Answer:
Below in bold.
Step-by-step explanation:
Nth term an = a1 + d(n - 1) where a1 = term 1 and d = common difference.
Here a1 = 5 and d = 8-5 = 3.
So an = 5 + 3(n - 1)
15th term a15
= 5 + 3(15 - 1)
= 5 + 42
= 47.
Use the given values in the compound interest formula to solve for time, n.
A is the final amount of money, $2800
P is the initial or starting amount $1900
i is the interest rate as a decimal 0.025
n is time in years since it annual.
2800 = 1900(1 + 0.025)^n
2800 = 1900(1.025)^n
2800/1900 = (1.025)^n
28/19 = (1.025)^n
take the natural log of both sides to solve for exponent.
ln(28/19) = ln(1.025^n)
power rule of logarithmic moves exponent
ln(28/19) = n*ln(1.025)
ln(28/19) / ln(1.025) = n
put into a calculator
15.7 years = n
Complete question :
Put these fraction in order of size smallest to largest : 7/10, 2/3, 4/5, 11/15
Answer:
2/3, 7/10, 11/ 15, 4 /5
Step-by-step explanation:
In other to make solving the question easier, we can convert the fractions to decimal in other to make comparison easier :
7/10 = 0.7
2/3 = 0.667
4 /5 = 0.8
11 /15 = 0.733
Using the placement or how the numbers will appear to the right of a number line ;
0.667, 0.7, 0.733, 0.8
Thus we have :
2/3, 7/10, 11/ 15, 4 /5
A = L * W
A = 7 * 4
A = 28 sq ft....this is the area of her garden
and if each plant uses 1 sq ft, then there will be (30 - 28) = 2 plants leftover