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PolarNik [594]
3 years ago
11

Suppose the expression a(b)n models the approximate number of people who visited an aquarium each day since an aquarium opened,

where a is the initial number of people who visited, b is the rate of increase in the number of people who visited each day, and n is the number of days since the aquarium opened.
If the expression below models the number of visitors of a particular aquarium, what is the correct interpretation of the second factor?
54(1.3)^7


A.
There were 9.1 times as many people who visited the aquarium on the 7th day as on the first day.
B.
There were 1.3 times as many people who visited the aquarium on the 7th day as on the first day.
C.
There were 6.27 times as many people who visited the aquarium on the 7th day as on the first day.
D.
There were 10.2 times as many people who visited the aquarium on the 7th day as on the first day.
Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Answer:

C. There were 6,27 times as many people who visited the aquarium on the seventh day as on the first day.

Explanation:

\displaystyle 1,3^7 = 6,2748517 ≈ 6,27

I am joyous to assist you anytime.

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The correct answer is 1,350
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11,700 is invested in a compound interest account paying 3.9% compounded quarterly. How much will be in the account after 18year
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A=p(1+i/m)^mn
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3 years ago
Delta makes 12-volt car batteries. These batteries are known to be normally
blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the sample size n =12 -volt car batteries</em>

<em>Let  'X' be a Random variable in a normal distribution</em>

<em>Given that mean of the normal distribution = 45 months</em>

<em>Given that the Standard deviation of the normal distribution = 8months</em>

<u><em>Step(ii):-</em></u>

Let  X₁ = 3 years = 12 × 3 = 36 months

Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125

Let X₂ = 4 years  = 12 × 4 = 48 months

Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375

<u><em>Step(iii)</em></u>:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

                   = P(Z≤0.375) - P(Z≤-1.125)

                   = 0.5 +A(0.375) - (0.5-A(1.125)

                   = 0.5 + 0.1480 - (0.5 -0.3708)

                  = 0.1480 + 0.3708

                 = 0.5188

<u><em>Final answer:-</em></u>

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

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5 0
3 years ago
the height of a triangle is 4x inches and the base is (5x+1) inches. the area of a triangle is 500 square inches. what are the d
marin [14]
You mean what x is? Please add more detail.
8 0
3 years ago
3a-4b=12 what does a solve?
leonid [27]

Answer:

a = 4 + -1.333333333b

Step-by-step explanation:

Simplifying

3a + 4b = 12

Solving

3a + 4b = 12

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-4b' to each side of the equation.

3a + 4b + -4b = 12 + -4b

Combine like terms: 4b + -4b = 0

3a + 0 = 12 + -4b

3a = 12 + -4b

Divide each side by '3'.

a = 4 + -1.333333333b

Simplifying

a = 4 + -1.333333333b

8 0
3 years ago
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