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
<span>the probability that a pen from the first box is selected
= total number of pens in 1st box/total number of objects in box 1
= 5/12
</span>the probability that a crayon from the second box is selected
= total number of crayons in 2nd box/total number of objects in box 2
= 6/8 = 3/4
Answer:
21.44 ft
Step-by-step explanation:
(sketch to understand)
use SOH/CAH/TOA rules to solve
sin rule is used
solve for x
(working in the picture attached)
<span>Box plots give the five number summary of the data set. The whiskers indicate the minimum daily travel time, which is 11 minutes, and the maximum daily travel time, which is 45 minutes. These values are not outliers because they are connected to the box with whiskers. Meanwhile, the box indicates that the first quartile of the data set is 16, the median is 28, and the third quartile is 36.</span>
