How to find the simple interest rate if P=$4,000. T=2 years . And I= $320
And pls explain how I can find simple interest in every question bc I’m stressing about math finals

Answer:

25%???

Step-by-step explanation:

I think

Answer:In the diagram, there are 28 tiles. You can do that with easy multiplication or just counting. Each square length is 1.5 feet, or 18 inches. You get that by multiplying 12 by 1.5. The area of a square is 324 inches, found by multiplying 18 by 18. Divide 324 by the area of a tile, 36 (6*6), to get 9. There are 9 tiles in each square. Multiply 9 by 28 to get... 252

Step-by-step explanation:

Answer:

5/6(83.33%) I think this should be the probability of it.

Step-by-step explanation:

THREE SOLUTION TO PROVE ITS FALSE

1:2

Multiply by 3 on each side

1*3 : 2*3 = 3:6

This is not the same as 6:3

3 apple:6 bananas is not the same as 6 apples: 3 bananas

1:2 is equivalent to 6:12 not 6:3

because 1x6=6 2×6=12 =6:12

3)

however when we solve mathematically

1/2=6/3

1/2=2

The sides are not equa so its false

a) If this trend continues, how many birds will be left by 2010 will be 525

b) The  birds would there have been in 1990 will be 2475

Rate of increase or decrease is defined as the increment or decrement in any quantity over a period of time constantly.

Here we have the data that:

There were 1500 birds in 2000 and they are decreasing at an annual rate of 6.5%.

a) If this trend continues, how many birds will be left by 2010

{1500x6.25}/{100}=97.5

So the bird decrement in the one year will be =97.5 so it will be in the 10 years or upto 2010 will be

97.5x10=975

So the birds left till 2010 will be:

Q=1500-975=525

b)The birds would there have been in 1990 will be:-

=1500+975=2475

Hence If this trend continues, how many birds will be left by 2010 will be 525.The  birds would there have been in 1990 will be 2475

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Since it's an arithmetic sequence,

[tex]a_2 = a_1 + d[/tex]

[tex]a_3 = a_2 + d = a_1 + 2d[/tex]

[tex]a_4 = a_3 + d = a_1 + 3d[/tex]

and so on, up to

[tex]a_n = a_1 + (n-1)d[/tex]

Now, by substitution,

[tex]a_1 + a_3 + a_5 = -12[/tex]

[tex]a_1 + (a_1+2d) + (a_1+4d) = -12[/tex]

[tex]3a_1 + 6d = -12[/tex]

[tex]a_1 + 2d = -4[/tex]

[tex]\implies a_1 = -4-2d, a_3 = -4, a_5 = -4+2d[/tex]

Then the product [tex]a_1a_3a_5=80[/tex] depends only on d, so that

[tex](-4-2d) \times (-4) \times (-4+2d) = 80[/tex]

Solve for d :

[tex](4+2d) (4-2d) = -20[/tex]

[tex]16 - 4d^2 = -20[/tex]

[tex]4d^2 = 36[/tex]

[tex]d^2 = 9[/tex]

[tex]d = \pm3[/tex]

If d = 3, then the first term in the sequence is [tex]a_1 = -10[/tex], and the tenth term would be [tex]a_{10} = \boxed{17}[/tex].

If d = -3, then the first term would instead by [tex]a_1 = 2[/tex], and the tenth term would be [tex]a_{10} = \boxed{-25}[/tex].

Answer:

Y = -(1/3)X

Step-by-step explanation:

Extract two points

P1(6; -2) P2(-6; 2)

Now:

Y=mX+n. n=0 (interception with Y axis) exis)

Y=mX +0. m= (y2-y1) / (x2-x1)

m= (2+2) / (-6-6)

m= -(1/3)

Y=-(1/3)X

Answer:

If the circle touches all 4 sides, the diameter is 2 so the area us 3.14(4) = 12.56.

16 - 12.56 = your answer

Mark brainliest if I am right pls

If the height of the trapezium is 7 units. Then the area of the trapezium will be 31.5 square units.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

The quadrilateral ABCD whose vertices are A(-2,-1), B(-2,-3), C( 5,6), and D(5,-1).

The lines AB and CD are parallel to the y-axis. Then the quadrilateral ABCD is a trapezium.

The height of the trapezium will be 7 units.

The area of the trapezium will be

Area = 1/2 (2 + 7) x 7

Area = 0.5 x 9 x 7

Area = 31.5 square units.

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Explanation:

The mode is the most frequent number. It is the number that shows up the most.

Sorting the values gets us {1, 3, 3, 4, 5, 6, 8, 9, 10} in which we can see that "3" shows up twice, which is the most compared to any other value. Therefore the mode is 3.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It will take 308 months for Diego to pay the complete loan.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = P×T×R

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

The interest that will be charged on the principal amount is,

SI = $159,000×30×0.0505 = 240,885

Now, the total amount that Diego needs to pay is the sum of interest and principal, therefore,

Total amount = $159,000 + $240,885 = $399,885

Further, since each month Diego is paying $1300, therefore, the number of months it will take to pay the complete loan is,

Number of months = $399,885/$1300 = 307.6 ≈ 308

Hence, it will take 308 months for Diego to pay the complete loan.

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Answer:

20

Step-by-step explanation:

using the given formula:

V = 1/3(Base Area)(height)

V = 1/3 (5)(12)

V = 1/3 (60)

V = 20

Answer:

20

Step-by-step explanation:

V = 1/3Bh

V = 1/3 x 5 x 12

V = 4 x 5

V = 20 cubic feet

Answer:

W'' (-5,-11) , X'' (-11,-9) , Y'' (-9,-3) and Z'' (-3,-5)

Kindly check the attached image for more reference

Step-by-step explanation:

Given points of WXYZ ( can be identified by looking at the graph )

Applying translation 3 units left , 15 units down

(Note when shifting left , you subtract from the x value , when shifting down, you subtract from the y value.)

Rule for translation (x,y) ===> ( x - 3 , y - 15 )

Applying translation to given points

Applying rotation 270° counterclockwise around the origin

Rotation 270° clockwise rule : (x,y) ===> (y,-x)

Explanation of rule , change the sign of the x values, then swap the x and y values places.

Applying rotation rule to points

So the final points of square WXYZ after the two transformations would be W'' (-5,-11) , X'' (-11,-9) , Y'' (-9,-3) and Z'' (-3,-5)

To see this graphed, kindly view the attached image.

The red square represents the square before any transformations

The blue square represents the square following the translation

And the black square represents the coordinates of the square after the full transformation including both the translation and the rotation .

Answer:

Original image:

W = (14, 10)

X = (12, 4)

Y = (6, 6)

Z = (8, 12)

To translate 3 units left, subtract 3 from the x-values (x - 3)

To translate 15 units down, subtract 15 from the y-values (y - 15)

W' = (14 - 3, 10 - 15) = (11, -5)

X' = (12 - 3, 4 - 15) = (9, -11)

Y' = (6 - 3, 6 - 15) = (3, -9)

Z' = (8 - 3, 12 - 15) = (5, -3)

(red square on attachment)

To rotate 270° counterclockwise around the origin (0, 0),

the point (x, y) becomes (y, -x). So, switch x and y and make x negative.

W'' = (-5, -11)

X'' = (-11, -9)

Y'' = (-9, -3)

Z'' = (-3, -5)

(green square on attachment)

Answer:

Step-by-step explanation:

b

Kate can see across the horizon by 3.33 times further than Paul.

The assumed shape of the horizon shows that it forms a cone shape. The volume of the cone can be used to determine how far they can see.

The volume of the cone [tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

For Kate:

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{50 }{3}}[/tex]

V = 2.12526863 × 10¹⁵ m³

For Paul

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{15 }{3}}[/tex]

V = 6.3758059 × 10¹⁴ m³

To determine how much further can kate see across the horizon than Paul, we have:

= Volume of Kate/Volume of Paul

= 2.12526863 × 10¹⁵ m³/6.3758059 × 10¹⁴ m³

= 3.33 times further.

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Answer:

x = -2

Step-by-step explanation:

[tex]20x - 20 = -60\\20x = -40\\x = -2[/tex]

hope this helped!!

Answer:

x = -2

Step-by-step explanation:

Divide both sides by 5 :

Add 4 to both sides :

Divide both sides by 4 :

Answer:

Carolyn

Step-by-step explanation:

Carolyn:

45% = 0.45

We multiply the orignal price with 0.45 to see how much it increased.

[tex]20(0.45) = 9[/tex]

We then add it to the original price

[tex]20+9 =29[/tex]

Emily:

31% = 0.31

We multiply the orignal price with 0.31 to see how much it increased.

[tex]20(0.31) = 6.2[/tex]

We then add it to the original price

[tex]20+6.2=26.2[/tex]

That means that Carolyn is correct.

Answer:

y=1, x=3   or (3,1)

Step-by-step explanation:

when you add the two equations together the two x's cancel out, which leaves one solvable equation, 7y=7, so y=1, then you can plug y=1 into one of the equations. 2x+3(1)=9 which is 2x+3=9 then solve, x=3.

Additionally if you want to check answers plug both into one equation- -2(3)+4(1)=-2, -6+4=-2, -2=-2 which is correct.

The solution for the given linear system from the elimination method is x=3 and y=1.

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

You can solve a linear system by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

-2x+4y=-2 (1)

2x+3y=9   (2)

You should sum the equations 1 and 2, for eliminate the variable x.

-2x+4y+2x+3y=-2+9

7y=7

y=1

If y=1 from equation 2, you have:

2x+3*1=9

2x+3=9

2x=9-3

2x=6

x=3

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It can be estimated that the total amount of water that Mr. Thando used is 40 Kiloliters. See the arithmetic calculation/ explanation below and the reconstructed table attached.

The approximate amount of water that he has been charged for will be given as follows:

The maximum fee for Band A + Maximum fee for Band B + Maximum fee for Band C.

Which is: (0) + (6.36 *14) + (7.98*20) = R248.64

Recall that the total amount he was charged is R281.27.

Hence, because the question does not include the percentage of VAT payable, and the referenced table is unavailable, we are forced to assume that the difference between the amount paid and our calculations above is the VAT.

This figure (that VAT)  is: R281.27 - R248.64 = R32.63

Hence, the total amount of water used by Mr. Thando is: 6 + 14 + 20 = 40Kl

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Answer: 10 teams is the answers

Answer:

18

Step-by-step explanation:

the absolute value is 18

Answer:

You would plant 2 trees in each row instead of 4.

10 divided by 5 = 2

Answer:

[tex]y = \frac{5}{4} x + 25[/tex]

Step-by-step explanation:

We were told that the equation of the line we are looking for is perpendicular to

[tex]y = - \frac{4}{5} x + 5[/tex]

We know that the gradient of perpendicular lines when multiplied is equal to -1, therefore

[tex] line \: .1 \times \: line \: .2 = - 1 \\ \\ \frac{4}{5} \times line \: .2 = - 1 \\ \\ line \: .2 = \frac{ - 1}{ \frac{4}{5} } [/tex]

[tex]line\: .2 = \frac{5}{4} \: \: \: \: y = 15 \: \: \: \: x = - 8 \\ \\ y = mx + c \\ \\15 = ( \frac{5}{4} ) - 8 + c \\ \\ 15 = - 10 + c \\ 15 + 10 = c[/tex]

[tex]25 = c \\ \\ therefore \: the \: equation \: of \: the \: line \: is \: \\ \\ y = \frac{5}{4} x + 25[/tex]

Answer: 8x-7y = 56

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Trapezoid has 4 lines

If each side increase by 7, 4 lines totally increase by 7*4 = 28

Perimeter will be 14 + 28 = 42