Answer:
$126Step-by-step explanation:
At a simple annual interest rate of 3%, the following formula might be used to determine the annual interest for a $4200 principal:
Interest is calculated as follows: Principal * Rate * Time
Where,
Capital = $4200
Rate = 3% (expressed as a decimal by dividing by 100) (expressed as a decimal by dividing by 100)
t = one year
When we enter the values, we obtain:
Interest is equal to $4200 multiplied by 0.03 times one.
Therefore, $126 would be the annual interest for a $4200 principal at a basic annual interest rate of 3%.
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The missing angle measures for the similar triangles are given as follows:
m<C = 83º.m < F = 22º.m < G = 75º.m < H = 83º.What are similar triangles?Similar triangles share these two features listed as follows:
Congruent angles, that is, angles that have the same measure.Proportional side lengths.The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle C is obtained as follows:
m < C + 22 + 75 = 180
m < C = 180 - 97
m < C = 83º.
The equivalent vertices on the similar triangles share the same angle measures, hence:
m < F = m < A = 22º.m < G = m < B = 75º.m < H = m < C = 83º.More can be learned about similar triangles at brainly.com/question/11920446
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how do you write 9.3E6 in standard form?
in general, we pay less in interest when the apr is higher. True or False?
The circle below has center K, and its radius is 7 yd. Given that m LKM = 60°, find the length of the major arc LNM
on solving the provided question we can say that length of the major arc angle is [tex](29/6)\pi or 4.83\pi[/tex].
what are angles?In Euclidean geometry, an angle is a shape that is made up of two rays, known as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays may combine to form an angle in the plane where they are positioned. When two planes collide, an angle is also created. These are referred to as dihedral angles. An angle in plane geometry is the possible configuration of two rays or lines that share a termination. The origin of the English term "angle" is the Latin word "angulus," which meaning "horn." The vertex is the point where the two rays, also known as the sides of the angle, converge.
circle with center K has an arc with a radius = 3 yards
angle subtended at the center = 70 degrees.
Angle = 360 - 70 = 290
Length of arc = (∅/360) x 2πr
Angle = 290,
r = 3,
Length of arc
[tex]= (290/360) X 2 X\pi X 3\\= (29/36) X 6\pi \\= (29 X \pi X 6)/36\\= 29\pi /6[/tex]
= (29/6)π or 4.83π
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(6.) The population of a city in thousands is modeled by the function f()=250 (1.01)
where is the number of years after 1950. Which of the following are predicted by
the model? Select all that apply.
A. The population in 1950 was 250,
B. The population in 1950 was 250,000,
C. The population grows by 1 percent each year.
D. The population in 1951 was 275,000.
E. The population grows exponentially,
(From Unit 4, Lesson 2.)
The population size in 1951 can be predicted to be : 2,551,970,500
What is population?Population is the term typically used to refer to the number of people in a single area. Governments conduct a census to quantify the size of a resident population within a given jurisdiction.
here, we have,
Applying Malthus's population projection
P = P₁ ( 1 + r ) n ----- ( 1 )
where :
P ( projected population ) = ?
P₁ ( Recent population ) = 2,515,000,000
r ( intrinsic rate ) = 1.47 %
n ( number of years ) = 1
Given that the population grows exponentially
P = 2,515,000,000 ( 1 + 0.0147 ) * 1
= 2,551,970,500.
Hence we can conclude that The population size in 1951 can be predicted to be 2,551,970,500
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Part 1
Mr.Curry has 264 pictures on 4 shelves in his house. He has the same number of pictures on each shelf. To find the number of pictures on each shelf, he divided 264 by 4. How many tens did he regroup as ones? How many pictures are on each shelf?
Question content area bottom
Part 1
Mr.Curry regrouped
enter your response here tens as
enter your response here ones.
If Mr.Curry has 264 pictures on 4 shelves in his house.
