1/4(8x+12)=-15 ''solve''

The total amount accrued, principal plus interest, with compound interest on a principal of $12,000.00 at a rate of 14% per year compounded 12 times per year over 5 years is $24,067.32.The amount of the initial loan, or principal, is multiplied by one plus the annual interest rate raised to the number of compound periods minus one to determine compound interest.

To begin, change R from a percentage to a decimal, using the formula:

r = R/100 r = 14/100

r = 0.14 rate per year;

Next, find A by solving

A = P(1 + r/n)nt A = 12,000.00(1 + 0.14/12)(12). (5)

A = 12,000.00(1 + 0.011666666666667)(60) (60)

A = $24,067.32

Summary: The total amount accrued, principal plus interest, with compound interest on a principal of $12,000.00 at a rate of 14% per year compounded 12 times per year over 5 years is $24,067.32.

The amount of the initial loan, or principal, is multiplied by one plus the annual interest rate raised to the number of compound periods minus one to determine compound interest. You will then be left with the loan balance plus compound interest.

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Miguel drove at a speed of 60 mph in the first part of the trip and at a speed of 50 mph in the second part of the trip.

Let the speed while dropping his son to college be x mph

Therefore speed while returning is (x - 10) mph

The distance is 300 mi

Speed = Distance/Tie

or, Time = Distance/Speed

Hence the time taken during the first part of the journey = 300/x hrs

and,

Time taken for the next part of the journey

= 300/(x - 10) hrs

It is given that the total time taken was 11 hrs

Hence we get

300/x + 300/(x - 10) = 11

or, (300x - 3000 + 300x) / x(x - 10) = 11

or, (600x - 3000) / (x² - 10x) = 11

or, 600x - 3000 = 11x² - 110x

or, 11x² -710x + 3000 = 0

Applying the shreedharacharya rule gives us

x =  (710 ± √(710² -132000)/22)

x = 50/11 or x = 60

If x = 50/11 then x - 10 will be negative.

hence x = 60

Therefore Miguel drove at a speed of 60 mph in first half and 50 mph in second half.

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Using the velocity, the rocket reaches its maximum height at 3.25 seconds.

In the given question we have to find the maximum height at the rocket reaches.

From the question; a toy rocket is shot vertically into the air from a launching pad 5 feet above the ground with an initial velocity of 104 feet per second.

The height h in feet of the rocket above the ground at t seconds after launch is given by the function h(t)= -16t^2+104t+5.

As we know that at the maximum height, the velocity will be zero.

So the given function of the heigth is

h(t)= -16t^2+104t+5

Velocity(v) = dh(t)/dt = -32t+104

As the maximum height v=0

-32t+104 = 0

Subtract 104 on both side, we get

-32t= -104

Divide by -32 on both side

t= 3.25 seconds

Hence, the rocket reaches its maximum height at 3.25 seconds.

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⇒ Is 4x + 7y divisible by 2?⇔ This question simply is asking you if there is a possibility that you can take out the highest common factor of 2 in the expression 4x+7y.

⇒ We cannot take out the highest common factor of 2 in this expression since there is the term 7y that has the coefficient 7 which is NOT divisible by 2. the expression 4x+7y

cannot be written in the form a(b+c)

⇒∴ 4x + 7y is not divisible by 2

If you want me to clarify more in this question please say so as soon possible so that I can make time for you.

Answer:

Step-by-step explanation:

663.98

Answer: 663.98

Step-by-step explanation:

(8.42*109)=917.78

(2.35*108)=253.8

917.78-253.8=663.98

Answer:

Consider the right triangle below: State the Pythagorean Theorem as it relates to the above triangle. List the trig identities as they relate to the triangle above. Now suppose hypotenuse C represents a vector R, while sides B and A represent vector components Rx and Ry respectively. Redraw the triangle with the new labels below. Using Pythagorean Theorem, derive the equation for R.

Answer:

Step-by-step explanation:

You want the value of p(x)=5x^3+6x^2+4x for x=-5 and x=15.

Writing a polynomial in Horner form can simplify evaluation.

  p(x) = ((5x +6)x +4)x

  p(-5) = ((5(-5) +6)(-5) +4)(-5) = (-19(-5) +4)(-5) = 99(-5) = -495

  p(15) = ((5(15) +6)(15) +4)(15) = (81(15) +4)(15) = 1219(15) = 18285

The lengths for the missing side of each case, determined by the use of trigonometric functions, are listed below:

Case D: 50.513

Case E: 46.165

Case F: 2.052

In this problem we have three cases of right triangles, each of which has an unknown side length. Each length can be found by using trigonometric functions. Now we proceed to determine it for each case:

Case D

tan 29° = 28 / x

x = 28 / tan 29°

x ≈ 50.513

The missing side length is approximately 50.513 units.

Case E

tan 18° = 15 / x

x = 15 / tan 18°

x ≈ 46.165

The missing side length is approximately 46.165 units.

Case F

cos 70° = x / 46

x = 46 · cos 70°

x ≈ 2.052

The missing side length is approximately 2.052 units.

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Answer:

14.

Step-by-step explanation:

The interquartile range (IQR) contains the second and third quartiles or the middle half of your data set.

Please give brainliest, will be appreciated.

Answer:

The interquartile range (IQR) measures the spread of the middle half of your data.

The function has a maximum value of 30 at x = 3.

Given Function:

f(x) = -3+18x+3

here a = -3 , b = 18 , c = 3

a is negative so it has maximum value

x = -b/2a

= -18/2*(-3)

= -18/-6

= 18/6

= 3

f(x) = -3* + 18*3 + 3

= -3*9+54+3

= -27+54+3

= 27+3

= 30

Therefore the function has a maximum value of 30 at x = 3.

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With the help of angles we can say that ∠HJI=∠FJG.

Acc to our question-

Hence, ∠HJI≅∠FJG are equal and congruent.

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The value of missing number is 8.

Integers come in three types:

Given:

6(-?)+1=-47

let the unknown value be x.

6(-x ) + 1= -47

Now, Subtract 1 from both side

-6x + 1 - 1= -47 - 1

-6x = -48

x= -48/(-6)

x = 8

Hence, -6(8) + 1 = -47.

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The equation of the line that passes through the point (8, 6) and has a slope of 0 is  y = 8.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the equation of the line passes through the point (8, 6) and has a slope of 0.

Therefore,

m = 0

Hence, let's find the y-intercept using the (8, 6)

y = mx + b

6 = 0(8) + b

b = 8

Therefore, the equation is y = 8

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That aint no question

Answer:

XY = 12.4 cm

Step-by-step explanation:

a² + b² = c²

(4 cm)² + (XY)² = (13 cm)²

16 cm² + XY² = 169 cm²

XY² = 153 cm²

XY = √(153 cm²)

XY = 12.4 cm

Answer:7

Step-by-step explanation:

yabba dabba doo

The equation of the line that passes through the points (-2,-6) and (1,2) is y = 8x/3-2/3.

According to the question,

We have the following information:

Points through which line is passing =  (-2,-6) and (1,2)

Now, we have the following values:

x1 = -2, y1 = -6

x2 = 1 and y2 = 2

We know that the following formula is used to find the slope of the line:

m = (y2-y1)/(x2-x1)

m = (2+6)/(1+2)

m = 8/3

Now, the following formula is used to find the equation of the line:

y-y1 = m(x-x1)

y+6 = 8/3(x+2)

y+6 = 8x/3+16/3

Subtracting 6 from both sides:

y = 8x/3+16/3-6

y = 8x/3-2/3

Hence, the equation of the line that passes through the points (-2,-6) and (1,2) is y = 8x/3-2/3.

