How much principal must be deposited to earn $1,000 simple interest in 250 days at a rate of 5.05%?

The fractional error for given example is 0.0057

For given question,

the theoretical value of a quantity is 3.142,

and the calculated value is 3.16

We know that, the fractional error is the ratio of the absolute difference and the accepted value.

Fractional error =  absolute difference / accepted value

Fractional error = |E - A| / A

Here, A = 3.142

E = 3.16

So, the absolute difference would be,

|E - A| = |3.16 - 3.142|

          = 0.018

Now we find the fractional error.

⇒ Fractional error = |E - A| / A

⇒ Fractional error = 0.018 / 3.142

⇒ Fractional error = 0.0057

Therefore, the fractional error for given example is 0.0057

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The length of the side of the quadrilateral is 12 cm.

A closed quadrilateral has a total of four sides,  four angles and four vertices.

from the scale factor properties of quadrilaterals we know that:

Scale factor = BC ÷ XY

Now we substitute the values to find the length of XY.

[tex]or, \frac{3}{7} =\frac{BC}{XY} \\\\or, \frac{3}{7} =\frac{28}{XY}\\\\or, XY = 65.33..\\\\or, XY\approx65.33[/tex]

Hence the length of XY is 65.33 cm.

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The volume of the given square pyramid in cubic feet is 2.5 cubic feet.

Given that, a square pyramid has a volume of 4320 cubic inches.

We need to find the volume of this pyramid in cubic feet.

The volume of a square pyramid is one-third of the product of the area of the base and the height of the pyramid. Thus, volume = (1/3) × (Base Area) × (Height).

To convert from cubic inches to cubic feet, divide your cubic inches figure by 1728.

Now,  4320/1728 = 2.5 cubic feet

Therefore, the volume of the given square pyramid in cubic feet is 2.5 cubic feet.

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After solving the expression we get 3x² ₊ 6x ₊ 2 .

Given f(x) = 3x₊5

g(x) = 4x² ₋ 2

h(x) = x² ₋ 3x ₊ 1

f(x)  ₊  g(x) ₋ h(x)

substitute the values.

3x ₊ 5 ₊ 4x² ₋ 2 ₋ (x² ₋ 3x ₊ 1)

4x² ₊ 3x ₊ 3 ₋ x² ₊ 3x ₋ 1

3x² ₊ 6x ₊ 2

hence we get 3x² ₊ 6x ₊ 2 .

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The perfect squares which are nearest to the square root of 11 as in the task content are; 1 and 4.

It follows from the task content that the perfect squares which are nearest to the square root of 11 are to be determined.

Hence, one must first determine what the square root of 11 is as follows.

The square root of 11 as given in the task content is; √11 = 3.32.

Hence, the numbers which are perfect squares and closest to the number 3.32 are; 1 and 4.

Consequently, it follows that the perfect squares as required are; 1 and 4.

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Answer:

According to my the answer is 32

Step-by-step explanation:

cuz 4 ÷ 1/8 becomes 4×8/1

which is 32

=================

Work Shown:

(p+4)^2

(-5+4)^2

(-1)^2

1

Explanation:

We replace p with -5, since p = -5. Then use the order of operations PEMDAS to simplify. Keep in mind that (-1)^2 = (-1)*(-1) = 1. The two negatives cancel out. The value of g is never used.

Answer:

True

(If it has 4 sides it is also known as a Quadrilateral!)

Step-by-step explanation:

Answer:

yes

the reson for htis is b/c retangles are qudrilateral and quadtrialterals have four sides

Answer: 4q^2

Step-by-step explanation:

(-2q)^2=

(-2*q)^2=

(-2)^2 * q^2=

4 * q^2=4q^2

Explanation:

To add a negative number, we are basically subtracting it because of this:
Example:
10 - 5 = 5

10 + (-5) = 5

The negative sign cancels out the positive which makes it into a subtraction problem instead.

