105% as a decimal would be 1.05 in decimal form
This is an exponential decay problem.
Using the equation Y = a *(1-rate)^time
where Y is the future value given as 12,000 and a is the starting value given as 13,000.
The rate is also given as 5%.
The equation becomes:
12,000 = 13,000(1-0.05)^x
12,000 = 13,000(0.95)^x
Divide each side by 13000:
12000/13000 = 0.95^x/13000
12/13 = 0.95^x
Use the natural log function:
x = ln(12/13) / ln(0.95)
x = 1.56 years. ( this will equal 12,000
Round to 2 years it will be less than 12000.
I'm not sure about what exactly your teacher is looking for, but the actual congruency conjecture you would use is:
(angle symbol) 1 (congruency symbol) (angle symbol) 8 - Because they are alternate exterior angles
Answer:
(a) 20256.15625
(b) 17642.78546
Step-by-step explanation:
(a) There's a formula for this problem y = A(d)^t where, A is the initial value you are given, d is the growth or decay rate and t is the time period. So, in this case, as the car cost is decreasing it is a decay problem and we can write the formula as such; y = A(1-R)^t
So, in 5 years the car will be worth, 25500(1-4.5%)^5 or 20256.15625 dollars
(b) And after 8 years the car will be worth 25500(1-4.5%)^8 or 17642.78546 dollars.
1 cup = 1/2 pint, so where it says 4 cups we'll just read 2 pints.
1. In one show we serve 30 × 2 pints of small and 42 × 6 pints of regular.
Total = 30 × 2 + 42 × 6 = 60 + 252 = 312 pints
Answer: 312 pints
2. 8 pints per gallon, 2 gallons per container makes 16 pints per container.
312 pints / 16 pints per container = 19.5 containers
We round up since we need a whole number of containers.
Answer: 20 containers
We can't really see question 3.
