Example An investor Saved #120,000 For 7 years in a bank which pays interest of 11½% per annum Calculate the a. Interest which accrued b balance if # 25,000 was withdrawn from the account (N 28,276) 00​

Answer:

Lie #3

b^6 is not b^8

Step-by-step explanation:

All the problems use the quotient rule of exponents, which says that you subtract the exponents when dividing by the same base.

If we plug in 2 for x on #3, we have

[tex]\frac{b^8}{b^2}=b^(^8^-^2^)=b^6\\ b^6\neq b^8[/tex]

Furthermore, x would need to be 0 to make #3 true since 8-0 = 8

Answer:

B. x = 5 +i√5  and    x = 5 - i√5

Step-by-step explanation:

Answer: x= 5  y= -2

Step-by-step explanation: Time 2 to eliminate the y

6x - 4y = 38

5x + 4y =17

11x = 55

x= 5

Then put 5 in for the x, and you will get,  y = -2

The expression 10.2x + 9.4y when x = and y = 3 is 38. 4

An algebraic expression can be defined as an expression that is composed of terms, constants, coefficients, variables and factors.

These algebraic expressions are also made up of mathematical operations such as;

From the information given, we have the algebraic expression;

10.2x + 9.4y

Now, let's substitute the values of x as 1 and y as 3 into the expression, we have;

10.2(1) + 9.4(3)

expand the bracket

10. 2 + 28. 2

Add the values

38.4

Hence, the value is 38.4

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Answer:

Note that with embedded parentheses (parentheses within parenthesis), you always perform operations inside out; do the math on the inside before the outside. Note that if you have an absolute value | | sign which means take the positive value only of a number inside.

Answer: Absolute Value is the first level.

Step-by-step explanation:

2 |-10|

2 * 10

20

Answer:

163 rounded to the nearest ten = 160.

Step-by-step explanation:

yes since 163 is not 165 or greater its 160 but if it the number was greater than 165 than it would be 170. in this case its not so the answer would be 160.

Answer:345321

Step-by-step explanation:

you said it?

Answer:

m = 7

Step-by-step explanation:

6 + 6 + 7 = 19.

You're welcome.

Answer:

cosФ = [tex]\frac{17}{25}[/tex]

Step-by-step explanation:

the sin and cos are the same and for tan it's flipped.

Van Dressler's total sales amount is $12,166.6666667

What is sales amount ?

A sale is a deal in which two or more parties exchange goods or services for cash or other assets. A sale in the financial markets is an arrangement between a buyer and a seller that covers the cost of a security and its delivery for predetermined payment.Before any expenditures are taken into account, revenue is the whole amount of income that a business earns from its main operations. Sales are the money that a business makes through offering its clients products or services.

3% = $365

365/3*100 =$12,166.6666667

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Answer:

I think you times both numbers

Step-by-step explanation:

time both number s

This is an example of a seasonal component in a time series. A seasonal component refers to regular, predictable patterns that are associated with the time of year, such as increased sales during the summer months.

Selling products or services to clients in exchange for cash or other types of payment is known as ale. The sales process consists of a number of elements, such as:

Product: The items or services being sold are referred to here. A corporation must have a comprehensive grasp of its product offerings and how they fit the demands of its target market.

Price: The sum of money that a consumer must fork over in order to purchase the item or service. Price should be set to maximise profit while maintaining market competitiveness.

Locations where higher the good or service is sold are referred to here as "place." Physical storefronts, internet marketplaces, or a network of distributors may all fall under this category.

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Answer:

Step-by-step explanation:

3x+8 = x-6

x=?

3x + 8 = x - 6

2x = -14

x = -7

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

check

3 × (-7) + 8 = -7 - 6

-21 + 8 = -13

-13 = -13

the answer is good

The two column proof to show that m∠G + m∠K + m∠GHK = 180° is as detailed below.

A two-column proof is basically a geometric proof that consists of a list of statements, and the reasons for which those statements are true. The two column proof in this regard are;

Statement 1: GH║HJ

Reason 1: Given

Statement 2: ∠G ≅ ∠IHJ

Reason 2: Corresponding angles theorem

Statement 3: ∠K ≅ ∠JHK

Reason 3: Alternate Interior angles theorem

Statement 4: m∠IHK ≅ M∠IHJ + m∠JHK

Reason 4: Additive property of angle measure

Statement 5: m∠IHK ≅ m∠G + m∠K

Reason 5: Substitution property

Statement 6: m∠IHK + m∠GHK = 180°

Reason 6: Angles forming a linear pair sum to 180°

Statement 7: m∠G + m∠K + m∠GHK = 180°

Reason 7: Substitution

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If a Triangle ΔABC has a perimeter of 38 and AC≅DC as well as BD≅BA than the side DC can be measures as CD=38-AB-BC if AB and BC are given.

