Using he formula of simple interest, the time it will take for a principal of $125 to grow to $1000 at a rate of 5.5% is 127.27 years
What is Simple InterestSimple interest is a method of calculating the interest charged on a loan or earned on an investment. It is based on the principle that interest is earned only on the original principal amount and not on any previously earned interest.
Simple interest can be calculated using the following formula:
Simple Interest = (Principal x Rate x Time) / 100
where:
Principal = the original amount of the loan or investment
Rate = the interest rate expressed as a decimal or percentage
Time = the length of time (in years or other time units) for which the interest is being calculated
In this problem, we can define our variables and substitute the values into the formula
S.I = P(1 + rt)
1000 = 125(1 + 0.05*t)
t = 127.27 years
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How can the product of 7 and 0.2 be determined using this number line? Enter your answers in the boxes.
Make__jumps that are each__unit long. You end at__, which is the product of 7 and 0.2.
Answer: Make 7 jumps that are each 0.2 units long. You end at 1.4, which is the product of 7 and 0.2.
A ribbon is 28 cm long. How long is the ribbon to the nearest inch? (1 inch = 2.54 cm)
and second question(other question not part of one up here)
A car travels 35 miles per hour. How many feet per hour is this? (Hint: 5280 feet = 1 mile)
The ribbon is 11 inches long while the car travels at 184800 feet per hour
What is an equation?An equation shows the relationship between numbers and variables in an expression.
1) A ribbon is 28 cm long
1 inch = 2.54 cm
Converting the ribbon length to inches:
28 cm = 28 cm * 1 in per 2.54 cm = 11 inches
The ribbon is 11 inches long
2) A car travels 35 miles per hour
5280 feet = 1 mile
Converting to feet per hour:
35 miles per hour = 35 miles per hour * 5280 feet per mile = 184800 feet per hour
The car travels at 184800 feet per hour
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3(3 + 6q) simplified
Answer:
9 + 18q
Step-by-step explanation:
You have to multiplied this polynomial expression in order to simplified it:
3(3 + 6q)
9 + 18q
Answer:
9+18q
Step-by-step explanation:
3[3+6q]
[3times 3]+[3times 6q]
that is how we arrive at the answer
9+18q
Simplify.
35(2v-5)5(v-4)³
30 (v-4)¹(2v-5)²
The solution is 175(2v-5)³(v-4)³³¹
Why do we simplify expressions?Learning how to simplify an expression is the most important step in understanding and mastering algebra. Simplification of expressions is a handy mathematics skill because it allows us to change complex or awkward expressions into simpler and compact formsmaths to reduce (an equation, fraction, etc) to a simpler form by cancellation of common factors, regrouping of terms in the same variable, etcYou can simplify a fraction if the numerator (top number) and denominator (bottom number) can both be divided by the same number. Six twelfths can be simplified to one half, or 1 over 2 because both numbers are divisible by 6.To learn more about simplify expressions refers to:
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I NEED HELP ASAP
PLSSS
The length of FM in the triangle is 2.8
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
FG is the congruent side of FM
FG=FM
The length of FG is 2.8
So 2.8=FM
Hence, the length of FM in the triangle is 2.8
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16. which best describes the rainfall trend between thirty and sixty degrees latitude? select rainfall decreases as latitude increases select your current choice: none of these select rainfall is approximately equal for these latitudes select rainfall increases as latitude increases
Rainfall decreases as latitude increases between thirty and sixty degrees latitude is the best description of the rainfall trend.
At thirty degrees latitude, the Intertropical Convergence Zone (ITCZ) is located, which is a band of low pressure that circles the Earth near the equator.
This zone experiences high precipitation due to the rising and falling of air masses caused by the warm equatorial waters. As we move away from the equator towards sixty degrees latitude, the ITCZ shifts northward and the land and sea temperatures decrease, resulting in less precipitation and less humidity.
This trend is known as the latitudinal rainfall gradient, which states that precipitation decreases as latitude increases. This can be observed in the subtropical regions such as the Mediterranean, the western United States, and the southern parts of Africa, among others.
Also, the trade winds blowing from east to west towards the equator, which are prevailing winds in the tropics, push the clouds and precipitation towards the equator, this is why the equatorial regions receive more rainfall than the regions located away from the equator.
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Someone answer thank you
The length of the segment SY is equivalent to 22.