Answer:

24 inches square

Step-by-step explanation:

Area = length x width

A = 3 x 8 = 24

Answer: X= -8

Step-by-step explanation:

Rearrange your terms:

5-X=13

-x+5+13

Subtract 5 from both sides

Simplify those = -X = 8

Dive both sides by same factor, -1

Simplify again

Solution= X= -8

Answer: $0.99

Step-by-step explanation:

2.71/2.75=

0.98545=

0.98545=$0.99

(a) The mean of (2) will be greater than the mean of (1) and the distribution of (2) will have more variation as compared to the distribution of (1) because the maximum of (1) is smaller than the maximum of (2)

(b) The mean of (2) will be smaller than the mean of (1) and the distribution of (2) will have more variation as compared to the distribution of (1) because the minimum of (2) is smaller but negative than the minimum of (1) which is also negative.

(c) The mean of (2) will be more than the mean of (1) and the distribution of (2) will have more variation as compared to the distribution of (1) because the maximum of (1) is smaller than the maximum of (2)

(d) The mean of (2) will be smaller than the mean of (1) and the distribution of (2) will have smaller variation as compared to the distribution of (1) because the range of (1) is greater than the range of (2)

The mean is a measure of the central trend of a probability distribution along the median and the mode.

a distribution is the set of all possible values for terms representing defined events.

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The equivalent expression using laws of exponents gives us; 2 over quantity 9 times d raised to the negative fourteenth power end quantity

We want to write an equivalent expression for 4 times d raised to the negative fifth power all over quantity 18 times d raised to the ninth power end quantity. This can be expressed as;

4d⁻⁵/18d⁹

Now, according to laws of exponents, we know that;

x²/x³ = x²⁻³ = x⁻¹

Applying that law to our question gives us;

4d⁻⁵/18d⁹ = (4/18)(d⁻⁵⁻⁹)

= (4/18)(d⁻¹⁴)

Now, the expression 4/18 can be broken down to 2/9. Thus, our final expression is; ²/₉d⁻¹⁴

Writing that in words gives;

2 over quantity 9 times d raised to the negative fourteenth power end quantity

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Answer: 2/9d^14 or 2 over 9 times d to the 14th power

Step-by-step explanation: AFOKE88 gave the same answer. this answer is correct you just have to understand how to write this equation in word form to understand them. they also gave a great explanation for those who need it.

Answer:

Y= (-27)

Step-by-step explanation:

Well, I am assuming your just looking for Y. So what I did was you'd want to get rid of the fraction first. I multiplied 3 to all the numbers. so -12(3) = 6(3) + 2y since the bottom 3 from the fraction cancelled out with the (3). so now it would be -36=18+2y. -54/2=2y/2 which leads to -27. So I think Y= -27.

The equivalent expression of √-12 is 2√-3

The expression is given as

√-12

Express 12 as 3 * 4

So, we have

√-12 = √(-3 * 4)

Expand the expression

So, we have

√-12 = √-3 * √4

Take the square root of 4

√-12 = √-3 * 2

Evaluate

√-12 = 2√-3

Hence, the equivalent expression of √-12 is 2√-3

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The students she's had in 7 years is 850.

It should be noted that we want to find the 7th term. This will be:

a + (n - 1)d

a = First term = 250

d = Difference = 100

n = Number = 7

Therefore, a + (n - 1)d

= 250 + (7 - 1)100

= 250 + 600

= 850

Therefore, the students she's had in 7 years is 850.

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Answer: 89633.78

Step-by-step explanation: Hope this helps :)

Answer: 13 ==> B

Step-by-step explanation:

x=-3, y=4, z=-1

|2x-3y|+5z=

|2(-3)-3(4)|+5(-1)=

|-6-12|-5=

|-18|-5=

18-5=13 ==> B

The expected length of the middle part of the stick is 1/3

We know that the Symmetry Principal,

When n points are drooped on a unit segment, the distributions of lengths of the so obtained n + 1 pieces are all the same.

