Step-by-step explanation:
To calculate the compound interest we use the formula
C = A - PWhere
A is the amount
P is the principal
C is the compound interest
To find the amount we use the formula
[tex]A = P(1 + \frac{r}{100} ) ^{n} [/tex]where P is the principal
r is the rate
n is the period
From the question
P = 4000 rupees
rate = 8%
n = 2 years
Substitute the values into the above formula
That's
[tex]A = 4000( 1 + \frac{8}{100} )^{2} [/tex][tex]A = 4000 ({1 + 0.08})^{2} [/tex][tex]A = 4000 ({1.08})^{2} [/tex]A = 4665.6
The amount is 4665.60 rupeesSince the amount is found we can now find the compound interest
C = 4665.60 - 4000
C = 665.6
The compound interest is 665.60 rupeesHope this helps you
Graph the image of H(-8,5) after a reflection over the x-axis.
Answer ?
Answer: plot a point at (-8, -5)
The y coordinate flips from positive to negative, or vice versa, when we reflect over the horizontal x axis. The x coordinate stays the same.
The rule can be written as [tex](x,y) \to (x,-y)[/tex]
Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.
21.0 m^2
9.8 m^2
19.6 m^2
10.5 m^2
Answer:
10.5 m²
Step-by-step explanation:
Given:
∆ with 2 side lengths, 4.7m, 6.1m, and an included angle, 47°.
Required:
Area of the triangle
SOLUTION:
Area of such triangle that has 2 known sides and an included angle between them is given as ½*a*b*sin(θ).
Where,
a = 4.7 m
b = 6.1 m
θ = 47°
Area = ½*4.7*6.1*sin(47)
Area = 10.5 m² (to the nearest tenth)
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART PLEASE GOVE EXPLANATION?
Answer:
0.249
Step-by-step explanation:
tan(theta) = opposite / adjacent (according to the SOH CAH TOA rule), which effectively means y/x in this case.
So -0.242 / -.970 ≈ 0.249
Other explanation:
On a unit circle,
y = sin(θ)
and
x = cos(θ).
And since, tan = sin/cos, tan(θ) = y/x. You y and x are given, so calculating tan is a matter of dividing them.
The length of a rectangle is 5 cm more than the width and the perimeter is at least 61cm. What are the smallest possible dimensions for the rectangle? (Hint: Perimeter = 2L +2W)
Explanation pleaseeee
I think the length is 17.75cm and the width is 12.75 cm
I'm not entirely sure whether it's the smallest possible length but it works on the calculator
17.75*2+12.75*2=61
The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
Answer:
12
Step-by-step explanation:
Since it's a equilateral triangal all sides are equal.
First you double 6 since that is a right angle in the triangle the other side will have the same length. 6x2=12.
the slope of a line parallel to the given line 8x-2y=5
Answer:
4x
Step-by-step explanation:
8x-2y=5
8x=2y+5
8x-5=2y
4x-5/2=y
The slope of the parallel line would be 4x because the slope doesn't change. Hope this helps.
Find x. A. 332–√ B. 113–√ C. 33 D. 443–√
Answer:
C. 33.
Step-by-step explanation:
The sides of a 45-45-90 triangle are in the ratio 1:1:√2 so the side opposite to 45 degrees = 11√6 / √2.
Consider the larger triangle containing the 60 degree angle:
tan 60 = x / (11√6 / √2).
x = tan 60 * 11√6 / √2
x = 33.
The value of the variable x will be 33 units. Then the correct option is C.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The diagram is shown below.
Let h be the height of the triangle.
The value of h is given by the sine of angle 45°. Then the value of the height h will be
sin 45° = h / 11√6
h = 11√6 × 1/√2
h = 11√3 units
The value of h is given by the tangent of angle 60°. Then the value of the height h will be
tan 60° = x / h
x = 11√3 × √3
x = 11 × 3
x = 33 units
Thus, the value of the variable x will be 33 units.
Then the correct option is C.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ5
A group of architects wish to recreate a modern pyramid like the ones built in
ancient Egypt. This huge monument is designed to have 199 stone bricks in the 5th
layer and 1 stone brick in the 27th and top layer. How many stones will they need to
build the entire pyramid?
Answer:
1,128,330 stones
Step-by-step explanation:
If you multiply how many total layers there are in the pyramid (210) by how many stones there are in each layer (199) before and after the 27th and top layer, you get 41790 stones. Then multiply the top 27 layers by the 41790 stones in those layers then you will get the total amount of stones which comes to 1,128,330 stones needed to build the entire pyramid.
PLEASE HURRY
Select the correct answer.
