Solve the following for x
(2x-5)°

The time required to get a total amount of $5,900.00 with compounded interest on a principal of $5,000.00 at an interest rate of 5.75% per year 2.899 years

Given Data

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 5.75/100

r = 0.0575 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(5,900.00/5,000.00) / ( 4 × [ln(1 + 0.0575/4)] )

t = ln(5,900.00/5,000.00) / ( 4 × [ln(1 + 0.014375)] )

t = 2.899 years

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Answer:

\(y-2=\displaystyle -\frac{3}{4}(x-1)\)

OR

\(y=\displaystyle -\frac{3}{4}x+\frac{11}{4}\)

Step-by-step explanation:

Hi there!

Point-slope form: \(y-y_1=m(x-x_1)\) where m is the slope of the line and \((x_1,y_1)\) is a given point

Given that the slope is -3/4, we can plug it into \(y-y_1=m(x-x_1)\) as m:

\(y-y_1=\displaystyle -\frac{3}{4}(x-x_1)\)

We can also plug in the given point (1,2):

\(y-2=\displaystyle -\frac{3}{4}(x-1)\)

Slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

To write the equation in slope-intercept form, isolate y:

\(y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}\)

I hope this helps!

Answer:

See explanation

Step-by-step explanation:

The place to begin in attempting to solve a quadratic equation is to try to factorize it. If it can not be factorized, then look at the side of equation that contains the variable (x,b,m,n and so on). If that side is a perfect square, try to take square root of both sides.

Also, if the coefficient of the squared term in the equation is 1 and the coefficient of the middle term bearing the variable is an even number, then you can attempt to use completing the square method. Formula method can be adopted as a last resort.

x^2 -4x + 4 =0 can be solved by factorization

X(x-2) - 2(x-2) =0

Hence;

(x-2) (x-2) =0

x= 2 (twice)

(2x-2)^2 = 4 can be solved by taking square root

√[(2x-2)^2] = √4

2x-2 = 2

x= ±2

x^2 + 6x - 11 = 0 can be solved by completing the square

(x + 3)^2 = 11 + 3^2

(x + 3)^2 = 20 taking square root of both sides

x + 3 = ±√20

x + 3 = ±2√5

x= -3 ±2√5

2x^2 - x + 5 = 0 can be solved by formula method

Using

x= -b±√b^2 - 4ac/2a

a= 2, b = -1, c= 5

x= 1 ± √1 - 40/4

x= 1 ± √-39/4

x= 1 ± 39i/4

Answer:

6 3/8 ft tall

Step-by-step explanation:

Multiply the girl's height by 1 1/2 to find the boy's height.

1 1/2 * 4 1/4 =

(1+1/2) * (4+1/4) =

(2/2+1/2) * (16/4+1/4) =  ==> make common denominators to simplify  

                                            the sum of the fractions

((2 + 1)/2) * ((16 + 1)/4) =

(3/2) * (17/4) =  ==> simplify

(3*17) / (2*4) =

51/8 =  ==> make this into a mixed fraction

(48 + 3)/8 =   ==> 48 is a multiple of 8

48/8 + 3/8 = ==> simplify

6 + 3/8 = 6 3/8 ft tall

Answer:

Step-by-step explanation:

45 pounds cost 245 dollars

1 pound costs x

Set up a proportion

45/1 = 245 / x              Cross Multiply

45x = 245                    Divide by 45

45x/45 = 245/45

Answer x = $5.44

Answer:

A

Step-by-step explanation:

7(x+4)<= 2(x-5)+3(x+9)

7x+28<= 2x-10+3x+27

7x+28<= 5x+17

-5x         -5x

2x+28<= 17

-28         -28

2x<= -11

/2      /2

x<= -5.5

Answer:

5

Step-by-step explanation:

The mean represents an average of all the numbers, so we have \(\frac{sum-of-all-numbers}{total-amount-of-numbers}\). Although that may seem confusing, it's actually pretty easy.

We have a total of five numbers, which are 1, 6, 2, 7, and 9.

We add these numbers up to find the sum, so 1 + 6 + 2 + 7 + 9 = 25

So our final answer will be \(\frac{25}{5}\) which can be simplified to 5.

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer: A Map Scale.

Step-by-step explanation:

A Map Scale is the relationship with the ground.

Answer:

The answer is 12

Step-by-step explanation:

You are correct in solving the equation.

Remember, when you divide by a fraction, you multiply by the reciprocal. So ultimately, the equation would be

6*2

which would then equal 12

Answer:

To verify the answer with a model, you could show

✔ 6

circles.

Each circle would be divided into

✔ 2

equal parts.

✔ 12

parts would be shaded.

Step-by-step explanation:

The length of CD is 26.1 cm.

Given a quadrilateral ABCD which is shown in attached image.

The sum of interior angles of a quadrilateral is equals to 360 degree. For a regular quadrilateral, each angle is equals to 90 degree.

BDC is a triangle and angles in a triangle sum up to 180° .

Therefore, to find ∠BDC

180 - 102° + 52°  = ∠BDC

180 - 154 = 26°

∠BDC = 26°

Angle ABD can be found same way since sum of interior angles in a triangle is 180°.

