Answer:
the interest that have to paid is $9,676.91
Step-by-step explanation:
The computation of the interest to be paid is as follows:
= Future value - initial value
= $10,200 × (1 + 0.21)^3.5 - $10,200
= $19,876.91 - $10,200
= $9,676.91
Hence, the interest that have to paid is $9,676.91
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Matthew and Andrew leave an intersection at
the same time. Matthew travels due east
at 30 mph and Andrew travels due south at
40 mph. If nothing causes either to stop for
any reason how far apart are they after
1 hour?
Please help I’ll give brainlyst if u are right
Answer:
Each of the domain values, x, should only output a single unique range value, y.
This example is a relation and not a function because the the domain value of -1 output 2 distinct range values.
-1 outputs a 3
and
-1 outputs a 5
If I were to draw a vertical line at the domain value of -1 that vertical line would intersect the points (-1,3) and (-1,5). Which indicates that the relation
Letter b is the right answer {(1, 2), (2, 6), (3, -2), (4, -6), because the first ordered pairs are not repeated.
a
c
Step-by-step explanation:
Evaluate the quantity 3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two.
twenty-seven twenty fifths
twenty-five twenty sevenths
59,049 over twenty-five
twenty-five over 59,049
The value of the expression given as [3² * 3⁻⁵]/[5⁻²] is 25/27
How to evaluate the expression?The expression is given as:
3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two
Rewrite properly as:
[3² * 3⁻⁵]/[5⁻²]
Apply the negative exponent law of indices
So, we have
[3² * 3⁻⁵]/[5⁻²] = [5²]/[3⁻² * 3⁵]
Apply the exponent law of indices
[3² * 3⁻⁵]/[5⁻²] = [5²]/[3³]
This gives
[3² * 3⁻⁵]/[5⁻²] = 25/27
Hence, the value of the expression given as [3² * 3⁻⁵]/[5⁻²] is 25/27
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Tape diagram pls help ( look at pic )
Answer:
x = 8
Step-by-step explanation:
Since there are 3 x's in the graphic, we have to think what times 3 is 24? The answer to that is 8!
The value of x in the diagram is 8.
How to find the value of x in the diagram?A tape diagram is a rectangular visual model that resembles a piece of tape, that is used to assist with the calculation of ratios and addition, subtraction, and commonly multiplication.
It is also known as a divided bar model, fraction strip, length model or strip diagram.
From the diagram, you will notice that:
x + x + x = 24
Add the three x:
3x = 24
Divide both sides by 3:
x = 24/3
x = 8
Thus, the value of x is 8.
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An 18-foot ladder is leaning against the side of a building forming a right triangle. The angle formed by the ladder and the ground is 60°. Which is closest to the distance, in feet, of the bottom of the ladder from the base of the wall?
Answer:
The distance is 9 feet
Step-by-step explanation:
18 is the length of the hypotenuse.
To find the length of the adjacent side, we take the hypotenuse multiplied by the cosine of the angle which is 60 degrees.
18*cos(60) = 9
what is the missing coefficient?
(15x^2+11y^2+8x)-(7x^2+5y^2+2x)=[blank]x^2+6y^2+6x
a. 4
b. 8
c. 10
d. 22
Answer:
b is the answer
Step-by-step explanation:
The missing coefficients of x² is 8.
What is an expression?An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. 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.
here, we have,
According to the question we have been given the expression which is :
(15x^2+11y^2+8x)-(7x^2+5y^2+2x)=[blank]x^2+6y^2+6x
In this we have to find the missing coefficient.
To find the missing coefficients we will solve the L.H.S that is
= (15x^2+11y^2+8x)-(7x^2+5y^2+2x)
First we will eliminate the brackets we get
15x^2+11y^2+8x-7x^2-5y^2-2x
Solving the coefficients of x² terms , y² terms and x terms we get
= 8x² + 6y² + 6x
Which is equal to the R.H.S
Combining both the equation we get the coefficient of the x² is 8.
Hence the missing coefficient is 8.
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I need the answer for my homework
Answer:
45 for 5 and 34 for 6.
Step-by-step explanation:
You are just subtracting by 11.
On average, Cody runs 4 miles in 38 minutes. How fast should he plan to run a 10-mile race if he maintains this pace?
A.1 hour 3 minutes
B.1 hour 16 minutes
C.1 hour 35 minutes
D.2 hours 30 minutes
Answer:
It will take him 1 hour 35 minutes to finish a 10 mile race
Answer is (C)
Cody runs 10-mile in 1 hour 35 minutes.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
Cody runs 4 miles in 38 minutes.
Now,
Since, Cody runs 4 miles in 38 minutes.
