The first part of the question is $2280.00
I multiplied 38,000 by .06
Answer:
See attached image for the drawing of the first four trees (circled in green)
The patterns is:
x = 2+3n and y= 3+2n
Position of 7th tree is: (20,15) (circled in orange in the image)
Step-by-step explanation:
Starting at the location (2,3) the next x and y positions are given by:
x = 2+3n since the horizontal position needs to be increased by 3 units on each iteration,
and y= 3+2n since the vertical position needs to be increased by 2 units on each iteration
being n= 1 through 6 (to account for the next 6 trees that need to be planted)
With such pattern, the location of the seventh tree would be:
x = 2 + 3*6 =2 + 18 = 20
y = 3 + 2*6 = 3 + 12 = 15
That is, the point (20,15) on the plane.
Also see attached image.
Answer:
He must invest R297 521 today.
Step-by-step explanation:
The compound interest formula is given by:
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Banabas must pay his ex-wife an amount of R350 000 in two years’ time.
This means that ![t = 2, A(t) = 350000](https://tex.z-dn.net/?f=t%20%3D%202%2C%20A%28t%29%20%3D%20350000)
Interest rate of 8.15% per annum compounded monthly:
This means that
.
Amount he must invest today:
This is P. So
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
![350000= P(1 + \frac{0.0815}{12})^{2*12}](https://tex.z-dn.net/?f=350000%3D%20P%281%20%2B%20%5Cfrac%7B0.0815%7D%7B12%7D%29%5E%7B2%2A12%7D)
![P = \frac{350000}{(1 + \frac{0.0815}{12})^{2*12}}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B350000%7D%7B%281%20%2B%20%5Cfrac%7B0.0815%7D%7B12%7D%29%5E%7B2%2A12%7D%7D)
![P = 297521](https://tex.z-dn.net/?f=P%20%3D%20297521)
He must invest R297 521 today.
Twenty-two of the players said that they preferred that the games be played on Saturdays. Ivan correctly determined that the margin of error, E, of his survey using a 99% confidence interval (z*score 2.58) is approximately 18%
Ivan surveyed 49 randomly select
Dividing the number of tires that should be installed per day which is 400 by the number of working hours which is 8 will give us 50 tires per hour. Assuming that the same mistake will take toll on the workers such that they will have 1 tire mistakenly installed in an hour, they will have 8 erroneous tires in a day. Multiplying this by 5 to make the answer per week will give 40. Out of the 400 x 5 = 2000 tires. The answer would be 2000 - 40 which is equal to 1940. The assumption must be valid.