Answer:
$-1465.5
Step-by-step explanation:
Complete question
Every month, Ms. Thomas pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car loan each month. At the end of the year, her savings account balance changed by −$2,931 from payments made on her car loan. Describe the total change to Ms. Thomas’ savings account balance after making six monthly payments on her car loan. Model your answer using a number sentence.
Given the following
Savings balance (after 1 year) =
−$2,931
If she pays the same amount on her car loan each month, we are to find the total change to Ms. Thomas’ savings account balance after making six monthly payments on her car loan, this can be expressed as;
$x = 6months savings
Solving both equalities
Savings balance (after 1 year) =
−$2,931
Since 1year = 12months
-$2,931 =12months savings
$x = 6months savings
To get the total savings after 6months we will find x by cross multiplying;
12×x = -2931×6
Divide through by 12
12x/12 = (-2931×6)/12
x = -2931/2
x = -1465.5
Hence Ms. Thomas' savings account balance after making six monthly payments on her car loan is $-1465.5
1) Inequality
2) Equation
Step-by-step explanation:
We need to identify the correct description
1) 7x+9<25
The sign < is called greater than and is an inequality symbol
So, the given term is an Inequality
2) 2x-3=5x+12
This is an equation because we equal (=) sign in it.
Solving the equation we can find value of x.
So, the given term is an Equation
Keywords: Solving Equations
Learn more about Solving Equations at:
#learnwithBrainly
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.
Answer:
Step-by-step explanation:
