Answer:
1st is distributive and the 2nd is associate property of multiplication and the 3rd is also distributive :)
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the <span>1010</span>. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.<span>
1.35×<span>10^<span>5 is the answer. </span></span></span>
Answer:
a) Initial (Base) a = 30000
b) the monthly payment needs to $150
Step-by-step explanation:
Given the data in the question;
a. Give a recursive definition for a,. including the recurrence relation and the base case.
the annual interest on the loan is 6% compounded monthly;
⇒ i = 6% / 12
i = 0.5%
so, the recurrence relation is a = a( 1 + i/100) - 600
Here Initial (Base) a = 30000
b) Suppose that the borrower would like a lower monthly payment. How large does the monthly payment need to be to ensure that the amount owed decreases every month
Let p be the required monthly payment,
then the condition will be; a ≤ a
a( 1 + i/100) - p ≤ a
a( 1 + i/100) - a ≤ p
a( 1 + i/100 - 1) ≤ p
a( i/100 ) ≤ p
a ≤ p ( 100/i )
a ≤ p ( 100/0.5 )
a ≤ p (200)
we know that; a = 30000
so
30000 ≤ p (200)
p ≤ 30000 / 200
p ≤ 150
Therefore, the monthly payment needs to $150