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

In the case of a triangle, the perimeter will be the sum of all the three sides. If a triangle has three sides a, b and c, then, Perimeter, P = a + b +c

As the perimeter of a triangle ABC is

Perimeter=AB+BC+CA

And we are given with only the perimeter of triangle;

P=38m

Now;

As given condition is;

AB=BD, AC=CD So;

38=AB+BC+CD

And

CD=38-AB-BC

If then length of the sides of AB and BC are provided we can calculate the value of CD

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Answer:

B

Step-by-step explanation:

since it is already finalized that 200 lbs worth of computers have been loaded onto the truck, that will be a number by itself in the equation. However, the number of boxes of books is not finalized, and the question is asking you to create an inequality that may help find the amount of full boxes that can be loaded onto the truck without exceeding the weight limit of 1400 lbs.

hope this helps!!! :3

Given that 10% of people are left-handed, the likelihood that there will be exactly 2 left-handed individuals is 0.098415. if a random selection of 7 people is made.

10%, a comparative figure denoting one hundredth of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. percentage. Math percentile is a related topic.

As a result:

10% of people identify as left-handed.

P(left-handed) = 0.1 is the probability of success.

Selection number (n) equals six

The number of left hands in the selection (x) is precisely 2 P(6, 2) = 6C2 * 0.1 * (1 - 0.1) (6-2)

P(6, 2) = 15 * 0.01 * 0.6561\P(6, 2)

= 0.098415

Given that 10% of people are left-handed, the likelihood that there will be exactly 2 left-handed individuals is 0.098415. if a random selection of 7 people is made.

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The features of each function shown on Cartesian plane:

Function 1: Domain: 2 ≤ x < 3, Range: 1 < y ≤ 3, y = - 2 · x + 7

Function 2: Domain: - 4 ≤ x < 4, Range: - 4 ≤ y < - 2, y = (5 / 9) · x² - 2

In this question we must the determine the domain and the range of each of two functions. The set of elements for the domain corresponds to the horizontal axis of the Cartesian plane, represented by variable x, while the vertical axis corresponds to the vertical axis of that plane, represented by variable y.

Now we proceed to determine the domain and the range of each function:

Function 1

Domain: 2 ≤ x < 3, Range: 1 < y ≤ 3

The definition of the function is:

3 = 2 · m + b

2 = 2.5 · m + b

(m, b) = (- 2, 7)

y = - 2 · x + 7

Function 2

Domain: - 4 ≤ x < 4, Range: - 4 ≤ y < - 2

The definition of the function is:

y + 2 = C · x²

3 + 2 = C · 3²

5 = 9 · C

C = 5 / 9

y + 2 = (5 / 9) · x²

y = (5 / 9) · x² - 2

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The equation for the relationship between the regular price (r) and the neighbor's price (n) will be r - n = 250.

A mathematical expression with an equals sign is referred to as an equation.

Algebra is widely used in equations.

When performing calculations but unsure of the precise number, algebra is used.

Linear equations: Any equation that can be expressed as ax + by + c = 0, where a, b, and c are all real numbers and a and b are not equal to zero.

In light of the posed query.

Khalid keeps bees and sells honey from them.

Additionally, n stands for the neighbor's honey price in dollars and r stands for the ordinary honey price in dollars.

We can determine the discount from the provided information.

7 - 4.50 = 2.50

8 - 5.50 = 2.50

10 - 7.50 = 2.50

12 - 9.50 = 2.50

Khalid gives his neighbor $2.50.

The equation for the link between the regular price r and the neighbor's price n will therefore be: r - n = 250

Therefore, the equation for the relationship between the regular price (r) and the neighbor's price (n) will be r - n = 250.

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Complete question:

Khalid raises bees and sells the honey. He gives a discount to his neighbors. The table shows the neighbors' price, n, of buying honey that has a regular price of r dollars. Write an equation that represents the relationship. I put two pictures below to help. :)

Answer: r - n = 2.5

Step-by-step explanation: Took Quiz

Because when two linear equations graph this very same line, a system of two linear simultaneous equations variables cannot be solved.

A linear equation seems to be an algebraic equation of something like the form y=mx+b, where m is the slope as well as b is the y-intercept, and only a constant and an initial-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

2x+6y=-28       (i)

x + 3y = -14      (ii)

Subtract 3y from both sides of the equation(ii)

[tex]\begin{matrix}&x=-14-3y\\&2x+6y=-28\\\end{matrix}[/tex]

Replace all occurrences of x with -14-3y in each equation.

Replace all occurrences of x in 2x+6y=-28 with -14-3y.

[tex]\begin{matrix}&2(-14-3y)+6y=-28\\&x=-14-3y\\\end{matrix}[/tex]

Simplify the left side.