The number of tens did he regroup as ones is: 2 tens.The number of pictures that are on each shelf is 66 picturesHow to find the number of tens he regroup as ones is: 2 tens.The number of pictures on each shelf can be found by dividing the total number of pictures by the number of shelves:
264 ÷ 4 = 66
So, there are 66 pictures on each shelf.
To find the number of tens Mr. Curry regrouped as ones, we can use long division to see the process of dividing 264 by 4.
When dividing 264 by 4, the first step is to divide 2 by 4, which gives a quotient of 0 with a remainder of 2. Then, you bring down the next digit (6), and form the number 26. Dividing 26 by 4 gives a quotient of 6 with a remainder of 2. Finally, you bring down the last digit (4), and form the number 264. Dividing 264 by 4 gives a quotient of 66 with no remainder.
Therefore, Mr. Curry regrouped 2 tens as ones (or 20 as 10 + 10), which is the same as regrouping 20 ÷ 10 = 2 tens as ones.
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From his position seated on the ground, Juan looks up at an angle of 35 degrees to the top of a flag pole that is 12 feet away. How tall is the flag pole? Equation: (Choose One) A. tan35 = B. tan35 = C. tan12 = x 12 12 x x 35 35 D. tan12 =- X A t
The equation for how tall the flag pole is h = 12sin(35)
How to determine the equation for how tall the flag pole is?From the question, we have the following parameters that can be used in our computation:
Angle = 35 degrees
Distance = 12 feet
Using the above as a guide, we have the following:
sin(angle) = height/distance
So, we have
sin(35) = h/12
This gives
h = 12sin(35)
Hence, the equation is h = 12sin(35)
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A rectangular prism measures 1 2/3 inches by 2 1/3 inches by 3 inches. How many cubes with edge length 1/3 inch fit in the prism?
Amir invests £785 for n years into a savings account.
Amir was paid 1.5% per annum compound interest.
At the end of the n years Amir had £1105.58 in the savings account.
Work out the value of n.
on=
Submit Answer
years
The number of years for the speculation to reach from £785 to £1,105.58 will be 23 years.
What is compound interest?Let 'A' is the amount, 'P' is the initial amount, 'r' is the rate of interest, and 'n' is the number of years.
Then the compound interest is written as,
A = P(1 + r)ⁿ
Then the equation is given as,
£1,105.58 = £785 × (1 + 0.015)ⁿ
1.40838 = (1.015)ⁿ
n log 1.015 = log 1.40838
n = 23 years
The number of years for the speculation to reach from £785 to £1,105.58 will be 23 years.
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Tina's 4 Kids ^drink 2 cups of Juice per day. In a 30-day month, how many gallers, will Tina's Ken Kids drink? AA = 8 cups each day in a
Answer:240
Step-by-step explanation:
8x30=240
Answer:
240
Step-by-step explanation:
30x2x8 so that is your answer
Would anyone understand this?
Stuart has enough money to buy 4 kg of onions.
How do we calculate?we must first find the cost of 4 kg of onions.
We know that 2.5 kg of onions and 2 kg of carrots cost £2.36.
The cost of 15 2.5 kg of onions is 15 × 2.5 = 37.5 kg of onions.
The cost of 1 kg of onions is 2.36 ÷ 37.5 = 0.06293 = £0.063.
3 kg of carrots cost £1.74. and we need to find how much 1kg of carrots cost.
Therefore, the cost of 1 kg of carrots is 1.74 ÷ 3 = 0.58 = £0.58.
Now we can use the above information to find the cost of 4 kg of onions:
The cost of 1 kg of onions is £0.063.
Hence, the cost of 4 kg of onions is 4 × 0.063 = £0.252.
We then can say since Stuart has £2, and we have found that the cost of 4 kg of onions is £0.252. Stuart has enough money to buy 4 kg of onions.
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Mrs. Smith asked her students to write a situation that could describe the relationship between all of the values of x and y in the table.
X 0 1 2 3
Y 8 9 10 11
Which situation best describes the relationship between all the values of x and y in the table?