What is centroid?The centroid of a triangle is formed when three medians of a triangle intersect. It is one of the four points of concurrencies of a triangle. The medians of a triangle are constructed when the vertices of a triangle are joined with the midpoint of the opposite sides of the triangle.Given is a triangle ΔTSU.
The medians are divided into a 2 : 1 ratio by the centroid. So, we can write that -
SY/YP = 2/1
SY/YP + 1 = 2/1 + 1
(SY + YP)/YP = 3/1
SP/YP = 3/1
(2x + 3)/11 = 3/1
2x + 3 = 3 x 11
2x + 3 = 33
2x = 30
x = 15
Now, SY = SP - YP = (2 x 15 + 3) - 11 = 33 - 11 = 22
SY = 22
Therefore, the length of the segment SY is equivalent to 22.
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A new type of light bulb uses only 23% as much power as an old light bulb. If the old light bulb used 60 Watts, how much power (in Watts) does the new bulb use?
Answer:
13.8 watts
Step-by-step explanation:
23% of 60 is 13.8
The sum of a quadratic term, a linear term, and a constant in descending order
ax^2 + bx + c* 5
-point-slope form
-standard form
-slope-intercept form
-vertex form
The descending order sum of a quadratic term, a linear term, and a constant are several ways to express a quadratic equation.
1. Regular format
2.Vertex shape
3. Detect type
4. Point-slope form
Let's examine the format of these forms.
1. Typical form:
When utilizing factoring or the quadratic formula to locate the equation's roots, this form works well.
[tex]y=ax^2+bx+5c[/tex]
2.Vertex shape
When attempting to determine the vertex (highest or lowest point) of a quadratic equation, this form works best.
y=a[tex](x+h)^2[/tex]+k
3.Intercept type:
y=a(x-p)(x-q)
4.Point-slope form
The usual form of a linear equation is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points.
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Suppose that quiz scores in a beginning statistics class have a mean of 7. 2 with a standard deviation of 0. 2. Using Chebyshev's Theorem, state the range in which at least 88. 9% of the data will reside. Please do not round your answers
The range in which at least 88.9% of the data will reside is (6.8,8).
mean=7.2
standard deviation=0.2
we find the range in which at least 88.9% of the data will reside
1-1/k²=0.889
⇒1/k²=1-0.889
⇒1/k²=0.111
⇒k²=1/0.111=9.009
⇒k=3.002
so, k=3
The range of values can be computed as mean±k(standard deviation).
Thus, the range in which at least 88.9% of the data will reside in
(mean-k(standard deviation), mean+ k(standard deviation))
(7.2-3(0.2),7.2+3(0.2))
=(7.2-0.6,7.2+0.6)
= (6.6, 7.8)
Thus, the range in which at least 88.9% of the data will reside is (6.8,8).
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I Need some help on 5 asap
The graph represents the relationship between the temperature and hours after sunrise. The slope shows the temperature changes per hour and the y-intercepts shows the temperature at the time of sunrise. The linear equation of this condition is y = 4x + 4.
From the graph, we can get some informations:
The temperature at the time of sunrise is 4 degrees celcius. This information is represented by the y-intercepts on 4 or point (0, 4). This is the initial temperature of the day.
Next, we will try to find the slope of the graph. We take 2 points:
(0, 4)
(1, 8)
Slope (m) = y₂ - y₁
x₂ - x₁
m = (8 - 4)
(1 - 0)
m = 4
However, as the hour goes by, the temperature increases by 4 degrees celcius. This information is known based on the slope of the graph. The slope represents the degree celcius of temperature change per hour.
Based on the found y-intercepts and slope, we can formulated the linear equation of the graph as:
y = 4x + 4
where:
y = temperature
x = hours after sunrise
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Mr. Thornton moves horses from one stable to another using a trailer. The trailer can
hold no more than four horses, and it can support no more than a total of 4500
pounds.
Mr. Thornton loads his trailer with three horses that weigh 890 pounds, 1250 pounds,
and 940 pounds. He wants to load a fourth horse in his trailer.
Using w to represent the weight of the fourth horse, write an inequality to express
how many pounds the fourth horse could weigh. Use a number line to show all the
possible solutions in this real-world situation.
Explain in detail how you determined the possible weights of the fourth horse.
The inequality is 3,080 + w <= 4500. and we have explained the possible weights of the fourth horse.
What is inequality?
Inequality is a mathematical statement that compares two values or expressions and shows the relationship between them. It is used to express that one value is either greater than, less than, greater than or equal to, or less than or equal to another value. Inequalities can be represented using symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), ≠ (not equal to).
We know that Mr. Thornton has already loaded three horses into his trailer with the following weights: 890 pounds, 1250 pounds, and 940 pounds. To load a fourth horse, we need to know the total weight of the trailer and the horses.
Total weight of the trailer = 890 + 1250 + 940 = 3,080 pounds
The trailer can support no more than 4500 pounds, so we need to make sure that the total weight of the trailer and the fourth horse does not exceed 4500 pounds.
Therefore, we can write the inequality:
3,080 + w <= 4500
This inequality tells us that the total weight of the trailer and the fourth horse (3,080 + w) must be less than or equal to 4500 pounds.
To graph the solutions of this inequality on a number line, we can start by plotting point 4500 on the number line. Since the inequality contains the "less than or equal to" sign, we need to shade everything to the left of 4500, including 4500.
The solutions to this inequality are all possible weights of the fourth horse that would not cause the total weight of the trailer and the horses to exceed 4500 pounds. The solutions are all real numbers between 0 and 420.
It's worth mentioning that the solution set is an interval [0,420] and it includes 0, but not 420. It means that the horse can weight 0 pounds (which is not possible) but it can't weight 420 pounds since it would exceed the maximum weight that the trailer can support.
Hence, the inequality is 3,080 + w <= 4500. and we have explained the possible weights of the fourth horse.
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Mumtaz chose two two-digit numbers and divided one by the other. His answer was 2. 12121212. Find the two numbers used by mumtaz
The two numbers used by mumtaz are 70 and 33
Let p and q be the two-digit numbers chosen by Mumtaz.
When these two two-digits number is divided one by the other, the answer was 2.1212...
Let us assume that r = p/q
and p/q = 2.1212...
we need to find the number r .
We know that a decimal number that consists of digits repeating after a fixed interval after the decimal point is a repeating decimal.
We can write a decimal number 2.1212... as [tex]2.\bar{12}[/tex]
[tex]r = 2.\bar{12}\\\\r=2+0.\bar{12}\\\\r=2+\frac{12}{99}\\\\r=\frac{70}{33}[/tex]
We can observe that 70/33 = 2.1212...
p/q = 70/33
So 70 and 33 are the required numbers.
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can somebody answer this question pls
The irregular polygon has an area of 39 square units.
How to determine the area of an irregular polygon
In this question we find the case of an irregular pentagon, that is a polygon with five sides with different lengths and five different central angles. The area of any polygon can be found by summing the areas of rectangles and right triangles. The area formulas for rectangles and right triangles are shown below:
Rectangle
A = w · l
Right triangle
A = 0.5 · w · l
Where:
w - Width, in units.l - Length, in units.A - Area, in square units.Now we proceed to determine the area of the irregular polygon:
A = 0.5 · 3 · 1 + 0.5 · 5 · 3 + 5 · 6
A = 1.5 + 7.5 + 30
A = 39
The area of the irregular polygon is equal to 39 square units.
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scott solves the equation when he checks his work he realizes that he made a mistake identify scotts error and find the correct solution
y-(-9)= -2 check: 7 (-9) = -2. 16= -2
y- (-9) + 9 = -2+9
y=7
Based on the given task content; Scott error was adding 9 to both sides of the equation and the correct solution is y = -11
How to correctly solve an equation?Scott solution:
y-(-9)= -2
check:
7 (-9) = -2.
16= -2
y- (-9) + 9 = -2+9
y=7
Correct solution:
y-(-9)= -2
y + 9 = -2
Subtract 9 from both sides
y = -2 - 9
y = -11
Check:
y-(-9)= -2
-11 - (-9) = -2
-11 + 9 = -2
-2 = -2
In conclusion, the solution to Scott's equation is y = 11
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To the nearest tenth of a second, how long after the pebble falls will it hit the ground? s.
The pebble will hit the ground 3.5 seconds after it has fallen. Using the principles of quadratic equations, this can be resolved.
A quadratic equation is what?
A quadratic equation makes up the second-degree equation. This suggests that at least one squared phrase is present in it. One of the most well-known equations to use when trying to solve a quadratic equation is ax2 + bx + c = 0, which uses constants or numerical coefficients for the variables a, b, and c. Here, the variable "x" is unknown.The principles of quadratic equations can be used to resolve the given issue.The height of an object after it deviates from the height h0 is represented by the function h(t) = - 4.9t2 + h0.Here, h0 equals 60 meters.