Hence, The time to run 10 miles = 38 × 10 / 4
= 380/4
= 95 minutes
= 1 hour 35 minutes
Thus, Cody runs 10-mile in 1 hour 35 minutes.
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Allen traveled for 7 hours at a constant rate of 40 miles per hour. Anna traveled the same distance at a constant rate of 50 miles per hour.
How long did it take Anna to travel the same distance as Allen?
Drag the steps in the correct order to solve the problem.
Here is the correct order of the step:
Identify: Anna's time is the unknown
Strategize : let x = Anna's time
Set up : 7(40) = x(50)
Solve: x = 5.6
Check: 7(40) = 5.6(50)
What is Anna's time?The first step is to determine the distance Allen travelled:
Distance = average speed x time
40 x 7 = 280 miles
The second step is to determine the time it took Anna to travel 280 miles.
Time = distance / average speed
280 / 50 = 5.6 hours
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System of equations - urgent please help ben is making a new Twitter account and has 72 followers on his first day. He averages 10 new followers each week after that. Sarah also started a Twitter account and has 100 followers on her first day and averages 3 new followers each week. After how many weeks will they have the same number of followers?
Answer:
4 weeks
Step-by-step explanation:
Step one:
ben has 72 followers on his first day.
He averages 10 new followers each week
let the number of weeks be x
and the total followers be y
y= 72+10x--------1
Sarah also started a Twitter account and
has 100 followers on her first day and averages
3 new followers each week
let the number of weeks be x
and the total followers be y
y= 100+3x--------2
Step two:
let us equate the two expression to get the number of weeks x
72+10x=100+3x
collect like terms
10x-3x=100-72
7x=28
divide both sides by 7
x=28/7
x= 4 weeks
A box is supposed to have 150 folders in it. Clare counts only 147 folders in
the box. What is the percent error? *
Answer:
it's a 0.02% error.
147/150= 0.98% of the folders are there, making the error 0.02%
Step-by-step explanation:
Help, please!
Which ordered pairs are solutions of 10x - 6y > -36 ? Select all that apply.
A. (-6, 3)
B. (0, 0)
C. (4, 2)
D. (-2, 6)
E. (6, -2)
Answer:
A,c,and d
Step-by-step explanation:
brainest plz
a norman window has the shape of a rectangle surmounted by a semicircle. if the perimeter of the window is 25 feet, express the area of the window as a function of the width (across the base) of the window.
The area of the window is [tex]\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}[/tex]
The shape of the Norman window is described as a rectangle surmounted by a semicircle.
Let 'x' be the width of the window.
Then this width corresponds to the diameter of the semicircle.
That is, radius of the semicircle = x/2
Now given the perimeter of the whole window = 25 ft
This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.
Perimeter of the semicircle = [tex]\frac{2\pi r}{2} = \frac{\pi x}{2}[/tex] , where r is the radius of the semicircle.
Now let 'y' be the length of the window.
Then sum of three sides of the window = 2y + x
So 2y + x + [tex]\frac{\pi x}{2}[/tex] = 25
Therefore, [tex]y =( 25 - x - \frac{\pi x}{2} ) / 2[/tex]
Area of the window = Area of the semicircle + Area of the rectangle =
[tex]\frac{\pi x^2}{8} +xy = \frac{\pi x^2}{8} + x( 25 - x - \frac{\pi x}{2} ) / 2\\ = \frac{\pi x^2}{8} + (25x - x^2 - \frac{\pi x^2}{2} ) / 2[/tex]
So Area of the window = [tex]\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}[/tex]
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Divide (6y2 + lly + 3) by (3y + 1).
A. 2y2 + 1
B. 2y2 + 3
C. 2y + 3
D. 2y + 1
Answer:
ether:
y= 1/3 = 0.333
OR
y= 3/2 = 1.500
what is the linear equation of a line that goes through (-8,4) and (6,-3)
Answer:
D
Step-by-step explanation:
Let's first find the slope.
y2-y1/x2-x1
-3-4/6--8
-7/14
-1/2
So it is D
24 * 5 is equal to 12 * ?
10
Step-by-step explanation:
24*5=12*10
120=120
I WILL GIVE BRAINLIEST TO FASTEST AND BEST ANSWER PLS HELp
Answer:
Unknown
Step-by-step explanation:
dskljgjfhgdiagljhbajfhglvibliahgviyglvaj
Answer:
The tax was too much for me
Step-by-step explanation:
Sorry, Im a noob
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sds
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zszx
A quadrilateral with no sides parallel and diagonals that are perpendicular
Options:
Quadrilateral
Kite
Trapezoid
Isosceles Trapezoid
Parallelogram
Rectangle
Rhombus
Square
======================================================
Explanation:
Of your original given list, let's write down the parallelograms. They are:
Parallelogram Rectangle Rhombus SquareSo we cross those off the list since we want a quadrilateral with no sides parallel. A parallelogram, by definition, is a quadrilateral with both pairs of opposite sides that are parallel.