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Answer:

t =2.45s

Step-by-step explanation:

H=-16t2+96t

then, -16t2= -96t

divide both sides by 16

-16t2/16 = -96t/16

-t2 = -6

t2=6

t=√6

t=2.45

An matrix A is a nilpotent matrix if there exists a positive integer k such that Ak is the zero matrix.

acc to our question-

Hence,An matrix A is a nilpotent matrix if there exists a positive integer k such that Ak is the zero matrix.

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The equation of the parabola with the vertex (3,5) in the form of f(x)=a(x-h)^2+k is f(x)=7(x-3)^2+5.

In the given question we have to find the equation of parabola in the form of f(x)=a(x-h)^2+k

The given function is f(x)=7x^2.

The given vertex = (3,5)

The equation of the parabola with the vertex of (h,k) is

y=a(x-h)^2+k

On comparing we get; a=7, h=3, k=5

Now putting the value

f(x)=7(x-3)^2+5

Hence, the equation of the parabola with the vertex (3,5) in the form of f(x)=a(x-h)^2+k is f(x)=7(x-3)^2+5.

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The positive slope is tilted towards the right on a coordinate plane and the negative slope is tilted towards the left on the coordinate plane.

When two variables have a positive slope, it means that they are positively correlated; that is, when x rises, y rises as well, and when x falls, y falls as well. A line on a line graph that has a positive slope rises as the line advances from left to right.

A line that slopes downward from left to right is said to have a negative slope. In other words, the rise-to-run ratio of the line is negative.

The graph of the two real-life situations is attached with the answer below. In which the equation y = 4x means that the value of y is increasing by 4. Similarly, the equation for negative slope is y = -4x means that the value of y is increasing in opposite direction by factor 4.

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The price of one kilogram of jelly bean and gummy worms is $7 and $8 respectively.

Let the price of 1 kilogram of jelly bean cost be x

and the price of 1 kilograms of gummy worms be y

Dean bought 2 kilograms of jelly beans and 3 kilograms of gummy worms

for $38

2x + 3y = 38......equation 1

Sue bought 3 kilograms of jelly beans and 3 kilograms of gummy worms

for $45

3x + 3y = 45........equation 2

Subtracting equation 2 from equation 1

2x + 3y - (3x + 3y) = 38 - 45

2x - 3x + 3y - 3y = -7

-x = -7

x = 7

2(7) + 3y = 38

14 + 3y = 38

3y = 24

y = 8

Therefore, the price of one kilogram of jelly bean and gummy worms is $7 and $8 respectively.

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1. The pairs of polygons are similar.

2. The pairs of polygons are not similar.

3. The missing measure is of x = 5.2.

4. The missing measure is of x = 16.

5. The value is AB = 6.

6. The perimeter of the yellow tile is of 240 cm.

7. The value is DF = 0.75.

Similar polygons are polygons that share these two following features:

Hence, for itens 1 and 2, we have that:

For item 3, the side lengths are proportional, hence:

x/2.6 = 8/4

x/2.6 = 2

x = 2 x 2.6

x = 5.2.

Same as item 4, hence:

x/10 = 9.6/6

x/10 = 1.6

x = 16.

For item 5, considering the equivalent side lengths, we have that:

AB/8 = 12/16

AB/8 = 3/4

AB = 24/4

AB = 6.

The perimeter of the yellow tile is of 240 cm in item 6, as the ratio between the side lengths is of 3, hence the ratio of the perimeters will also be of 3, then:

3 x 80 cm = 240 cm.

For item 7, we have that:

DF/3.4 = 2.25/9

DF = 3 x 2.25/9

DF = 0.75.

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Answer:

Step-by-step explanation:

x² + (x + 2)² = (x + 3)²

x² + x² + 4x + 4 = x² + 6x + 9

x² - 2x - 5 = 0

[tex]x_{1}[/tex] = [tex]\frac{-(-2)+\sqrt{4+20} }{2}[/tex] = 1 + √6 ≈ 1 + 2.45 = 3.45 units

[tex]x_{2}[/tex] = [tex]\frac{-(-2)-\sqrt{4+20} }{2}[/tex] = 1 - √6 < 0 can not be solution of the given problem.

x ≈ 3.4 units

x + 2 ≈ 5.4 units

x + 3 ≈ 6.4 units

The largest area of the rectangle is 6502.5 square feet.

