Step 1. Gather all of the information.
We have the Principal P:
\(P=2300\)The total amount A for the loan's future value:
\(A=2840\)And the time t in moths:
\(t=9\text{months}\)We are going to need the time in years, so we consider that 9 months are 9/12 of a year:
\(t=\frac{9}{12}\text{years}\)Which can be simplified to 3/4 of a year:
\(t=\frac{3}{4}\)Step 2. Remember the simple interest formula:
\(A=P(1+rt)\)From this formula, we will need to find the simple interest rate r, so we will solve for r.
-The first step to solve for r is to divide both sides by P:
\(\frac{A}{P}=\frac{P}{P}(1+rt)\)on the right-hand side P/P is 1 so we are left only with 1+rt:
\(\frac{A}{P}=1+rt\)-the second step to solve for r is to subtract 1 to both sides:
\(\frac{A}{P}-1=1-1+rt\)On the right-hand side, 1-1 cancels each other:
\(\frac{A}{P}-1=rt\)-the last step to solve for r is to divide both sides by t:
\(\frac{\frac{A}{P}-1}{t}=r\)This is the equation we will use to find the value of r.
Step 3. Substitute the known values into the formula to find r:
\(\begin{gathered} r=\frac{\frac{A}{P}-1}{t} \\ r=\frac{\frac{2840}{2300}-1}{\frac{3}{4}} \end{gathered}\)We have substituted the values of A, P and t.
Simplifying the fractions:
\(r=\frac{1.2348-1}{0.75}\)Solving the final operations:
\(\begin{gathered} r=\frac{0.2348}{0.75} \\ r=0.313 \end{gathered}\)This is the simple interest rate represented in decimal form, to convert it to percentage, we need to multiply the result by 100:
\(\begin{gathered} r=0.313\times100 \\ r=31.3 \end{gathered}\)The final result is 31.3%
Answer:
the simple interest rate to the nearest tenth is:
31.3%
True or false is 6x10^5 is 20 times as much as 3x10^4
answer
TRUE
HOPE IT WILL HELP YOU
Solve the following system of equations graphically on the set of axes below.
Y=1/3x+6 y=-5/3x-6
Answer:
I can not solve it in the system of the image, but i will give you the graph so you can copy it, or at least see how it is done.
First, we have the lines:
y = (1/3)*x + 6
y = (-5/3)*x - 6
To graph these lines, you must find two points for the lines and then draw a line that connects the points.
To do it, you can evaluate each line in two different values of x, for example for the first line we can have:
y(0) = (1/3)*0 + 6 = 6 (then we have the point (0, 6))
y(3) = (1/3)*3 + 6 = 7 (then we have the point (3, 7))
And for the second line, we will have:
y(0) = (-5/3)*0 - 6 = -6 (then we have the point (0, -6))
y(3) = -(5/3)*3 - 6 = -11 (then we have the point (-3, -11))
Now with those points we can graph the lines, and the solution of the system of equation will be the point where the two lines intersect.
The graphs of the lines are shown below:
Where the grey line is the first one, and the green is the second.
In the graph, you can see that the lines intersect in the point (-6, 4)
Then the solution for the system is x = -6, and y = 4.
You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
Select all the equations that can be represented by a straight line when graphed ton on the coordinate plane.
1/x +y=9
x = 16 + 3y
x= - 2y^2 + 7
8x - 5y = 30
y = -6(x + 10)
y = x(3-X) + 1
The equations that can be graphed with a line are:
x = 16 + 3y8x - 5y = 30y = -6*(x + 10)Which equations can be graphed with lines?The equations that can be graphed with lines are called linear equations, and generaly they can be written as:
a*x + b*y = c
So we have two variables and both have an exponent of 1.
Then the options that are linear equations are:
x = 16 + 3y
8x - 5y = 30
y = -6*(x + 10)
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y=2/3x-4 i need help i do not get this does anybody know slopes
Step-by-step explanation:
slope in this case is 2/3
this equation is in slope intercept form
y=mx+b
m is slope
and b is y-intercept
so
m =2/3
b=-4
Answer: The slope is 2/3 (0.666...)
Step-by-step explanation: The slope is the coefficient of X in slope-intercept form. y=2/3x-4 is in slope-intercept form (y=mx+b) m = slope, b = y-intercept (the Y value when the X is equal to 0)
On a graph, it looks like this:
ignore the green line
Answer:
What are the answer choices? please post it I really want to help
Step-by-step explanation:
Answer:
I don't get this but it might be -12 for K and -3 for I and -6 for J
Step-by-step explanation:
A turtle travels 25 miles in 5 hours. What is the turtle's average rate of speed?
Answer:
4 mph
Step-by-step explanation:
If we take 25 miles, and divide it by the 5 hours, we get 4 miles per hour.
Answer:
Step-by-step explanation:
5mph for first part ill brb on second part
explain why 120% cannot be the probability of some event?
Answer:
A probability must be between zero and one.
