Since Kyle invested $500 and received $650 after three years, the value of Kyles's interest rate is 43.3%.
Given the following data:
Principal = $500Simple interest = $650Time = 3 yearsTo calculate the value of Kyles's interest rate:
Mathematically, simple interest is given by the formula:
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.Making R the subject of formula, we have:
[tex]R = \frac{100S.I}{PT}[/tex]
Substituting the given parameters into the formula, we have;
[tex]R = \frac{100 \times 650}{500 \times 3}\\\\R = \frac{65000}{1500}[/tex]
Interest rate, R = 43.3%
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9=2m+2-3
please tell me what dis is
Answer:
m=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Step 1:
9 = 2m + 2 - 3 Equation
Step 2:
9 = 2m - 1 Combine Like Terms
Step 3:
10 = 2m Add 1 on both sides
Step 4:
m = 10 ÷ 2 Divide
Answer:
m = 5
Hope This Helps :)
After the first week of registration, 92 children had enrolled for the second
session of summer camp. If this represents 80% of the available slots, what
is the maximum number of children the camp can enroll for the second
session?
Answer:
115 children
Step-by-step explanation:
Please see the attached picture for the full solution.
Name the slope and one point that is on the line
represented by the equation: y-6 = 9(x - 1)
A) m = -9 and point (-1,-6)
B) m = 9 and point (-1,-6)
C) m = 9 and point (1,6)
D) m = -9 and point (1,6)
Answer:
B
Step-by-step explanation:
the correct answer is b
Each square in Figures D and E has a side length of 1 unit. Compare the area of the two figures. Which figure has more area? How much more? Explain or show your reasoning.
Option B has more, if you want to have mathematical work just set each of the square side lengths to 1. In the first figure, you have 4 units square for each square so 2 units sq on the first and 4 on the second. Then since the other shapes are half circles or 1/4 circles we can put them together to get full and partial circles. The first shape had 2 full circles and the second shape has 1.5. SO using 1 as the radius, you get 3.14 units sq per circle. Leaving you with (circles) 6.28 + (squares) 2 leaving you with 8.28 units sq for figure 1 and (circles) 4.71 + (squares) 4 leaving you with 8.71 for figure 2. This leaves you with a .43 difference. Hope this helps
Answer:
The areas of all 3 shaded regions are equal: about 30.96 square units (144 - 36π square units). The area of the entire square is 144 square units, because 12⋅12=144. The area of the 1 large circle is approximately 113.04 square units, because 3.14⋅62=113.04. The area of the 4 medium circles is also 113.04 square units, because 3.14⋅32=28.26, and 28.26⋅4=113.04. The area of the 9 small circles is also 113.04 square units, because 3.14⋅22=12.56, and 12.56⋅9=113.04.
Step-by-step explanation:
Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is
positive, and when water is moving from a tank the flow rate is negative. The large tank begins with 300 gallons of
water, and the small tank begins with 200 gallons of water. After a period of 5 minutes, the large tank has the same
amount of water as the small tank. Which statement describes the flow rate?
The flow rate of the large tank is 10 gal/min, and the flow rate of the small tank is -10 gal/min.
O The flow rate of the large tank is -10 gal/min, and the flow rate of the small tank is 10 gal/min.
The flow rate of the large tank is 20 gal/min, and the flow rate of the small tank is -20 gal/min.
The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.
Save and Exit
Answer:
D. The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.
Step-by-step explanation:
Flow rate = [tex]\frac{gallons of water}{minute}[/tex]
flow rate of water in the big tank = [tex]\frac{300}{5}[/tex]
= 60 gallons/minute
flow rate in the smaller tank = [tex]\frac{200}{5}[/tex]
= 40 gallons/minute
The difference in flow rate between the tanks = 60 - 40
= 20 gallons/minute
Since the two tanks have the same amount of water after the given time, then the volume of water in the large tank decrease; while the volume of water in the small tank increased.
Therefore, the flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min. This shows that option D is correct.
Answer:
B
Step-by-step explanation:
took the quiz
A thermometer shows a temperature of Negative 20 and three-fourths degrees. A chemist recorded this temperature in her notebook using a decimal. Which number did the chemist write in the notebook?
Negative 21.ModifyingAbove 4 with bar
Negative 21.ModifyingAbove 3 with bar
Negative 20.75
Negative 20.34
Answer:
The answer is C.
Step-by-step explanation:
3/4 is equal to 0.75. If you combine 0.75 with -20, then it is 20.75.
Answer:
C
Step-by-step explanation:
HELP MEE ;-;
2/3a - 7= 1/3 Round your answer to the nearest tenth.
Answer:
a=11
Step-by-step explanation:
Answer:
a = 11
Step-by-step explanation:
Points that do not lie in the same plane are called________points
Answer:
non - collinear points
Step-by-step explanation:
points that dont lie on the same line
Y-4>3 solve the question
Answer:
y>7
Step-by-step explanation:
y-4>3
+4 +4
y>7
Given g(x) = –2x – 1, find g(1).
Answer:
-3
Step-by-step explanation:
g(1)=-2-1
g(1)=-3
Brainliest appreciated!
A line has a slope of 9 what is the slope of a line it is perpendicular to this line? *
9
-9
1/9
-1/9
Answer: -1/9
Explanation: Perpendicular lines have negative reciprocal slopes.
A negative reciprocal slope is a fancy way of
saying flip the fraction and change the sign.
Notice that our slope is an integer.
We can turn it into a fraction by putting it over 1.
So we have 9/1.
A line perpendicular to this would be a negative reciprocal.
So flip the fraction, giving us 1/9, and change the sign to get -1/9.
how many inches of lumber are remaining?
Answer:
I can't really answer this question because there is no picture of actual question but 1 foot = 12 inches so for instance we could do 6 inches + 3 inches = 9 inches.
Step-by-step explanation: How we would solve this problem is simple.
6 + 3 = 9 if you have to turn this into a fraction it would be 9/12 = (3/4).
What is the value of p?
p+2−4=14
Drag and drop the correct answer in the box.
p = Response area
Answer: p=16
Step-by-step explanation:
Use long division to find the quotient below.
(16x3 + 40x2 + 72) - (2x+6)
A. 8x2 + 3x + 12
O B. 8x2 - 4x + 12
C. 8x2 + 5x + 12
D. 8x2 - 6x + 12
9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8), M(1,6), S(-2,-6), T(2, 10) A Parallel B Perpendicular C Neither Hint(use slope formula)
Which are vertical angles?
In a certain chemical, the ratio of zinc to copper is 4 to 17. A jar of the chemical contains 714 grams of copper. How many grams of zinc does it contain?
It contains
grams of zinc
Answer:
z= 168
Step-by-step explanation:
proportion zinc to copper = 4/17
4/17 = z/ 714
17 • z = 4 • 714
17 • z = 2856
z= 2856/17
z = 168
Answer:
60
Step-by-step explanation:
please help meeeeeeeeeeeeee
The standard height from the floor to the bull’s-eye at which a standard dartboard is hung at 5 feet 8 inches. A standard dartboard is 18 inches in diameter. Suppose a standard dartboard is hung at standard height so that the bull’s-eye is 10 feet from the wall to its left. Sasha throws a dart at the dartboard that land at point 10.25 Feet from the left wall and 5 feet above the floor. Does Sasha’s dart land on the dartboard? Drag the choices into the boxes to correctly complete the statements.
Answer:
Hello! I'm sorry I couldn't get to your question sooner. I just completed this quiz!
The equation of the circle that represents the dartboard is (x-10)^2 + (y-17/3)^2 = 9/16, where the origin is the lower-left corner of the room and the unit of the radius is feet.
The position of Sasha's dart is represented by the coordinates (10.25,5). Sash's dart does land on the dartboard.
This quiz was completed on k12, lesson 3.03.
The question is an illustration of equation of circles.
The equation of the dartboard circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]Sasha's dart lands on the dartboard becauseFrom the question, we understand that:
[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex] ---- the height at which the dartboard was hung
[tex]\mathbf{d = 18\i n }[/tex] ---- the diameter of the dartboard
[tex]\mathbf{B = 10ft}[/tex] --- the bull's eye
[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] --- Sasha's dart
Equation of the circle
First, we convert all units to feet
This is done by dividing inches units by 12
[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex]
[tex]\mathbf{h = 5\ ft\ + \frac{8}{12}\ ft }[/tex]
[tex]\mathbf{h = 5\ ft\ + \frac{2}{3}\ ft }[/tex]
Take LCM
[tex]\mathbf{h = \frac{15 + 2}{3}\ ft }[/tex]
[tex]\mathbf{h = \frac{17}{3}\ ft }[/tex]
[tex]\mathbf{d = 18\i n }[/tex]
[tex]\mathbf{d = \frac{18}{12}ft}[/tex]
[tex]\mathbf{d = \frac{3}{2}ft}[/tex]
Divide by 2 to calculate radius
[tex]\mathbf{r = \frac{3}{2*2}ft}[/tex]
[tex]\mathbf{r = \frac{3}{4}ft}[/tex]
The equation of the circle is represented as:
[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]
In this case:
[tex]\mathbf{a = B = 10ft}[/tex] -- the distance between the bull's eye and the wall
[tex]\mathbf{b = h = \frac{17}{3}\ ft }[/tex] ---- the height at which the dartboard was hung
So, we have:
[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]
[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = (\frac 34)^2}[/tex]
Evaluate the exponents
[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]
Hence, the equation of the circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]
Does Sasha’s dart land on the dartboard?