∠ABD  = 180 - 90 - 35

∠ABD = 55°

Side BD can be find as follows

sin 35° = opposite/hypotenuse

sin 35° = 12/BD

BD sin 35° = 12

BD = 12/sin 35°

BD = 12/0.57357643635

BD = 20.9213615475

BD ≈ 21 cm

Using sine formula we can find side CD

21/sin 52° = CD/sin 102°

CD sin 52° = 21 sin 102°

CD = 21 sin 102°/sin 52°

CD = 0.97814760073  × 21/0.7880107536

CD = 20.5410996154 /0.7880107536

CD = 26.0670295696

Hence, the length of CD is 26.1 cm from the given quadrilateral ABCD which is shown in attached images.

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Answer:

the second one

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

it's answer is D. 33°

Let the unknown angle be x Then.

x + 100° + 47° = 180° [ being sum of angles of triangle ]

x + 147° = 180°

x = 180° - 147°

x = 33°

Step-by-step explanation:

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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The graph of the equation x + 2 would be a straight line that starts at the point (-2, 0) and goes up 2 units on the y-axis. So, the line would pass through the point (0,2) and would be parallel to the x-axis.

The graph of the equation 3x when x is 2 would be a straight line that starts at the point (0,0) and goes up 6 units on the y-axis for each 1 unit on the x-axis. So, the line would pass through the point (2,6) and would have a slope of 3.

In mathematics, a diagram is a visual representation of mathematical concepts or ideas. Diagrams can take many forms, such as graphs, charts, illustrations, and figures, and can be used to help explain or understand mathematical concepts.

For example, a graph is a type of diagram that is used to represent the relationship between two variables. It is commonly used in algebra and calculus to show the relationship between an independent variable (x-axis) and a dependent variable (y-axis).

A chart is a type of diagram that is used to organize and present data. It is commonly used in statistics to show the distribution of data or to compare different sets of data.

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To solve this problem, we can use the formula for probability:

P(event) = number of favorable outcomes / total number of outcomes

First, let's find the total number of outcomes. We are selecting 4 balls from 11 without replacement, so the total number of outcomes is:

11C4 = (11!)/(4!(11-4)!) = 330

where nCr is the number of combinations of n things taken r at a time.

Now let's find the number of favorable outcomes for each part of the problem.

Part 1: Exactly two white balls and two red balls

To find the number of favorable outcomes for this part, we need to select 2 white balls out of 6 and 2 red balls out of 5. The number of ways to do this is:

6C2 * 5C2 = (6!)/(2!(6-2)!) * (5!)/(2!(5-2)!) = 15 * 10 = 150

So the probability of selecting exactly two white balls and two red balls is:

P(2W2R) = 150/330 = 0.45 (rounded to two decimal places)

Part 2: At least two white balls

To find the number of favorable outcomes for this part, we need to consider two cases: selecting 2 white balls and 2 red balls, or selecting 3 white balls and 1 red ball.

The number of ways to select 2 white balls and 2 red balls is the same as the number of favorable outcomes for Part 1, which is 150.

To find the number of ways to select 3 white balls and 1 red ball, we need to select 3 white balls out of 6 and 1 red ball out of 5. The number of ways to do this is:

6C3 * 5C1 = (6!)/(3!(6-3)!) * (5!)/(1!(5-1)!) = 20 * 5 = 100

So the total number of favorable outcomes for selecting at least two white balls is:

150 + 100 = 250

And the probability of selecting at least two white balls is:

P(at least 2W) = 250/330 = 0.76 (rounded to two decimal places)

Answer:

Change the sign

Step-by-step explanation:

Asumming you are talking about the keep change flip method for dividing fraction, you would 1) keep 3/1, 2) flip the / symbol into * and 3) flip the 2nd fraction

Answer:

Step-by-step explanation:

X: -2, -1, 0, 1, 2,...

Y: -2, -1, 0, 1, 2,...

(y=x)

Answer:

4 years

Step-by-step explanation:

The relationship c(x) = 4.5+ 0.32x it is a linear relationship.

The factor 0.32 is used to reduce the cost of the weight before adding to the fixed cost of  4.5

Given data

c(x) = 4.5+ 0.32x

The relationship c(x) = 4.5+ 0.32x it is a linear relationship.  It can be compared to the equation of a straight line which is

y = mx + c

m is the slope and c is the y intercept

The comparison shows that

y = c(x)

c = 4.5

m = 0.32

If the cost is related with the relationship c(x) = 4.5+ 0.32x.

it can be seen that even when there is no weight or no salad that is at    x = 0 the cost is c = 4.5.

This means that there is a fixed cost of 4.5 for any salad weight, in ounces bought.

The factor 0.32 is used to reduce the cost of the weight before adding to the fixed cost of  4.5.

The 0.32 is a reduction factor because the value is less than 1 and will reduce any number it multiplies.

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Answer:

he buys 40 juice boxes

Step-by-step explanation:

Answer: good boy good boy

Answer:

The lines do not intersect, it is parallel therefore there is no solution.

Step-by-step explanation:

Answer:

Step-by-step explanation:

if the system of linear equation has no solution means that the lines do not intersect so they to not have any points in common ( there are  no points that belong to both lines in the same time)

Think of equation as a rule and system of equation as two or more rules that have to be followed in the same time .

If you are asked to look in a parking lot full of cars and find what cars have

rule 1 -red color  ( equation 1) and rule 2- is a truck ( equation 2) the cars you find are the solution of this system because the rules are true in the same time

Answer:

Step-by-step explanation:

4(30+5)

4(30)+4(5)

120+20

140

Answer:

480

Step-by-step explanation: