[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$20953.80\\ P=\textit{original amount deposited}\dotfill & \$18000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &6 \end{cases} \\\\\\ 20953.80=18000[1+(\frac{r}{100})(6)]\implies \cfrac{20953.80}{18000}=1+\cfrac{6r}{100}[/tex]
[tex]\cfrac{20953.80}{18000}=\cfrac{100+6r}{100}\implies \cfrac{2095380}{18000}=100+6r\implies \cfrac{11641}{100}=100+6r \\\\\\ \cfrac{11641}{100}-100=6r\implies \cfrac{1641}{100}=6r\implies \cfrac{1641}{600}=r \\\\\\ \cfrac{547}{200}=r\implies \stackrel{\%}{2.735} = r[/tex]
please help gotta get this gradae up
Answer:
its Y (bottom left graph)
Step-by-step explanation:
i graphed the function on desmos and matched it
Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and range and determine whether the relation is a function.
Answer:
Domain: -2≤ x≤ 0
Range: -2≤ x≤ 2
The relation is a Function
Step-by-step explanation:
The Domain is all the x values.
All the x values are either equal to or greater than -2, and less than or equal to =-0
The Range is all the y values.
Apply the same logic as the domain.
A function is where no x values are the same, and since in this graph we see no vertical line, indicating the same x value, it means it is a function
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use z = 3.14 in any formulas used.
Perimeter = 52.56 inches, Area = 162.24 square inches
Perimeter = 65.12 inches, Area
162.24 square inches
Perimeter = 46.28 inches, Area = 137.12 square inches
Perimeter = 52.56 inches, Area = 137.12 square inches
answer:
d
perimeter = 52.56 inches
area = 137.12 square inches
The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.
The composite shape with trapezium and semicircle is given.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
The total perimeter = Perimeter of trapezium + Circumference of semicircle
Perimeter of trapezium = (8+10+10+20)
= 48 inches
Circumference of semicircle =πr
Here radius=8/2
= 4 inches
Now, 3.14×4 =12.56 inches
The total perimeter = 48+12.56
= 60.56 inches
Total area= Area of trapezium + Area of semicircle
Area of trapezium =1/2 (a+b)×h
= 1/2 (20+8)×8
= 28×4
= 112 square inches
Area of semicircle =πr²/2
= (3.14×4²)/2
= 25.12
Total area= 112+25.12
= 137.12 square inches
The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
#SPJ2
It’s easy yk bro i just need some helpp with it
Answer:
I think you need to link a picture or something
Step-by-step explanation:
Please help me calculate the area of all the grey parts of this shape :)
PLEASE FIND WHAT EACH SQUARE IS WORTH AND THE TRAPEZOID AREA! WILL AWARD BRAINLIEST
Answer:
10.5 units squared
Step-by-step explanation:
just count the squares up or use the formula (a+b)/2 * h .
Not sure what "each square is worth means" sorry, if you clarify I can answer
one square is 2 cm swuared.
trapezoid area = 1/2h(b1+b2)
area = 1/2(6)(10+4)
area = 3*14
area =42
Rajan is given half a chocolate to divide amongst 4 people including himself what fraction of the whole chocolate is he left with?
Answer: If Rajan has [tex]\frac{1}{2}[/tex] of a chocolate bar, then he has to divide it 4.
[tex]\frac{1}{2}[/tex] ÷ 4 = [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] ÷ 4
[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{4}[/tex]
Multiply the numerators and denominators and you will get: [tex]\frac{1}{8}[/tex]
Hope this helped!
Find the value of this expression if x = 3.
x2 + 3/X
Answer:
7
Step-by-step explanation:
write 755 minutes to the nearest hour
[tex] \huge\mathcal\green{ANSWER} [/tex]
[tex] \mathcal\red{755 \: minutes \: is \: equal \: to \: 12.58 \: hours.} [/tex]
[tex] \mathcal\blue{12.58 \: hours \: to \: the \: nearest \:hour \: is \: 13\: hours} [/tex]
For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x).
