Pamela made a profit of $3250 after selling stocks for $10500 after 4 years. What was her average annual percentage gain?

Another way to write the equation is 7x + 54 = 0

Given the equation;

\(\frac{7}{8}x + \frac{3}{4} = -6\)

Find the LCM on the left side, which is 8

\(\frac{7x + 6}{8} = -6\)

Cross multiply

\(7x + 6 = -6\) × \(8\)

\(7x + 6 = -48\)

Collect like terms

\(7x = -48 - 6\)

\(7x = -54\)

Take all to one side

\(7x + 54 = 0\)

Thus, another way to write the equation is 7x + 54 = 0

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The required equation for number of miles and years for the car is given as; y = 19000x + 41000

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The parameters are;

Suppose the year 2020 represents x = 0.

The distance travelled per year can be taken as the slope of the linear  equation. Thus, slope = 19000.

And, the distance travelled by January 1, 2020 is 41000.

This tells us that for x = 0, y = 41000.

The linear equation in slope intercept form is given as;

y = mx + c

where;

m is slope

c is y-intercept

Substitute the corresponding values in the above equation to obtain,

y = 19000x + c

At x = 0, y = 41000

41000 = (19000 × 0) + c

c = 41000

Now, the equation can be written as,

y = 19000x + 41000

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Answer:

GOTCHU BROO

1.

a) sin 36° = 0.5878 (rounded to 4 decimal places)

b) cos 14° = 0.9703 (rounded to 4 decimal places)

c) tan 86° = -11.4301 (rounded to 4 decimal places)

2.

a) To find the measure of angle A when sin A = 0.6018, you can use the inverse sine function (sin^(-1)) to find the angle. Using a calculator, sin^(-1)(0.6018) ≈ 37.12° (rounded to the nearest degree).

b) To find the measure of angle B when cos B = 0.9205, you can use the inverse cosine function (cos^(-1)) to find the angle. Using a calculator, cos^(-1)(0.9205) ≈ 23.33° (rounded to the nearest degree).

c) To find the measure of angle C when tan C = 0.0349, you can use the inverse tangent function (tan^(-1)) to find the angle. Using a calculator, tan^(-1)(0.0349) ≈ 1.99° (rounded to the nearest degree).

The simplified form of the given algebraic expression is 3x²√5x. The correct option is с. 3x²√5x

From the question, we are to simplify the given algebraic expression.

The given expression is

√45x^5

First, we will write the given expression properly

The expression written properly is

√45x⁵

Simplifying

√45 × √x⁵

√9×5 × √x⁴×x

√9 × √5 × √x⁴ × √x

3 × √5 × x² × √x

3 × x² × √5 × √x

3x² × √5×x

3x² × √5x

3x²√5x

Hence, the simplified expression is 3x²√5x

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The solutions are: x = ln(2) for 2eˣ = 4,  x = ln(25)/4 for e⁴ˣ = 25, x = ln(72) for eˣ = 72 and x = ln(124)/3 for e³ˣ = 124.

To solve these equations using natural logarithm, we can use the following rules:

Using these rules, we can solve the given equations as follows:

2eˣ = 4

Divide both sides by 2 to get

eˣ = 2.

Take the natural logarithm of both sides to get

ln(eˣ) = ln(2).

Using rule 1 above, we can simplify ln(eˣ) to x, and we get

x = ln(2).

e⁴ˣ = 25

4x = ln(25).

Divide both sides by 4 to get

x = ln(25)/4.

eˣ = 72

Take the natural logarithm of both sides to get

x = ln(72).

e³ˣ = 124

Take the natural logarithm of both sides to get

3x = ln(124).

Divide both sides by 3 to get

x = ln(124)/3.

For the second set of equations, we use the same rule as above

So, we have

ln(x - 3) = 2

x - 3 = e²

x = e² + 3.

x ≈ 10.389.

Therefore, the solution is x ≈ 10.389.

ln(2t) = 4

2t = e⁴

t = 0.5 * e⁴

t ≈ 27.299.

Therefore, the solution is t ≈ 27.299.

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The worst case complexity for the algorithm is O(n²)

In the worst case, every time we call the function findmin(list)

where list of length n, it will take  O(n)  operations.

For simplicity we can assume it will take n operations.

