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Alenkinab [10]
1 year ago
11

Enzo is studying the black bear population at a large national park.

Mathematics
1 answer:
Naddik [55]1 year ago
4 0

Answer:

2,973

Step-by-step explanation:

The black bear population B(t), in the park is modeled by the following function:

B(t) = 2500 \cdot 2^{0.01t}

Where t is the time(in years) elapsed since the beginning of the study.

We want to determine the black bear population in 25 years time, t=25.

B(25) = 2500 \cdot 2^{0.01*25}\\=2973.02\\\approx 2973

There will be 2,973 black bears in 25 years time.

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Katie invested $33,750 at 11.17% compounded continuously.
ser-zykov [4K]

Answer:

Katie's account balance in 10 years will be $3,769,875

Step-by-step explanation:

you multiply the amount of money you invest by the percentage, and the amount of years.

EX: $33,750 × 11.17% × 10= $3,769,875

5 0
1 year ago
Fred buys a video game disk for $4 there was a discount of 20% what is the sales price please show work
polet [3.4K]

multiply the price by the discount then subtract the answer from the price

4 * 0.20 = 0.80

4-0.80 = 3.20

 sale price is $3.20

8 0
2 years ago
For the wheat-yield distribution of Exercise 4.3.5, find
Setler79 [48]

Answer:

a) 90.695 lb

b) 85.305 lb

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 88, \sigma = 7

(a) The 65th percentile

X when Z has a pvalue of 0.65. So X when Z = 0.385.

Z = \frac{X - \mu}{\sigma}

0.385 = \frac{X - 88}{7}

X - 88 = 7*0.385

X = 90.695

(b) The 35th percentile

X when Z has a pvalue of 0.35. So X when Z = -0.385.

Z = \frac{X - \mu}{\sigma}

-0.385 = \frac{X - 88}{7}

X - 88 = 7*(-0.385)

X = 85.305

6 0
1 year ago
Jayla buys and sells vintage clothing. She bought two blouses for $25.00 each and later sold them for $38.00 each. She bought th
4vir4ik [10]
Total expenses: $245.00
Total revenue: $479.00
Total profit $234.00
5 0
2 years ago
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Triangle PQR has coordinates P (2, 4), Q (-2, 4), R (0,-6).
alexdok [17]

Answer: P’ (5,10) , Q’ (-5,10) , R’ ( 0,-15)

Step-by-step explanation:

Just multiply 2.5 by the x,y

4 0
1 year ago
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