Given:
Desmond deposits $ 50 monthly.
Yearly he deposits = $50×12 = $ 600
Rate of interest compounded monthly = 4.7%
To find the amount he will receive after 10 years and the rate of change the value of his account after 10 years.
Formula
where,
A be the final amount
P be the principal
r be the rate of interest
t be the time and
n be the number of times the interest is compounded.
Now,
Taking,
P = 600, r = 4.7, n = 12, t = 10 we get,
or, 
or, 
Now,
At starting he has $ 600
At the end of 10 years he will be having $ 959.1
So,
The amount of change in his account = $ (959.1-600) = $ 359.1
Therefore the rate of change = 
= 59.85%
Hence,
a) His account will contain $ 959.1 after 10 years.
b) The rate of change in his account is 59.85% after 10 years.
Answer:
F. 6 x 22
Step-by-step explanation:
- 6 has more than two factors ( 1, 6, 2, 3), which makes it a composite number.
- 22 has more than two factors (1, 22, 2, 11), which makes it a composite number.
- Therefore, F is the correct answer.
Answer:
x = -27
Step-by-step explanation:
Answer with Step-by-step explanation:
Suppose that a matrix has two inverses B and C
It is given that AB=I and AC=I
We have to prove that Inverse of matrix is unique
It means B=C
We know that
B=BI where I is identity matrix of any order in which number of rows is equal to number of columns of matrix B.
B=B(AC)
B=(BA)C
Using associative property of matrix
A (BC)=(AB)C
B=IC
Using BA=I
We know that C=IC
Therefore, B=C
Hence, Matrix A has unique inverse .
Answer:
see explanation
Step-by-step explanation:
(b)
30n - 12 ( factor out the gcf 6 from each term )
= 6(5n - 2) ← in factored form
(c)
6x + 9y ( factor out the gcf 3 from each term )
= 3(2x + 3y) ← in factored form
