Answer:
$9629.63
Step-by-step explanation:
I assume this is simple interest.
The formula for simple interest is
F = P(rt + 1)
where F = future value,
P = present value
r = annual interest rate
t = number of years
10,400 = P(0.02 × 4 + 1)
10,400 = 1.08P
10,400/1.08 = P
9,629.63 = P
Answer: $9629.63
The coordinates of the vertices of a quadrilateral are (8, 11) (11, 7) (8, 3) (2, 3). What is the area, in square units, of the quadrilateral?
Check the picture below.
so the quadrilateral is really just a parallelogram below a triangle, so let's simply get the area of each and sum them up.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{parallelogram}{(6)(4)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(6)(4)}}\implies 24~~ + ~~12\implies 36[/tex]
Pls pls pls help. I’ll give Brainliest!!
A certain shade of blue paint is made by mixing 1/2 of a quart of blue paint with 1/8 of a quart of white paint.
How much white paint would you need to mix with 2 2/3 quarts of blue paint to make the same shade of paint?
Explain the error.
Calculate the correct solution.
Answer:
Step-by-step explanation:
2 2/9? maybe because 1/8 is 6 times bigger than 1/2, so if you add 6 to 2 2/3 it would be 2 2/9?
You would need 1/4 white paint to mix with 2 2/3 quarts of blue paint to make the same shade of paint.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
The amounts of each type of paint as fractions of the total amount of paint: 1/2 quart of blue paint is 1/(1+1/2) = 2/4 = 1/2 of the total amount of paint, and 1/8 quart of white paint is 1/(1+1/2+1/8) = 1/8 of the total amount of paint.
So the ratio of blue paint to white paint in the original mixture is 1/2 to 1/8, or 4 to 1. To make the same shade of paint with 2 2/3 quarts of blue paint, we need to use the same ratio of blue paint to white paint.
So we need 1/4 as much white paint as blue paint, which is (1/4) × 2 2/3 quarts = 2/3 quart of white paint.
The error in the original solution was not correctly finding the ratio of blue paint to white paint in the original mixture, which is necessary to determine the correct amount of white paint to mix with a different amount of blue paint to create the same shade.
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Sean is building nesting boxes for their Etsy store. The smallest box is a cube, 10 cm on a side. It fits entirely inside a larger cubic box that is 15.0 cm on a side (50% larger). If each box has dimensions that are 50% larger than the one before then what is the total maximum number of nesting boxes Sean can build that will fit inside a shipping carton that has a cube-shaped interior, 1 m (100 cm) on a side?
Answer:
19
Step-by-step explanation:
I don't really have explanation but imagine putting boxes into boxes that are always a little bigger(+5 cm)
so you go from the smallest one 10cm and gradually keep adding 5cm until you reach 100cm.
10,15,20,25,30,........,100
(4, 2) reflected over y axis
Hexa- is a prefix meaning __________.
four
six
height
five
three
Answer:
Hexa is a prefix meaning six.
Step-by-step explanation:
An example of this would be a hexagon, it has six sides, and the word of course has the prefix, "hexa."
Two choices greater than 3/5
Answer:
39/50 is larger than 3/5.
Step-by-step explanation:
2/3 is larger than 3/5.
Solve for x in 2•8 X 867•5x
Step-by-step explanation:
867.5x ×2.8
is is equal to 2429x
(y−2)=3(x−1) whats the slope
Answer:
the slope is 3
You want to know the opinions of homo-schooled students across America on whether they prefer to loarn at home versus at a public school with other students. You obtain a list of all home-schooled students and mail a survey to a random sample of 7,500 students. Of those, 4,195 responded and 39% say they prefer to learn at home. Which of the
following statements is true?
The results of this survey may be affected by nonresponse blas.
The results of this survey cannot be trusted because of convenience response bias.
O Bocauso random sampling is used, wo can fool confident that the porcont of all homo-schooled students who say they favor learning at home is close to 39%.
O Because more than half of those who were mailed the survey actually responded, va can feel fairly confident that the actual percentage of all home-schooled
students who prefer to learn at homo is close to 39%.
In this survey, the results can be trusted because more than half of the people responded which makes this sample to be representative.
What is nonresponse bias?This occurs when most of the people who were intended to be surveyed do not respond, which causes the results to be biased as the sample does not represent the population.
Can the results of this survey be trusted?Considering more than 50% answer it is likely the results can be trusted as the sample is still representative.
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Which is an x-intercept of the graphed function? (0,4) (-1,0) (4,0) (0,-1)
The x-intercept of the graphed function is (-1,0)
How to determine the x-intercept of the graphed function?The x-intercept of the graphed function is the point where the function has a value of 0
i.e. the x value when y = 0
From the complete question, we have:
x = -1 when y = 0
Hence, the x-intercept of the graphed function is (-1,0)
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The circumference of a circle is 25 pi cm . what is the area, in square centimeters? express your answer in terms of pi .
