Answer:
29,166.6667
Step-by-step explanation:Divide 12% which will turn into 0.12 then divide that with 3500.
Answer:
a = -5
Step-by-step explanation:
(5 - 3)/(5 - a)
2/(5 - a)
perpendicular of 2/(5 - a) = -(5 - a)/2
(a - 0)/(1 - 0) = -(5 - a)/2
a/1 = -(5 - a)/2
2a = -5 + a
a = -5
The simplest path from (0, 0, 0) to (1, 1, 1) is a straight line, denoted
, which we can parameterize by the vector-valued function,

for
, which has differential

Then with
, we have



Complete the square in the quadratic term of the integrand:
, then in the integral we substitute
:


Make another substitution of
:

Integrate by parts, taking




So, we have by the fundamental theorem of calculus that



9.) The relation can not be a function only if the domain is the same. If you plot the points on a graph and use the Vertical Line Test(VLT) you would see that none of the points would be on the same line. It doesn't matter if the range is the same
10.)On the graph your y-intercept would be 2 so that is where you plot your first point. In order to find the slope you need to go up three spaces and one space to the left this is also known as "rise over run". *Remember you always go up spaces for "rise over run" but if the slope is positive then you go to the right and if its negative you go to the left.
I hope this helps love! :)
31a) Think of $30.90 as 100% of her bill, we first want to find 6%
To work out how much this is, we need to divide the percentage by 100 to get a multiplier (decimal)
6/100 = 0.06
Multiply 0.06 and $30.90 to get the tax
$30.90 x 0.06 = 1.854
As we can't have part of a cent, we round to the nearest 100th
If the number to the right of this value is below 5 we round down, 5 or more we round up
4 is below 5 so we round down
$1.85
31b) For the total bill, we need to add together the original and the tax
$30.90 + $1.85 = $32.75
32a) Simple Interest = PRT
This means
P x R x T
We need to multiply together the Principal, Rate and Time span
We need to turn the percentage into a decimal, so we divide by 100 like before
3.2 / 100 = 0.032
$750 x 0.032 x 6 = $144
32b) To find the account balance, we need to add the interest to the original amount
$750 + $144 = $894