Answer:
[tex](f-g)(x)=-x^{2}+2x+8[/tex]
Step-by-step explanation:
[tex]\left( f-g\right) \left( x\right) =f\left( x\right) -g\left( x\right)[/tex]
[tex]=2x+1-\left( x^{2}-7\right)[/tex]
[tex]=2x+1-x^{2}+7[/tex]
[tex]=-x^{2}+2x+8[/tex]
Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 15.3 ft. long and 8.7 ft. wide. Carter's bedroom is 14.4 ft. long and 9.6 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your steps for figuring out the area of the floor for each bedroom and determining your answer. Make sure to Show your math steps as well. ~ 100 POINTS AND ILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY AND 5 SENTENCES NEEDED
If Carly's bedroom is 15.3ft long and 8.7 ft long then it is necessary to multiply them because you need to find the area of the room so 15.3*8.7= 133.11. We have to do the same for Carter's room so we multiply 14.4 and 9.6 to find the area of the room which is 138.24.
Now that we have both the areas we can compare which room is bigger. Carly's room is 133.11 ft in total and Carter's room is 138.24 ft in total. So it is clear that Carter's room is going to be more expensive to cover with carpet since Carter's room is bigger than Carly's.
Carly:-
L=15.3B=8.7Area:-
LB15.3(8.7)133.11ft^2#Carter
L=14.4B=9.6Area:-
14.4(9.6)138.24ft^2Carter's room is expensive
The length of a rectangular fam is 15 inches, and the width of the frame is 8 inches. What
is the length of a diagonal of this frame in inches?
Record your answer below. Just the number.
Answer: 17 inches
Step-by-step explanation:
The formula for finding the length of a diagonal in a rectangle is [tex]d=\sqrt{w^2+l^2}[/tex]
Where
d is the diagonal
w is the width (8 for this)
l is the length (15 for this)
Sub these values into the equation
[tex]d=\sqrt{w^2+l^2}\\d=\sqrt{(8)^2+(15)^2}[/tex]
Solve
[tex]d=\sqrt{(8)^2+(15)^2}\\d=\sqrt{64+225}\\d=\sqrt{289}\\d=17[/tex]
Pls help! I really need help! This is my question..
A sample of iron has dimensions of 2 cm x 4 cm x 6 cm and a mass of 100g. What is the density of the sample?
Answer:
density= 2 and 1/2
Step-by-step explanation:
The formula to find density is: density=[tex]\frac{mass}{volume}[/tex]
so the mass is 100, and the volume is 2x4=8x6=48, 100/48 equals 2 and 1/2
A group of friends count the coins they have in their pockets.
They record how many cents they each have in dimes.
Another friend counts his coins and has 2 dimes.
If 20 is added to the line plot, what effects will it have on the mean and median?
Answer:
I do not know the full answer but its not the mean dropping
Step-by-step explanation:
i said the mean dropping and I got it wrong.
Answer:
The mean will change more than the median
Step-by-step explanation:
Does anybody know this? I really need help.
Answer:
22 is th area
Step-by-step explanation:
Hi, I need help with this math question. Can you pls help me?
The third term is 245 and the first term is 5 -> To get from the first term to the third term, we multiply it by 49.
Since in a geometric sequence, the difference between each term has to be a constant multiplier or a sequence of multipliers -> We can find the second number to be 5 x 7 = 35
So, this geometric sequence is 5 ; 35 ; 245 and so on.
-> The common ratio of this sequence is 7. (and sorry if the things above don't make sense)
Answer:
7
Step-by-step explanation:
Given:
First term = 5Third term = 245Let the second term be "x".
⇒ 5, x, 245...
Thus, the following equations:
5 × (something) = xx × (something) = 245To find the common ratio between the three terms, we need to find the value of "x". Simplify both the equations to obtain the values of (something). Then compare both the values.
