Samir's statement shows a previous balance of $5,336.22, a payment of $607, and a
new transaction totaling $186. What is his new balance if his APR is 29.0%? Round
answer to hundredths place if answer does not have a hundredths place this use
zeros so it does. Do not include the units. Be sure to attach work for credit
Your Answer:

Answer:

MP = 19

Step-by-step explanation:

17+3y=5y+9

or, 17-9 = 5y-3y

or, 8=2y

so, y = 2

Now,

MP = 5y+9

or, MP = 5×2+9

or, MP = 10+9

so, MP = 19

A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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Answer:

The perimeter of a square is given by the formula P = 4s, where s is the side length. In this case, we are given that the perimeter is (12x - 32) feet, so we can set up an equation:

P = 4s

(12x - 32) = 4s

To solve for s, we can divide both sides by 4:

(12x - 32)/4 = s

Simplifying the expression on the left:

3x - 8 = s

Therefore, the expression in simplest form that represents the side length of the square wrestling mat is 3x - 8 feet.

Answer:

Step-by-step explanation:

the answer would be 3 x − 8 3x-8 3x−8 ft

Thus, the perimeter of the shown triangle using the distance formula is found as  13.45 units.

A path that encircles a region is referred to as a perimeter. Adding the lengths of every one of the sides together is the simplest formula for calculating the perimeter. The word circumference, that only encompasses a circle's perimeter, is used to describe the distance around a circle.

Given that:

Perimeter = sum of all sides

Perimeter = AB + BC + CA

Estimate each distance using the distance formula:

d = √(x2 - x1)² + (y2 - y1)²

AB = √(1 - 5)² + (5 - 3)²

AB = √(-4)² + (-2)²

AB = √(16 + 4)

AB = √20

BC = √(3 - 1)² + (0 - 5)²

BC = √(2)² + (-5)²

BC = √(4 + 25)

BC = √29

CA = √(5 - 3)² + (3 - 0)²

CA = √(2)² + (3)²

CA =  √(4 + 9)

CA = √13

Perimeter = AB + BC + CA

Perimeter = √20 + √29 + √13

Perimeter = 4.47 + 5.38 + 3.60

Perimeter = 13.45 units.

Thus, the perimeter of the shown triangle using the distance formula is found as  13.45 units.

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Answer:

x = 35

Step-by-step explanation:

since the figures are similar then the ratios of corresponding parts are in proportion, that is

\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )

2x = 7 × 10 = 70 ( divide both sides by 2 )

x = 35

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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Answer: h -18 =14

Step-by-step explanation:

You need to plug in -18 into the equation. So h(-18)=17+(-18)/6

h(-18)=17-3

h(-18)=14

Answer:

\(x=\frac{5}{2}\)

Step-by-step explanation:

In order to solve for "x" we proceed to raise both sides of the equal sign to the power 2 in order to eliminate the root:

\(\sqrt{2x-5} = 0\\(\sqrt{2x-5})^2 = 0^2\\2x - 5=0\\2x = 5\\x=\frac{5}{2}\)

Therefore, if the time is between 8:00 a.m. and 3:00 p.m., then people may make withdrawals or deposits at the bank.

This conclusion is based on the given premises that the bank is open during the time between 8:00 a.m. and 3:00 p.m. and that when the bank is open, people may make withdrawals or deposits. By combining these premises with modus ponens (a valid form of deductive reasoning), we can infer that if the time is within the bank's operating hours, then people may make withdrawals or deposits at the bank.

Answer:

-1 or 7

Step-by-step explanation:

brainliest plss

y = 1/3x - 21 is the equation of the line in slope-intercept form.

What is a slope?

Slope is a measure of the steepness or incline of a line. It describes how much the dependent variable (usually y) changes for a given change in the independent variable (usually x).

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

We are given that the slope is 1/3 and that the line passes through the point (3, -20). We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

where (x1, y1) is the point through which the line passes, and m is the slope. Plugging in the values we have:

y - (-20) = 1/3(x - 3)

Simplifying this equation:

y + 20 = 1/3x - 1

Subtracting 20 from both sides:

y = 1/3x - 21

This is the equation of the line in slope-intercept form.

