That graph is very much linear
-12d -6 = -2(d+3) -10d
-12d -6 = -2d -6 -10d
-12d -6 = -12d -6
-6 = -6
infinite solutions ♾
Hello!
To solve questions 19 and 21, firstly, we need to convert the percentages to decimals. There are two ways to convert them.
- The first way is to divide the percentage by 100 because <u>all</u> percentages are out of 100.
- The second way is to move the decimal place two times to the left, in which case, it is the same thing as dividing by 100.
After finding the converted percentage, you multiply the cost by that decimal. That will be your final answer according to the problem, but that is not true in some cases (like number 19).
19). Sales Tax
We are given a Digital Assistant priced at 399 dollars. We are finding the total price including the sales tax, so we need to add the total price and the sales tax together.
7.75 / 100 = 0.0775
399 × 0.0775 = 30.9225 | This can be rounded to about 30.92 dollars.
399 + 30.92 = 429.92 dollars
The total price including the sales tax is 429.92 dollars.
21). Women in the Navy
Given that there is a 335-person crew, and of which, 13% are female, we need to find how much females are on the navy guided-missile destroyer.
13 / 100 = 0.13
335 × 0.13 = 43.55
Since we are working with humans, we need to round it to a whole number.
Therefore, there are about 44 crew members that are women.
<u>Final answers</u>:
- 429.92 dollars
- 44 women
Answer:
<h3>A) 204m</h3><h3>B) 188m</h3>
Step-by-step explanation:
Given the rocket's height above the surface of the lake given by the function h(t) = -16t^2 + 96t + 60
The velocity of the rocket at its maximum height is zero
v = dh/dt = -32t + 96t
At the maximum height, v = 0
0 = -32t + 96t
32t = 96
t = 96/32
t = 3secs
Substitute t = 3 into the modeled function to get the maximum height
h(3) = -16(3)^2 + 96(3) + 60
h(3) = -16(9)+ 288 + 60
h(3) = -144+ 288 + 60
h(3) = 144 + 60
h(3) = 204
Hence the maximum height reached by the rocket is 204m
Get the height after 2 secs
h(t) = -16t^2 + 96t + 60
when t = 2
h(2) = -16(2)^2 + 96(2) + 60
h(2) = -64+ 192+ 60
h(2) = -4 + 192
h(2) = 188m
Hence the height of the rocket after 2 secs is 188m
