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Stolb23 [73]
3 years ago
6

Jade invested $13,500 at 5.2% interest, compounded semiannually, and she wants to know how much her investment will be worth in

8 years
part 1: what is the periodic interest rate of jade investmentpart 2: how many compounding periods does jades investment offer in a year? how about in 8 years?
Mathematics
1 answer:
NeTakaya3 years ago
8 0
5.2% interest, compounded semiannually means 
<span>2.6% each 6 months because semi-annual is twice per year. </span>
<span>1 @ time zero = 1.026 at 6 months and (1.026)² in a year = 1.052676 or 5.2676% APR </span>
<span>8 years is 16 periods (1.026)^16 </span>
13500 time zero
13851 6m 1period 1/2 year
<span>14211.13 12m 2periods 1 year </span>
14580.62 18m 3periods
<span>14959.71 24m 4p 2y </span>
15348.66 30m 5p
<span>15747.73 36m 6p 3y </span>
16157.17 42m 7p
<span>16577.26 48m 8p 4y </span>
17008.27 54m 9p
<span>17450.48 60m 10p 5y </span>
17904.19 66m 11p
<span>18369.70 72m 12p 6y </span>
18847.31 78m 13p
<span>19337.34 84m 14p 7y </span>
19840.11 90m 15p
<span>$20355.96 96m 16p 8yrs = $13,500 * (1.026)^16 </span>

<span>From this set of information, you should be able to answer the three parts. </span>
<span>There are math formulas available in books about it. </span>

<span>Using the APR, you can get the same answer </span>
<span>(1.052676)^8</span>
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14 is the GCF of anumber M and 210. What are possible values of M?
Cloud [144]
<span>14 = GCF of M and 210
M = possible values

GCF = Greatest common denominator
Now, let’s start decomposing
=> 210 | 2
=> 105 | 2
=>  35 | 5
=> 7 | 7
=> 1

Thus, 2 x 3 x 5 x 7 = 210

Now let’s find the factors of 14
=> 14 | 2
=> 7 | 7
=> 1

Thus, 2 x 7 = 14

Notice that’s there’s no 14 in 210 shown factors, but the only GCF found is 7.
Thus, the value of M that we’re looking for is infinite. All numbers that has the GCF of 7 are applicable.</span>



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