<h3>
Answer: 10.68% decrease (choice F)</h3>
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Explanation:
A decrease of 23% means that you still retain 77% of the original value. This is because 23% + 77% = 100%. Or you could write it like this: 100% - 23% = 77%. The 77% then converts to the multiplier 0.77
An increase of 16% will involve the multiplier 1.16 in which we can think of it like 1.16 = 1 + 0.16 = 100% + 16%
Now we'll multiply those two decimal values mentioned:
0.77*1.16 = 0.8932
This result is smaller than 1, so we have a percent decrease of some sort. Subtract it from 1 to find the decimal form of the percent decrease
1 - 0.8932 = 0.1068
Lastly, move the decimal point 2 spots to the right:
0.1068 converts to 10.68%
We have a decrease of 10.68% overall when combining the initial 23% decrease followed by the 16% increase.
It turns out the order doesn't matter, and we could do the 16% increase first then the 23% decrease next. The key as to why the order doesn't matter all relies on the fact that multiplication can be done in any order. As you can probably guess, this process can be extended for as many percentage increases and/or decreases that you want.
Answer:
- The maximum height is 136 ft
- The time it takes to achieve this height is 1.5 s.
Explanation:
<u>1. Function for the height (given):</u>
<u />
<u>2. Type of function</u>
That is a quadatic function, whose graph is a parabola that opens downward.
The maximum of the function, i.e. the maximum height, is the vertex of the parabola.
The vertex of a parabola with the genral equation 
is at the x-coordinate
<u>3. Time to achieve the maximum height</u>
Substitute b with 48 and a with - 16:
Then, time when the object achieves the maximum height it 1.5s
<u />
<u>4. Maximum height:</u>
Replace t with 1.5 in the equation, to find the maximum height, h(1.5)
Then, the maximum height is 136 ft
Answer:
If she walked 3.5 miles in 1.4 hours, then her pace was:
3.5 miles / 1.4 hours = 2.5 miles/hour
Step-by-step explanation:
To get her pace in miles per hour, you take the number of miles and divide by the number of hours.
Answer:
d. 132
Step-by-step explanation:
12 + 8 x 15
do 8 x 15 first because PEMDAS
12 + 120
132
Answer:
6.0 miles
Step-by-step explanation:
The sequence of distances is a geometric sequence with first term a1 and common ratio (1 +10%) = 1.10. The sum of 7 terms of the sequence is ...
S7 = a1·(r^7 -1)/(r -1)
56.923 = a1·(1.1^7 -1)/(1.1 -1)
5.6923 = a1·0.9487171
Dividing by the coefficient of a1 gives its value:
5.6923/0.9487171 ≈ 5.999997 ≈ 6.000
The hiker traveled 6.0 miles on the first day.