A. Danee had eight dance classes per week.
B. Yolanda had eight books and bought one new book each week.
C. Lincoln started with zero stamps in his collection for the first 8 months and then started to collect one stamp per month.
D. Gavin caught one fish in the first minute of fishing and eight fish each minute after.
The solution is Option B.
The equation of line is y = x + 8 , where the slope is m = 1
Yolanda had eight books and bought one new book each week
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P (
Let the second point be Q (
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we getWhat is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 0 , 8 )
Let the second point be Q ( 1 , 9 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 9 - 8 ) / ( 1 - 0 )
Slope m = 1
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 8 = 1 ( x - 0 )
On simplifying the equation , we get
y - 8 = x
Adding 8 on both sides of the equation , we get
y = x + 8
Hence , the equation of line is y = x + 8
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Answer: B
Step-by-step explanation:
For which intervals is the function increasing? Select each correct answer.
(2, ∞)
(1, 2)
(0, 1)
(-∞, 0)
Answer:
i think the answer may be (2,infinity)
(1, 2) and (-∞, 0)
===========================================================
Explanation:
The function curve is increasing when going uphill as you move to the right. This happens on the interval (-∞, 0) aka -∞ < x < 0 aka x < 0. This is why choice D is one of the answers.
The function is also increasing when 1 < x < 2 which translates to the interval notation (1,2). This is why choice B is the other answer.
Choices A and C are eliminated since they describe decreasing intervals.
The measure of angle is less than times its complement. What is the measure of the complement of angle ?.
The measure of the complement of angle is 45 degrees.
Let's call the measure of the angle "x". The complement of the angle is defined as 90 degrees minus the measure of the angle, so the complement of the angle is 90 - x.
If the measure of the angle is less than its complement, then we can write the following inequality:
x < 90 - x
Now we can isolate x by subtracting x from both sides:
0 < 90 - 2x
And then dividing both sides by -2:
0 > -45 + x
Finally, subtracting x from both sides:
-x > -45
So, we have:
x < 45
So, the complement of the angle is 90 - x, which is greater than 90 - 45 = 45 degrees.
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In ΔXYZ, ∠X=81° and ∠Y=22°. ∠XWZ=90° and XY=180. Find the length of XW to the nearest integer.
The value of XW is 11
How to solve for thisXW = ZW/tan 81
= 0.158 ZW
We should recall that tan 81 = ZW/XW
WY = ZW/tan22
= 2.475ZW
We should recall that tan 22 = ZW/WY
XW = 0.158/0.158 + 2.475 + XY
= 0.158/2.633 x 180
= 11
Therefore, the value of XW is 11
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Find the height of a triangle that has a base of 5/4 and an area of 10 sq cm?
Answer:
Height = 16
Step-by-step explanation:
Area = (Base * Height) / 2
Height = (2 * Area) / Base
Height = (2 * 10) / (5/4)
Height = (2 * 10) / (5/4) * (4/4)
Height = (2 * 10 * 4) / 5
Height = (80 / 5)
Height = 16
Tricia needs to bring cookies and fruit to her class of 16 students. There will be a total of 48 items, including 1 piece of fruit for each student.
Using arithmetic equation, each students gets 2 cookies and 1 fruit.
What is arithmetic equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. That will be regarded as a phrase.
Given that, Total number of students are 16
total cookies and fruit are 48 items including 1 piece of fruit for each student
let each student get x cookies
16x + 16 = 48
subtract 16 from both side we get
16x = 48-16
16x = 32
both side divided by 16 we get
x = 32/16
x = 2
So that, each students gets 2 cookies and 1 fruit.
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(3 x 4) ÷ 6 + 3² = [?]
Answer: 11
Step-by-step explanation:
We need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction), to simplify the expression:
1: First, we solve the exponent 3², which is 3 multiplied by itself, or 3 x 3 = 9.
