Answer:
Answer:
Option B is correct.
Step-by-step explanation:
We will compare the interest earned by both.
Tasha: p = $5000
r = 6% or 0.06
n = 1
So, Amount after a year will be = = $5300
And amount the next year with p = 5300: 5300*1.06= $5618
Additional $5000 at 8%
Here the amount will be = =5400
Next year amount with p = 5400 : 5400*1.08 = $ 5832
Amount in total Tasha will have in 2 years = 5618+5832 = 11450
Thomas:
p = 10000
r = 7% or 0.07
n = 1
After a year the amount will be = =$10700
Amount Next year with p = 10700 : 10700*1.07 = $11449
*****Just after 1 year we can see that Tasha's total amount is high than Thomas. This means at the same consistent rate, each year Tasha's amount will always be higher than Thomas.
So, option B is correct. Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.
Answer:
As you can see, the difference between the reciprocal of
and the inverse of
is that
and
.
Step-by-step explanation:
First lets find both the reciprocal of
and the inverse of
Recall that the reciprocal of a value is where you take a fraction and swap the places of the terms. In the case of
, 1 is the denominator, so

To find the inverse of a function, you first need swap the locations of x and y in the equation

Now, you need to solve for y

Now, lets rewrite each of these to better compare them

As you can see, the difference between the reciprocal of
and the inverse of
Assuming 1 is written rotationally symmetrical, using 0,1,6,8,9 to make numbers that have a degree of symmetry of 2 (i.e. 180 degrees), we can say
one digit numbers: 0,1,8
two digit numbers: 11, 69, 96
(18 becomes 81, so not admissible, similarly for 19, 91,16,61, etc)
(00 is not considered generally as a two-digit number)
three digit numbers:
(000, 010, 080 are not considered generally as a three-digit number)
101, 609, 808, 906,
replace the middle digit successively by 1 and 8 gives
111, 619, 818, 916,
181, 689, 888, 986
for a total of 12 numbers
Let the length of the playground be x, then the width is 6 + x.
Area = length * width = x * (6 + x) = 6x + x^2 = 216
Solving the quadratic equation x^2 + 6x - 216 = 0, we have x = 12 or -18
i.e length = 12 and width = 6 + 18 = 18