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
Answer:
(-6,-5)
Step-by-step explanation:
X+y=-11
solve for x
x=-11-y
substiute x value into 2nd equation
2x-3y=3
2(-11-y)-3y=3
-22-2y-3y=3
-5y=25
y=-5
substitute -5 for y in either equation to find x
x+y=-11
x+-5=-11
x=-6
Let x be the length of each row.
Denver can plant 3 rows of a certain length with 2 seedlings leftover.
Total number of seeds he has = 3x+2 Denver can plant 4 rows of the same length with 3 seedling spots left empty.
Total number of seeds he has = 4x-3 Using (i) and (ii), we get= 3x+2=4x-3
Isolate variable terms: 2+3=4x-3
Answer= 5=X
Multiply 
, quantity and price,
.
Hope this helps :)
To calculate who ran more, you add up the total miles
Pat = 2.75+3+2.5 = 8.25
Toby = 2+2.25+3.5 = 7.75
Now subtract to see who ran more
Pat ran 0.5 miles more than Toby.
Hope this helps
