Answer:
$367.17
Step-by-step explanation:
we are find the cost of the car after 5 years
Using the compound interest formula;
A = P(1+r/n)^nt
Given
Principal P = $300
rate r = 5.2% = 0.052
Time t = 5years
Time of compounding n = 1/12 (monthly)
Substitute into the formula
A = 300(1+0.052(12))^5(1/12)
A = 300(1+0.624)^0.4167
A = 300(1.624)^0.4167
A = 300(1.2239)
A = 367.17
hence the amount of the car after 5years is $367.17
Answer:
a. 1965
b. 8 years
Step-by-step explanation:
For answers to questions like these it can work to consider the smallest possible dataset.
<h3>Dataset</h3>
For our purpose, consider the 9 years/values to be averaged to be ...
1, 2, 3, 4, 5, 6, 7, 8 ,9
<h3>Observations</h3>
a. The center value of the data set is 5. Its number is 5-1=4 more than the first one.
The first centered value is from the year 1961 +4 = 1965.
b. The 4 values at the beginning, and the 4 values at the end do not have a corresponding "average" value. That is, 4+4 = 8 values in the series are lost with respect to the number of average values.
8 years of values are lost.
Answer:
The pieces are 55 inches, 55 inches and 46 inches long
Step-by-step explanation:
A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.
Let us first convert the length of the board to inches:
1 ft = 12 inches
13 ft = 12 * 13 = 156 inches
Let the length of each of the other two pieces be x.
Therefore, the length of the third piece is (x - 9)
Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:
x + x + (x - 9) = 156
x + x + x - 9 = 156
=> 3x = 156 + 9
3x = 165
x = 165 / 3 = 55 inches
Each of the first two pieces are 55 inches long.
The length of the third piece will be:
55 - 9 = 46 inches
The pieces are 55 inches, 55 inches and 46 inches long.
To determine the expected number of sales after 3 years of a product, we need an equation that would relate time with the number of sales. In this case, we use the equation above which expresses the number of sales as a function of time. We simply substitute the time which would be 3 years to the equation and evaluate the value of N. We do as follows:
<span> N = 9200 ln (5t + 3)
</span><span> N = 9200 ln (5 ( 3 ) + 3)
</span><span> N = 9200 ln 18
N = 26591.42
Therefore, the correct answer would be option B. The number of sales after 3 years would be about 26591.</span>