We can also rule out the trapezoids because a trapezoid is a four sided figure (quadrilateral) where we have exactly 1 pair of parallel sides, while the other sides are not parallel.
Lastly, we can rule out the kite because any kite has perpendicular diagonals.
The only thing left is quadrilateral. In my opinion this answer should be more specific and say "quadrilateral that isn't a parallelogram, a trapezoid, or a kite", but I think I see what your teacher was going for here.
The line that passes through (2, 4) and (0, 8) can be expressed by which of the following
Answer:
The first one and the second one
Step-by-step explanation:
I hope that this helped
Please help
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 49 g to 56 g
Work Shown:
(49 g)/(56 g)
49/56
(7*7)/(7*8)
7/8
what is the slope of the line?
Answer:
[tex]m=\frac{-7}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-3, 4)
Point (1, -3)
Step 2: Find slope m
Substitute: [tex]m=\frac{-3-4}{1+3}[/tex]Subtract/Add: [tex]m=\frac{-7}{4}[/tex]Answer: -7/4 is the slope
Step-by-step explanation: find 2 points on the line and the go up seven and over four
what is the slope an y-intercept of the graph
Answer:
D)
Step-by-step explanation:
the slope is 4 and intercept is 2
Answer:
2/1
Step-by-step explanation:
It goes over to the right one, and up two.
(If it went to the left it would be negative)
Hope this helps!
-AxekickNebulite
Help me this is due 11:59pm
Step-by-step explanation:
Just count how many answers have at least two (HH)
In this case, it's 4.
The total outcomes are 8
4/8 can be reduced to
1/2
Therefore the probability the outcome has at least two heads is 1/2.
Answer:
[tex] \frac{1}{2} [/tex]
Brian pays £275.23 a year on his car insurance.
The insurance company increases the price by 2.6%.
How much does the insurance cost now?
Give your answer rounded to 2 DP.
PLEASE HELP ME ANSWER THIS QUESTION.
Answer:
5) yes, it's proportional
6) x = 5 (equivalent fraction)
7) x = 21 (equivalent fraction )
8) yes, it's proportional
hi i am in grade 11 my question is find the equation of the root -3 and 5
Answer:
x² -2x - 15 = 0
Step-by-step explanation:
(x+3)(x-5) = 0
x² -5x + 3x - 15 = 0
x² -2x - 15 = 0
a taxicab charges $1.75 for the flat fee and $0.25 for each mile. write an inequality to determine how many miles eddie can travel if he has $15 to spend.
Answer:
1.75 +0.25m ≤ 1553 milesStep-by-step explanation:
You want an inequality to determine how many miles eddie can travel if he has $15 to spend on a taxicab that charges $1.75 for the flat fee and $0.25 for each mile.
InequalityThe mileage charge is the per-mile charge ($0.25) multiplied by the number of miles (m). It will be $0.25m.
The total charge is the mileage charge plus the flat fee. Eddie wants that to be no greater than $15.
1.75 +0.25m ≤ 15
SolutionWe can solve this inequality in 2 steps.
0.25m = 13.25 . . . . . subtract 1.75
m = 53 . . . . . . . . . . . divide by 0.25 (or multiply by 4)
Eddie can travel 53 miles if he has $15 to spend.
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Which expression is equivalent to–4–9?
4 - 9
-4+ (-9)
-4 +9
4+9
Answer:
b
B -4+(-9
Step-by-step explanation:
because plus a negative number is just like subtracting i belive
Write each sentence as an equation. Eight less than 1/3 a number is n -13.
Answer:
Step-by-step explanation: Given that eight less than one-third of a number n is -13.
We are to find the value of n.
According to the given information, the equation for n can be written and solved as follows :
Thus, the required value of n is -15. I hope this really helps you(:
Answer:
[tex]\bold{\frac{n}{3} - 8 = - 13}[/tex]
and the solution is
[tex]\bold{n = -15}[/tex]
Step-by-step explanation:
I believe this sentence is mistyped
It should be Eight less than 1/3 a number n is -13
Analyze the word problem piece by piece not necessarily from the beginning of the sentence
The number is given as n in the sentence part boldfaced belowIf you wanted to solve this equation for n here's how to proceed
Add 8 to both sides to isolate the n termAlguien me ayuda porfavor