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: 522.5$
:
First calculate yearly interest
500 x 0.015 = 7.5
7.5 x 3(for 3 years) = 22.5
Then add them together!
500 + 22.5 = 522.5
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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
The formula to calculate the gravitational force between two objects is F_g=GM_1M_2/r^2, where M_1 and M_2 are the masses of the objects, G is the gravitational constant and r is the distance between the objects. Solve for M_1 in terms of F_g, G, M_2 and r.
Answer:
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Step-by-step explanation:
From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:
[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]
Thus, cross multiply to have;
[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]
then divide through by G[tex]M_{2}[/tex] to have,
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
ESCRIBE LA EXPRESION ALGEBRAICA : Paul tenía S/ e. Compró un libro y recibió S/ 3 de vuelto. ¿Cuánto costó el libro en términos de e? *
Answer:
p(e)=e-3
Step-by-step explanation:
De acuerdo a la información proporcionada, sabes que Paul tenía una determinada cantidad e y al comprar el libro recibió 3 de vuelto, lo que significa que el precio del libro sería igual a restar 3 de la cantidad que tenía al inicio, lo cual se puede expresar de la siguiente forma:
p(e)=e-3, donde
p es el precio del libro
e es la cantidad que Paul tenía al inicio
May someone please help me with this :)
Answer:
14.3 yd
Step-by-step explanation:
apply the pythagorean Theorem formula:
= sqrt(14^2 +3^2)
= sqrt(205)
roughly 14.3 yd
A rectangular plot of land is represented on a map by the vertices (10,10), (10, 90), (70.5, 90), and (70.5, 10), where the x- and y-coordinates are measured in yards. What is the area of the plot of land?
Answer:
Area of the plot of the land is 4840 square units.
Step-by-step explanation:
Let's draw the rectangle approximately on an x y plane. That would help us to find the length and width of the rectangle.
Answer: 4,480yd^2
Step-by-step explanation:
You have the x and y coordinates of the vertices (10, 10), (10,90), (70.5,90), and (70.5, 10) you have the coordinates: x and y as the first two which are the ones in bold. From that you do 70.5-10= 60.5.
Then you subtract the x and y coordinates again, which are underlined. From that do 90-10=80
Last you do 60.5x80=4,840 yards squared
Mark me brainliest!!!
Hope this Helps!!!
please help ASAP... here is a question WRITE 894 290 000 IN SCIENTIFIC NOTATION
Answer:
hey there, the answer is 8.9429 × 10^8
Answer:
8.9429 × 10^8
Step-by-step explanation:
ya the answer is 8.9429 × 10^8
The price for a house with an area of 56 mx 48 m is RM375 800. Calculate the price for 1
square meter of the house correct to three significant figures.
10) 3x + x + x + x - 3 - 2 = 7 + x + x
In the equation above, what is the value of x?
Answer:
Step-by-step explanation:
x=3
The radius of each tire on Carson's dirt bike is 10 inches. The distance from his house to the corner of his street is 157 feet. How many times will the bike tire turn when he rolls his bike from his house to the corner? Use 3.14 to approximate π.
Answer:
30
Step-by-step explanation:
the street and the diameter of the bike are not measured in the same units. We have to convert them to the same units
1 feet = 12 inches
157 x 12 = 1884
circumference of a circle = 2nr
2 x 3.14 x 10 = 62.8 in
Number of revolutions = 1884/62.8 = 30
If I have 14 neutrons and 11 electrons, what is my mass number?
A.25
B.3
C.11
D.14
Answer:
A : 25
Step-by-step explanation:
In a neutral atom, the number of electrons is equal to the number of protons. The atomic number indicates the number of protons.
The mass number is the sum of the number of neutrons and the number of protons.
mass number=protons+neutrons
As we know from the atomic number, the number of neutrons is 14 and the number of electrons is 11.
mass number = 14 + 11
Please answer the question above.
Answer:
40 degrees
Step-by-step explanation:
x=7 so 4x+12 would be (4×7) + 12)
28+12= 40
Directions Find the value of each variable
Answer:
X= 2 sqrt of 7
Y=2 sqrt of 7
Step-by-step explanation:
I just know the answer srry
write the function that represents the sequence in the table
The point g (2,2) is translated 3units to the right and 4units up what are the coordinates of this resulting point, g?
Answer:
(5,6)
Step-by-step explanation:
Generally, is the coordinate (x,y) is translated right by a units and up by b units, the resulting coordinate wil be;
g(X, Y) = (x+a, y+b)
To the right is along the positive x axis while up is along the positive y axis
Given a = 3 and b = 4
g(X,Y) = (2 + 3, 2 + 4)
g(X, Y) = (5, 6)
Hence the resulting coordinate of g is (5,6)
c) Jasper and Emma are training for a marathon. Jasper runs 6 kilometers at a
time while Emma prefers to run in blocks of 3 kilometers. At the end of a
month, they realize that they have run same total number of kilometers. What
is the smallest number of kilometers that each must have run?
Answer:
The smallest number of kilometers that each must have ran is 6 km
Step-by-step explanation:
The distance Jasper prefers to run at a time = 6 km
The distance Emma prefers to run at a time = 3 km
The distance ran by Jasper at month end = The distance ran by Emma at the end of the month
The smallest number of kilometers that each must have ran is given by the lowest common multiple, LCM of 6 and 3 as follows;
The multiples of 6 are;
6 × 1 = 6, 6 × 2 = 12...