Let the two points have coordinates x and y. Then the expected value of the middle segment is:

[tex]\int\limits^1_0 \int\limits^1_0 {x-y} \, dx~ dy = \frac{1}{3}[/tex]

Let L be the expected value of the length of the middle part of a stick. Since, according to the Symmetry Principle, the lengths of all three segments have the same distribution, their lengths have the same expected value, viz., L.

But in any experiment, the lengths of the three pieces add up to 1.

⇒ 3L= 1

⇒ L = 1/3

Therefore, the expected length of the middle part of the stick is 1/3

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Answer: 5732

Step-by-step explanation:

Answer: 6z^2-3z-2

Step-by-step explanation: hope this helps a little !!!!

Answer:

Step-by-step explanation:

150 90x 100/60

Answer:

Step-by-step explanation:

B

Answer:

Step-by-step explanation:

from the sign it's a right angle, so 90°

90 = x - 8 + 6x

90 + 8 = 7x

98 = 7x

x = 98 : 7

x = 14

------------------

check

90 = 14 - 8 + 6 * 14       (remember pemdas)

90 = 14 - 8 + 84

90 = 90

the answer is good

Find angle 1

x - 8

14 - 8 =

6°

Find angle 2

6x

6 * 14 = 84°

--------------------

check

84 + 6 = 90°

the answer is good

Answer:

[tex]\textsf{a)} \quad \textsf{Equation}: \quad \boxed{x-8+6x=90}[/tex]

[tex]\begin{aligned}\textsf{b)} \quad m \angle 1 & =\boxed{6^{\circ}}\\ m \angle 2 & =\boxed{84^{\circ}}\end{aligned}[/tex]

Step-by-step explanation:

From inspection of the given diagram, the sum of the two angles is 90° (indicated by the right angle sign):

[tex]\implies m \angle 1+m \angle 2=90^{\circ}[/tex]

[tex]\implies (x - 8)^{\circ} + (6x)^{\circ} = 90^{\circ}[/tex]

[tex]\implies x-8+6x=90[/tex]

[tex]\textsf{Equation}: \quad \boxed{x-8+6x=90}[/tex]

To find the measure of each angle, solve the equation for x:

[tex]\implies x-8+6x=90[/tex]

[tex]\implies x+6x-8=90[/tex]

[tex]\implies 7x-8=90[/tex]

[tex]\implies 7x-8+8=90+8[/tex]

[tex]\implies 7x=98[/tex]

[tex]\implies \dfrac{7x}{7}=\dfrac{98}{7}[/tex]

[tex]\implies x=14[/tex]

Substitute the found value of x into the expression for each angle:

[tex]\implies m \angle 1=(x-8)^{\circ}[/tex]

[tex]\implies m \angle 1=(14-8)^{\circ}[/tex]

[tex]\implies m \angle 1=\boxed{6^{\circ}}[/tex]

[tex]\implies m \angle 2=(6x)^{\circ}[/tex]

[tex]\implies m \angle 2=(6 \cdot 14)^{\circ}[/tex]

[tex]\implies m \angle 2=\boxed{84^{\circ}}[/tex]

Answer:

132

Step-by-step explanation:

Answer:

-6<x<0

Step-by-step explanation:

-8|x/3+1|>-8

-8|x/3+1|/(-8)>-8/(-8)

|x/3+1|<1

x/3+1<1

x/3<0

x<0

x/3+1>-1

x/3>-2

x>-6

-6<x<0

The money you will have invested at one year is $560

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are:

Initial = $200

Rate = $30

Let the number of months be n

So, we have

f(n) = Initial + Rate * n

This gives

f(n) = 200 + 30n

There are 12 months in a year

So, we have:

f(12) = 200 + 30 * 12

Evaluate

f(12) = 560

Hence, the money you will have invested at one year is $560

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