2: So, the expression now becomes: (3 x 4) ÷ 6 + 9
3: Next, we solve the multiplication, which is 3 x 4 = 12.
4: So, the expression becomes: 12 ÷ 6 + 9
5: Then, we solve the division, which is 12 ÷ 6 = 2.
6: So, the expression becomes: 2 + 9
7: Finally, we solve the addition, which is 2 + 9 = 11.
What would have a greater effect on the volume of a cone: doubling
its radius or doubling its height? Explain?
The formula for the volume of a cone, V = (1/3)·π·r²·h, indicates that doubling the radius, quadruples the volume while doubling the height doubles the volume. Therefore;
Doubling the volume has a greater effect on the volume of a coneWhat is a circular cone?A cone is a three dimensional figure formed by lines that extend between a point and the circumference of the circular base, where the point is located on the a line perpendicular to and passing through the center of the circular base.
The formula for the volume of a cone is; V = (1/3) × π × r² × h
Where;
V = The volume of the cone
r = The radius of the cone
h = The height of the cone
Therefore;
When the radius is doubled, we get;
V₁ = (1/3) × π × (2·r)² × h = (1/3) × π × 4 × r² × h = 4 × (1/3) × π × r² × h
Therefore; V₁ = 4 × (1/3) × π × r² × h = 4·VWhen the radius of the cone is doubled, the volume of the cone increases 4 times the initial volume
When the height of the cone is doubled, we get;
V₂ = (1/3) × π × r² × 2·h = 2 × (1/3) × π × r² × h = 2·V
V₂ = 2·VWhen the height of the cone is doubled, the volume of the cone is doubled.
Therefore, doubling the radius of the cone which increases the volume to four times the initial volume has the greater effect on the volume of the cone than doubling the height which doubles the volume of the cone.
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An international company has 12,700 employees in one country if this represents 18.7% of the company's employees how many employees does it have in total?
Round yiur answer to the nearest whole number
Answer:
67,914
Step-by-step explanation:
Let x = total employees.
18.7% of x = 12,700
0.187x = 12,700
x = [tex]\frac{12700}{0.187}[/tex] = 67914.438 → 67,914
a stainless patio heater is a square pyramid. the lenght of one side of the base is 21.6 in. the slant height of the pyramid is 91.3 in. what is the height of the pyramid
The height of the pyramid given by the Pythagoras theorem will be 90.66 inches.
What is Geometry?One of the first areas of mathematics is geometry, along with maths. It is preoccupied with spatial characteristics including the separation, form, size, and relative placement of objects. A geometer is a mathematician who specializes in shape.
A square pyramid-shaped steel patio heater. One of the base's sides is 21.6 inches in length. The pyramid's slant height is 91.3 inches.
The height of the pyramid is perpendicular to the base of the pyramid. Then the height is given as,
(91.3)² = h² + (21.6 / 2)²
8,335.69 = h² + 116.64
h² = 8,219.05
h = 90.66 inches
The height of the pyramid given by the Pythagoras theorem will be 90.66 inches.
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The question is in the picture.
The angles in the quadrilateral are as follows;
x = 77°
y = 103 degrees
z = 52 degrees
How to find angles in a quadrilateral?The diagram above is a quadrilateral. The angles x, y and z can be found as follows:
x + 103 = 180(sum of angles on a straight line)
x = 180 - 103
x = 77 degrees
Therefore,
y = 103 degree(vertically opposite angles)
Vertically opposite angles are congruent.
The sum of angles in a triangle is 180 degrees.
Therefore,
103 + 25 + z = 180
z = 180 - 128
z = 52 degrees.
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The weights of three children are in the properation 6:5:4 If the weight of the smallest chill is 25 Kg. find the weights of the other 2 Children.
The weight of the other children are 37.5 kg and 31.25 kg
How to calculate the weight of the other children?