⇒ [5 × (something)] = x
⇒ [5 × (something)]/5 = x/5
⇒ (something) = x/5
⇒ x × (something) = 245
⇒ [x × (something)]/x = 245/x
⇒ (something) = 245/x
Now, let's compare both the results of (something).
⇒ x/5 = 245/x
⇒ x² = 5 x 245
⇒ x² = 1225
⇒ x = √1225 = 35
Substitute the second term into the sequence.
⇒ 5, x, 245 = 5, 35, 245
Looking at the sequence formed, we can tell that 7 is being multiplied to each term. Thus, 7 is the common ratio.
Is it true that M is perpendicular to P?
Is it true that N is perpendicular to P?
need help, prettyy stuck!
yes it is true and second is false
Please help!
Complete the statements to compare the areas of the two figures and find the area of the base of the cylinder.
Select the correct answer from each drop-down menu.
When the sectors of the circle are rearranged, they are close to forming a _____(rectangle/square/trapezoid) with a length of___ (2*pi*r/pi*r/r) units and a width of r units.
The area of the rearranged figure is_____ (equal/greater than/less than) to that of the circle. So, the area of the circular base_____(pi*r/pi*r*r/2*pi*r/2*pi*r) square units.
When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.
What is the area of the rearranged figure?The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.
What is a Trapezoid?A trapezoid is a two-dimensional geometric shape that has four sides with only two being parallel.
Learn more about Trapezoid at:
https://brainly.com/question/1410008
Answer:
When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.
What is the area of the rearranged figure?
The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.
Step-by-step explanation:
I got it right on Edmentum
A parallelogram is shown. The length of the sides are 5 units and the length of the top and bottom segments are 8 units. A diagonal is drawn from one point to the opposite side. The length of the diagonal is 11 units.
Using Heron’s formula, calculate the area of the parallelogram to the nearest tenth of a square unit.
Area ≈
square units
Using the Heron's formula, the area of the parallelogram is 36.7 square units.
How to use Heron's formula?Heron's Formula = √[s(s - a)(s - b)(s - c)],
where,
a, b, and c = side of the triangles = semi perimeter of the triangleArea of the parallelogram = 2(area of triangle)
Therefore,
The area of the triangle can be found using Heron's Formula
a = 5 units
b = 8 units
c = 11 units
s = 5 + 8 + 11 / 2 = 12 units
area of triangle = √[12(12-5)(12 - 8)(12 - 11)]
area of triangle = √12 × 7 × 4 × 1
area of triangle = √336
area of triangle = 18.3303027798
area of triangle= 18.33 units²
Therefore,
area of parallelogram = 2(18.33) = 36.6606055596
area of parallelogram = 36.7 unit²
learn more on Heron's formula here:https://brainly.com/question/12771530
The correct answer is 36.7 square units
Math
how to solve (4s - 5t)²
Answer:
Step-by-step explanation:
PLEASE HELP WILL GIVE 50 POINTS to the right answer
Answer:
)-( Ï Ï'M Ä ÑËWßÏË YÖÜ ÇÄÑ WËLÇÖMË MË!!!
m∠MFE = 28°
======================
Angles m∠MFE, m∠MFP, m∠PFR lies on a straight line
A straight line has total 180° angle.→ m∠MFE + m∠MFP + m∠PFR = 180°
x + 6 + 90° + 3(x) - 4° = 180°4(x) + 92° = 180°4(x) = 180° - 92°4(x) = 88°x = 22°Solve for m∠MFE
x + 622° + 6°28°anyone knows the answer?!
