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2 years ago

A town has a population of 2000 and grows at 4.5% every year. To the nearest

Mathematics

1 answer:

madreJ [45]2 years ago

8 0

21.1 should be the correct answer because 4.5% of 2000 is 90

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2,5, 25/2, ... find the 10th term

notka56 [123]

Answer:

The $10^{th}$ term of the given sequence

$t_{10} = \frac{5^{9} }{2^{8} }$

Step-by-step explanation:

Step(i):-

Given sequence 2 , 5, $\frac{25}{2}$

First term a = 2

The difference of given geometric sequence

$d = \frac{r_{2} }{r_{1} } = \frac{5}{2}$

Step(ii):-

The $n^{th}$ term of the given sequence

$t_{n} = ar^{n-1}$

The $10^{th}$ term of the given sequence

$t_{10} = (2)(\frac{5}{2} )^{10-1}$

$t_{10} = (2)(\frac{5}{2} )^{9}= \frac{5^{9} }{2^{8} }$

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3 years ago

Halla el conjunto solución del siguiente sistema de ecuaciones aplicando el método de reducción: 2x + 3y = 8 x – 5y = 6

AysviL [449]

Answer:

x = 7.535 and y = 0.307

Step-by-step explanation:

Given that,

Two equations,

2x + 3y = 8 ...(1)

x – 5y = 6....(2)

Multiply equation (2) by -2.

-2x + 10y = -12....(3)

Now, adding equations (1) and (2),

2x + 3y -2x + 10y = 8-12

13y = 4

y = 0.307

Put the value of y in equation (2).

x – 5(0.307) = 6

x = 6 + 1.535

x = 7.535

So, the solutions of the given equation are x = 7.535 and y = 0.307.

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2 years ago

A quadratic function f is given F(x)= x^2_4x+6 Express f in standard form ?

Dennis_Churaev [7]

Hey there!

In the equation mentioned,

f represents function.

Hope my answer helps!

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2 years ago

Write a vector equation of the line that passes through point P(-4,11) and is parallel to a=[-3,8]. Then write parametric equati

Assoli18 [71]

Answer:

$\vec l = (-4, 11) + t\cdot (-3,8)$ , $x = -4 - 3\cdot t$ and $y = 11 + 8\cdot t$

Step-by-step explanation:

The vector equation of the line is:

$\vec l = \vec P + t \cdot \vec A$

$\vec l = (-4, 11) + t\cdot (-3,8)$

The parametric equations of the line are:

$x = -4 - 3\cdot t$ and $y = 11 + 8\cdot t$

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2 years ago

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