Since in each call , list decreases in one element  until it is finally empty.

the number of operations in the while loop is:

n(n-1)+(n-2)+....2+1 = n(n+1)/2= (n²+n)/2

Therefore the worst case complexity for the algorithm is O(n²).

Thus, time complexity is the number of activities a calculation performs to get done with its responsibility (taking into account that every activity requires some investment). The calculation that plays out the undertaking in the most modest number of activities is viewed as the most effective one regarding the time complexity.

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Answer:

the answer is 54522

Step-by-step explanation:

hope it helps

Answer:

it is 54522 hope it helps

Answer:

0.800 kg

Step-by-step explanation:

Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

The expressions that are equivalent to 3^8 are:

We have to solve these out

3^8. = 6561

From the options

A. 3^2x3^4

= 9 x 81

= 729

B  3²x3^6

= 9 x 729

= 6561

C.  3^16/3^2

= 43046721/9

= 4782969

d. 3^12/3^4

= 531441 / 81

= 6561

E.  (3^4)²

= 3⁴ x 3⁴

= 3⁴⁺⁴

= 3⁸

= 6561

F. (3¹)^7

= 3⁷

= 2187

The expressions that are equivalent to 3^8 are:

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Answer:

m>-7

Step-by-step explanation:

expand

-10m+15-4<81

-10m+11<81

collect like terms

-10m<81-11

-10m<70

m>-7

Answer:

B. c║d

Step-by-step explanation:

If they equal each other and their on different lines, then those lines are parallel.

Answer:

answer B (c is parallel to d)

Step-by-step explanation:

if angle 1 and angle 3 are equal, then they are corresponding angles.  Corresponding angles will always make the line they share a transversal, and a transversal (in this case, line a) can only be considered one if it passes through two parallel lines.

Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

Answer: B

Step-by-step explanation: Hope this helps:)

Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4

The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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Answer:

x=-4 and y=0

Step-by-step explanation:

Answer:

\(\boxed{x = -4~~and~~y = 0}\)

.

Step-by-step explanation:

Use elimination

-3x + 5y = 12

7x - 5y = -28  +

\(4x = -16\)

\(x = \frac{-16}{4}\)

\(x = -4\)

.

Subsitute the value of x to one of equations

\(-3x + 5y = 12\)

\(-3(-4) + 5y = 12\)

\(12 + 5y = 12\)

\(5y = 12 - 12\)

\(5y = 0\)

\(y = \frac{0}{5}\)

\(y = 0\)

.

Happy to help :)

Answer:

The Answer is B

Step-by-step explanation:

1/4 = 2/8

2/8 + 3/8 = 5/8

8/8 - 5/8 = 3/8

Answer:

Step-by-step explanation:

The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool

3 years: 1,591.81 or 1,592

4 years: 1,623.65 or 1,624

Let's begin by listing out the given information:

The figure is a square. A square is a 2D quadrilateral with 4 equal sides

Length = 3 ft

The area of a square is given by:

Answer:

y=5x

Step-by-step explanation:

first, we know that a rising line's slope is always positive, so the first one is incorrect

let's figure out the slope: y-y'/x-x' is the formula.

now, -5-5/-1-1= -10/-2= 5. so the slope of this line is 5.

Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.

Step-by-step explanation:

Answer:

175 guests

Step-by-step explanation:

19 + 121 = 4/5x

140= 4/5x (multiply by the reciprocal of 4/5 to get x by itself: 5/4)

140 x 5/4 = x

x= 175

The function that best models this scenario is C of x equals 3.75 times x if x is less than 5 and 3.25x plus 5 if x is greater than 6.

Let the number of hours be illustrated as x. In this situation, local city park rents kayaks for $3.75 per hour. This will be:

= 3.75 × x

= 3.75x

Also, customer rents for four or more hours, the cost is only $3.25 per hour, plus a $5 processing fee. This will be illustrated as:

= 5 + (3.25 × x)

= 5 + 3.25x

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Answer:

you divide 4 into seven your answer would be 0.57142

the nearest thousanths is 1

the number beside 1 is 4 so you round off

4  but is less than five so you drop the 4 and remaining numbers and leave one as it is

Step-by-step explanation:

hope you understand good luck!

Answer:

7, 11, 13, 17, 19 and 23

Step-by-step explanation:

Answer:

7,11,13,17,23

hope it helps

thank you