Yes her dart lands on the dartboard because
[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] is within the circumference of the dartboard
Read more about equation of circles at:
https://brainly.com/question/23988015
If Jan is 3 years older now than Dale was 2 years ago, then Jan is how many older than Dale is right now.
A) 1 year
B) 2 years
C) 3 years
D) 5 years
the area of a square is 73.96 m^2 .calculate the length of its side.
Answer:
8.6m
Step-by-step explanation:
mark me as the brainliest
Answer:
8.6 m
Step-by-step explanation:
Given the area, squareroot the area of the square and you will find the length of it's side.
3x^2-4+5= 0 PLEASE HELP ASAP will mark brainliest
Answer:
3x^2+1
Step-by-step explanation:
you cannot add in the 3x^2 and the -4 and 5 but you can add the -4 and the 5
I hope this helps!
Step-by-step explanation:
3x to the power 2 is 9x;
New equation: 9x-4+5 = 0
9x- (4+5) = 0
9x-9=0
x=1
One number is six times as large as a certain smaller number. Let x represent the smaller number.
Write the number that is 20 more than the smaller number.
Answer:
24
Step-by-step explanation:
6x = x + 20
Subtract x from both sides
5x = 20
Divide by 5 on both sides
x = 4
Confirm
4 times 6 equals 24, and 4 + 20 is 24 as well.
Make a table for the function. You will be using your table to graph on the next pro y - 2x + 3 Domain:{-3, -1, 0, 2} х y - 1 0 2
[tex]For \: x = -1 , y = 2(-1) + 3 = 1 [/tex]
[tex]For \: x = 0, y = 2(0) + 3 = 3[/tex]
[tex]For \: x = -3, y = 2(-3) + 3 = -3[/tex]
[tex]For \: x = 2, y = 2(2) + 3 = 7 [/tex]
in 2015, the number of fish in a pond was 80. In 2016 The number of fish declined by 75% How many fish were in the pond in 2016?
I think the the answer is 20
Please help me solve both of them
Answer:
first one: a,d,e
second one: d
Step-by-step explanation:
pemdas
Answer:
1.- A
2.- A
Step-by-step explanation:
what number is 1/10 of 8000000
Answer:
800000
Step-by-step explanation:
SHOW YOUR WORK! PLEASE HELP ASAP.
ITS REALLY SIMPLE PLEASE HELP DONT IGNORE
Xavier is solving a problem on the whiteboard as shown.
Part A. Is Xavier's solution correct? If not, identify where he made an error.
Part B. Solve 7950 divided by 25.
Let us see how we can solve this step by step each :
6417 ÷ 31 , we divide 64 by 31 and get the resulting quotient as 2 .
Then we bring down 1 . So , the number below is 21 , which cannot be divided by 31 .
So , we will have to bring down 7 for which we have to add a 0 to the quotient . Then the quotient will become 20 as of now .
As 217 is divisible by 3 , I put seven near 21 , making the quotient as 217 and get the remainder 0 .
Hence in the correct solution the correct quotient = 207 .
In Xavier's solution :But the same thing has not been done in Xavier's solution as he has put a 0 after 7 instead of putting it before 7 . Hence , Xavier's mistake is that he put the 0 after 7 instead of putting it before 7 .
In Xavier's solution the quotient is = 270
Therefore , Xavier's mistake is that he put the 0 after 7 instead of putting it before 7 .
Yoko made $306 for 18 hours of work.
At the same rate, how much would she make for 8 hours of work?
What’s the answer I need help
Answer:
$136.
Step-by-step explanation:
Divide how much they made by the # of hours. 306/18=17. Multiply the amount per hour 17 by the 8 hours of work. 17x8=136.
Can someone please help me with this question (there are more questions like this that I will post later, if your answer is correct I will give you brainliest)
Answer:
1. alterative exterior angles.
Step-by-step explanation:
I don't know what the rest of the other options are. So I can't answer the rest.