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.
The ratio of girls to boys in a sports club is 3: 5
There are 27 girls in the club. How many boys are there?
Answer:
45 boys
Step-by-step explanation:
The 3 part of the ratio refers to the number of girls.
Divide number of girls by 3 to find the value of one part of the ratio
27 ÷ 3 = 9 ← value of 1 part of the ratio, then
5 parts = 5 × 9 = 45 ← number of boys
Answer:
Their are 45 boys.
Step-by-step explanation:
Let's represent Girls by G,and Boys by B
so G = 27 and B = ? and G/B = 3:5 or 3/5
3 = 27
5. B
3B = 135
3. 3
B = 45
What is the slope of the line on the graph?
Answer:
5
Step-by-step explanation:
the slope is the change in y divided by the change in x
as y goes up 5 x goes up 1
5/1=5 so the slope is 5
Answer:
6
Step-by-step explanation:
To find the slope you use rise over run.
Count how far each of the dots are from each other and you should get 6. That is your rise. See how far it goes to the right or left and you should get 1, which is your run.
Since it is rise over run, it would be 6/1, which makes your answer 6
The table shows the approximate area in square miles of the largest and smallest states in the United States.
State Area (mi2)
Alaska 873
Rhode Island 392
What is the difference between the areas in square miles?
__ square miles
The difference between the areas in square miles is 481.
Given that Alaska is 873 sq miles in size, while Rhode Island is 392 sq miles in total, to determine what is the difference between the areas in square miles, the following calculation must be performed:
873 - 392 = X 481 = X
Therefore, the difference between the areas in square miles is 481.
Learn more about maths in https://brainly.com/question/25273534
2(10.8 k+ 2.9) What's the answer
-12 - 12x = 36 please help me with this problem due today.
Answer:
x = -4
Step-by-step explanation:
-12 -12x = 36
add 12 to each side of the equation
-12x = 48
divide both sides by -12
x = -4
Hi guys please explain I don’t really get it thanks if you help
True or False. The cross section of a Sphere is an ellipse.
a. True
b. False
Answer:
False! all cross sections of spheres are circles!
Step-by-step explanation:
A female student has a BAC of 0.08%. She weighs 138 pounds. If her first drink was 3.5 hours ago, how many drinks did she have?
Answer:
she had 2 drinks .
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
2/3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
B. Order the following decimals from least to greatest.
21. 3.21, 3.021, 3.12, 3.121
22. 1.3, 1.309, 1.03, 1.39
23. 0.09, 0.012, 0.0089, 0.0189
24. 4.01, 4.0011, 4.011, 4.101
25. 5.5, 5.059, 5.0090, 5.05
Answer:
I think:
21) 3.021, 3.120, 3.121, 3.21
22) 1.03, 1.3, 1.09, 1.39
23) 0.0089, 0.012, 0.0189, 0.09
24) 4.0011, 4.01, 4.011, 4.101
25) 5.0090, 5.05, 5.059, 5.5
Answer:
21. 3.021, 3.12, 3.121, 3.21
22. 1.03, 1.3, 1.309, 1.39
23. 0.0089, 0.012, 0.0189, 0.09
What is the ratio of red to blue squares in its simplest form?
14 red 4 blue
Simplest Form: [tex]7 : 2[/tex]
How to Simplify a Ratio A : B when A and B are both whole numbers:
List the factors of AList the factors of BFind the greatest common factor of A and B, GCF(A, B)Divide A and B each by the GCFUse the whole number results to rewrite the ratio in simplest formTry to reduce the ratio further with the greatest common factor (GCF).
The GCF of 14 and 4 is 2
Divide both terms by the GCF, 2:
14 ÷ 2 = 7
4 ÷ 2 = 2
The ratio 14 : 4 can be reduced to lowest terms by dividing both terms by the GCF = 2 :
14 : 4 = 7 : 2
Therefore:
14 : 4 = 7 : 2
I have a question True or False
The slope of the line y=3x is 3
Answer:
TRUE
Step-by-step explanation:
I HOPE IT'S HELP .............
(3,-2)
tell what point is located at each ordered pair
Answer:
x = 3
y = -2
Step-by-step explanation:
I honestly don't understand the question I think you made a mistake writing it but I think I have an idea about it.
Applying Properties of Parallelograms, Rhombi, Rectangles, and Squares
Given the following parallelogram: Solve for x,
19x + 8
17% - 50
9514 1404 393
Answer:
x = 21
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so the two marked segments are the same length.
17x + 50 = 19x + 8
42 = 2x . . . . . . . . . . subtract 8+17x
21 = x . . . . . . . . . . . divide by 2
3 3/4 cm x 2 1/2 =
please answer fast
Answer:
9 3/8, this is the real answer to it. Sorry if i couldnt give you an explaination. i tried, but it refreshed and didnt save my answer for your question.
What is the y-intercept of this equation? y= 5x + 2
Answer:
(0,2)
Step-by-step explanation:
Just substitute y for 0 and solve.
