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
Answer:
$196
Step-by-step explanation:
Lets assume,
cost of a belt = 'x'
cost of a pair of pants = 'y'
Now, According to the question;
- x + y = 490;
- cost of a bag = twice the cost of belt = 2x;
- cost of a pair of pants = twice the cost of bag
⇒ y = 2×2x ⇔ 4x
hence, by subtituting the values in equation' we get;
⇒ x + 4x = 490
⇒ 5x = 490
⇒ x = 98
So, the difference between the cost of the pair of pants and the bag ;
⇒ y - 2x
⇒ 4x - 2x
⇒ 2x = 2×98 = 196.
Area of a rectangle=length x width
You have two rectangles:
First rectangle (the biggest):
length=9 yd
width=12 yd-6 yd=6 yd
Area of the biggest rectangle=(9 yd)(6 yd)=54 yd²
Second rectangle (the smallest)
length=6 yd
width=3 yd
Area of the smallest rectangle=(6 yd)(3 yd)=18 yd²
Area of the ballroom=area of the biggest rectangle + area of the smallest rectangle.
area of the ballroom=54 yd² +18 yd²=72 yd²
