100 POINT QUESTION
Compound Interest: Determine the
amount of the investment if the original
$1000 were invested at a rate of 8%
compounded quarterly for 6 years

Answer:

d

Step-by-step explanation:

HOPE THIS HELPS...

Hooke's law is a law of physics that states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, Fs = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. The law is named after 17th-century British physicist Robert Hooke. He first stated the law in 1676 as a Latin anagram.[1][2] He published the solution of his anagram in 1678[3] as: ut tensio, sic vis ("as the extension, so the force" or "the extension is proportional to the force"). Hooke states in the 1678 work that he was aware of the law since 1660.

Hooke's equation holds (to some extent) in many other situations where an elastic body is deformed, such as wind blowing on a tall building, and a musician plucking a string of a guitar. An elastic body or material for which this equation can be assumed is said to be linear-elastic or Hookean.

Hooke's law is only a first-order linear approximation to the real response of springs and other elastic bodies to applied forces. It must eventually fail once the forces exceed some limit, since no material can be compressed beyond a certain minimum size, or stretched beyond a maximum size, without some permanent deformation or change of state. Many materials will noticeably deviate from Hooke's law well before those elastic limits are reached.

On the other hand, Hooke's law is an accurate approximation for most solid bodies, as long as the forces and deformations are small enough. For this reason, Hooke's law is extensively used in all branches of science and engineering, and is the foundation of many disciplines such as seismology, molecular mechanics and acoustics. It is also the fundamental principle behind the spring scale, the manometer, and the balance wheel of the mechanical clock.

The modern theory of elasticity generalizes Hooke's law to say that the strain (deformation) of an elastic object or material is proportional to the stress applied to it. However, since general stresses and strains may have multiple independent components, the "proportionality factor" may no longer be just a single real number, but rather a linear map (a tensor) that can be represented by a matrix of real numbers.

In this general form, Hooke's law makes it possible to deduce the relation between strain and stress for complex objects in terms of intrinsic properties of the materials it is made of. For example, one can deduce that a homogeneous rod with uniform cross section will behave like a simple spring when stretched, with a stiffness k directly proportional to its cross-section area and inversely proportional to its length.

Step-by-step explanation:

2x + 15° + x = 180° { Being co-interior angles }

3x = 180°- 15°

3x = 165°

x = 165° / 3

x = 55°

2x + 15° = 2 *55° + 15° = 125°

Hope it will help :)❤

Answer:

5.8

Step-by-step explanation:

2.5² + 5.2² = c² ≈ 5.8 units

Answer:

5.8

Step-by-step explanation:

√(2.5^2 + 5.2^2) = 5.77

5.77 to the nearest ones decimal point is 5.8

Answer:

We want to find the point where these two lines intersect:

Equation for Charles: y=0.25x

Equation for Wilma: y=0.05x+20

0.25x=0.05x+20

0.2x=20

x=100

So, Charles must use 100 gigabytes of data to equal Wilma's internet bill.

Let me know if this helps!

The number of gigabytes of data that must be used for Charles' internet bill to equal Wilma's internet bill is; 100 gigabytes

Let the amount of gigabyte of data be x.

Since Charles pays $0.25 per gigabyte of data, then the equation for Charles is; y = 0.25x

Wilma pays a flat fee of $20 and $0.05 per gigabyte and as such the equation for Wilma is; y = 0.05x + 20

For Charles' internet bill to equal Wilma's internet bill, Thus;

0.25x = 0.05x + 20

0.2x = 20

x = 20/0.2

x = 100

Thus, Charles must use 100 gigabytes of data to equal Wilma's internet bill.

Read more about equation intercepts at; https://brainly.com/question/26249361

Answer:

311

Step-by-step explanation:

11x13=143

14x12=168

143+168=311

Answer:

40 cm

Step-by-step explanation:

divide the length value by 10

400 / 10 = 40

Answer:

400 mm = 40 cm

Step-by-step explanation:

Answer:

Help with the answer or help understanding?

Step-by-step explanation:

Answer:

dsfsfafaf

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

72+3x=180

108=3x

x= 36

hope this helps

Answer: x=7

Step-by-step explanation: First, remove 3 from both sides by dividing. You will end up getting 9. Since 2x-5 = 9, add 5 from both sides by adding leaving you with 2x = 14. Divide 14 by 2 to get 7.

Answer:

3

Step-by-step explanation:

the graph intersects at (1,3) and its asking for y so its 3

Answer:

put A because if u see that

Step-by-step explanation:

×=100

1. Divded 35 by 14 and u get 0.4

2

Divided 40 by 0.4 and u get 100

Answer:

16

Step-by-step explanation:

You could solve it two ways:

Cross multiply:

x times 35 = 35x

40 times 14 = 560

35x divided by 35 = x

560 divided by 35 = 16

x = 16

Or:

35 divided by 14 = 2.5

40 divided by 2.5 = 16

x = 16

Answer:

A = 24t² + 2t

Step-by-step explanation:

The shaded area (A) is calculated as

A = area of outer square - area of rectangle

   = (5t)² - t(t - 2)

   = 25t² - t² + 2t

    = 24t² + 2t

Answer:

1 7/8 or 1.875 cups

Step-by-step explanation:

This can be solved by adding the 3 fractions together

[tex]\frac{5}{8} + \frac{5}{8} + \frac{5}{8}[/tex]

[tex]\frac{5 + 5 + 5}{8}[/tex]

[tex]\frac{15}{8}[/tex] = [tex]1\frac{7}{8}[/tex]

Since the 3 cups added are the same size, this can also be solved by multiplication

5/8 x 3 = 1.875 cups = 1 7/8 cups

Answer:

x = 13.5

Step-by-step explanation:

2/11 = 3/(3 + x)

6 + 2x = 33

2x = 27

x = 13.5

Answer:

[tex]b = \frac{x - 6}{x + 2} \\ b(x + 2) = x - 6 \\ bx + 2b = x - 6 \\ bx - x = - 6 - 2b \\ x(b - 1) = - 2(3 + b) \\ x = \frac{ - 2(3 + b)}{b - 1} [/tex]

Answer:

All you have to do is mark the 1 on the y-intercept and then use the rise over run for the slope. from the 1 on the y-axis, you would go up 6 and to the right 5.

Answer:

whats your question...?

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the answer is 2 ..........

Answer:

x=4

Step-by-step explanation:

Hey There!

So if DE is the midsegment then to find x you divide the length of AE by 2

8/2=4

Therefore x=4

Answer:

26 divided by 4= $6.50

Step-by-step explanation:

20+6=26

26 divided by 4 friends = they each paid $6.50

Answer:

(20 + 6) / 4 or 26 / 4 which equals $6.50

Step-by-step explanation:

Since their are 4 people you would divide the total cost by 4.

Answer:

a.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

c is correct , half of 63 is 31.5 and since the formulae for circumference is 2pir

then : 2×3.142 × 3.14 =197.82cm

Answer:

c. 8.359

Step-by-step explanation:

i hope this helps :)