Answer: the number of years is 7.3 years
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^ t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 1250
A = 1000
r = 3% = 3/100 = 0.03,
Therefore
1000 = 1250(1 - 0.03)^t
1000/1250 = (0.97)^t
0.8 = 0.97^t
Taking log of both sides, it becomes
Log 0.8 = tLog 0.97
- 0.0969 = - 0.0132t
t = - 0.0969/- 0.0132t
t = 7.3 years
Answer:
1. Median = 10.1
2. A. The median represents the center.
3. D. The mode(s) can't represent the center because it (they) is(are) not a data value.
Step-by-step explanation:
Mean of a sample = sum of the samples/no of the samples
Samples in increasing order:
9.8
9.8
9.9
10.1
10.4
10.6
11.1
Mode is the sample with highest frequency.
Median is the middle entry of the data.
Mean = (9.8 + 9.8 + 9.9 + 10.1 + 10.4 + 10.6 + 11.1)/7
= 717/7
= 10.243
Median = 10.1
Mode = 9.8 because it has the highest frequency of 2
Answer: D, .1
Step-by-step explanation: 10 marbles and 1 green
50 times she pulled and almost every ten tries she got green meaning there's a high chance of her getting 1 green every 10 tries
<u>Answer:</u> $42546.9 will be the earning in 4 years.
<u>Step-by-step explanation:</u>
The equation for compound interest follows:
where,
A = total amount
P = Principle amount
r = rate of interest
n = number of years
We are given:
Earnings earned per month = $3250
Earnings earned per year = ($3250 × 12) = $39000
The values become:
Putting values in above equation, we get:
Hence, $42546.9 will be the earning in 4 years.
9514 1404 393
Answer:
yes
Step-by-step explanation:
There are at least a couple of ways to show congruence.
1. ∠P ≅ ∠Q . . . given; PB ≅ QB . . . given; ∠QBS ≅ ∠PBR . . . vertical angles; ΔPRB ≅ ΔQSB by ASA
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2. PB ≅ QB . . . given; ∠QBS ≅ ∠PBR . . . vertical angles; BR ≅ BS . . . given; ΔPRB ≅ ΔQSB by SAS
