Answer:
46 years 1 month
Step-by-step explanation:
Let us assume the investment is a simple interest investment
The simple interest formula is
A= P(1+rt)
Given
Principal p= $1400
Rate r= 7.75%= 7. 75/100= 0.0775
Final amount A = $6400
Time t=?
To find the time t let us substitute our values in the simple interest formula
6400= 1400(1+0.0775t)
6400= 1400+108.5t
6400-1400=108.5t
5000= 108.5t
t=5000/108.5= 46.08
t= 46.1 years
It will take approximately 46 years 1 month to get the amount
Answer:
27.47059
Step-by-step explanation:
Just use a calculator :^
Answer:
The speed of a wave depends on the characteristics of the medium. For example, in the case of a guitar, the strings vibrate to produce the sound. The speed of the waves on the strings, and the wavelength, determine the frequency of the sound produced. The strings on a guitar have different thickness but may be made of similar material. They have different linear densities, where the linear density is defined as the mass per length,
μ
=
mass of string
length of string
=
m
l
.
In this chapter, we consider only string with a constant linear density. If the linear density is constant, then the mass
(
Δ
m
)
of a small length of string
(
Δ
x
)
is
Δ
m
=
μ
Δ
x
.
For example, if the string has a length of 2.00 m and a mass of 0.06 kg, then the linear density is
μ
=
0.06
kg
2.00
m
=
0.03
kg
m
.
If a 1.00-mm section is cut from the string, the mass of the 1.00-mm length is
Δ
m
=
μ
Δ
x
=
(
0.03
kg
m
)
0.001
m
=
3.00
×
10
−
5
kg
.
The guitar also has a method to change the tension of the strings. The tension of the strings is adjusted by turning spindles, called the tuning pegs, around which the strings are wrapped. For the guitar, the linear density of the string and the tension in the string determine the speed of the waves in the string and the frequency of the sound produced is proportional to the wave speed.
Hope it is helpful to you
Answer:
The height of the rectangular prism is 7.5 inches
Step-by-step explanation:
- The rule of the volume of a rectangular prism is
V = l w h, where V is the volume, l is the length of the base of
the prism, w is the width of the base of the prism, and h is the
height of the prism
- The volume of the prism is 300 inches³
- The length of the base of the prism is 5 inches
- The width of the base of the prism is 8 inches
- We need to find the height of the prism
∵ V = 300 inches³
∵ l = 5 inches
∵ w = 8 inches
∵ V = l w h
- Substitute the values of l, w, V in the rule above
∵ 300 = 5 × 8 × h
∴ 300 = 40 h
- Divide both sides by 40
∴ h = 7.5 inches
* The height of the rectangular prism is 7.5 inches