The multiples of 2 are;
3 × 1 = 3, 3 × 2 = 6...
∴ The LCM of which = 6
Therefore, the smallest number of kilometers that each must have ran = 6 km
How many equal sections divide a directed line segment if it is to be partitioned with a 2:7 ratio? 2, the least number given in the ratio
2, the least number given in the ratio
14, the least common multiple of the numbers given in the ratio
9, the sum of the numbers given in the ratio
5, the difference of the numbers given in the ratio
7, the greatest number given in the ratio
9514 1404 393
Answer:
9, the sum of the numbers given in the ratio
Step-by-step explanation:
The reduced ratio 2 : 7 means that two parts correspond to one length and 7 parts correspond to the other length. That is, there are a total of 2+7 = 9 parts in the full length of the segment.
It is convenient to think of the line segment as being divided into 9 equal parts.
_____
Additional comments
It is often helpful to consider the total number of "ratio units" in a given ratio. For example, in this problem, the shorter segment is 2/9 of the whole, and the longer one is 7/9 of the whole.
It can also be useful to consider what a "ratio unit" represents. If the whole segment is 27 inches long, then each of the 9 ratio units will represent 3 inches, for example. This means the division 2:7 is 2(3 in):7(3 in) = 6 in : 21 in.
how do I solve for x for number 4
Answer: 20.8
Step-by-step explanation:
Since it is an equilateral triangle, we know the bottom is also 24. We also know that line E is bisecting the base. So using the smaller right triangle we know that the hypotenuse is 24 and one leg is 12. So use the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\12^{2} +b^{2} =24^{2} \\144+b^{2} =576\\b^{2} = 432\\b= 20.8[/tex]
The circumference of a tree trunk is 50 ft
Answer:
So the length will be the same as the length of the torso
Find the simple interest paid to the nearest cent for each principal, interest rate, and time. $570, 2%, 4 years
Answer:
570 of 2% 4years
570×2÷100 4years
11.5 × 4÷12
3.8..
which equation represents the graph below
A. y= x^2 + 3
B. y= -x^2 + 3
C. y= -x + 3
D. y= -x^2
Answer:
B
Step-by-step explanation:
The y-intercept is 3 and the parabola is facing down which means the x^2 has to be negative.
Identify the range of the function shown in the graph.
Answer:
-3 < x < 3
Step-by-step explanation:
Help me plzz...!!!!!!!!!!
Answer:
i can see can we talk
Step-by-step explanation:
What is the image of the point (-7,-8)(−7,−8) after a rotation of 270^{\circ}270 ∘ counterclockwise about the origin?
The image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
What is counterclockwise ?
Counterclockwise is a direction of rotation that is opposite to the direction of the hands on a clock. It is also known as anticlockwise in some parts of the world. When viewed from above, counterclockwise rotation goes in the direction of a left-handed spiral, while clockwise rotation goes in the direction of a right-handed spiral. In mathematics, physics, and other fields, counterclockwise is often used as a standard convention for the positive direction or orientation of angles, planes, and other geometric objects. In graphical user interfaces, counterclockwise rotation is often used to indicate an undo or reverse action, while clockwise rotation is used to indicate a redo or repeat action.
According to the question:
When a point is rotated by 270 degrees counterclockwise about the origin, the new point is found by switching the x and y-coordinates of the original point, and negating the new x-coordinate. So, to find the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin, we can use the following formula:
(x', y') = (-y, x)
where (x, y) is the original point and (x', y') is the new point after the rotation
Plugging in the values from the given point, we get:
(x', y') = (-(-8), -7)
Simplifying this expression, we get:
(x', y') = (8, -7)
Therefore, the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
To know more about counterclockwise visit:
https://brainly.com/question/25194571
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Change the fraction 3/4 to a percent
Answer:
0.75
Step-by-step explanation:
what you do is divde 3 by 4 which equals to 0.75
Answer:
75%
Step-by-step explanation:
If your rounding 2 decimals. Hope this helps!
SIMPLE 7TH GRADE MATH PROBLEM?!?!
Answer:
I'm sure it is 25 hope this helps!!!
Answer:
Should be 25
Step-by-step explanation:
Lol is that pearson realize? i hate that buddy good luck
help plzzzzzzzzzzzzzz
Answer:
a) 20ft
Step-by-step explanation:
just multiply the model length and the scale factor
Cant seem to figure out the answer help?
Answer:
The surface area is 900cm^2
Step-by-step explanation:
Multiply 3 and 10 to get 30
Then square 30 by multiplying 30 x 30, to get 900.
Answer:
The Surface of the area is 30.
Step-by-step explanation:
Multiply 3 and 10. And you get 30. Hoped this helped : )
pls help me 10 points
Answer: Approximately 20 miles per gallon
Step-by-step explanation:
The line of best fit is an approximate average. In order to predict the fuel efficiency you just estimate the place where x = 4800 and see what the y value of the line is for that point. In this case it's around 20 miles per gallon.
the perimeter of a rectangular red sticker is 34 mm. it is 8 mm tall. how wide is it?
Answer:
9mm
Step-by-step explanation:
34-16=18
18/2=9
A membership price for the local pool went
from $80 to $60. What is the percent
change in membership cost?
3. A store clerk sold 60 pairs of sneakers. The
high-tops sold for $98.99 and the low-tops sold for
$129.99. If the receipts for the two types of sales
totaled $6,404.40, how many of each type of sneaker
were sold?
Answer:
High top pairs- 45
Low top pairs- 15
Step-by-step explanation: