Answer: it will take 14 years
Step-by-step explanation:
A savings account is started with an initial deposit of $600. This means that the principal P is
P = 600
It was compounded annually. This means that it was compounded once in a year. Therefore,
n = 1
The rate at which the principal was compounded is 2.1%. So
r = 2.1/100 = 0.021
The duration of time that for which the money stayed in the account is t years. So
Time = t
The formula for compound interest is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years. Therefore,
a) the equation to represent the amount of money in the account as a function of time in years would be
A = 600 (1+0.021/1)^1×t
A = 600 (1.021)^t
b) the amount of time it takes for the account balance to reach $800 would be
800 = 600 (1.021)^t
Dividing both sides of the equation by 600, it becomes
1.33 = (1.021)^t
t = 14
The answer is the first one; it is an arithmetic sequence with a common difference of -40.
Answer:
Step-by-step explanation:
Given A = 5i + 11j – 2k and B = 4i + 7k, the vector projection of B unto a is expressed as
b.a = (5i + 11j – 2k)*( 4i + 0j + 7k)
note that i.i = j.j = k.k =1
b.a = 5(4)+11(0)-2(7)
b.a = 20-14
b.a = 6
||a|| = √5²+11²+(-2)²
||a|| = √25+121+4
||a|| = √130
square both sides
||a||² = (√130)
||a||² = 130
<em>Hence the projection of b unto a is expressed as </em><em></em>
Answer:
Absolute deviation is when you find the mean of a data set, then the difference between each number and the mean, then the average f the differences.
Step-by-step explanation:
Maddox: |10-9| = 1
Enrique: |10-13| = 3
Gloria: |10-9| = 1
McKenna: |10-10| = 0
Asher: |10-9| = 1
Hannah: |10-9| =
Danielle: |10-10| = 0
Katy: |10-10| = 0
Timothy: |10-11| = 1
Gentry: |10-9| = 1
Now you have the numbers: 1, 3, 1, 0, 1, 1, 0, 0, 1, 1,
Now find the mean of those numbers:
The absolute deviation is 1.