=2 and x=4?
Answer:
Rate of change = 150%
Rate of change = 100%
Rate of change = 100%
Step-by-step explanation:
Find:
Rate of change
x=2 and x=5
x=3 and x=6
x=2 and x=4
Rate of change = [(5-2)/2]100
Rate of change = 150%
Rate of change = [(6-3)/3]100
Rate of change = 100%
Rate of change = [(4-2)/2]100
Rate of change = 100%
Answer:
2 4 8 next : increases
Step-by-step explanation:
Find the value of the trigonometric ratio Sin C
Answer:
20/29
Step-by-step explanation:
Sin is Opposite/Hypotenuse. The opposite leg is 20, and the hypotenuse is 29.