The area of the circle is the amount of space it occupies, and the area of the circle is 156.25π
How to determine the area?The circumference, C is given as:
C = 25π
Start by calculating the radius using:
C = 2πr
So, we have:
2πr = 25π
Solve for r
r = 12.5
The area is then calculated using:
A = πr²
So, we have:
A = π * 12.5²
Evaluate
A = 156.25π
Hence, the area of the circle is 156.25π
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(2 + 3i) + (3 – 4i)
(3 – 5i) – (–2 – i)
(2 − 4i)(1+ 3i)
2i(−1+ 3i)
Answer:
See below ~
Step-by-step explanation:
Question 1
(2 + 3i) + (3 - 4i)5 - iQuestion 2
(3 – 5i) – (–2 – i)3 - 5i + 2 + i5 - 4iQuestion 3
(2 − 4i)(1+ 3i)2 - 4i + 6i - 12i²14 + 2iQuestion 4
2i(-1 + 3i)-2i + 6i²-6 - 2iIn circle O below, segment RA is a diameter, arc RP = 104 degrees, and arc RQ = 70 degrees. Find the
measure of the indicated angle
m<=5
Answer:
76°
Step-by-step explanation:
Arc RP = 104
Major arc RPA = 180 (half a circle)
180-104 = 76
Arc AP = 76, so Angle 5 = 76
Central Angles and their arcs are equal
Answer:
76°
Step-by-step explanation:
Finding m∠4 :
The angle is equal to arc RP∠4 = ° 104Finding m∠5 :
∠4 + ∠5 = 180° (property of linear angles)∠5 = 180° - 104°∠5 = 76°HELP ME PLEASE FAST I REALLY NEED THIS DONE NOW
Answer:
Step-by-step explanation:
What is the coefficient in the mathematical expression?
- 7
point 2 1/3 is on the right of 2 plus 2 small marks
point -5/6 is on the right of -1 plus 1 small mark
point -3 1/2 is on the left of -3 plus 1 small mark
sorry I don't know how to draw a number line on brainly
Answer:
- for the number line check out the attached photo
- 7
Step-by-step explanation:
- on the number line, each small mark represents 1/6 so to make it easier I made the fraction into 1/6 form
- a coefficent is a numerical value placed before and multiplying the variable in an algebraic expression (ex. 4x)
In this case 7 is before the m making 7 the coefficent
Hope this helps, Let me know if you have any other questions !
A square field has an area 625cm. Find the length of one of side.
Answer: 25cm
Step-by-step explanation:
Since the field is square we can understand each side is an equal length
This means we just have to use the formula...
[tex]A^2 = 625[/tex]
[tex]\sqrt{a^2} = \sqrt{625}[/tex]
a = ±25
Since it is a real thing, we are only looking at positive values, therefore your answer is
25cm
A teacher needs to find out how many seventh-grade students will be going on a field trip. Which best describes the population that the teacher should survey?
the parents of all the students in the school
the parents of the seventh-grade students
each teacher in the school
each student in the schoo
Answer:
The parents of the seventh grade students
can i have some help rn?
Answer:
[tex]\textsf{a)} \quad y=(x+1)^2-4[/tex]
[tex]\textsf{b)} \quad y=2(x-4)^2-2[/tex]
Step-by-step explanation:
Vertex form of a parabola: [tex]y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex and [tex]a[/tex] is some constant)
Part aVertex = (-1, -4)Point on parabola = (1, 0)Substitute the vertex into the formula:
[tex]\begin{aligned}\implies y &=a(x-(-1))^2-4\\y & =a(x+1)^2-4\end{aligned}[/tex]
Substitute the point (1, 0) into the formula:
[tex]\begin{aligned}\implies a(1+1)^2-4&=0\\4a-4&=0\\4a &=4\\a &=1\end{aligned}[/tex]
Therefore, the equation of the parabola in vertex form is:
[tex]y=(x+1)^2-4[/tex]
Part bVertex = (4, -2)Point on parabola = (6, 6)Substitute the vertex into the formula:
[tex]\begin{aligned}\implies y &=a(x-4)^2+(-2)\\y & =a(x-4)^2-2\end{aligned}[/tex]
Substitute the point (6, 6) into the formula:
[tex]\begin{aligned}\implies a(6-4)^2-2&=6\\4a-2 & =6\\4a &=8\\a &=2\end{aligned}[/tex]
Therefore, the equation of the parabola in vertex form is:
[tex]y=2(x-4)^2-2[/tex]
Find a
a(x-h)²+k=ya(1+1)²-4=04a-4=04a=4a=1So
Vertex form
y=(x+1)²-4#2
(h,k)=(4,-2)passes through (6,6)Find a
a(6-4)²-2=64a=8a=2Vertex form
y=2(x-4)²-2the universal set U, is given as; U={whole numbers from 1 to 12} H is a subset of U such that H = { odd numbers between 4 and 12} list the elements of set H
Step-by-step explanation:
odd numbers cannot be divided by 2 without remainder.
so, H is
{5, 7, 9, 11}
Final Amount 15,400
Investment 12,000
Interest Rate ?