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Answer:

below

Step-by-step explanation:

12 hours is  .5 day   so a total of 3.5 days

2100 w-h / 3.5 d = 600 w-h per day

Answer:

X = 18

y = 9

Step-by-step explanation:

Basically the 2 diagnols bisect each other making them congruent. so that makes

x-3 = 15 and y + 3 = 12

simplify and

the. you simplify and get x = 18 and y =9

Answer:

2 hours 6 minutes

Step-by-step explanation:

40% of 315 is 126 [miles]

126 miles = 126 minutes, since he went at 60 miles per hour [one mile per minute]

126 minutes = 2 hours 6 minutes

So, 2 hours 6 minutes, or 126 minutes.

Answer:

4y - 5x + 7 = 0

Step-by-step explanation:

To get to the equation of its perpendicular, firstly we'll need the slope of this line.

\( \boxed{ \mathfrak{slope = \red{ \mathsf{ \frac{y_{2} - y _{1}}{x_{2} - x _{1}} }}}}\)

(x1, y1) and (x2, y2) are any two points kn the given line.

I caught two points that lie on this graph, and they are :

\( \mathsf{ \implies \: slope = \frac{y_{2} - y _{1}}{x_{2} - x _{1}} }\)

\(\mathsf{ \implies \: slope = \frac{ - 6- 2}{8 - ( - 2)} }\)

\(\mathsf{ \implies \: slope = \frac{ -8}{8 + 2} }\)

(two minus make a plus)

\(\mathsf{ \implies \: slope = \frac{ -8}{10} }\)

\(\mathsf{ \implies \: slope = \frac{ \cancel{-8} {}^{ \: \: - 4} }{ \cancel{10} \: \: {}^{5} } }\)

slope = -4 /5

That's the slope of the given line.

Now, the slope of the line perpendicular to this one will be equal to its negative reciprocal.

slope (perpendicular) = 5/ 4

and they've given a point that lies in the perpendicular, it is = (3, 2)

For equation of a line thru a point, we have:

\( \boxed{ \mathsf{ \red {y} - {y}^{1} = slope \times (\red{x} - {x}^{1} }) }\)

the letters in red are the variables that won't be changed thruout.

and (x¹, y¹) are the points on the line.

\( \implies \mathsf{y - 2 = \frac{5}{4} \times (x - 3) }\)

\( \implies \mathsf{(y - 2)4 = 5x - 15}\)

\( \implies \mathsf{4y - 8 = 5x - 15}\)

\( \implies \mathsf{(4y - 5x) - 8 + 15 = 0}\)

\( \implies \mathsf{4y - 5x + 7 = 0}\)

and thats the required equation of the perpendicular.

The standard deviation for this set of data is approximately 2.85.

To find the standard deviation, we first need to take the square root of the variance. Therefore, the standard deviation for the given data set is the square root of 8.1, which is approximately 2.846.
To find the standard deviation of a set of data when the variance is given, you simply need to take the square root of the variance. In this case, the variance equals 8.1.
Step 1: Identify the variance, which is 8.1.
Step 2: Take the square root of the variance.
Standard Deviation = √(Variance) = √(8.1)
Step 3: Calculate the square root of 8.1.
Standard Deviation ≈ 2.85
So, the standard deviation for this set of data is approximately 2.85.

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Answer:

There are four (4) different terms

Step-by-step explanation:

Given;

2x + 3xy - (x + y) + 2

The terms are simplified as follows;

=2x + 3xy - (x + y) + 2

= 2x + 3xy - x - y + 2

collect like terms;

= 2x - x  - y + 3xy + 2

= x - y + 3xy  + 2

Thus, there are four (4) different terms in the simplified expression.

the length of the patio is x = 12 feet.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees. Area of rectangle is A = a*b

A = x(x - 8)

48 = x(x - 8)

Expanding the right-hand side, we get:

48 = x^2 - 8x

Bringing all the terms to one side, we get:

x^2 - 8x - 48 = 0

This is a quadratic equation that can be factored as:

(x - 12)(x + 4) = 0

Therefore, either x - 12 = 0 or x + 4 = 0. Solving for x in each case, we get:

x = 12 or x = -4

Since the length of a patio cannot be negative, we reject the solution x = -4.

Therefore, the length of the patio is x = 12 feet.

