Answer:
Step-by-step explanation:
The given expression can be represented as:.5⁶
Required
Find equivalent expression
Express 6 as 3 + 3
Apply the following law of indices
So, we have:
Express as 125
Hence, option (b) is equivalent
How+long+will+it+take+for+$2900+to+grow+to+$25,600+at+an+interest+rate+of+10.4%+if+the+interest+is+compounded+quarterly?+round+t
1 answer:
The number of years to the nearest hundredth is t = 21 years and 3 months.
<h3>What is compound interest?</h3>It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
A = $25,600
P = $29,00
r = 10.4 = 0.104
n = 4
After solving:
t = 21.212 years
Or
t = 21 years and 3 months
Thus, the number of years to the nearest hundredth is t = 21 years and 3 months.
Learn more about the compound interest here:
#SPJ4
You might be interested in
The relative frequency of 15/24 for this considered situation represents the situation given by: Option C: Out of all the family members that prefer a lake, 15 are children.
<h3>How to find the relative frequency?</h3>Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency). (subgroup being group defined by a row, or a column)
<h3>How to form two-way table?</h3>Suppose two dimensions are there, viz X and Y. Some values of X are there as and some values of Y are there as
List them in title of the rows and left to the columns. There will be table of values will be formed(excluding titles and totals), such that:
Value(ith row, jth column) = Frequency for intersection of and
(assuming X values are going in rows, and Y values are listed in columns).
Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.
For n = 2, and k = 2, the table would look like:
where S denotes total of totals, also called total frequency.
n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.
The given two-way frequency table is:
Lake Hike Total
Children 6
Adults 9
Total 14 38
Total of hike subgroup is 14, out of which children are 6, so adults going for hiking must be 14 - 6 = 8 as adults and children going for hiking together are 14 in counts.
So, we get:
n(Hike ∩ Children) = 8
Thus, the total of subgroup Adults is 9+8=17 = n(Adults)
Total of vertical total columns is: n(Children) + n(Adults) = 38
or, we get: n(Children) = 38 - 17= 21
Since total of children subgroup is:
n(Lake ∩ Children) + n(Hike ∩ Children) = n(Children)
Thus, we get:
n(Lake ∩ Children) + 6 = 21
n(Lake ∩ Children) = 21-6 = 15
Thus, sum of the 'lake' subgroup is:
n(Lake) = n( Lake ∩ Children) + n(Lake ∩ Adults)
n(Lake) = 15 + 9 = 24
Thus, the completed two-way table is:
Lake Hike Total
Children 15 6 21
Adults 9 8 17
Total 24 14 38
Now, we've to find what does 15/24 represents.
The division is done by 24, which is the total of "lake" subgroup.
And in that lake subgroup, we have:
n(Lake ∩ Children) = 15
Thus, 15/24 is the relative frequency of those children who prefer the lake, relative to total number of people who prefer lake.
Thus, the relative frequency of 15/24 for this considered situation represents the situation given by: Option C: Out of all the family members that prefer a lake, 15 are children.
Learn more about conditional relative frequency here:
Learn more about two-way table here:
#SPJ1
