Answer:
Step-by-step explanation:
Answer: it will take 17.5 years to double his money in the account.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $500
A = 500 × 2 = $1000
r = 4% = 4/100 = 0.04
n = 4 because it was compounded 3 times in a year.
Therefore,.
1000 = 500(1 + 0.04/4)^4 × t
1000/500 = (1 + 0.01)^4t
2 = (1.01)^4t
Taking log of both sides, it becomes
Log2 = 4tlog 1.01
0.301 = 4t × 0.0043 = 0.0172t
t = 0.301/0.0172
t = 17.5 years
Seven less than the quotient of a number and 12 is 4 and 3.
The cubic centimeter one container can hold is 2,878.33 cm³.
<h3>What is the cubic centimeter one
container can hold ?</h3>
In order to determine the cubic centimeter one container can hold, the volume of the container has to be determined.
Volume of the container = volume of the cylinder + (2 x volume of the hemisphere)
Volume of the cylinder = πr²h
Where:
- π = 3.14
- r = radius
- h = height
3.14 x 5² x 30 = 2355 cm³
Volume of a hemisphere = (2/3) x π x r³
2 x (2/3 x 3.14 x 5³) = 523.33 cm³
Volume of the container = 523.33 cm³ + 2355 cm³ = 2,878.33 cm³
To learn more about the volume of a hemisphere, please check: brainly.com/question/26840364
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C) no solution
use desmos.com to help with these problems
Answer:
y = 5x
Step-by-step explanation:
The y intercept is 0 since it crosses the y axis at 0
The slope is rise over run
From (0,0) we go up 5 and to the right 1
5/1 = 5
Slope = 5
The slope intercept equation is
y = mx+b where m is the slope and b is the y intercept
y = 5x+0
y = 5x