The weight of the three children are 6:5:4
6x, 5x and 4x
The weight of the smallest child is 4x
4x= 25
x= 6.25
The weight of the other two children can be calculated as follows
6(6.25)
= 37.5
5(6.25)
= 31.25
Hence the weight of the other two children are 37.5 kg and 31.25 kg
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Which value of a would make a-5>-1 true?
A,2
b.-2
c. 3
d. 6
Answer:
d. 6
Step-by-step explanation:
Given, a-5> -1
Both sides add 5, and we get
a > 4
So a is 6.
The grade of a highway up a hill is 26%, How much change in horizontal distance is there if the vertical height of the hill is 600 feet? Express the answer to the nearest foot.
The grade of a highway up a hill is 26%, therefore the amount of change in horizontal distance if the vertical height of the hill is 600 feet is 2307ft.
What is Distance?
This is referred to as the numerical or occasionally qualitative measurement of how far apart objects or points are.
First, express the grade as a decimal.
26% → 0.26
Grade = (change in vertical height) / (change in horizontal distance)
0.26 = (600 ft) / x
x = (600 ft) / 0.26 = 2307 ft
That is the change in horizontal distance.
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Select the subtraction problem represented by the fraction model.
The subtraction problem represented by the fraction model is given above.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Given is a figure as shown in the image.
We can write the fractional problem as -
" A rectangle is divided into eight equal rectangles. Smith colored six of these rectangles. How much percentage fraction of the image is colored."
Therefore, the subtraction problem represented by the fraction model is given above.
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This is the net of
triangular prism. To calculate the lateral surface area, you
should add the areas of which sides?
O A. A and D
• B. A, B, C, D, and E
• C. B, C, and E
O D. A, D, and E
To calculate the lateral surface area, you should add the areas of C. B, C, and E
What is a Triangular Prism?A three-sided polyhedron consisting of a triangle base, a translated copy, and three faces connecting equivalent sides is known as a triangular prism in geometry.
If the sides of a right triangular prism are not rectangular, the prism is oblique.
We know that
The lateral area for a triangular prism is the sum of the areas of its side faces (which are 3 rectangles).,
From the given images, the side faces are B, C and E which is option C.
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hp me with this now.. psl
answer :
a. Multiply each side of the equation by x(x+5)
(so you can have 1 denominator)
b. square each side (to get rid of the square root sign on the left side
c. Raise each side of the equation to the power 2/5
(its helps get rid of ^5/2 in (x+5)^5/2 & on the right side of the equal sign 2 is 5th root of 32)
d. Let u=(x+5)^1/3 and u² = (x+5)^2/3
(u is usually used when x has big exponent &
needs to be factored so it looks like
u^2 - u - 2 = 0 which is easier to factor.
after factoring you can bring back the original
(x+5)^2/3 & (x+5)^1/3 )
e. Cube each side of the equation
(cube root is the same on the left & right side of the equal sign so you can take it out)
Helppppppppppp meeee pleaseee
I don’t have an answer for number one but
2) Angle I = 59. From lowest to greatest it goes G,I,H
Answer:
Problem 1
From smallest to largest:
∠y , ∠w, ∠x
Problem 2
m∠I = 39°
Sides from shortest to longest
GH, HI, GI
Step-by-step explanation:
For question 1
The ratios of the sides of a triangle to the sine of the angle opposite them is the same
That means the ratios of the sides to each other is the same as the ratio of the sines of the angles opposite them
Since the sine of an angle increases with increasing angle value, the longest side will opposite the greatest angle measurement and the smallest length will be opposite the smallest angle measurement
So in order from smallest to largest
m∠y < m∠w < m∠x
For question 2
Since three angles of a triangle add up to 180°
Missing angle = 180 - (83 + 58)
= 180 - 141
= 39°
From shortest to longest it would be
Side GH < side HI < side GI
Use the expression (10p+10)+(8p−1)
Simplify using properties of operations and then factor the expression using the GCF.
factored and simplified
answer :
9(2p+1)
steps
(10p+10)+(8p−1)
18p+9
9(2p+1)
chatgpt