Answer:
Option "D" is correct $3630
Step-by-step explanation:
At the beginning of the 7th year, the money has been in the account for 6 years.
The simple interest on $3000 at 3.5% for 6 years is I = prt:
(3000) = (.035) = (6) = 360
he amount in the account at the <u>beginning of the 7th year</u> is then the <u>original amount plus</u> the interest <u>$3630.</u>
Answer:
85/1
Step-by-step explanation:
because both numbers are divisible by 16
Answer:
The answer is 3093.
3093 (if that series you posted actually does stop at 1875; there were no dots after, right?)
Step-by-step explanation:
We have a finite series.
We know the first term is 48.
We know the last term is 1875.
What are the terms in between?
Since the terms of the series form a geometric sequence, all you have to do to get from one term to another is multiply by the common ratio.
The common ratio be found by choosing a term and dividing that term by it's previous term.
So 120/48=5/2 or 2.5.
The first term of the sequence is 48.
The second term of the sequence is 48(2.5)=120.
The third term of the sequence is 48(2.5)(2.5)=300.
The fourth term of the sequence is 48(2.5)(2.5)(2.5)=750.
The fifth term of the sequence is 48(2.5)(2.5)(2.5)(2.5)=1875.
So we are done because 1875 was the last term.
This just becomes a simple addition problem of:
48+120+300+750+1875
168 + 1050 +1875
1218 +1875
3093
2(x-6)=3(x+3)
Let's solve your equation step-by-step.
<span><span>2<span>(<span>x−6</span>)</span></span>=<span>3<span>(<span>x+3</span>)
</span></span></span>Step 1: Simplify both sides of the equation.
<span><span>2<span>(<span>x−6</span>)</span></span>=<span>3<span>(<span>x+3</span>)
</span></span></span><span>Simplify: (Show steps)
</span><span><span><span>2x</span>−12</span>=<span><span>3x</span>+9
</span></span>Step 2: Subtract 3x from both sides.
<span><span><span><span>2x</span>−12</span>−<span>3x</span></span>=<span><span><span>3x</span>+9</span>−<span>3x
</span></span></span><span><span><span>−x</span>−12</span>=9
</span>Step 3: Add 12 to both sides.
<span><span><span><span>−x</span>−12</span>+12</span>=<span>9+12
</span></span><span><span>−x</span>=21
</span>Step 4: Divide both sides by -1.
<span><span><span>−x/</span><span>−1</span></span>=<span>21/<span>−1
</span></span></span><span>x=<span>−21
</span></span>Answer:
<span>x=<span>−<span>21</span></span></span>
1 and .70. So that would be 1.7 I believe