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DerKrebs [107]
3 years ago
10

Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of gro

wth or decay.
f(x) = 2479 ⋅ 0.9948x
Mathematics
1 answer:
frosja888 [35]3 years ago
8 0
Consider the function f ( x ) = 2479 ⋅ 0.9948x First compare this with f ( x ) po ( 1 + r ) ^ 2 We get po = 2479 And 1 + r = 0.9948 = 1 – 0.0052 r = -0.0052 < 0 Therefore, f is an exponential decay function with a decay rate of 0.0052 x 100 = 0.52% 
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David, a platform diver, dives into the pool during practice. The height of David above the water at any given time, s, can be m
ella [17]

Check the pictures below.

if we knew the roots/solutions of the equation, we can set h(s) = 0 and solve for "s" to find out how many seconds is it when the height is 0.

if you notice in the first picture, when f(x) = 0, is when the parabola hits a root/solution or the ground, for David he'll be hitting the water surface, and the equation that has both of those roots/solutions conspicuous is

h(s) = -4.9(s - 2)(s + 1).

4 0
3 years ago
A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at th
OlgaM077 [116]

Answer:

Interval [16.34 , 21.43]

Step-by-step explanation:

First step. <u>Calculate the mean</u>

\bar X=\frac{(23+18+23+12+13+23)}{6}=18.666

Second step. <u>Calculate the standard deviation</u>

\sigma =\sqrt{\frac{(23-18.666)^2+(18-18.666)^2+(23-18.666)^2+(12-18.666)^2+(13-18.666)^2+(23-18.666)^2}{6}}

\sigma=\sqrt\frac{18.783+0.443+18.783+44.435+5.666+18.783}{6}

\sigma=\sqrt{17.815}=4.22

As the number of data is less than 30, we must use the t-table to find the interval of confidence.

We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).  

We must then choose t = 1.476 (see attachment)

Now, we use the formula that gives us the end points of the required interval

\bar X \pm t\frac{\sigma}{\sqrt n}

where n is the number of observations.

The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43

6 0
3 years ago
A blueprint has a scale of one eighth inequals1 ft. On the​ blueprint, a wall is drawn 2 and three eighths in long. What is the
katrin2010 [14]

19 feet

convert 2 \frac{3}{8} into an improper fraction

2 \frac{3}{8} = \frac{19}{8}

hence the length of the wall is 19 feet


8 0
3 years ago
PLS I NEED HELP I NEED DEM SMART PEOPLE. A sweater is on sale for 65% of the original price of $35. Calculate the sale price
zheka24 [161]

Answer:

your answer is 100 <3 have a nice day

Step-by-step explanation:

7 0
3 years ago
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nikdorinn [45]

Answer:

40 miles

Step-by-step explanation:

You would have to start by doing $120 - $96 for the per-day fee, which leaves Calvin with $24 to spend on miles.

Next you would do $24 ÷ $0.60 to find the number of miles he can drive, which is 40 miles.

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3 years ago
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