Answer is 14.14
Reason
Using Pythagorean theory
a^2 + b^2 = c^2
The two legs are a and b, the longest diagonal opposite the right angle is c
10^2 + 10^2 = c^2
200 = c^2
Take square root of both sides
14.14 = c
Answer:
Total items = $39.90
Sales tax amount = $3.7905
Total cost = $43.691
The clerk's error is using 9.5 as sales tax amount instead of finding 9.5% of the total items
Step-by-step explanation:
Dress = $24.95
Skirt = $14.95
steps the clerk completed.
Step 1: 24.95 + 14.95 = 39.90
Step 2: 39.90 +9.5 = 49.40
Correct steps:
Total items = dress + skirt
= $24.95 + $14.95
= $39.90
Sales tax = 9.5%
Sales tax amount = 9.5% of total
= 9.5/100 × $39.90
= 0.095 × 39.90
= $3.7905
Total cost = Total + sales tax amount
= $39.90 + $3.7905
= $43.6905
To the nearest hundredth
= $43.691
Sales tax is the amount of money imposed by government on the sales of some items
Total cost is the cost of all items including sales tax
Answer: One and fifty six thousandths
Step-by-step explanation:
The 1 represents one so that first the decimal point represents and so that’s second 56 represents the thousands place so it would be fifty six thousandths since it is on the right side of the decimal.
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
