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:
About 21 People Can Go To Erin’s Party.
Step-by-step explanation:
Equation:
(80-16)= 1.5x*2
How To Solve It:
step 1: (80-16)= 1.5x*2
step 2: 64 =1.5x*2
step 3: 64=3x
step 4: 64/3=3x/3
Answer: About 21 People Can Go To Erin’s Party.
Answer:
The area of the actual park = 1,012.5 m^2
Step-by-step explanation:
In this question, we want to calculate the actual area of the park.
The scale drawing is given as 10 cm by 5 cm
Let’s translate this to actual measurements;
Since 1 cm = 4.5 m, then 10 cm will be 10 * 4.5 = 45 m while 5.0cm will be 5 * 4.5 = 22.5 m
So the actual dimensions of the park will be ;
45m by 22.5 m
Mathematically, the area of a rectangle = L * B = 45 m * 22.5 m = 1,012.5 m^2
Let’s define our variables:
D = dad’s age now
S = son’s age now
Given:
D=4S now
D+4=3(S+4) in 4 years
We can expand the second equation:
D+4=3S+12
D=3S+8
And we can subtract it from D=4S
D=4S-(D=3S+8)
0=S-8
S=8 the son’s age now.
D=4S=4(8)=32 the father’s age now
Check:
32+4=3(8+4)
36=3(12)
36=36 Check
I hope this helps you
It cost beth and her brother 147 coins. 3/21=7; 7x75=147