Part i) Simple interest = $600,000.00.
Part ii) Selling price = $2,900,000.00.
What is defined as the simple interest?Simple interest is a simple and quick method to approximate the interest on a loan. Simple interest is calculated by multiplying this same daily interest rate by the principal multiplied by the number of days between payments.Part i) The formula for simple interest is;
SI = PRT/ 100
P = principal amount = $2,000,000.00.
R = rate of interest = 15%
T = time in years = 2 years.
Put the value in the formula;
SI = ( $2,000,000 × 2 × 15)/100
On simplification;
SI = 600,000
Thus, the simple interest at the end of 2 years is $600,000.oo
Part ii) the selling price
Selling price = cost price + profit
Selling price = cost price + 45%of cost price
Cost price = $2,000,000.00
45%of cost price = 45× $2,000,000.00/100
45%of cost price = 900,000.00
Selling price = $2,000,000.00 + 900,000.00
Selling price = $2,900,000.00.
The the selling price of the fridge is found as $2,900,000.00.
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A is the midpoint of segment ST. Point A is located at (7,-1) and point S is located at (5,0). What are the coordinates of point T?
The coordinates of point T is (9,-2)
Given that A is the midpoint of segment ST. midpoint A has coordinates (7,-1) and point S has coordinates ( 5,0 ) and asked to find the coordinates of the point T
Let's assume the coordinates of the point T as(a,b)
Midpoint formula for a line segment having endpoints (x1,y1) and (x2,y2)
Let's assume the midpoint as (X,Y)
(X,Y)=([tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])
Here the endpoints of the linesegment ST are S(5,0) and T(a,b) and the midpoint of the linesegment ST is A and has coordinates (7,-1).
⇒(7,-1)=([tex]\frac{5+a}{2}[/tex],[tex]\frac{b}{2}[/tex])
⇒7=[tex]\frac{5+a}{2}[/tex]⇒14=5+a⇒a=9
⇒-1=[tex]\frac{b}{2}[/tex]⇒b=-2
Therefore,The coordinates of point T is (9,-2)
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Find the difference.
1. -16 -4 =
4. -13 -2 =
7. -12-7=
10.-23-6=
13. 4 + 9 =
16. 5 + 3 =
19. 4+ 10 =
22. -4 + 1 =
2.-19-28 =
5. 9-3 =
8. -21-1=
11. 1-3 =
14. -8 + 8 =
17. -5 + 9 =
20. 6+-3 =
23. -2 -2 =
3. 3 10 =
6. 1-5=
9. 20-8=
12. -9 -0 =
15. 4 + 6 =
18. 2 + 2 =
21. -6 -5 =
24. 4 + 1 =. Please help ! Ill mark brainliest
Answer:
rHrhstdu.guf.ugdtuy.
Step-by-step explanation:
1. -16 -4 = -20
4. -13 -2 = -15
7. -12-7= -19
10.-23-6= -29
13. 4 + 9 = 13
16. 5 + 3 = 8
19. 4+ 10 = 14
22. -4 + 1 = 3
2.-19-28 = -47
5. 9-3 = 6
8. -21-1= -22
11. 1-3 = -2
14. -8 + 8 =0
17. -5 + 9 =4
20. 6+-3 = 3
23. -2 -2 = -4
3. 3 .10 =30[ there is no sign so these numbers are multiplied ]
6. 1-5= -4
9. 20-8= 12
12. -9 -0 = -9
15. 4 + 6 = 10
18. 2 + 2 = 4
21. -6 -5 = -11
24. 4 + 1 = 5
the width of a rectangle is 4ft more than twice the width. the perimeter of the rectangle is 26ft. What are the dimensions of the rectangle?
Let w represent the width.
The length of the given rectangle is 4ft more than twice the width. The perimeter of the particular rectangle is 26ft. Length and width of the rectangle is [tex]10ft[/tex] and [tex]3ft[/tex]
As per the question statement, The length of the given rectangle is 4ft more than twice the width. The perimeter of the particular rectangle is 26ft.
We are supposed to find out dimensions of the rectangle.