Years 3
whats interest rate
Answer:
How do I calculate interest rate on investment?
Calculate Total Amount Accrued (Principal + Interest), solve for A. A = P(1 + rt)
Calculate Principal Amount, solve for P. P = A / (1 + rt)
Calculate rate of interest in decimal, solve for r. r = (1/t)(A/P - 1)
Calculate rate of interest in percent. ...
Calculate time, solve for t.
Step-by-step explanation:
Hope this helps.
find the mean and median of 1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5
Answer:
Mean - 3.3793103448276
Median - 3
Step-by-step explanation:
Define:
Mean ⇒ Average
Median ⇒ Middle Number
Solve:
Mean ( Adding all number then divide by total number in data set)
1 + 1 + 2+2+2+2+3+3+3+3+3+3+3+3+3+4+4+4+4+4+4+4+4+5+5+5+5+5=94
94/29 = 3.3793103448276
Mean - 3.3793103448276
Median ( Find Middle Number)
1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5
Kavinsky
Are you able to help me: Simplify (4x + 2)3
Answer:
64x^3 + 996x^2 + 48x + 8
Step-by-step explanation:
Answer:
12x+6
Step-by-step explanation:
[tex](4x+2)3[/tex]
Use the distributive property to multiply (4x+2) by 3:-
[tex]12x+6[/tex]
Energy for both renewable and nonrenewable sources originally comes from
A. Oil
B. Earth's core
C. fossil fuel
D. the sun
Answer:
d
Step-by-step explanation:
The sun is the primary source because without it there will be nothing like renewable or nonrenewable energy
Suppose Jason gathered data about the heights of 250 students and the ages of 15 teachers. Would you
recommend Jason use a dot plot or a histogram to represent each data set? Why?
Answer:
use a dot plot because it can show you the the coordinate numbers on the graph.
Look at the number line below what value does point X show
Answer:
let xtake the part to be 1.2
What's solid figure could be formed from the net shown 15 cm 9 cm
Answer:
triangular pyramid
..................
Find the perimeter
...................
Answer:
58 inches
Step-by-step explanation:
15+12=27+14=41+9=50+8=58
Is this inverse or direct variation?
y = 3/x
a rectangle measures 1 1/4 by 2 3/4 inches what is the area
let's firstly convert the mixed fractions to improper fractions, and then get their product.
[tex]\stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} ~\hfill \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{4}\cdot \cfrac{11}{4}\implies \cfrac{(5)(11)}{(4)(4)}\implies \cfrac{55}{16}\implies 3\frac{7}{16}[/tex]
Find the distance between the points (4,-2), (4,-5)
[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and}~~ (x_2 ,y_2) = (4,-5)\\\\\text{Distance} = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~~~~~~~~=\sqrt{(4-4)^2 + (-5+2)^2}\\\\~~~~~~~~~~~~=\sqrt{0^2+(-3)^2}\\\\~~~~~~~~~~~~=\sqrt{0+9}\\\\~~~~~~~~~~~~=\sqrt 9\\\\~~~~~~~~~~~~=3[/tex]
Chris writes the expression − 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) .
Which of these are equivalent expressions? Select TWO correct answers.
A. x − 15
B. x − 3
C. x + 15
D. ( 12 x − 11 x ) + ( 3 − 18 )
E. ( 12 x − 11 x ) + ( 18 − 3 )
F. ( 12 x − 11 x ) + ( − 6 + 3 )
The equation which equivalent to given expression − 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) is
x+15( 12 x − 11 x ) + ( 18 − 3 )The Correct option is (C) and (E)
What is Linear equation in one variable?
A linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1. Linear equations in one variable may take the form ax+ b = 0.
The given equation is:− 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) .
= -3x+18 + 12 x -8x-3
=x +15
The corresponding equation to the above equation is:
C. x+15
D. (12 x - 11x) + (3-18)
= x-15
E. (12 x - 11x) + (18-3)
= x+15
F. (12 x - 11x) + (-6+3)
= x-3
As from the above it can be seen that the equation which equivalent to given expression − 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) . is
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