activity 2: Time is gold!​

If the amount borrowed at 7.5% is four times the amount borrowed at 8.5%. The amount borrowed is: $200,000, $800,000, $1,000,000.

Now let find the amount borrowed

Let X+Y+Z = 2000000

0.06X + 0.075Y + 0.085Z = 137000

Y = 4Z

Substituting Y=4Z into the first and second equations:

X + 5Z = 2000000

0.06X + 0.075(4Z) + 0.085Z = 137000

X = 2000000 - 5Z

0.06X + 0.385Z = 137000

0.06(2000000 - 5Z) + 0.385Z = 137000

120000 - 0.3Z +  0.385Z = 137000

0.085Z + 120000 = 137000

0.085Z = 17000

Divide both side by  0.085Z

Z= 17,000/0.085

Z = 200000

So,

Y = 4Z

Y = 800000

X= 200,000 + 800,000

X = 1000000

Hence,

Z = 200000

Y = 800000

X = 1000000

Therefore the amount borrowed is: $200,000, $800,000, $1,000,000.

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Answer: [tex]\frac{2\sqrt{2}-1 }{2}[/tex]

Step-by-step explanation:

1. multiply both the numerator and denominator by [tex]2\sqrt{2}[/tex]

2. distribute on the top to get [tex]8\sqrt{2} - 4[/tex] ([tex]\sqrt{2} *\sqrt{2}[/tex] equals 2)

3. multiply the bottom to get 8

4. after getting [tex]\frac{8\sqrt{2}-4 }{8}[/tex], factor out a 4 from each term to get [tex]\frac{4(2\sqrt{2}-1)}{4(2)}[/tex]

5. the fours will cancel and the answer will be [tex]\frac{2\sqrt{2}-1 }{2}[/tex]

Answer: 60%

Step-by-step explanation:

Take 42 divided by 70, then times 100% = 60%

Yoko has ridden 60% so far!

An inequality that represents the number of both kinds of DVD players that can be sold to reach or beat the sales target  is 30p+60r≥250.

An inequality in mathematics is a comparison between two numbers or other mathematical expressions that is done in an unfair manner. On the number line, it is most typically used to compare the sizes of two numbers.

A and b are not equal in either situation. These interactions are recognized as robust inequalities.

Given,

Profit gained by selling portable DVD player=$30

Profit gained by selling portable DVD recorder=$60

Let,

The number of portable DVD player=p

The number of DVD recorders=r

And also given that,

The profit must be at least $250.

Therefore, 30p+60r≥250

Hence, an inequality that represents the number of both kinds of DVD players that can be sold to reach or beat the sales target  is 30p+60r≥250.

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Answer:

2.8

Step-by-step explanation:

First you need to divide the cost by the number of gallons dollars/number of gallons =cost per gallon

And then round it . I hope it helped

Answer:

Step-by-step explanation:

No x intercept means it can't touch the x axis y=x^{2}+1 does the trick since it moves the whole thing up one unit

In the given expression  14 - 0.6t, variable t represents the number of gallons of fuel used by the car each day.

For teh stated question-

In the given expression  14 - 0.6t, t represents the number of gallons of fuel used by the car each day.

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Answer:

Step-by-step explanation:

set the height function = 0 and solve for t-16t2+6400=0t2 = -6400/(-16)=

Answer:

wheres the photo?

Step-by-step explanation:

What is the alternate exterior angle of ∠11?

[tex]\angle 1 \cong \angle 7 \text { and } \angle 4 \cong \angle 6[/tex]

The number of sides in the given polygon is, n=11 . The sum of all exterior angles is 360o .

An exterior angle of a triangle is created by extending one side of the triangle. The angle between the extended side and the side next to it is called an exterior angle.

What is a alternate exterior?

Alternate Exterior Angles: The pair of angles on the outside of the two parallel lines but on the other side of the transversal are known as alternate exterior angles.

Look at the area above and below the crossed lines to find outside angles. Look at that outside area for each crossed line on different sides of the transversal to locate alternative outside angles. We assume you stated that the external angles are 1, 2, 7, and 8.

When a transversal connects two coplanar lines, alternate interior angles are created. They are located on the transverse sides of the parallel lines, but on the inner side of the parallel lines. At two different locations, the transversal passes through the two lines that are coplanar.

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Answer:

Hope this helps : )

You should shade in 1 whole rectangle on the the bottom left corner and the top half of the second rectangle the bottom right corner.

Step-by-step explanation:

This is because 1 1/2 is one whole rectangle and half of another rectangle. However, in this case the second rectangle on the bottom right corner is split into sixths. So half of it is 3/6 which is equal to 1/2.

The probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles =  0.0111

In this question we need to find the probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles.

Total marbles in tha bag

= 3 green marbles + 3 yellow marbles + 4 red marbles

= 10 marbles

the probability of drawing one marble from a bag,

P1 = 1/10

Now there are 9 marbles in the bag.

So, the probability of drawing second marble would be,

P2 = 1/9

So, the required probability of drawing two marbles (without replacement) from a bag would be,

P = P1 * P2

P = 1/10 * 1/9

P = 1/90

P = 0.0111

Therefore, the probability of drawing two marbles (without replacement) from a bag = 0.0111

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For the system of equations y = 2x -2 and y = 2x - 1, There is no solution.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given pair of set of equations,

y = 2x -2,

y = 2x - 1.