The quadratic equation is as follows:
h(t) = - 4.9t² + 60
When the pebble will hit the ground, then h(t) = 0
So the quadratic equation becomes:
0 = - 4.9t² + 60
or, 4.9t² = 60
or, t² = 12.24
or, t = 3.49 sec ≈ 3.5 sec
Therefore, after 3.5 seconds the pebble will hit the ground.
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For full question- refers to following image
Answer:
3.5
Step-by-step explanation:
on edge
HELP!
i need a quick answer
3(n + 1) = 5.4
3n + 3 = 5.4
3n = 5.4 - 3
3n = 2.4
n = 2.4/3
n = 0.8
B
Jaime decides to build an accessibility ramp to help students reach the top of a set of stairs. If BI is 24 ft and
AB is 9 ft, what is the measure of the angle of elevation?
The measure of elevation refers to angle of elevation. And the angle of elevation is: 68°
What is angle of elevation?The angle of elevation is generated by the intersection of the horizontal line and the line of sight. The angle created is an angle of elevation if such sight line is upward from the horizontal line. An angle having one arm above horizontal and one arm below it is referred to as an angle of elevation. An elevation angle typically ranges from 0° to 90°.
The altitude angle—also referred to as the "solar elevation angle"—describes how high the sun looks in the sky. The observer's position on a horizontal plane and an imaginary line from the sun to the observer are used to calculate the angle.
The problem forms a right triangle, and we know its hypotenuse and the horizontal leg. Using trigonometric reason we find the angle,
cosθ = 9/24
θ = cos⁻¹ (9/24)
θ = 67.97 ≈ 68°
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Four friends plan to meet at the top of the Eiffel Tower. Each arrives
about the time the tower opens and starts climbing the stairs to
the top. The graphs show the number of stairs each has climbed, s,
in the m minutes since the tower opened. Tell how many solutions
each system has. What does each solution mean in this context?
a.
b.
Stairs
600
400
200
0
0
S
Jayden
Elizabeth
m
10 20
Minutes After Open
5
Stairs
600
400
200
0
S
Robert
0
Mei
m
10 20
Minutes After Open
Weidman discovered the exact answer to the equation in the form of an exponential function that nearly resembles the geometry of the upper part of the tower.
What is the solution mean of Eiffel tower ?The Eiffel Tower's summit is where four pals intend to meet. Each person arrives about the time the tower opens and begins ascending to the top. The graphs display how many steps each person has ascended in the past m minutes since the tower opened. In honor of their achievements, the Eiffel Tower has 72 names of French mathematicians, engineers, and scientists inscribed on it.
Because he was concerned about the protests against the tower, Gustave Eiffel selected this "invocation of science." The Esplanade, the first floor, the second floor, and the summit of the Eiffel Tower are its many levels. While there are 1,665 stairs in the Tower from the ground to the top, only 674 can be climbed to reach the second floor (327, then 347 steps). From the second story, you cannot ascend the steps all the way to the top since it is unsafe for visitors to enter this area.
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The state of Colorado is 4 centimeters long and 2 centimeters wide on a map. A cartographer wants to use a scale factor of 3.5 to enlarge the map. What is the area of the enlarged map?
98 cm2
42 cm2
28 cm2
8 cm2
The area of the enlarged map of the state of Colorado, based on the scale factor of 3.5, is A. 98 cm².
What is a scale factor?The scale factor refers to the ratio or size by which the shape is enlarged or reduced.
When a shape is scaled down, the scale factor is used to divide the given size or dimensions of the object.
On the other hand, when a shape or object is scaled up, the scale factor multiplies the given size or dimensions to determine the new scale size.
Original dimensions:Length = 4 cm
Width = 2 cm
Area = 8 cm² (4 x 2)
Scale factor = 3.5
New dimensions:Length = 14 cm (4 x 3.5)
Width = 7 cm (2 x 3.5)
Area = 98 cm² (14 x 7)
Thus, the enlarged map's area is Option A. 98 cm².
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Answer: B: 42 cm2.
Step-by-step explanation:
Which of the following systems of linear inequalities has a solution 3 2?
The solution of this system of linear inequalities is (x,y) = (4,2).
The system of linear inequalities that has a solution 3 2 is given by the following equations:
x + 2y ≥ 3
2x + y ≤ 6
From the first equation, we can express y in terms of x:
y ≥ 3 - (1/2)x
Substituting this expression for y in the second equation, we get:
2x + (3 - (1/2)x) ≤ 6
Solving this equation for x, we get x = 4.
