The expression can be solved by expanding the bracket and multiplying out the terms


Therefore, the expression can be simplified as;

Alternatively, using the theorem of difference of two squares, which is

Hence,

1. I think the underlined number is 2. So It will be hundredths.
2. (8 x 100) + (6 x 10) + (3 x 1) + (1/10) + (4/100) + (1/1000)
Or 800 + 60 + 3 + 0.1 + 0.04 + 0.001
Answer:
E. 19
Step-by-step explanation:
z = (5)(11)(2·2·7)(2·19)
z = 2³·5·7·11·19
The greatest prime factor is 19.
Answer: 50 square yards
Step-by-step explanation:
From the question, we are informed that Kevin wants to cover a rectangular floor that is 15 feet by 30 feet with carpeting.
The first thing to do is to convert the measurement that were given to yards. We should note that 1 yard = 3 feet
15 feet = 15/3 = 5 yards
30 feet = 30/3 = 10 yards
Area = 5 × 10 = 50 square yards
Answer:
d) $8,100
Step-by-step explanation:
Given information:
- Money triples every 10 years
- Initial deposit = $100
- Number of years invested = 40 years
If the money triples (multiplies by 3) every 10 years,
then in 40 years time it will triple <u>4 times</u>, as 40 ÷ 10 = 4
⇒ Account balance after 40 years = $100 × 3 × 3 × 3 × 3
= $100 × 3⁴
= $8,100
<u>Proof</u>
In 10 years time the balance of the account will be:
$100 x 3 = $300
In another 10 years time, the balance of the account will be:
$300 x 3 = $900
In another 10 years time, the balance of the account will be:
$900 x 3 = $2700
In another 10 years time, the balance of the account will be:
$2700 x 3 = $8100