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Lina20 [59]
4 years ago
11

Classify the number −25.

Mathematics
1 answer:
Marina86 [1]4 years ago
8 0

Answer:

integer

Step-by-step explanation:

..................

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Write an exponential model given the points ( 7, 12 ) and ( 8, 25 ). Round to the nearest hundredth.
inna [77]

Answer:

The exponential model is y = 0.07\cdot e^{0.73\cdot x}.

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

y = A\cdot e^{B\cdot x} (1)

Where:

x - Independent variable.

y - Dependent variable.

A, B - Coefficients.

If we know that (x_{1}, y_{1}) = (7,12) and (x_{2}, y_{2}) = (8,25), then we get the following system of equations:

A\cdot e^{7\cdot B} = 12 (2)

A\cdot e^{8\cdot B} = 25 (3)

If we divide (3) by (2), we calculate the value of B:

e^{B}=\frac{25}{12}

B = \ln \frac{25}{12}

B \approx 0.734

And by (2), we determine the value of A:

A = 12\cdot e^{-7\cdot B}

A = 0.0704

The exponential model is y = 0.07\cdot e^{0.73\cdot x}.

4 0
3 years ago
Find the 66th term of the arithmetic sequence 25, 10, -5
siniylev [52]

Answer:

970

Step-by-step explanation:

8 0
4 years ago
The mother of Kriz Anthony was hospitalized and he needs an
Artyom0805 [142]

Answer: Kriz should pay $50,100 at the end of the term.

Step-by-step explanation:

If the interest is compunded quarterly, then the accumulated amount after t years will be:

A=P(1+\frac{r}{400})^{4t} , where P= principal value , r = rate of interest .

Given: P= 50,000 , r= 5% = 0.05, t= 4 years

Then,

A=50000(1+\dfrac{0.05}{400})^{4(4)}\\\\= 50000(1+0.000125)^{16}\\\\=50000(1.000125)^{16}\\\\=50000(1.002)\\\\=\$50,100

Hence, Kriz should pay $50,100 at the end of the term.

3 0
3 years ago
Arc length, radius, & central angles (deg. & rad.)
11111nata11111 [884]

Answer:

radius: 23 inches

Step-by-step explanation:

Formula: ∅r = arc length

Here the ∅ is 2 rads and arc length is 46 inches.

using the formula:

2*r = 46

r = 23 inches

7 0
2 years ago
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