Pedro Romar's savings account statement shows a previous balance of $895.00 and $3.50 in interest. He made a deposit of $210.00 and had a withdrawal of $20.50. What is his new balance?

а. $1,088.00

b.$1,088.50

c. $1,098.00

d. $1,098.50

Answer:

B

Step-by-step explanation:

[tex]6(2x+4) - x^2+15-x\\=12x + 24-x^2+15-x\\=-x^2+24+15+12x-x\\=-x^2+11x+39[/tex]

The closest answer you have provided is B.

The equations of the line that passes though points (2,-1) and (8,4) are

The linear function written in the slope intercept form  form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

calculation of slope

The points used for the slope is gotten from the graph as (2,-1) and (8,4)

m = (y₂ - y₁) / (x₂ - x₁)

substituting the values

= (-1 - 4 ) / (2 - 8 )

= -4 / -6

= 2/3

using the point slope formula which is

(2, -1)

(y - y') = m(x - x')

(y - (-1)) = 2/3(x - 2)

y + 1 = 2x/3 - 4/3

y = 2x/3 - 4/3 - 1

y = 2x/3 - 7/3

(8,4)

(y - 4) = 2/3(x - 8)

y - 4 = 2x/3 - 16/3

y = 2x/3 - 16/3 + 4

y = 2x/3 - 28/3

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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:

cosФ = [tex]\frac{17}{25}[/tex]

Step-by-step explanation:

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

567 feet does the car travel before coming to a complete stop .

What is the definition of a velocity simple?

The direction of the movement of the body or the object is defined by its velocity. In its basic form, speed is a scalar quantity.

                        In essence, velocity is a vector quantity. It measures how quickly a distance changes. It is the displacement change rate.

vo = 48     v(t) = integral of a(t) plus vo, the initial velocity

a(t) = -2

v(t) = -2t + 48 = 0 when t= 21 seconds, the time to stop

s(t) = -t^2 +48t  

s(21) = -(21)^2 + 48(21) = 1008-441 = 567 feet

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If the correlation between variables a and b is +0.52, then it shows that as value on A increases, the value on B increases

The correlation between variable a and variable b = +0.52

The correlation is defined as the statistical variable that show the relationship between the variables. So when one variable increases another variable increase or if one variable decreases another variable decreases. So correlation show the the variable changes at constant rate.

In the given details

The correlation between variable a and variable b is +0.52. The sign of the correlation is positive so variable a is increasing and the variable b will also increases at constant rate

Therefore, the best interpretation of correlation is as value on A increases, the value on B increases

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The equation of the line is y = -2x + c

What is an equation ?

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right are shown to be equal in reference to one another.

To find the slope, use the two points (4.5,0) and (0,9) and substitute these in the slope formula:

m = [tex]\frac{(y_{2} - y_{1})}{(x_{2} - x_{1} )}[/tex]

   = (9 - 0) / (0 - 4.5)

   = -2

The equation of the line is

y = mx + c

y = -2x + c

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118°

The overall shape is a quadrilateral. meaning total angles on the inside = 360°

each side is equal and therefore both CDE and CFE are the same. 90 + 34 = 124

360 - 124 = 236

236/2 = 118 therefore you answer is 118°

Answer:

B. x = 5 +i√5  and    x = 5 - i√5

Step-by-step explanation:

Answer:

90% is the answer

Step-by-step explanation:

hope this helps.

Answer: x=26

Step-by-step explanation:

a^2+b^2=c^2

28.2^2-16^2=539.24

square root 539.24=23.2

23.2^2+11^2=659.24

square root 659.24=25.7

x=25.7 or 26

Answer: A. No, because two points with the same x-value have different y values.

Step-by-step explanation: A function is a relation in which each element in the domain (the set of x-values) is paired with exactly one element in the range (the set of y-values). If there are two points with the same x-value but different y-values, then there is more than one y-value for a given x-value, which violates the definition of a function. Therefore, the given relation is not a function.

In the online auction for an autograph, losing bid is 10 less than the winning bid.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Losing bid in online auction of Autograph = $40,

Also, Losing bid is 80% of the winning bid,

Let winning bid is 100%.

Therefore, winning bid is 20% more than losing bid.

Since,

80% = 40

20 % = 10

Hence, losing bid is 10 less than the winning bid.

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Answer:

x (in simple terms)< -11/7 or -1 4/7

Step-by-step explanation:

1) Place x on one side: The point of this is to islolate x (and to keep things simple make x a positive variable if you can). One way of doing this is adding 8x on both sides what we now get is 14 < 14x + 36

2) Subtract 36 on both sides: We doing this for the same reason as the 1st step which is to islolate x so after this the new equation is -22 < 14x

3) Divide 14 on both sides: Since we aren't dividing by a negative number the sign remains the same the answer is -22/14 < x or x> -22/14 but to simply find the greatest common factor for both the numberator and demonationr which is 2 and divide from there the answer is x> -11/7 or x> -1 4/7

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 coordinates of the point P that is 2/5 of the way from A to B are:

P = (-5.6, 11,2)

If we want to find a point that is 2/5 of the way between two points (x₁, y₁) and (x₂, y₂), then we need to use the formula:

( (3/5)x₁ + (2/5)x₂,  (3/5)y₁ + (2/5)y₂)

Here the two points are (-8, -2) and (6, 19), using the above formula we will get the point P:

P = ( (3/5)*-8 + (2/5)*-2,  (3/5)*6 + (2/5)*19)

P = (-5.6, 11,2)

These are the coordinates of the point P.