Answer:
The third option
Step-by-step explanation:
the lowest point on function 1 is -7
the lowest point on function 2 is -9
Estimate the perimeter of the figure on number 3
Answer:
13.5
Step-by-step explanation:
i just counted the whole squares and then counted the half and divided that number by 2 and added that number to the first number
9 + (9/2)
9 + 4.5
13.5
3/5 plus 1/2 in simplest form
3/5 + 1/2
= 6/10 + 5/10
= 11/10
= 1(1/10)
= 1.10
Please help me solve this problem ASAP
I have a huge test coming up and I need to understand the questions
Answer:
1.25w
Step-by-step explanation:
w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here is how to solve it:
[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]
4 What is the total perimeter?
(2 pts)
4ft,
12 ft.
Show ur work 30 points
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
let's solve ~
Perimeter of the composite figure :
Perimeter of rectangle + circumference of semi circle - common side.
Perimeter of rectangle :
[tex]\qquad \tt \dashrightarrow \:2(4 + 12)[/tex]
[tex]\qquad \tt \dashrightarrow \:2(16)[/tex]
[tex]\qquad \tt \dashrightarrow \:32 \: \: ft {}^{} [/tex]
Circumference of Semicircle :
[tex]\qquad \tt \dashrightarrow \:\pi r[/tex]
[tex]\qquad \tt \dashrightarrow \:3.14 \times 2[/tex]
[tex]\qquad \tt \dashrightarrow \:6.28 \: ft[/tex]
Length of common side = 4 feet
So, perimeter of composite figure :
[tex]\qquad \tt \dashrightarrow \:32 + 6.28 - 4[/tex]
[tex]\qquad \tt \dashrightarrow \:34.28 \: ft[/tex]
Which of the following numbers is rational?
Answer:
B is the answer
Step-by-step explanation:
A is a normal number
C is division along with D
So it is B
I dont really know what to do here, ive done a which is -2 but dont know how to do b. It is not 1/2x -1.5
Answer:
a) -2
b) y = -2x + 6
Step-by-step explanation:
Question (a)
Point A = (-1, -2)
Point B = (7, 2)
[tex]\sf gradient\:of\:AB=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{2-(-2)}{7-(-1)}=\dfrac{4}{8}=\dfrac12[/tex]
If lines are perpendicular to each other, the product of their gradients will be -1.
Let g be the gradient of the perpendicular line:
[tex]\implies \sf \dfrac12 \times g=-1[/tex]
[tex]\implies \sf g=-1 \div \dfrac12=-2[/tex]
Therefore, the gradient of the line perpendicular to AB is -2
---------------------------------------------------------------------------------------------
Question (b)
[tex]\sf midpoint\:of\:line = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]\sf let\:point\:A=(x_1,y_1)=(-1,-2)[/tex]
[tex]\sf let\:point\:B=(x_2,y_2)=(7,2)[/tex]
[tex]\sf \implies midpoint\:of\:line\:AB = \left(\dfrac{-1+7}{2},\dfrac{-2+2}{2}\right)=(3,0)[/tex]
We now know the gradient and a point on the perpendicular line.
So we can use the point-slope form of a linear equation:
[tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-0=-2(x-3)[/tex]
[tex]\implies \sf y=-2x+6[/tex]
Write the measure of this missing angle
Answer:
c= 30
Step-by-step explanation:
To find the value of c, start by forming an equation using the ∠ sum of ∆ property.
c° +60° +90°= 180° (∠ sum of ∆)
Simplify:
c° + 150°= 180°
c°= 180° -150°
c°= 30°
c= 30
Notes:
The sum of the angles in a triangle is 180°, which is abbreviated as '∠ sum of ∆'. The angle indicated by a square is called a right angle, and has a value of 90°.please help me answer this
Answer:
1,080
Step-by-step explanation:
Multiply the different amounts of customizations to get all the possibilities 3 sizes × 4 choices of crust is 12 possibilities,
12 possibilities × 3 choices of sauce is 36 possibilities,
36 possibilities × 3 choices of cheese is 108 possibilities,
108 possibilities × 10 different toppings is 1,080 possibilities.