Alright, so you have the basic formula- good.
You have the A value (400), the interest rate r (7.5% -> .075 in decimal), and the final P value (8500). So, we only need to solve for t.
8500 = (400)(1+.075)^t
/400 /400
21.25 = 1.075^t
logarithms are the inverse of exponents, basically, if you have an example like
y = b^x, then a logarithm inverts it, logy(baseb)=x
Makes sense if you consider a power of ten.
1000 = 10^3
if you put logbase10(1000), you'll get 3.
Anyways, though, to solve the problem make a log with a base of 1.075 in your calculator
log21.25(base 1.075) = t
also, because of rules of change of base (might want to look this up to clarify), you can write this as log(21.25)/log(1.075) = t
Thus, t is 42.26118551.
Rounded to hundredths, t=42.26
Beginning Balance: 820.64
Add:
donations: 500 + 55 + 25 580.00
Deduct:
electric bill: 40.64
postage bill: 12.75
rental : 445.00 <u> (498.39)</u>
Ending Balance 902.25
The balance at the end of the month is $902.25
Answer:
A. 1:8
Step-by-step explanation:
We have been given that several students were asked to name the kinds of animals they saw in the past week at the park.
Dogs: 8
Cat: 2
Fish: 4
Lizard: 2
We are asked to find the ratio that compares the number of cats seen to the total number of animals seen.
Let us find total number of animal by adding each type of animals as:
We can see that the students saw 2 cats, so ratio of cats to total animals would be 
.
Dividing 2 and 16 by 2, we will get:
Therefore, the ratio 1:8 compares the number of cats seen to the total number of animals seen and option A is the correct choice.