Let length of the rectangle = l
Width of the rectangle = w
[tex]l = 4 + 2w[/tex]
Perimeter of rectangle = [tex]2(l+w)[/tex]
Above mentioned are the given conditions in the linear equation form.
Perimeter of rectangle = [tex]2(l+w)[/tex] = 26 ft.
[tex]l+w = \frac{26}{2}[/tex]
[tex]l+w =13[/tex]
substituting [tex]l = 4 + 2w[/tex]
[tex]4+2w+w=13\\4+3w=13\\3w=13-4=9\\w=\frac{9}{3}[/tex]
[tex]w=3[/tex]
Hence width is 3ft.
Now length, [tex]l = 4 + 2w[/tex]
[tex]l=4+2*3\\l=4+6\\l=10[/tex]
And length is 10ft.
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FInd the value of b so that x=2 is a solution to the equation below.
b(2x+6)=30
Answer:
b = 3
Step-by-step explanation:
We already know that x = 2, so just plug it back into the equation to solve for the variable b.
[tex]b(2(2)+6)=30[/tex]
[tex]b(4+6)=30[/tex]
[tex]10b=30[/tex]
[tex]b=3[/tex]
We can check this by plugging it back in:
[tex]3(2(2)+6)=30[/tex]
[tex]3(10)=30[/tex]
[tex]30=30[/tex]
This is the correct solution :)
What steps would you take to approximate the total amount Gwinnett
County must pay teachers for the whole year?
The steps that you should take to approximate the total amount that Gwinnett County must pay teachers for the whole year are:
Find out the average wages paid to teachers in Gwinnett County.Find out the number of teachers in Gwinnett County.Multiply the number of teachers with the average wages paid. How to find the approximate amount paid to teachers?The approximate amount that is paid to teachers in will be based on the average wages that is paid to teachers in Gwinnett County. You can find this out by conducting an anonymous survey of different levels of teacher salaries in Gwinnett County or you can find it from the relevant Gwinnett County government department.
Then, look for records to show the number of teachers in Gwinnett County.
Multiply these two figures and you will then get the approximate the total amount that Gwinnett County needs to pay its teachers.
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Which statement is true?
*
1 point
. Every rhombus has 4 equal angles.
. Every trapezoid has 2 pairs of opposite parallel sides.
. Every square has 4 equal sides and 4 right angles.
. Every parallelogram has 4 equal sides.
Answer:
every square had four 4 equal sides and 4 right angles
1/2| + 8| = |4 − 1|
pls help
Answer:
What are you even trying to solve for? There is no variable or anything
Step-by-step explanation:
The product of 3 and the sum of 11 and a number
Answer:
let the number be x
3×(x+11)
3x+33
Student tickets to a theme park are $15 per person plus a travel fee of $50. The equation y = 50+ 15x represents the total cost, where x is the number of students. If there are at least 10 students but no more than 15 going on the trip, what is the domain of the situation?
Based on the given parameters, the domain of the situation is 10 <= x <= 15
What is the domain of a function?The domain of the function is the set of input values of the graph
How to determine the domain of the situation?The equation of the function is given as:
y= 50 + 15x
Where
Travel fee = $50Theme park ticker = $15 per personFrom the question, we understand that:
At least 10 students but no more than 15 are going on the trip
When the above is represented as an inequality, we have
10 <= x <= 15
Where x is the number of students
Hence, the domain of the situation is 10 <= x <= 15
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PLEASE HELP FAST PLEASE PLEASE
Answer:
6
Step-by-step explanation:
Because 5×12 is 60
and 1×12 is 12
Add them and you get 72 and 6
Hope this helps!
The size of a dollar bill is 6.6 cm wide, 15.6 cm long and 0.109 mm in thickness. approximately how many dollar bills are in a 0.28 inch stack.
There are 4 dollar bills are in a 0.28 inch stack.
Given that, the size of a dollar bill is width= 6.6 cm, length=15.6 cm and height= 0.109 mm= 0.109/10 =0.0109 cm.
What is the volume of the cuboid?The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height. If we have a rectangular sheet and we go on stacking such sheets, we will end up getting a shape that has some length, breadth, and height. The formula to find the volume of the cuboid = Length × Width × Height.
