Marissa deposited $3,900 into a savings account. How much will Marissa have in her account after 7 years and 6 months at a yearly simple interest rate of 1.82%

Answer:

Looks like all of your questions have been answered.

The intervals of each behavior of the function are given as follows:

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Answer:

30 and 60 degrees

Step-by-step explanation:

30 and 60 are complementary angles. 60 is two times the measure of its complementary angle, or 30. 60+30=90.

Complementary angles are angles that add up to 90 degrees.

Angle one = x

Angle two = 2x

2x + x = 90 degrees

Combine like terms.

3x = 90 degrees.

Divide both sides by 3

x = 30

Angle one = x = 30 degrees

Angle two = 2x = 2(30) = 60 degrees.

The angle LKN in the rhombus is 62 degrees.

A rhombus is a quadrilateral that has 4 sides equal to each other. The sum of angles in a rhombus is 360 degrees.

Opposite angles are equal in a rhombus. The diagonals bisect each other at 90 degrees. Adjacent angles add up to 180 degrees.

Therefore, let's find ∠LKN as follows:

m∠JMN = (-x + 69)

m∠LMJ = (-6x + 166)

Therefore,

1 / 2 (-6x + 166) = -x + 69

-3x + 83 = -x + 69

-3x + x = 69 - 83

-2x = -14

x = -14 / -2

x = 7

Therefore,

∠LKN = 1 / 2 (-6x + 166)

∠LKN = 1 / 2 (-6(7) + 166)

∠LKN = 1 / 2 (-42 + 166)

∠LKN = 62 degrees

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The productivity of each worker is measured dividing the total production by the worker's hourly salary.

Then the difference in productivity is given by the subtraction of the productivity of the worker earning 7.25 by the productivity of the worker earning 21.

The productivity is measured applying the proportions in the context of the problem.

This is because the productivity of each worker is measured dividing the total production by the worker's hourly salary.

The problem is incomplete, hence the procedure to obtain the productivity of each worker is presented.

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Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

Step-by-step explanation:

hope you can understand

Answer:

Its the first graph ok kid

Step-by-step explanation:

Step-by-step explanation:

The length of the original cube is 5 inches.

Answer:

-3

Step-by-step explanation:

Answer:

I'm not positive but i thank -3

Step-by-step explanation:

I might be rong

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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Answer:

a)9. b) 12

Step-by-step explanation:

a) | -6 -3 | .

-6-3 = -9

|-9| =9

b) | 0 - 12 |.

0-12=-12

|-12|=12

Answer: the answer is b=9

Step-by-step explanation:

Step 1: Subtract 32 from both sides.

104-32= 72

Step 2: Divide both sides by 8.

72 divided by 8 is 9

therefor the answer is 9

Step-by-step explanation:

the slope-intercept form is

y = ax + b

with "a" being the slope, and "b" being the y-intercept (the y- value when x = 0).

so, we have

y = x - 8

Answer:

x>-3

Step-by-step explanation:

Answer:

x > 3

Step-by-step explanation:

The commutative sets of transformations are two translations, refelction over the y-axis, dilation with center (2,2) and two reflections over the x-axis​. B, D, and E.

The sets of transformations that result in the same image when performed in any order are called "commutative."

A set of transformations is commutative if the order of the transformations doesn't matter;

Performing the transformations in a different order still results in the same final image.

Based on this definition can select the commutative sets of transformations from the given choices:

Translation and dilation with center (0,0) are not commutative.

The order of the transformations matters.

Two translations are commutative.

The order of the transformations doesn't matter.

Vertical translations and reflection over the y-axis are not commutative. The order of the transformations matters.

Reflection over the y-axis and dilation with center (2,2) are commutative.

The order of the transformations doesn't matter.

Two reflections over the x-axis are commutative.

The order of the transformations doesn't matter.

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Answer:

2sqr3, the first option

Step-by-step explanation:

Answer: -27

Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.

3, 9, -3, 3, -9, -3, -15, -9, -21, ?

We can start by looking at the differences between consecutive terms in the list:

9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12

Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:

-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21

Therefore, we predict that the most probable next number in the list is -27.

The level of Justine be after translation of lift remains same as initial condition,

⇒ level = 6.

Given that,

Justin is at 6th floor

Therefore,

In initial condition the level of Justine = 6

Now lift went 3 levels upward direction

Add the 3 to the initial level of Justine,

Then the level of Justine after such translation of lift = 6 + 3 = 9

Now lift went 3 levels downward

Now subtracting 3 form the level of Justine after moving upward,

Then the level of Justine after such translation downward = 9 - 3

                                                                                                  = 6

Then the final level of Justine after such translation of lift remains same as 6.

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

All i got was 3√23+4x−96

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

parentheses exponents multiplication division addition subtraction

The given equation is

First, we subtract 2 from each side

Then, we divide the equation by 4

Answer:

All conjecture postulates and theorems prove a logical argument.

This is my opinion

Step-by-step explanation:

Theorems are the basics of mathematics.

They are verified multiple times in past.

They are certified by all famous mathematicians of world.

Some famous theorems are

The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.

To determine the bearing from the phone to the transmitter, we can use trigonometry.

The bearing is typically measured clockwise from the north direction.

Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.

The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.

Using the tangent function, we can calculate the angle:

tangent(angle) = (opposite side) / (adjacent side)

tangent(angle) = 21 km / 13 km

Taking the inverse tangent (arctan) of both sides, we find:

angle = arctan(21 km / 13 km)

Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.

However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:

bearing = 90 degrees - 58.57 degrees

Calculating this, we find the bearing to be approximately 31.43 degrees.

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Answer:

C. the next fraction is 243/324

Step-by-step explanation:

In A, we can see that 12/16 does not fall under the sequence.

In B, all the values in the sequence is 0.75.

In C, the next fraction is determined by multiplying numerator and  denominator by 3. therefor the correct solution is found.

In D, its wrong and does not match.

Check option C

Hence option C is correct as all are equal in this sequence

Answer:

B

Step-by-step explanation:

(base x height)/2 = (2.9 x 8.1)/2 = 11.7 cm^2

Answer:

B

Step-by-step explanation: