Answer: the account earns interest of $40.16
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 = 875.83
r = 9% = 9/100 = 0.09
n = 12 because it was compounded 12 times in a year.
t = 6 months = 6/12 = 0.5 year
Therefore,.
A = 875.83(1+0.09/12)^0.5 × 12
A = 875.83(1+0.0075)^6
A = 875.83(1.0075)^6
A = 915.99
The interest that she earns is
915.99 - 875.83 = $40.16
the equation (y-3)^2 =4y-12
y = -7
Answer:Student calculation is incorrect
Step-by-step explanation :
Given the First stop is the 8th Avenue Coffee Shop, which is located 15 Blocks east and 22 blocks north of the central station
and the last stop on the route is 25 blocks west and 36 blocks south of the central station .
Lets take the First stop co-ordinates be (15,22)
and last stop co-ordinates (-25,-30)
So there mid-point is
Therefore middle stop is 5 blocks west and 4 blocks South
Thus calculated the middle stop incorrectly.
80, 20, 5,
The value of the common ratio of the sequence is,
⇒ 1 / 4
An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The sequence is,
⇒ 80, 20, 5,...
Now, We can find as;
The value of the common ratio of the sequence is,
⇒ 20 / 80
⇒ 1 / 4
Thus, The value of the common ratio of the sequence is,
⇒ 1 / 4
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