Simplify 2(-14-3y)+6y.

[tex]\begin{matrix}&\ -28=-28\\&x=-14-3y\\\end{matrix}[/tex]

Remove any equations from the system that are always true.

[tex]x=-14-3 y[/tex]

there is no solution for the given equation.

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If LMNO is a parallelogram then NM=7=OL and the value of X is 7 unit

What is a Parallelogram?

A quadrilateral having two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.

A parallelepiped is a three-dimensional shape with parallelogram-shaped faces. The base (one of the parallel sides) and height (the distance from top to bottom) of the parallelogram determine its area. A parallelogram's perimeter is determined by the lengths of its four sides.

As it is a parallelogram so, the opposite sides of the parallelogram are equal so NM=OL and ON=LM ,

according to the question ;-

NM = x+5

OL=2x+3

and NM=OL

x+5=2x+3

x=2

So, NM= 7

OL=7

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Answer:

l =  10 feet

m = 30 feet

n = 25 feet

Total Perimeter = 65 feet

Step-by-step explanation:

The perimeter of a trianlge is the sum of its three sides, and in this case is equal to 65 feet.

65 feet = l + m + n

l + m + n = 65

We also know that:

 l = (1/3)m, and

n = l+m-15

Substitute these definitions of l and n into the original equation:

l + m + n = 65

[(1/3)m] + m + [l+m-15] = 65

[(1/3)m] + m + [[(1/3)m]+m-15] = 65

Simplify:

(1/3)m + m + (1/3)m + m - 15 = 65

2m + (2/3)m = 80

(6/3)m + (2/3)m = 80

(8/3)m = 80

m = 80*(3/8)

m = (10)*(3)

m = 30 feet

Since l = (1/3)m, l = 10 feet

Since n = l+m-15, n = 10 + 30 - 15, or 25 feet

The three sides are

      l:    10 feet

     m:  30 feet

     n:   25 feet

Total = 65 feet

Pythagorean Theorem  we get x is 8.

given :

Hypotenuse = 10

base = 6

unknown leg x  = [tex]\sqrt{10^2 - 6^2}[/tex] = [tex]\sqrt{64}[/tex] = 8

x =8 .

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Answer:

180

Explanation:

5% of x = 9

9 × 100 = 900

900 ÷ 5 = 180

So,

5% of 180 = 9

5Answer:

45

Step-by-step explanation:

9x0.5=4.5

now, we're assuming the rate of 3.5% is for a simple interest account, so

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$900\\ P=\textit{original amount deposited}\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &2.5 \end{cases} \\\\\\ 900=P[1+(0.035)(2.5)] \implies 900=P(1.0875) \\\\\\ \cfrac{900}{1.0875}=P\implies 827.59\approx P[/tex]

Answer:

n = p+3q

Step-by-step explanation:

2^p x 8^q = 2^n

Exponent rules

Rewriting 8 as 2^3

2^p x 2^3^q = 2^n

Using the rule a^b^c = a^(b*c)

2^p x 2^3q = 2^n

Using the rule a^b * a^c = a^(b+c)

2 ^(p+3q) = 2^n

Since the bases are the same, the exponents are the same

p+3q = n

Answer:

[tex] \sf \: p + 3q = n[/tex]

Step-by-step explanation:

[tex]2^p*8^q=2^n[/tex]

First, write 8^q as a power of 2.

[tex]2^p*8^q=2^n\\2^p*2^3^q=2^n[/tex]

As all the bases are same, exponents are also equal.

Now add the powers.

∴ p + 3q = n

By solving linear inequation, it can be calculated that

The system of linear inequation represented by the graph is

x - y ≥ -8

3x + y ≥ -8

What is linear inequation?

Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by >,<, ≥, ≤

A one degree inequation is known as linear inequation.

Here,

One line passes through (0, 8) and (-1, 7)

Slope of the line = [tex]\frac{7-8}{-1-0}[/tex] = 1

Equation of line

y - 8 = 1(x - 0)

y - 8 = x

x - y = -8

Other line passes through (-4, 4) and (-3, 1)

Slope of the line = [tex]\frac{1-4}{-3-(-4)}[/tex] = -3

Equation of line

y - 4 = -3(x - (-4))

y - 4  = -3x - 12

3x + y = 4 - 12

3x + y = -8

Now the lines are solid lines

So equality is maintained

(0, 0) is inside the shaded region

So the system of linear inequation represented by the graph is

x - y ≥ -8

3x + y ≥ -8

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Answer:

x=8

y=-1

Step-by-step explanation:

Answer:

I'll try here: 23

Step-by-step explanation:

X = Sam's age.

X-10 = Ted's age

   X + X -10 = 56

    2X -10 =56

    2x = 66

      X = 33 , Sam's age

      33 - 10 = 23  Ted's age