Answer:
Maximum volume error = ±540 cm³
Relative error = 0.02
Percentage error = 2%
Step-by-step explanation:
Relative error : The ratio of volume error to the total volume.
Percentage error: The product of relative error and 100.
The volume of a cube is = 
v =x³
Differentiate with respect to x
Here are x = 30 cm and dx= ±0.2 cm
∴ dv = 3×(30 cm)² (±0.2 cm)
=±540 cm³
The volume of the cube = 30³ cm ³ = 27,000 cm³
Then the relative error
= 0.02.
The percentage error
= (0.02×100)
=2%
Answer:
Bank A
Step-by-step explanation:
We find the Simple Interest for each Bank
Bank A
A savings account at bank A earns 5%
simple interest.
Where
P = $5,000.00
R = 5%
T = 2 years
Compound quarterly = 4
First, convert R percent to r a decimal
r = R/100
r = 5%/100
r = 0.05 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 5,000.00(1 + 0.0125/4)(4)(2)
A = $ 5,522.43
A = P + I where
P (principal) = $ 5,000.00
I (interest) = $ 522.43
For Bank B
P = $5,000.00
R = 4%
T = 2 years
Compound quarterly = 4
First, convert R percent to r a decimal
r = R/100
r = 4%/100
r = 0.04 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.01/4)(4)(2)
A = $ 5,414.28
A = $ 5,414.28
A = P + I where
P (principal) = $ 5,000.00
I (interest) = $ 414.28
Therefore, the bank that would give Gabriel more interest is Bank A
The required simplified expression for 9(m - 9) - 4(10m + 2) is -31m - 90.
Given that,
To rewrite in simplest terms: 9(m-9)-4(10m+2).
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Question asked to simplify the term 9(m-9)-4(10m+2).
= 9(m - 9) - 4(10m + 2)
= 9m - 81 - 40m - 8
= -31m - 90
Thus, the required simplified expression for 9(m - 9) - 4(10m + 2) is -31m - 90.
Learn more about simplification here: brainly.com/question/12501526
#SPJ1
Pierre ran 19 and 13/20 miles.
Given:
marathon length : 26 2/10 miles
pierre's length ran : 3/4 of the way.
Multiply the fractions.
Convert the marathon length from a mixed fraction into a fraction.
26 2/10 = ((26*10)+2)/10 = (260+2)/10 = 262/10
262/10 * 3/4 = (262*3) / (10*4) = 786/40 = 19 26/40
19 26/40 simplified to 19 13/20 miles
26 ÷ 2 = 13
40 ÷ 2 = 20