Given that,

Using fence parallel to one of the rectangle's sides, a cattle rancher wants to surround a rectangular area and divide it into four pens (see the figure below). To finish the task, 510 feet of fencing are available.

We have to find what could the four pens' combined total area be.

We know that,

The rectangular shape's length is l and its width is b.

Total fencing= 2l + 5b=510 feet

2l +5b =510 feet

We can write as,

l=1/2(510-5b)

Total area of the rectangle is length into breath

A(b) = l × b

A(b) = 1/2(510-5b)×b

A(b)= 1/2(510b -5b²)

For maximum area

A'(b)=0

1/2(510b -5(2b))=0

b=51

We get l as

l = 1/2(510-5b)

l = 1/2(510-5(51))

l = 127.5

Total area of the rectangle is 127.5 × 51

Total area of the rectangle is 6502.5 square feet.

Therefore, The largest area of the rectangle is 6502.5 square feet.

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Option A is the correct choice (0.04)

The incidence rate of disease x among persons exposed to factor a is 0.04

The frequency of a particular incident over a predetermined time period is measured by the incidence rate or incidence. In the corporate world, sampling, surveys, and product testing can all be used to calculate an incidence rate.

Because 120 divided by the total number of exposed people yields the occurrence rate for disease X among those who have been exposed.

The incidence rate would be 4 per 100 people if multiplied by 100, however, this statistic is not specifically specified.

Therefore, those who were exposed to factor a had an incidence risk of disease x of 0.04

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COMPLETE QUESTION:

6,750 people who were free of disease X were enrolled in a cohort study in 1985 and followed by annual exams and interviews through 1995. Exposure to factor A was determined at study enrollment and the participants were followed until 1995 to observe new cases of disease X. Data from the study at the end of the follow-up are shown in the following table. What is the incidence rate of disease X among persons exposed to factor A? Exposure to Factor A People with Disease X People without Disease X Not Exposed 30 3,720 Exposed 120 2,880

Select one:

a. 0.04

b. 0.19

c. 0.25

d. 4.00

e. 5.17

The radius of each of the smaller balls is R = 2r.

You can use a tape measure, for instance, to directly measure the distance around the sphere's widest point. The radius of this circle, which serves as the sphere's circumference, is one. A circle's circumference is computed as 2 x x radius. Since the cross-section of the sphere is a circle, the volume in this case is dependent on the diameter of the sphere's radius. The area or region of a sphere's outer surface is known as its surface area. We can use the following formula to get the volume of a sphere whose radius is "r": A sphere's volume is equal to 4/3r³.

Given,

A steel ball is melted down to make eight smaller identical balls. If the radius of the original steel ball was 20 cm:

Let the spherical ball's radius be R.

And with r being the radius of 8 similar balls,

According to the inquiry,

Volume of 8 similar balls = the volume of a larger sphere

3/4πR³ = 8 × 3/4πr³

R³ = 8r³

R = 2r

The radius of each of the smaller balls is R = 2r.

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The ordered pair (5, −6) is a solution to the first and second equations because it makes both equations true.

In mathematics, a linear equation is one that may be written in the form where the variables are alphabets, and the coefficients are frequently real integers. An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

The given system of equations is

x + y = -1          ......(1)

3x - y = 21       ......(2)

Rewrite equation (1)

y = - x - 1        ......(3)

Put equation (4) in equation (3)

3x -(-x -1) = 21

3x + x + 1 = 21

4x = 20

x = 20/4

x = 5

Put x= 5 in equation (3)

y = - 5 - 1

y = - 6

So, both the options are correct, (5, -6) is the solution of both equations.

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