H = 6. if you were to plug in 6 and simplify, if would be 2/3.
Answer:
Step-by-step explanation:
rate = 3.5% per month
A) Six days later the bank calculated the daily interest.
so, time = 6 days
= 6 / 30 = 1/5 month
simple interest 

=35%
B) For $5000, t = 1 month
For $2000, t = 20 / 30 = 2/3 month
For $8000, t = 16/30 months
Simple interest for $5000

$175
Simple interest for $2000

=$46.67
Simple interest for $8000

=$149.33
Total amount in account at the end of 30 days is
= $5000 + $175 + $2000 + $46.67 + $8000 + $149.33
= $15371
<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>
Step 2: Substitute:<span>
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.
Add [2] and [3]:<span>
</span><span>2<span>x^2</span>=<span>75/32
</span><span>x^2</span>=<span>75/74</span></span>
<span>x=±5</span></span>√3/8<span>
Substitute into [2]:<span>
</span><span><span>75/64</span>+<span>y^2</span>=<span>50/32
</span><span>y^2</span>=<span>25/64</span></span>
<span>y=±<span>5/8</span></span>
</span>
</span>
685,000,000 would be the right number. Hope this helps!
Answer:
a) 
b) 
Step-by-step explanation:
a) 
1. Distribute the second power (2) outside the first pair of parenthesis:

= 
2. Distribute the third power (3) outside the second pair of parenthesis:

= 
3. Combine like terms:

--------------------------------------------
b) 
1. Factor the number 6 (= 2 · 3):

2. Cancel the common factor (2):

3. Cancel out
in the numerator an denominator:

hope this helps!