Sam is an artist, and he wants to purchase frames to display his work at home. He wants to frame no fewer than 10 of his pieces, and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18.
Which system of inequalities can Sam use to determine the number of large frames, x, and medium frames, y, that he can purchase to meet his needs?
A.
18x + 24y ≤ 225
x + y ≥ 10
B.
24x + 18y ≥ 225
x + y ≤ 10
C.
18x + 24y ≥ 225
x + y ≤ 10
D.
24x + 18y ≤ 225
x + y ≥ 10
Answer:
D.
24x + 18y ≤ 225
x + y ≥ 10
Step-by-step explanation:
"He wants to frame no fewer than 10"
x + y ≥ 10
"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."
24x + 18y ≤ 225
Answer:
D.
24x + 18y ≤ 225
x + y ≥ 10
Answer: D.
24x + 18y ≤ 225
x + y ≥ 10
Step-by-step explanation: "He wants to frame no fewer than 10"
x + y ≥ 10
"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."
24x + 18y ≤ 225
Answer: D.
24x + 18y ≤ 225
x + y ≥ 10
need answer please
giving out brainiest for ALL MY QUESTIONS!!
correct answers only
Answer:
True
Step-by-step explanation:
integers like 5 or 4 can be put over one to be a fraction.
For example: 5/1 or 4/1
Answer:true
Step-by-step explanation:
they can
eg 1/1, 7/1
I need help answering this
Answer:
100 degrees
Step-by-step explanation:
What is the sale price of this bed after the discount has been taken off the standard price?
Answer:
585 is the answer of your question.
Step-by-step explanation:
because formula is
Mp _ d% of mp
4.5 X 6 - 1243
0 26
21
O
6
o
-10
Answer:
-1243
Step-by-step explanation:
4.5×6-1243
27-1243
=-1216
What is the value of the expression below when z=10z=10 and w=4w=4? 2z-3w 2z−3w
Answer:
8
Step-by-step explanation:
more details
2(10)-3(4)
20-12
8
I don't think this is correct plz check me
Answer:
The answer is the first one
Step-by-step explanation:
The cost of an adult ticket is $15
The price of an adult ticket is 1/2 the price of a student ticket plus $8
x is the cost of a student ticket, so
1/2(x) + $8 = $15
If x +5 = 2b, find 2x + 10 in terms of b.
Answer:
2x+10=4b
Step-by-step explanation:
If you look at the previous equation, you will notice that
x*2 = 2x and
5*2 = 10.
So now all you need to do is also multiply the right side of the equation with b by 2, just like you did to the left side, and you'll get
2x+10 = 4b.
I hope this helped! :D
Answer:
2x + 10 = 4b
Step-by-step explanation:
Given
x + 5 = 2b ( multiply through by 2 )
2x + 10 = 4b
0.00000007834= blank ×10^2 in scientific notation
Answer:
7.834 × 10^-8
Step-by-step explanation:
= 7.834 × 10^-8
(scientific notation)
= 7.834e-8
(scientific e notation)
= 78.34 × 10^-9
(engineering notation)
(billionth; prefix nano- (n))
= 0.00000007834
(real number)
^ means the number after is exponent.
What is the factored form of the expression 3x^2 + 6x – 24
Answer:
(3)(x + 4)(x-2)
Step-by-step explanation:
3x^2 + 6x – 24
3(x^2 + 2x - 8)
(3)(x + 4)(x-2)
Answer:
3(x - 2)(x + 4).
Step-by-step explanation:
3x^2 + 6x – 24
= 3(x^2 + 2x - 8)
= 3(x - 2)(x + 4).
The speed of a car going 50 miles per hour is equivalent to a speed of 80 kilometers per hour. At this rate, what is the speed, in kilometers per hour, of a car that is going 30 miles per hour?
Answer:
48 km/h
Step-by-step explanation:
80/50*30=48 km/h
If a person invests $250 at 9% annual interest, find the approximate value of the investment at the end of 15 years
Answer:
The end balance is $910.62 and the total interest $660.62. (That is without tax or inflation rate) I hope this helps.
Step-by-step explanation:
Answer:
without tax: interest total=$660.62
Step-by-step explanation:
I multiplied...
What is the 6th term in the geometric sequence described by this explicit
formula?
an= 3.4(n-1)
Answer:
The 6th term is 3072.
Step-by-step explanation:
The tables show how the dollar to euro conversion rate changed during one day.
Khalil changed $500 into euros (£).
How many more euros did Khalil receive if he changed his money at the highest rate compared to the lowest rate?
Answer:
£10.1
Step-by-step explanation:
Highest exchange rate=1.3401
Lowest exchange rate=1.3199
The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1
What is equivalent to 9 3/4?