Hope this helps :)
· y = -7x-2
Y+ 3 = -7x+1
(2,3)
O
no solution
an infinite number of solutions
Answer:
Given, y+3=10
⟹y+3−3=10−3 ....[Subtracting 3 from both sides]
⟹y=7
Answer:
No solution
Step-by-step explanation:
Because it will give zero
9. Spanky is four inches less than of Lanky's height. Write an expression for
Spanky's height.
Algebraic Expression:
Spanky
Lanky is 72 inches tall. How tall is Spanky?
Algebraic Expression
Numerical Expression
Answer
You pick the variable for
Lanky's height! Lanky
68 inches tall is Sparky
Step-by-step explanation:
just take of 4 tall of lanky then you will get the tall
Write the equation in slope intercept form.
(-3, 1) and (-2, 0)
Which function is best represented by
the graph?
A- g(x)=6(1/3)^x
B-g(x)=6(3)^x
C-g(x)=6-(1/3)^x
D-g(x)=6-(3)^x
Plsss help I will mark u brainliest
PLEASE HELP ASAP WILL MARK BRAINLIEST
Answer: 314 mm
Step-by-step explanation:
Area of a circle is π*r^2
r is radius and π is 3.14
here the radius is 10
3.14 * 10^2 = 3.14 * 100 = 314
Width
5х
10x^2
5x
What is the width of Heng's area model?
Width =
Answer:
10
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I need to know what 1683 divided bye 60
Answer:
28.05
Step-by-step explanation:
Divide them, a caculater will also show the same result.
Answer:
28.05
Step-by-step explanation:
hope that helps if it is correct please mark as brainliest.
thank you
8x - 5 - 6 - 7
Can someone solve this
Answer:
8x-18
Step-by-step explanation:
ggv dcbbccc. bvvccv. vccbv. vvvvv
Answer:
8x-18
Step-by-step explanation:
8x-5-6-7
8x-18
At a certain pizzeria, it is known that 12% of orders are for extra-large pizzas. What is the probability that the 6th pizza ordered is the first extra-large pizza? 0.0633 0.4644 0.5277 0.9367
[tex]0.0633[/tex] is the the probability that the 6th pizza ordered is the first extra-large pizza.
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
According to question, at a certain pizzeria, it is known that 12% of orders are for extra-large pizzas.
We have to find, what is the probability that the 6th pizza ordered is the first extra-large pizza.
Probability of extra-large pizzas [tex]=\frac{12}{100}[/tex][tex]=0.12[/tex]
Probability of other pizzas[tex]=1-0.12=0.88[/tex]
Hence, the probability that the 6th pizza ordered is the first extra-large pizza[tex]=0.88^{5}[/tex]×[tex]0.12[/tex](since first 5 pizzas are other pizza)
[tex]=0.527[/tex]×[tex]0.12[/tex]
[tex]=0.0633[/tex]
Hence, we can conclude that [tex]0.0633[/tex] is the probability that the 6th pizza ordered is the first extra-large pizza.
Learn more about probability here:
https://brainly.com/question/11234923?referrer=searchResults
#SPJ2
Find the measure of the inscribed angle.
Answer:
41°Step-by-step explanation:
Measure of the inscribed angle is half the arc measure:
x = m∠ABC = 1/2mAC x = 1/2(82°) = 41°FIND THE equation of the linear function represented by the table below in slope intercept form
Answer:
y= -2x - 1
Step-by-step explanation:
Take two of the points given by the data in the table.
Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.
Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).
The equation to find the slope of a line is:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute these points into this formula to find the slope of this linear function.
[tex]\displaystyle m= \frac{-5-(-3)}{2-1}[/tex]Simplify and solve for the slope m.
[tex]\displaystyle m=\frac{-2}{1} =-2[/tex]The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.
Point-slope equation:
[tex]y-y_1=m(x-x_1)[/tex]Substitute m = -2 and the point (1, -3) into this equation.
[tex]y-(-3)=-2(x-1)[/tex]Simplify this equation and put it into slope-intercept form: [tex]y=mx+b[/tex].
[tex]y+3=-2x+2[/tex] [tex]y=-2x-1[/tex]The equation of the linear function represented by the table is y = -2x - 1.
Answer:
y= -2x - 1
Step-by-step explanation:
Take two of the points given by the data in the table.
Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.
Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).
The equation to find the slope of a line is:
Substitute these points into this formula to find the slope of this linear function.
Simplify and solve for the slope m.
The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.
Point-slope equation:
Substitute m = -2 and the point (1, -3) into this equation.
Simplify this equation and put it into slope-intercept form: .
The equation of the linear function represented by the table is y = -2x - 1.
What is the answer to this question?
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Radius = 8 mm
PLEASEEE ASAPPPPP BRAINLIEST
OOOOOOKKKK ANSWER DIS MANEEEEEEEE
Four polynomials are shown below:
A. 3 − 7x5 + x2
B. 5x3 + 5 − 3x
C. 3x + 2x3 − x2 + 6 + 2x
D. 3x3 − 5 + 2x5 + x + 2x2
Which of the above polynomials is a 5th degree trinomial? (1 point)
Polynomial A
Polynomial B
Polynomial C
Polynomial D
Answer:
Polynomial D
Step-by-step explanation: