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Andreas93 [3]
3 years ago
11

use natural logarithms to solve the equation. round to the nearest thousandth. show work!! 5e^(2x+11) =30

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

Answer:

x = -4.604

Step-by-step explanation:

Here, we want to get the value of x

We start by dividing through by 5

e^(2x + 11) = 30/5

e^(2x + 11) = 6

Writing this in natural logarithm form, we have;

ln 6 = 2x + 11

2x + 11 = 1.792

2x = 1.792-11

2x = -9.208

x = -9.208/2

x = -4.604

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sesenic [268]

The worth after 10 years if it were invested at 4%  interest compounded continuously is $ 895.094

<h3><u>Solution:</u></h3>

Given that $ 600 invested at 4 % interest compounded continously for 10 years

To find: total amount after 10 years

<em><u>The compound interest formula for compounded continously is given as:</u></em>

A = p e^{rt}

Where "p" is the principal

"r" is the rate of interest

"t" is the number of years

Here in this problem, p = 600

r = 4 \% = \frac{4}{100} = 0.04

t = 10 years

Substituting the values in formula we get,

A = 600 e^{0.04 \times 10}\\\\A = 600 e^{0.4}\\\\A = 600 \times 1.49182469764\\\\A = 895.094

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8 0
3 years ago
X— 3y+z= 6<br>2x — бу – 2 = -2<br>—x+y+ 2 = 7​
dlinn [17]

Answer:

x = -7 1/2

y = - 5/2

z = 11

Step-by-step explanation:

x— 3y+z= 6  (1)

2x — бу – 2 = -2  (2) <=> 2x - 6y = -2 + 2 = 0 <=> (2x - 6y)/2 = 0 <=> x - 3y = 0 (4)

—x+y+ 2 = 7​ (3) <=> -x + y = 7 - 2 <=> x - y = -5 (5)

Subtract (5) from (4), we have:

(x - 3y) - (x - y ) = 0 - (-5)

<=> x - 3y - x + y = 5

<=> -2y = 5

<=> y = - 5/2

Replace y with (4), we have x = 3 × (-5/2) = -15/2 (or -7 1/2)

Replace x with -15/2 and y with -5/2 in (1), we have z = 6 - (-15/2 - (-5/2)) = 6 + (15/2 - 5/2) = 6 + 5 = 11

4 0
3 years ago
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JulsSmile [24]

Answer:

24 days

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120 students =30 days

120+30 =150 students

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150 students (b) : x

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If you think the value of x will be more than y then the bigger number will be the numerator. If u think x will be less, then the smaller number will be in the numerator.

I predict that x will be less than y

THEREFORE... 120/150 ×30

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Answer:

C. Both have the same y- intercept

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Answer:

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