The answer is supposedly is 3 square root 3, but how is that the answer? can someone tell me the steps?
9 3/4 is a mixed fraction.
3√3 is not equivalent to 9³/₄
3√3 is equivalent to [tex]9^\frac34[/tex]
step-by-step:
[tex]9^\frac34=(3^2)^\frac34=3^{2\cdot\frac34}=3^{\frac32}=3^{1+\frac12}=3^1\cdot3^\frac12=3\cdot\sqrt3=3\sqrt3[/tex]
The simplest form of the number [tex]9^\frac{3}{4}[/tex] is [tex]3 \ \sqrt[]{3}[/tex].
It is given that the [tex]9^\frac{3}{4}[/tex]
It is required to find the simplest value of [tex]9^\frac{3}{4}[/tex]
What is the square root of a number?It is defined as the number if we multiply the number by itself we get the original number it is a non-negative number.
We have:
= [tex]9^\frac{3}{4}[/tex]
We can write the above number as below:
[tex]= (3^2)^\frac{3}{4}[/tex]
By the property of powers:
[tex]\rm (x^a)^b= x^a^\times ^b[/tex] , we get:
[tex]3^2^\times^\frac{3}{4} \\\\\\3^\frac{3}{2} \\\\\sqrt{3^3} \\\\\sqrt{3}\times \sqrt{3}\times\sqrt{3}\\\\3\sqrt{3}[/tex]
Thus, the simplest form of the number [tex]9^\frac{3}{4}[/tex] is [tex]3 \ \sqrt[]{3}[/tex].
Learn more about the square root of the numbers here:
https://brainly.com/question/1527773
order the following expressions by their values from least to greatest
how many are 2 raised to 5 ???
Answer:
32
Step-by-step explanation:
2^5
This is 2 multiplied by itself 5 times
2*2*2*2*2
32
Which number is a solution of the inequality 8 – 14b ≥ 27?
A. 140
B. –76
C. –8.75
D. –4.75
Answer:
8 - 14b ≥ 27 ⇒ subtract 8 from both sides- 14b ≥ 27 -8 - 14b ≥ 19 ⇒ divide both sides by 14- b ≥ 19/14 ⇒ multiply both sides by -1 b ≤ - 19/14 ⇒ multiplication by a negative changes theinequality sign to opposite one
b ≤ - 19/14 and the answer choices B, C and D are all correct as are less than -19/14
A. 140 is the only one incorrect
15. In a school, the ratio of boys and girls is 4:5, when 100 girls leave the school, the ratio becomes 6:7. How many boys are there in the school
Step-by-step explanation:
the ratio of boys and girls is equal to 4:5
let the number of boys be x
and the number of girls be y
so form 1st statement
x:y=4:5
now 2nd statements
x:y-100=6:7
Therefore solving equations 1 and 2
x=1200
y=1500
whats the volume the triangular prism?
Answer:
Step-by-step explanation:
B ----> Base Area
Base is triangle
base = b = 10 in
height = h = 6 in
Area of base B = [tex]\frac{1}{2}bh[/tex]
[tex]=\frac{1}{2}*10*6\\\\= 5* 6\\\\= 30 \ in^{2}[/tex]
B = 30 in²
H = 15 in
Volume of triangular prism = BH
= 30 * 15
= 450 in³
help pls will give brainly
Answer:
Graph B
Step-by-step explanation:
Look at the first part of the function: 2-x , -7 ≤ x ≤ 5
If you put -7 in place of x you'll have:
2 - (-7) = 2 + 7 = 9
In the graph A, the point x = -7 have a y = 8, so cannot be the graph A. and it have to be graph B
Which term describes a time period marked by a change that begins a new period of development? century decade era millennium
Answer:
Era
Step-by-step explanation:
Century, Decade and Millennium have something in common and that which they have in common is that they are all measurement of time.
The keyword measurement implies that they are units of time just like seconds, minutes, hours, etc.
Century -> 100 years
Decade -> 10 years
Millennium -> 1000 years
However, era is used to describe events in history;
Take for instance; the era of the first generation of computer;
So, from the list of given options; Era best answers the question
An era describes a time period marked by a change that begins a new period.
An era :
begins with a significant eventgoes on for a period of time before it is replaced by another era. has distinct events from those of another eraExamples of eras include:
the Roaring Twenties the Progressive era The Cold War era The Age of EnlightenmentAll the eras mentioned above were distinct in how people behaved so in conclusion we can say that an era is a time period that begins a new period of development.
Find out more at https://brainly.com/question/20315058.