Substituting x = 4 in the expression for y, we get y = 2.
Therefore, the solution of this system of linear inequalities is (x,y) = (4,2).
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What is a general solution of a system?
A formula that yields all answers for various parameter values is referred to as a general solution of a system of linear equations.
Any collection of linear equations is known as a system of linear equations. Any common solution to a set of linear equations is known as a solution. If there is a solution, a system is said to be consistent. A formula that yields all answers for various parameter values is referred to as a general solution of a system of linear equations.
A set of values for the variables x, y, z, etc. that simultaneously satisfy every equation in a system of equations is known as the solution. The collection of all solutions is known as the solution set for a system of equations. Finding every answer using formulas containing a certain number of parameters is the definition of system solving.
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Moneka has 33 feet of ribbon to make 7 necklaces. How much ribbon goes to each necklace?
Answer:
5
Step-by-step explanation:
Yesterday the temperature at noon was 22.2°F. By midnight, it had decreased by 30.9°F. What was the temperature at midnight?
Answer:
-8.7 degrees
Step-by-step explanation:
22.2-30.9=-8.7
"Oh
Mark was trying to open his gym locker and forgot the combination
noll I need my gym clothes! He was in a panic. He remembered a
clue that he'd left himself to remember the combination, though. The combination to
his lock is based on the prime factors of 315. (HINT: prime factors = prime numbers
that are factors of that number).
Answer:
357
Step-by-step explanation:
Since the prime factors of 315 are 3, 5, 7.
Select the correct answer. What is the solution for x in the equation? -3x + 7x − 8 = 34 + 9x − 2 A. x=8 B. x=-8 C. x=-1/8 D. x=1/8
Answer:
X = 8
Step-by-step explanation:
1) -3x+7x-8=34+9x-2
2) -3+7x-9x=8+34-2
3) -5x=40
4) x= 40/-5= -8
Answer: I think A. x=8 ?
Step-by-step explanation: I hope this helps<3
Each month, a shopkeeper spends 5x + 17 dollars on rent and electricity. If she spends 3x -4 dollars on rent, how much does he spend on electricity? Use pencil and paper. For which value(s) of x is the amount the shopkeeper spends on electricity less than $100? Explain how you found the value(s).
Answer:
If 5x+17 is rent and electricity combined, and 3x-4 is just rent, then to find electricity, you need to subtract 3x-4 from 5x+17 to get just rent. (5x+17)-(3x-4) = 2x + 21. So he spends 2x +21 dollars on electricity. To find the value of x when the shopkeeper spends less than $100 on electrcity, make the equation for electricity equal 100. 100 = 2x +21, then solve for x. 79 = 2x. x = 39.5 All of the values of x would be under 39.5. x>39.5
Shaylynn has a square poster of a puppy on her bedroom wall. The width is one-third the length of the picture. If the width is 21 inches, write and solve an equation to determine the length. 3L = 21; L = 7 inches 3 + L = 21; L = 18 inches L − 3 = 21; L = 24 inches L over 3 equals 21; L = 63 inches
pls help im ina rush lol
An equation to determine the length would be L = 63 inches.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements
Given, The width is one-third the length of the picture and the width is 21 inches.
Assuming the length of the rectangle to be 'L'.
Therefore, An equation to determine the length would be,
(1/3)×L = 21.
L = 63.
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What is the range of the function #( x 3x2 6x 8?
The range of this function #( x 3x2 6x 8 is (-infinity(∞), infinity(∞)) .
What is function ?
function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Have given function ,
f(x) = #( x 3x2 6x 8
The range of a function is the set of all possible output values (y-values) for a given input (x-values). Since this is a polynomial function, it can take any value for y as long as we input real numbers for x.
Therefore, the range of this function #( x 3x2 6x 8 is (-infinity(∞), infinity(∞)).
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Can a triangle have 2 sides?
No, a triangle cannot have two sides.
A triangle is a three-sided polygon with three edges and three vertices in geometry. The total of a triangle's internal angles equals 180 degrees, which is its most important feature. This is known as the angle sum property of a triangle.
Triangle is a closed two-dimensional shape. It is a three-sided polygon. All sides are made of straight lines.
If ABC is a triangle, it is denoted as ABC, where A, B, and C are the triangle's vertices. In Euclidean geometry, a triangle is a two-dimensional shape represented by three non-collinear points in a single plane.
Thus, No, a triangle cannot have two sides.
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