[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$23000\\ P=\textit{original amount deposited}\\ r=rate\to 3.70\%\to \frac{3.70}{100}\dotfill &0.037\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &4 \end{cases}[/tex]
[tex]23000=P\left(1+\frac{0.037}{12}\right)^{12\cdot 4}\implies 23000=P\left( \frac{12037}{12000} \right)^{48}\implies \cfrac{23000}{~~ \left( \frac{12037}{12000} \right)^{48}~~}=P \\\\\\ \cfrac{23000}{~~ \frac{12037^{48}}{12000^{48}}~~}=P\implies \cfrac{23000\cdot 12000^{48}}{12037^{48}}=P\implies 19840.43\approx P[/tex]
20 POINTS!!! HELP QUICK
Find the volume of this compound figure.
Hint: Half a sphere and a cylinder
Use 3.14 for pi!
The volume of the given shape will be equal to V=2827.42 cubic inches.
What is volume?The volume is defined as the space occupied by the object in the three-dimensional plane. It requires three coordinates to find the volume of any object.
Here it is given in the question that:-
Radius of the semicircle=12 inches
Height of the cylinder =13 inches.
Now the volume will be calculated as:-
Total volume of the figure will be the sum of the Volume of the semicircle and the Volume of the cylinder.
= 2πr³+πr²l
= 2xπx(6)³+πx(6)²x13
=1357.16+1470.26
=2827.42 Cubic inches
Hence the volume of the given shape will be equal to V=2827.42 cubic inches.
To know more about Volume follow
https://brainly.com/question/1972490
#SPJ1
Check whether the ordered pair, (4,10) is a solution of the given equation: y=4x-2
Answer:
No, it is not
Step-by-step explanation:
If you substitute 4 for x, the answer is 14. 14 does not equal 10. Therefore, it is not a solution.
PLEASE HELP URGENT 30 POINTS
What transformation maps a circle with radius r onto a congruent circle with radius s and the same center?
Answer:
C
Step-by-step explanation:
Because xyx-x=483=s739
x,y=rx,ry
The scatter plot shows the association between the population of various states in the United States and the number of cellular phone users in those states.
The association between the population and the number of cellular phone users is
and
. If you were to add the following data to the scatter plot, the association would be
.
Population Cellular Phones
State A 23 million 16 million
State B 12 million 10 million
The association as shown by the scatter plot is strong and negative,
What is a scatterplot?A scatter plot is a system of presenting data on the two axes of a cartesian plane.
In this case, we can see that the number of cellphone users decreases as population decreases hence the association is strong and negative.
Learn more about scatterplot:https://brainly.com/question/19741097
#SPJ1
Answer:
Strong, positive, the same
Step-by-step explanation:
The association between the population and the number of cellular phone users is strong and positive. If you were to add the following data to the scatter plot, the association would be the same.
PLEASE HELP ME!!!
Identify the factors of x^2-4x-13
(x+4)(x-3)
(x-4)(x+3)
(x-2)(x+6)
(x+2)(x-6)
Answer:
The expression is not factorable with rational numbers.
Except if you made a typo in your equation and it's x^2-4x-12
calculation:
-6x2=12
-6+2=-4
Then the answer will be (x+2)(x-6)
what’s the area and perimeter for this problem?
Answer:
0.71 m²
Step-by-step explanation:
Area of triangle:base = b = 0.75 m
altitude= h = 1.9 m
[tex]\boxed{\text{\bf Area of triangle = $\dfrac{1}{2}b*h$}}[/tex]
[tex]\sf = \dfrac{1}{2}*0.75*1.9\\\\ =0.7125\\\\ = 0.71 \ m^2[/tex]
Which graph represents the system of equations?
y = -2x + 1
y =-2x^2+1
Answer:
(0,1) (1,-1)
Second graph on top row is your answer.
Step-by-step explanation:
What is the volume in cubic feet of a refrigerator whose interior is 4. 5 feet tall, 2. 5 feet wide, and 2 feet deep?
25. cuft
Answer:
22.5 feet
Step-by-step explanation:
volume of a retangular shape: l*w*h
4.5*2.5*2=22.5
Calculate: 5(3*7^15-19*7^14)/7^16+3*7^15
Step-by-step explanation:
=7¹⁵x 15-7¹⁴x 95/7¹⁶+7¹⁵x3
=1425×7²⁹/7¹⁶+7¹⁵×3
The equilateral triangle shown is rotated about line a. each side of the triangle measures 20 mm. an equilateral triangle is shown. line of rotation a goes through one point and the midpoint of the opposite side. what shape is created by the rotation and what is the approximate circumference of the base? circumference of a circle: c = 2πr a cylinder with a circumference of about 63 mm a cylinder with a circumference of about 126 mm a cone with a base circumference of about 63 mm a cone with a base circumference of about 126 mm
The circumference of the circle based on the equilateral triangle is 63mm.
How to calculate the circumference?The side of the triangle is 20mm. The radius will be:
= 20/2 = 10
The circumference of the circle will be:
= 2πr
= 2 × 3.14 × 10
= 63
In conclusion, the circumference is 63mm.
Learn more about triangles on:
https://brainly.com/question/2486624
#SPJ4
Answer:
a cone with a circumference of about 63 mm
Step-by-step explanation:
By imagining the triangle rotating around the line in the middle, we can see that the triangle will create a cone, not a cylinder.
If one side of the triangle measures 20 mm, then the radius at the base of our cone will be 10 mm. (20 mm is the diameter and the radius is half of that.)
Use 2πr to solve for the circumference and it comes out to 63.
Thus, the rotated triangle will created a cone with a base circumference of about 63 mm.
help me thank you please help
Answer:
I think 2 but sorry if I'm wrong
Step-by-step explanation:
please help me........asap
Answer:
yes every person has an equal chance of being selected
Step-by-step explanation:
Find the surface area of the pyramid.
Answer:
the surface area would be 353 in for the pyramid
Step-by-step explanation:
Identify all solutions for the graph (Check as many that apply)
Answer:
the darkest shaded one.
Step-by-step explanation:
because the two areas for possible answers both intersect at that area, therefore, that is the answer.
James and Michael are the partners in a local business. They needed $480,000 to start the
business. They invested in the ratio 1:2, respectively. How much did James invest?
$140,000
$150,000
$160,000
$170,000
Answer:
James invested $160,000
Step-by-step explanation:
- In total, they needed $480,000 to start the business
- 1:2 ratio means one of them payed double the amount than the other
so the expression would be,
2x + x = 480,000
Let x represent how much they each need to invest
the expression can be simplified to,
3x = 480,000
now you need to get x alone, this would be done be dividing both sides by 3
[tex]\frac{3x}{3} = \frac{480,000}{3}\\x = 160,000[/tex]
James invest $160,000
Michael invest $160,000 x 2 = $320,000
and if you add them together, you get the total amount
$320,000 + $160,000 = $480,000
Let me know if you have any questions !
What is the simplest form of x^2+5X-36/x^2-16
X+9/X+4
9/4
X+9/X-4
-9/4
X+9/X+4
Step-by-step explanation:
(x ^ 2 + 5x - 36)/(x ^ 2 - 16)
=(X+4)(X+9)/(X+4)(X-4)
=(X+9)/(X+4)
l = 12 cm
b = 6 cm
Find area.
[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
l=12 cm; b=6 cm. What is the area?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
[tex]\sf{Formula\:for\:Area:-}[/tex]
[tex]\sf{A=LB}[/tex]According to the above formula, we should multiply L times B, or in this case, 12 times 6:-[tex]\sf{A=12\times6}[/tex][tex]\sf{A=72cm^2}[/tex] (area is always measured in units squared)Good luck with your studies.[tex]\rule{300}{1}[/tex]
The graph below relates y, the distance Kelly walked, to x, the amount of time that Kelly walked?
Please help it’s due TOMARROW
Answer:
for every minute she walked 200 steps so 200= 1
A right-angled triangle has an area of
45 cm².
The width of the triangle is n + 3 cm.
The height is 9 cm less than the width.
45 cm²
n + 3
Find the value of n.
n =
Answer:
A = 1/2 width × height
width = n + 3 cm
height = width - 9 cm
height = n + 3cm - 9cm
height = n - 6cm
A = 1/2 width × height
= 1/2 (n + 3cm) × (n - 6cm)
45cm^2 ×2 = n^2 - 3ncm - 18cm^2
n^2 - 3ncm - 18cm^2 - 90cm^2 = 0
n^2 - 3ncm - 108cm^2 = 0
Find two numbers that their sum is -3 and their product is 108. Therefore, the numbers could be -12 and 9
n^2 - 3ncm - 108cm^2 = 0
n^2 - 12ncm + 9ncm - 108cm^2 = 0
n(n - 12cm) + 9cm(n - 12cm) = 0
(n - 12cm) (n + 9cm) = 0
Either (n - 12cm) = 0 or (n + 9cm) = 0
n = 12cm or n = -9cm
but n = -9cm is invalid because there is no negative distance.
n = 12cm is the answer
how to solve 4.56x1,000
Answer:
4560
Step-by-step explanation:
There are 3 zeros in 1000. If you are multiplying, move the decimal place over however many places to the right that there are zeros. For example,
4.56 x 1000
45.6 x 100
456 x 10
4560 x 1
We moved the decimal place to the right one every time we removed a zero.
This method is extremely useful for multiplying by 1, 10, 100, etc.
Hope this helps!
(This method is an easy yet complicated way to multiply by)
Given ABCD is a trapezoid ad=10 bc=8 ck is altititude of abc=30
find area if abcd
The area of the given trapezoid ABCD in the image shown is calculated as: 54 units²
What is the Area of a Trapezoid?Area of a trapezoid = 1/2(a + b)h.
Given the following:
Area of triangle ACD = 1/2(AD)(CK) = 30 units²
1/2(10)(CK) = 30 units²
5(CK) = 30
CK = 6 units (altitude of trapezoid ABCD)
Area of the trapezoid = 1/2(a + b)h = 1/2(10 + 8)6
Area of the trapezoid = 54 units²
Learn more about the area of a trapezoid on:
https://brainly.com/question/1463152
#SPJ1
Bobby has a party while his parents are away for the weekend. Bobby estimated that if his 9 friends hep him to clean the house, they will finish in time if they start 8 hours before his parents return. But after only two hours of cleaning, Bobby's parents call and say they are just two hours from home. How many more friends does Bobby need to call to help finish cleaning in time.
The number of more friends that Bobby need to call to help finish cleaning in time is 20 friends.
Number of additional friends neededLet x represent number of more friends
Number of hours=8×(9+1)
Number of hours=8×10
Number of hours=80 hours
Hence:
10×2+2(10+x)=80
20+20+2x=80
Collect like terms
2x=80-40
2x=40
Divide both side by 2x
x=40/2
x=20 friends
Therefore the number of more friends that Bobby need to call to help finish cleaning in time is 20 friends.
Learn more about number of additional friends needed here:https://brainly.com/question/351654
#SPJ1
What is the slope of the line through the points (-2, -1) and (4, 3)?
Ans: 2/3
Step-by-step explanation:
Formula : [tex]m = \frac{y2 - y1}{x2- x1}[/tex] (Then replace the number in )
= 3- (-1) / 4 - (-2) = 4 / 6 = 2 / 3
Step-by-step explanation:
the slope is always the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.
so, when going from (-2, -1) to (4, 3)
x changes by +6 (from -2 to 4).
y changes by +4 (from -1 to 3).
therefore, the slope is
+4/+6 = 4/6 = 2/3
A rectangle's width is 2 meters shorter than its length, /. Its area is 168 square meters. Which equation can be used
to find the length of the rectangle?
Answer:
x(x-2)=168
x=14
Step-by-step explanation:
Let the length of the rectangle be x.
width=(x-2)
x(x-2)=168
x^2-2x=168
x=14, x=-12 (rejected)
Factor the algebraic expression.
32a+28
Answer:
The answer is: 4(8a+7) I think...
Have a nice day
i have no idea what its asking and I'm in connection academy b
The radius is 10 units, and each layer is one unit high. What is the volume of the cylinder in cubed units?
Answer:
Volume of cylinder is 6285.71 square units.
Step-by-step explanation:
Given the radius of cylinder 10 units. The height is twice its radius. we have to find its volume.
r=10 units
⇒ Diameter, d = 20 units
Also given height is twice its radius.
⇒ Height=2(r)=2(10)=20 units
Volume of cylinder=πr^2h= 22/7 × 100×20
=22/7 × 2000
= 44000/7
= 6285.71square units.
hence, volume of cylinder is 6285.71 square units.
Answer:
use a volume calculator
Step-by-step explanation:
Please help me with this math problem!! Will give brainliest!! :)
Answer:
Step-by-step explanation:
Systematic random sample
What’s the definition
Answer: Systematic sampling is a type of probability sampling method where sample members from a larger population are selected based on a random starting point but with a fixed, periodic gap.
Step-by-step explanation:
What is the answer to16-5/2?
Answer:
the answer to this question is 5½