The graph of the equations is shown below,

To find the solution for the equations,

The value of x and y can not be determined because lines are parallel to each other.

Therefore, Equations have no solution.

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Answer:

The answer for f(g(3)) is 65.

Answer: its is 12

Step-by-step explanation:

Using system of linear equation the number of popcorn and drinks bought are 5 and  3 respectively

In solving a system of linear equation, we have two unknown variables which we are to find. However, we can use either substitution, elimination or graphical method to solve them.

In this case, to solve this problem, we have to write out two equations and solve for the unknown variable;

let;

x + y = 8 ...eq(i)

6x + 4y = 42 ...eq(ii)

From eq(i)

x + y = 8

x = 8 - y ...eq(iii)

Put eq(iii) into (ii)

6(8 - y) + 4y = 42

y = 3

put y = 3 into eq(i)

x + 3 = 8

x = 5

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Triangles ABC and DEF might or might not be congruent since the angle-angle-angle (AAA) postulate is not a requirement for congruency of any two triangles. This is due to the fact that the angle-angle-angle postulate only takes into account the triangles' angles and does not specify their side lengths, hence congruency for these triangles may or may not be true.

What is a congruent triangle?

Therefore, if two triangles have the same number of sides on each side, they are said to be congruent.

                   Additionally, we can determine if they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.

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Answer:

 congruent  

(AAA) 

Step-by-step explanation:

Answer:

{-1, 0, 1, 3}

Step-by-step explanation:

A relation is a set of ordered pairs of numbers. The domain of a relation is the set of all the first elements (or x-values) in the ordered pairs. In this case, the relation is (-1,5) , (0,4), ( 1,2) , (3,-2), so the domain is the set of all the x-values in these ordered pairs, which is the set {-1, 0, 1, 3}. Therefore, the domain of the relation is {-1, 0, 1, 3}.

The graph that correctly represents the function f(x) = [√(x + 3)] - 2 is; Graph D

We are given the function;

f(x) = [√(x + 3)] - 2

Remember that the argument of a square root must be zero or larger, then the minimum of the domain is the value of x such that:

x + 2 = 0

x = -2

Then the function starts at:

f(-2) = [√(-2 + 3)] - 2

f(-2) = 3

Then the graph should start at (-3, 2).

We can also identify another point by evaluating in x = 2.

f(2) = [√(2 + 3)] - 2

f(2) = -1

So the function also passes through (2, - 1).

Notice that the only graph that contains these two points is the last graph with x-intercept at 7.

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Answer: A

Step-by-step explanation: Divide your miles by hour hours:

12.25/2.5 = 4.9

Her average speed was 4.9 miles per hour

Answer: y=13\3 or 4 1\3

Step-by-step explanation:

Answer: You did wrong at Y=11/8! It should be -11/8, not positive 11/8

Step-by-step explanation:

You solved it all right; just the y is wrong! The reason why y is -11/8 is that a negative and a negative will make a positive, and add an x positive, and you will get a positive answer. If y is negative, the answer would be negative!

Answer:

Step-by-step explanation:

$80.75 Your welcome

Answer:

$80.75 dollars

Step-by-step explanation:

15% of 95 is 14.25

95 - 14.25 = 80.75

Answer: the answer is c

Step-by-step explanation:

because Bru

Distributive property make it easier to multiply a 2 digit number t0 a 1 digit number because by using distributive property we can multiply the number place of the two digit number by one digit number and inlast we can add it , which makes the whole process easier.

According to Distributive property it helps to solve the complex problems easily either they are of 2 digit or many more . Distributive property multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

In other words, according to the distributive property, an expression of the form A (B+C) can be solved as A (B+ C) = AB + AC.

This property applies to subtraction as well.

A (B –C) = AB – AC

For example :- 19 X 6

= 10 X 6 + 9 X 6

= 60 + 54

= 114

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Two ordered pairs 45 is x^2 + y^2, 12 is x - y.An ordered pair is made up of the x (abscissa) and y (ordinate) coordinates, with two values stated in a certain order inside parenthesis.

Explanation:

45 = x^2 + y^2,

12 = x - y.

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The area of rhombus is 100m²

What is rhombus ?

A rhombus is a quadrilateral with four equal-length sides in planar Euclidean geometry. The term "equilateral quadrilateral" refers to a quadrilateral whose sides all have equal lengths.

A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus.

A quadrilateral with four equal sides that has the shape of a diamond is called a rhombus. In everyday life, rhombus-shaped objects can be seen. In the illustration below, two instances of rhombuses in nature are shown: a diamond and a kite.

The area of rhombus is

A = pq / 2

The  value of p is 10 and q is 20

A = (10 * 20) / 2

  = 100m²

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The probability to get the numbers greater than 2 from the outcomes of  the event of rolling a single fair die is equal to P(A) = 2/3.

As given in the question,

Event is rolling a single fair die.

Number of fair die to be rolled = 1

Possible outcomes =  { 1, 2, 3, 4, 5, 6 }

Total number of possible outcomes = 6

Numbers greater than 2 on rolling a single fair die = { 3, 4. 5,6 }

Number of favourable outcomes = 4

Probability of getting a number greater than 2

= (Number of favourable outcomes) / (Total number of outcomes)

= 4 / 6

= 2 / 3

Therefore, the probability of getting a number greater than 2 while rolling a single fair die is equal to 2 / 3.

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