Answer:
6.7 * (10^7) = 67 000 000
Answer: it will take 13.3 years
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 = 6000
A = 10000
r = 4% = 4/100 = 0.04
n = 12 because it was compounded 12 times in a year.
Therefore,.
10000 = 6000(1 + 0.04/12)^12 × t
10000/6000(1 + 0.0033)^12t
1.67 = 1.0033^12t
Taking log to base 10 of both sides, it becomes
Log 1.67 = 12tLog 1.0033
0.223 = 12t × 0.0014
0.223 = 0.0168t
t = 0.223/0.0168
t = 13.3 years
Answer:
The circle's centre is at the position (3, 5), and it has a radius of 2
Step-by-step explanation:
First let's put it in a useful format by completing the squares:
x² + y² - 6x - 10y + 30 = 0
x² - 6x + y² - 10y = -30
x² - 6x + 9 + y² - 10y + 25 = -30 + 9 + 25
(x - 3)² + (y - 5)² = 4
This tells us that the centre position is (3, 5) and the radius is √4, or 2
Answer:
-sin(2A)
Step-by-step explanation:
1-(sin(A)+cons(A))^2
1-(sin(A)^2+2sin(A)cos(A)+cos(A)^2) :use FOIL to get it
1-(1+sin(2A))
1-1-sin(2A)
-sin(2A)
Answer:
The degrees of freedom associated with this problem are 16.
Step-by-step explanation:
The degrees of freedom associated with a problem, independent of the confidence level, is the sample size subtracted by 1.
In this problem, we have that:
She takes a random sample of 17 trucks, so the sample size is 17.
This means that the degrees of freedom associated with this problem are 16.