Now, the volume of a dollar bill=15.6 × 6.6 × 0.0109
=1.122264 cm³
Conversion of cm³ to cubic inches.
That is, 1.122264×0.0610237=0.06848≈0.07
Now, the number of dollars bills=0.28/0.07
=4
Therefore, there are 4 dollar bills are in a 0.28 inch stack.
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Which expression is equivalent to (4y²) ³ (3y²)?
O 12y8
12y12
192y8
192y12
Answer: It is 192y^8. Just solve each one seperately until the answers match. Reduce the expression to 192y^8. Feel free to message me for an explanation
Answer: C. 192y>8
Step-by-step explanation:
Solve for e: E/e = (R + r)/r
The equation solved for e gives e = rE/(R + r)
Subject of formulaFrom the question, we are to solve for e. That is, we are to make e the subject of the given formula.
The given formula is
E/e = (R + r)/r
First cross multiply
E/e = (R + r)/r
e(R + r) = rE
Now, divide both sides of the equation by (R + r)
That is,
e(R + r)/ (R + r) = rE/ (R + r)
Thus,
e = rE/ (R + r)
Hence, the equation solved for e gives e = rE/(R + r)
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Quadrilateral ABCD has vertices A = (2, 5), B = (2, 2), C = (4, 3) and D = (4, 6). Quadrilateral A'B'C'D' is formed when Quadrilateral ABCD is dilated by a scale factor of 2. Which statement is true? Select all that apply
can someone answer this please
Considering that the transformation is a dilation, the correct statement is given by:
The angles of Quadrilateral ABCD and A'B'C'D' are the same.
What are the statements?There are three statements:
None of the answers apply.The side lengths of Quadrilateral ABCD and A'B'C'D' are the same.The angles of Quadrilateral ABCD and A'B'C'D' are the same.What is a dilation?A figure is said to go through a dilation is when it's side lengths are changed, either enlarged or diminished, but the angles remain constant.
For this problem, the scale factor is of 2, meaning that the side lengths are doubled, while the angles remain constant and the correct statement is:
The angles of Quadrilateral ABCD and A'B'C'D' are the same.
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Determine if there is an outlier in the given data. if yes, please state the value(s) that are considered outliers. 43,44,25,13,47,34,9,53,25,41,9,54,31,6
There is an upper outlier and lower outlier that is 86.875 and -26.875.
An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. In a sense, this definition leaves it up to the analyst (or a consensus process) to decide what will be considered abnormal. Before abnormal observations can be singled out, it is necessary to characterize normal observations.
Descriptive statistics
data=n=14
mean= 30.29
sample standard deviation= 18.35
sample variance = 336.84
minimum= 1
maximum= 52
range= 51
1st quartile
16.25 = median
37.50 = 2nd Quartile.
3rd quartile = 44.50
4th interquartile range = 28.25
mode = 3.00
Lower limit for outlier = Q1-1.5*IQR =16.25-1.5*28.25 =-26.125
Upper limit for outlier = Q3+1.5*IQR =44.50+1.5*28.25 =86.875
All the data points inside the limits.
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Round 9.19 to the nearest 25 cents
The rounded form of the number 9.19 which represents $9 and 19 cents to the nearest 25 cents is; 9.25
What is the rounded form of 9.19 to the nearest 25 cents?It follows from the task content that the number is required to be rounded off to the nearest 25 cents.
On this note, it follows that only 25 cent intervals are considered.
Hence, the number in discuss can either be rounded up to 9.25 or 9.00.
However, since the fractional 19 cents is closer to 25 more than it is to 0 on the number line, the rounded form of the number is;
= 9.25.
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i need help again lol its meee
The cost of pumpkins is shown in the table. Determine whether the cost of a pumpkin is proportional to the number bought by graphing the relationship on the coordinate
plane. Explain.
Number of Pumpkins: 0 1 2 3 4
Cost: ($) 0 4 8 12 16
Cost of pumpkins
y
16
12
8
4
0 2 4 6 8 x
Pumpkins
Yes, it is true the cost of a pumpkin is proportional to the number bought.
What is the Proportional Relationship?
We are given the table showing cost of each number of pumpkins. Now, let us analyze the table values;
1) When number of pumpkins is 1, then cost is $4. Thus;
Cost per pumpkin = 4/1 = $4 per pumpkin
2) When number of pumpkins is 2, then cost is $8. Thus;
Cost per pumpkin = 8/2 = $4 per pumpkin
3) When number of pumpkins is 3, then cost is $12. Thus;
Cost per pumpkin = 12/3 = $4 per pumpkin
4) When number of pumpkins is 4, then cost is $16. Thus;
Cost per pumpkin = 16/4 = $4 per pumpkin
In all these rates, we see that the cost rate for pumpkins remains the same. Thus, we can conclude that it is true the cost of a pumpkin is proportional to the number bought.
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Find the average of first six multiples of 2.
Answer:
7
Step-by-step explanation:
2+4+6+8+10+2
=42÷6(coz 6 multiples)
=7
Miranda bought a square frame that has an area of 30 square inches.What is the approximate side length of the frame to the nearest tenth?
Answer:
6in lenght
Step-by-step explanation:
cause 30in square = 5 multiplied by 6 = 30
0olve the equation
x/6 -5 = (-13)
Answer:
x=-13
Step-by-step explanation:
[tex]\frac{x}{6-5}=\left(-13\right)[/tex]
[tex]\frac{x}{1}=\left(-13\right)[/tex]
[tex]x=-13[/tex]
Answer: x= -48
Step-by-step explanation:
x/6 -5 = -13 check answer
+5 = +5 (-48)/6 -5 =-13
x/6 = -8 -8 -5 = -13
6(x/6) = (-8)6 -13 = -13
x=-48
26
Write the time.
O
10
11
7
12
وانيه
Answer is 5:30.. Hope it Helps
what is this in simplest form 1 3/8 - -7/8)=
Answer:11
Step-by-step explanation:
Lucy's dog lost 6 pounds. How much weight does her dog have to gain in order to have a net change of 0 pounds?
Lucy's dog needs to gain 6 pounds.
Lucy's dog lost 6 pounds so the dog will have to gain 6 pounds.
Classify the angle as acute , obtuse , right , or straight
Answer:
From top to the bottom:
Acute,
Right,
Straight
Step-by-step explanation:
An acute angle is formed when the measure of the angle is smaller than 90° which is provided in te first image.
A right angle is formed when the measure of an angle is precisely 90° which we can see in the second image.
A straight angle is formed when the measure of an angle is precisely 180° no less no more, which we can see in the last image.
3.1 Activity 3 - Individual Assessment (Volumes)
Step-by-step explanation:
3.1.1 The base of the prism is a rectangle.we know this by checking the properties of the base,that is, opposite side are equal and it has all angles equal to 90°
3.1.2the area of a rectangle is calculated using the formula: A=LxB
where: A is the Area
L is the Length of the shape
B is the breadth
3.1.3 to calculate the volume of a prism we can use the formula V=A(base)xh
where:V is the volume
A is the area of the base
h is the height of the prism
3.1.4V=Axh
=(LxB)xh
=(140mm x 115mm)x 125mm
=2012500mm³
jeremy has 25 marbles, he gives 5 to his teacher, then he give five to his best friends. once he gets home he gives 5 to his sister right the terms in order to determine how many marbles he has
Answer: 25 - 15 = 10
Step-by-step explanation:
Ava had a budget of $340 to remodel her kitchen. After Ava finished, the cost was 25% more than her budget. What was the total cost to remodel Ava’s kitchen?
2.4z + 1.2z - 6.5 = 0.7
Answer: z = 2
Step-by-step explanation:
2.4z+1.2z-6.5=0.7
3.6z-6.5=0.7
3.6z=0.7+6.5
3.6z= 7.2
z=7.2/3.6
z=2
Select the correct answer. Which expression simplifies to 2√15
Answer:
√
30
Step-by-step explanation: Simply multiply
√
2
and
√
15
=
√
30
[Caution: If it were -2 and -15, this type of multiplication would not be correct.]
