Answer:
c=10 units
Step-by-step explanation:
The Pythagorean Theorem states that a^2+b^2=c^2.
This means that the sides are represented by a^2+b^2. In order to find the hypotenuse in this problem, we substitute a and b for 6 and 8.
6^2+8^2=c^2
we do what it shows us and get:
36+64=c^2
from there, we add the left side altogether then square each side to get rid of the root.
100=c^2
√100=√c^2
and we get c =<em> 10 units.</em>
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
2/12 1/12 i hope this is clear