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Answer:

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

The distance is 710000 km and the first spaceship has travelled 110000 km in the first hour.

The remainder of the distance is reducing by:

Time to travel before they meet:

Add the first hour to this to get total travel time of 4 hours.

Answer:

B. feet/second

Step-by-step explanation:

The units for Ali's final answer will be feet per second.

By identifying the base quantities and units of measure for each physical quantity and tracking these dimensions as calculations or comparisons are made, the dimensional analysis examines the relationships between various physical quantities.

Given that Ali performed the following dimensional analysis to convert a rate of 72 mph.

The units will be calculated as below:-

72 miles/1 hour x 5280 feet/1 mile x 1 hour/60 minutes x 1 minute/60 seconds = 105.6

Miles and miles will cancel out now hour and hour will also be canceled out now the remaining unit will be feet per second.

Therefore, the unit for Ali's final answer will be feet per second.

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Answer:

y=x/14+1

Step-by-step explanation:

3(2x-4y) +14-2y=5x

6x-12y+14-2y=5x

6x-14y+14=5x

x+14=14y

x/14+1=y

And dude I feel ur pain no one is responding to my questions :(

Samir's new balance is $5,044.17.

To calculate Samir's new balance, add the previous balance, subtract the payment, add the new transaction, and multiply by the interest rate for one period. The following formula can be used to calculate the interest for a single period:

balance * APR / 12 = interest

where APR stands for annual percentage rate and 12 represents the number of months in a year.

When we apply this formula to Samir's balance and APR, we get:

5336.22 * 0.29 / 12 = 128.95 in interest

As a result, the total new balance is:

5336.22 - 607 + 186 + 128.95 = 5044.17

We get the following when we round to the nearest hundredth:

$5,044.17

As a result, Samir now has a balance of $5,044.17.

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Given the system of equations

Multiply the first equation by 2 and add it to the second equation, as shown below

Thus,

It is impossible that 0=10; thus, the system of equations does not have solutions, both lines are parallel

The values of tht missing part of the triangle are;

A= 20.9°

a = 13.06

c = 33.6

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side c

sinB/b = sinC/c

sin45.9/26.30 = sin113.2/c

csin 45.9 = 26.30 × sin113.2

0.718c = 23.90

c = 23.90/0.718

c = 33.6

Angle A = 180-(113.2+ 45.9)

angle A = 20.9°

sinA/a = sinB/b

sin20.9/a = 0.718/26.30

0.357 × 26.30 = 0.718a

a = 9.389/0.718

a = 13.06

Therefore A = 20.9°

a = 13.06

c = 33.6

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9514 1404 393

Answer:

  a. 1/3

Step-by-step explanation:

The rational root theorem tells you possible rational roots will be of the form ...

  ±(factor of 3)/(factor of 15)

Which will be any of ±{1,3}/{1,3,5,15} = {±1/15, ±1/5, ±1/3, ±3/5, ±1, ±3}.

Of these, 1/3 is one of the available choices.

Answer:

The range is [-7,0] or -7<×<0

Step-by-step explanation:

The easiest way to remember range is to correspond it with he maximum and the minimum of the graph.

Given:

Required:

We want to find the quadrant in which the given is true

Explanation:

As we know that

so by the image is 4th quadrant sin and tan function is negative

Final answer:

d

Answer:46

Step-by-step explanation:

The amount of outdoor carpet needed is 40 ft².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Area of a rectangle = length × width.

The amount of square feet of outdoor carpet needed

= area of the largest rectangle in the image - (area of medium rectangle + area of the smallest rectangle)

The amount of square feet of outdoor carpet needed

= 12 × 4 - (3 × 2 + 2 × 1)

= 48 - (6 + 2)

= 40 ft²

Thus, 40 ft² outdoor carpet needed.

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Answer:

0.693

Step-by-step explanation:

In 2 = 0.69314718

       =0.693

Answer:2+3

Step-by-step explanation:

The required expression that is equivalent to 5-3 is 5 + (-3).

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
In addition, rule, when two values are added and found that the value in outcome is lower than any of the added values, then the expression is given as,

= a + (-b)

where, -b is the negative real number,

So for the given question,
addition expression for 5 - 3 is 5 + (-3)

Thus, the required expression that is equivalent to 5-3 is 5 + (-3).

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