Step-by-step explanation:
Probability is the chance of something occuring. 120% is not realistic in real world examples, because the probability standard ranges from "definitely will not happen" to "definitely will happen", meaning a 0% chance of it occurring to 100% chance of it occurring. The only time 100.0%+ will be applicable are typically in simulations, which allows for such to counterbalance any negatives percentages that is allocated to the target. However, in the real world, it will never go over 100%.
qu2.05 ML
Solve for x: 5|2x - 2] + 8 = 18.
Answer:
512x−2+8=18
Step 1: Simplify both sides of the equation.
512x−2+8=18
512x+−2+8=18
(512x)+(−2+8)=18(Combine Like Terms)
512x+6=18
512x+6=18
Step 2: Subtract 6 from both sides.
512x+6−6=18−6
512x=12
Step 3: Divide both sides by 512.
512x512=12/512
x= 3/128
Answer:
x=3/128
PLEASE HELP DUEEE NOW !!!A diagram of a roundabout that is being designed to improve driver safety on a busy road is shown. The radius of the circular field planned for landscaping is 27.5 feet. What is the approximate distance around the outside of the circular field?
A. 345.4 feet
B. 172.7 feet
C. 86.35 feet
D. 2,323.1 feet
The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.
How to evaluate for the circumference of a circleTo calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).
We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:
Radius of the circular feild = 27.5
circumference of the circular feild = 2 × 27.5 feet × 3.14
circumference of the circular feild = 55 feet × 3.14
circumference of the circular feild = 172.7 feet.
Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.
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The diagram shows a square.
(6x - 1) cm
Find the length of the side of the square.
Your final answer must say, side = . . . cm
(4x + 6) cm
Cm=?
+
The length of the side of the square is given as follows:
20 cm.
How to obtain the side length of the square?In the figure, there are two expressions used to give the side length to each square, as follows:
6x - 1.4x + 6.In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:
6x - 1 = 4x + 6
2x = 7
x = 3.5 cm.
Then the side length of the square is obtained as follows:
6(3.5) - 1 = 20 cm.
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Is the slope of a linear demand curve positive or nega-
tive?
The slope of a linear demand curve is negative
The demand curve's negative slope indicates that there is an inverse link between price and demand.
It is true that the demand curve's negative slope indicates an inverse link between price and quantity desired. According to the demand curve, demand declines as prices increase and rises as prices decrease.
This statement is false since it only applies to Giffen products, where the demand curve has a positive slope and a direct correlation between price and quantity desired.
Because unit requests rise when prices decrease and decline when prices rise, the demand curve often slopes downward (i.e., is negative). Demand increases when prices are low, but demand decreases when prices are high.
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N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
Answer:
Step-by-step explanation:
Question
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
Please answer this word problem
Step-by-step explanation:
l=24in.+w
l=24in.+wwe know that the perimeter of a rectangle is given by formula
l=24in.+wwe know that the perimeter of a rectangle is given by formulaP=2(l+w)
l=24in.+wwe know that the perimeter of a rectangle is given by formulaP=2(l+w)180=2(l+w)
plugg in the value of l in the second equation.
\(180 = 2(24 + w) + 2w \\ 180 = 48 + 2w + 2w \\ 180 - 48 = 4w \\ 132 = 4w \\ \frac{4w}{4} = \frac{132}{4} \\ w = 33\)
\(l = 24 + 33 \\ l = 57\)
HOPE THIS HELPS
LAST OPTION IS THE ANSWER
How do I do this problem?
Answer:
Step-by-step explanation:
Red Graph: y = x^2 -4x - 5
Blue Graph: x = 2 Axis of symmetry
Points
x intercepts (-1,0),(5,0)
y intercepts: (0,-5)
vertex: (2,-9)
Note: it is just a matter of putting the function on the graph and than read what you are asked for. Between this part of the answer, and the graphs, you should be able to see what you are asked for.
6TH GRADE MATH SOMEONE PLEASE GIVE ANSWER TYSM
The surface area of the vase is 168.4 square inches.
What is a cylinder?
A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.
The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.
The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:
B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.
The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:
P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.
Now we can use the formula SA = B + Ph to find the surface area of the vase:
SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.
Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.
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Which fraction has a terminating decimal?
- 11/19
- 4/7
- 1/3
- 3/150
==========================================================
Explanation:
With the use of a calculator, we see that,
11/19 = 0.57894736842106...., the decimals eventually repeat; but unfortunately my calculator ran out of room to show the repeating portion4/7 = 0.5714285714285714..., the block "571428" repeats forever1/3 = 0.333333.... the 3s go on forever3/150 = 0.02So 3/150 converts to the terminating decimal 0.02
The word "terminate" means "stop". In the other decimal values, the decimal digits go on forever repeating the patterns mentioned.