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The area of the circle-shaped rug is 379.94 square inches

The formula for calculating the area of a circle is expressed as;

Area = πr^2

Where;

From the information given, we have the value of the circumference as 69.08 inches

We need to find the value of the radius.

The formula for calculating the circumference of a circle is mathematically expressed as;

Circumference = 2πr

Where: r is the radius of the circle and π takes the value 3. 14

Now, substitute the value into the formula for circumference of a circle, we have;

69.08= 2(3.14)r

Divide both sides by the coefficient of r

r = 69.08/6. 28

r = 11 inches

Then, area = 3.14 × (11)^2

Area = 3.14 × 121

Area = 379.94 square inches

Hence, the value is 379.94 square inches

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Complete question:

Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 69.08 inches. Find the area

Answer:345321

Step-by-step explanation:

you said it?

(a) The fraction for the given percentage is 3% = 3/100 and its decimal number is 0.03.

(b) The fraction for the given percentage is 15% = 15/100 = 3/20 and its decimal number is 0.15.

Here the fractions 15/100 and 3/20 are equivalents.

Two fractions whose numerators and denominators are different but whose value is the same are said to be equivalent fractions.

For example, a/b = k and c/d = k. Then a/b = c/d.

The fractions a/b and c/d are equivalent fractions.

Given percentages are 3% and 15%.

A percentage is a ratio of the parts in the whole of 100 parts.

So, 3% = 3/100

This is nothing but a fraction.

To convert it into decimals, divide the numerator by the denominator. So, we get 3/100 = 0.03.

Similarly, for 15%, the fraction is 15/100

This fraction when divided by 5 in both numerator and denomiantor, we get (15/5)/(100/5) = 3/20

So, the fraction 3/20 is the equivalent fraction for the fraction 15/100 Since their values are the same i.e., 0.15. Thus, the decimal number for those fractions is 0.15.

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Answer: no

Step-by-step explanation: because 65x3=165 then it will be 9:30 already so she will be late by 30 minutes

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: 2.666666etc..

Step-by-step explanation:

Answer:

2.64

Step by step explanation

4/9=0.44

0.44×6=2.64

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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The rate of change of base is 5 cm/min.

The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity. In simple terms, in the rate of change, the amount of change in one item is divided by the corresponding amount of change in another. The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity.

Let us assume that

h = height of the triangle

[tex]\frac{dh}{dt}[/tex] = rate of increase of height = 1 cm/min

A = Area of triangle

[tex]\frac{dA}{dt}[/tex] = rate of increase of area = 13 cm²/min

Area of traingle, A = 1/2*(b*h)

When A = 12 cm² and h = 4 cm,

Put in above formula,

12 = 1/2 * (b)(4)

∴ b = 6 cm

A = 1/2 * b*h

[tex]\frac{dA}{dT} = \frac{1}{2}h\frac{db}{dt} + \frac{1}{2}b\frac{dh}{dt} \\\\13 = \frac{1}{2}*4* \frac{db}{dt} + \frac{1}{2}*6*1\\\frac{db}{dt} = 5 cm/min[/tex]

Thus, rate of change of base is 5 cm/min.

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After the linear equation method the answer is 6 Zoomas and 5 Popsies.

What is an linear equation?

Equations with the highest degree of 1 are called linear equations. This means that the exponent of the variable in the linear equation is greater than 1. The graph of a linear equation is always a straight line.

There is a linear equation in one variable and a linear equation in two variables.

It is given that there are two types of alien live on the planet Starlight Zoomas and Popsies.

Zoomas have 3 eyes and 2 legs

Popsies have 4 eyes and 5 legs

There are total 38 eyes and 37 legs

Let there are x number of Zoomas and y number of Popsies.

According to question:

3x + 4y = 38 ..........(1)

2x + 5y = 37 ...............(2)

Solve the above system of equation.

Find the value of x from the equation(1)

3x + 4y = 38

3x = 38 - 4y

x = [tex]\frac{38-4y}{3}[/tex]

Substitute this value of x in equation(2)

2( [tex]\frac{38-4y}{3}[/tex]) + 5y = 37

⇒ [tex]\frac{76-8y}{3}+5y = 37[/tex]

⇒ [tex]\frac{76-8y+15y}{3}=37[/tex]

⇒ 76 + 7y = 111

⇒ 7y = 111 - 76

⇒ 7y = 35

⇒ y = 35/7 = 5

Substitute this value of y in the value of x

x = [tex]\frac{38-4y}{3}[/tex]

x = [tex]\frac{38-4(5)}{3}=\frac{38-20}{3}=\frac{18}{3}=6[/tex]

Therefore, there are 6 Zoomas and 5 Popsies.

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Answer:

54 is the answer

Step-by-step explanation:

hope this helps

Answer:

54 is your answer

Step-by-step explanation:

the person above is right

Answer:

YES

Step-by-step explanation

it is just vocab words you probably have to study

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 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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The system of inequality that represents the weekly constraints on assembly and painting is;

5x + 4y ≤ 180

2x + 3y ≤ 135

We are told that;

x represents the number of Racing bikes.

y represents the number of Recreational bikes

It takes one person 5 hours to assemble a Racing bike and 2 hours to finish painting it.

It takes one person 4 hours to assemble a Recreational bike and 3 hours to finish painting it.

Assembly can take no more than 180 hours throughout the week. This means ≤ 180

Painting can take no more than 135 hours hours per week. This means ≤ 135. Thus, the inequalities are;

5x + 4y ≤ 180

2x + 3y ≤ 135

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