Answer:
$2191.12
Step-by-step explanation:
We are asked to find the value of a bond after 10 years, if you invest $1000 in a savings bond that pays 4% interest, compounded semi-annually.
, where,
,
r = Rate of return in decimal form.
n = Number of periods.
Since interest is compounded semi-annually, so 'n' will be 2 times 10 that is 20.
Therefore, the bond would be $2191.12 worth in 10 years.
1. Let's solve your equation step-by-step.
<span><span><span>4x</span>+5</span>=<span>6x
</span></span>Step 1: Subtract 6x from both sides.
<span><span><span><span>4x</span>+5</span>−<span>6x</span></span>=<span><span>6x</span>−<span>6x
</span></span></span><span><span><span>−<span>2x</span></span>+5</span>=0
</span>Step 2: Subtract 5 from both sides.
<span><span><span><span>−<span>2x</span></span>+5</span>−5</span>=<span>0−5
</span></span><span><span>−<span>2x</span></span>=<span>−5
</span></span>Step 3: Divide both sides by -2.
<span><span><span>−<span>2x/</span></span><span>−2 </span></span>=<span><span>−5/</span><span>−2
</span></span></span><span><span>
</span></span>Answer:<span>x=<span>5/<span>2</span></span></span>
Answer:
4.5, -27, 162,-972, 5832
Step-by-step explanation:
The given recursive definition is,
This will form a geometric sequence with first term 4.5 and common ratio r=-6.
When n=2, we have:
When n=3, we get:
When n=4, we get:
When n=5, we get:
Therefore the first five terms are:
4.5, -27, 162,-972, 5832
Answer:
A
Step-by-step explanation:
Because 6^3/6^6 is equivalent to 1/216.A is 1/36
<h3>
Answer: 680 different combinations</h3>
=======================================================
Explanation:
If order mattered, then we'd have 17*16*15 = 4080 different permutations. Notice how I started with 17 and counted down 1 at a a time until I had 3 slots to fill. We count down by 1 because each time we pick someone, we can't pick them again.
So we have 4080 different ways to pick 3 people if order mattered. But again order doesn't matter. All that counts is the group itself rather than the individual or how they rank. There are 3*2*1 = 6 ways to order any group of three people, which means there are 4080/6 = 680 different combinations possible.
An alternative is to use the nCr formula with n = 17 and r = 3. That formula is
where the exclamation marks indicate factorials