----------------------
A non-calculator approach will have us simplify 3/150 into 1/50 after dividing both parts by the GCF 3. Then notice how 50 has the prime factorization of 2*5*5. The fact that the denominator 50 can be factored in terms of only 2's and 5's is enough evidence to conclude that the fraction converts to a terminating decimal.
If the denominator factors into some other primes, other than 2s and 5s, then we don't have a terminating decimal. So that's why 11/19, 4/7 and 1/3 convert to non-terminating decimals.
How many seconds equal 9 hours and 23 minutes?
w
563 seconds
1,380 seconds
33,780 seconds
12.420 seconds
Answer:
33780 seconds
Step-by-step explanation:
Answer:
33,780
Step-by-step explanation:
help me please reeeee
Answer:4/5 and 2 3/5
Step-by-step explanation:
Please help me i need help.
Answer:
5x+7 > 17 matches with 3.
1+3x > -5 matches with 2.
2x+1 < 3 matches with 1.
5-3x > 11 matches with 4.
Step-by-step explanation:
JUST THE SECOND ONE EASY PLS ASAP
Answer:
51
Step-by-step explanation:
Use an online calculator
Usually Jim walks at a speed of 5 miles/h and Jerry walks at a speed of 6 miles/h. If Jerry walked for 3 hours to climb a hill, how long will Jim take to climb the same hill?
Answer:
1.80 hours or 1 hour and 48 minutes
Step-by-step explanation:
Jerry = 3 miles every hour
Jerry took 3 hours to climb the hill.
It is safe to say that he traveled 3 miles every hour for 3 hours so he traveled 3 x 3 = 9 miles in all.
Jim walks at a speed of 5 miles an hour.
Question : How many hours would it take to travel 9 miles
9/5 = 1 4/5 of an hour
1 4/5 of an hour 1 hour 48 minutes
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
write and solve an inequality to find the possible values of x
The inequality that represents the value of x is (b) x > 80
Writing and solving the inequality for xfrom the question, we have the following parameters that can be used in our computation:
The figure
The general rule is that
The larger the side length, the larger the angle opposite it
using the above as a guide, we have the following:
1/8x > 10
So, we have
x > 80
Hence, the inequality is x > 80
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the base of a 50-foot ladder is being pulled away from a wall at a rate of 8 feet per second. how fast is the top of the ladder sliding down the wall at the instant when the base of the ladder is 30 feet from the wall?
The base of the ladder is 30 feet from the wall, the top of the ladder is sliding down the wall at a rate of 6 feet per second.
To determine how fast the top of the ladder is sliding down the wall when the base is 30 feet from the wall, we can use the Pythagorean theorem and implicit differentiation.
Step 1: Set up the Pythagorean theorem for the ladder, wall, and ground.
Let x be the distance between the base of the ladder and the wall, and let y be the height of the top of the ladder above the ground. Since the ladder has a length of 50 feet, we have:
\(x^2 + y^2 = 50^2\)
Step 2: Differentiate both sides of the equation with respect to time (t).
Using implicit differentiation, we get:
2x(dx/dt) + 2y(dy/dt) = 0
Step 3: Plug in the given values and solve for dy/dt.
We are given that dx/dt = 8 ft/s (the base is being pulled away from the wall) and x = 30 ft. To find y, plug x = 30 into the Pythagorean theorem equation:
\(30^2 + y^2 = 50^2
y^2 = 50^2 - 30^2\)
y = √(2500 - 900) = √1600 = 40
Now plug in the values of x, y, and dx/dt into the differentiated equation:
2(30)(8) + 2(40)(dy/dt) = 0
Step 4: Solve for dy/dt.
480 + 80(dy/dt) = 0
80(dy/dt) = -480
dy/dt = -480 / 80 = -6
So, when the base of the ladder is 30 feet from the wall, the top of the ladder is sliding down the wall at a rate of 6 feet per second.
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Hosting a dinner party for 38 people, you plan to serve peach pie for desert.
Each pie has 8 slices.
How many slices are in each pie?
Answer:
40 slices
Step-by-step explanation:
I rounded 38 to 40 and divided by 8
PLEASE HELPPP THANKS
Answer: The last option. X is greater than or equal to -3
Step-by-step explanation:
If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).
state the value of factorial 6 !
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ty! ._.
True or false - A risk ratio and an odds ratio are different names for the same concept
2. Name the property illustrated by this equation
-5 · 1 = -5
Answer:
Inverse Property (B)
Step-by-step explanation:
As we can see multiplication of 5 and 1/5 is 1. It is obtained by inverse property of multiplication because according to this if number multiply by its reciprocal is equal to one.
And we can say 1/5 is a reciprocal of 5
John put $3, 000 in his savings at 2% annually for 3 years. What did he earn in simple interest?
Answer:
End Balance: $5,160.00
Total Interest: $2,160.00
Step-by-step explanation:
Total Interest =$3000 × 2% × 3 × 12
=$2,160.00
End Balance =$3000 + $2,160.00
=$5,160.00
Answer:
can we get the options
Step-by-step explanation: