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3 years ago

Yet another question.

Mathematics

1 answer:

inna [77]3 years ago

4 0

Answer:

t= 3 years

Step-by-step explanation:

So far we have 2 useful relationships $P_{t}= P_{o} e^{r*t}$ and $P_{t}=2P_{0}$

Now, clearing t

$P_{t}= P_{o} e^{r*t} \\\frac{ P_{t}}{P_{o}} = e^{r*t}\\\frac{2 P_{0}}{P_{o}} = e^{r*t}\\2 = e^{r*t}$

I apply logarithm

$log(2)=r*t\\ t=\frac{log(2)}{r}\\t=\frac{0.3}{0.1} \\ t=3$ years

Done

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30 points! PLS HELP IF U SMART

ANTONII [103]

Answer:

y = 40 x = 80

Step-by-step explanation:

520 = 3.25x + 6.5y and x+y=120

x+y=120

x = 120-y

520 = 3.25(120-y)+6.5y

520 = 390-3.25y+6.5y

520 = 390+3.25y

130=3.25y

40 = y

x = 120-y

x = 120-(40)

x = 80

here's a graph

8 0

2 years ago

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Write the equation of the line graphed below in Point-Slope form. Use the point labeled on the graph. State the slope and point.

saw5 [17]

Given:

The graph of a line.

To find:

The point-slope form of the given line.

Solution:

From the given graph it is clear that the line passes through the point (1,5) and (0,-1). So, the slope of the line is:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{-1-5}{0-1}$

$m=\dfrac{-6}{-1}$

$m=6$

The slope of the line is 6 and it passes through the point (1,5). So, the point slope form of the line is:

$y-y_1=m(x-x_1)$

$y-5=6(x-1)$

Therefore, the point-slope form is $y-5=6(x-1)$ , slope is 6 and the point is (1,5).

6 0

3 years ago

Write the number that is five less than ten million.

andrey2020 [161]

Answer:

9,999,995

Step-by-step explanation:

8 0

3 years ago

PLEASE HELP ASAP.

alexandr1967 [171]

Answer:

$Y' = (-2, 4\frac{2}{3})$

Step-by-step explanation:

Given

$Y = (-3,7)$

$Scale\ Factor = (\frac{2}{3}x,\frac{2}{3}y)$

Required

Determine Y'

Y' can be solved by multiplying the scale factor by Y

i.e.

$Y' = Scale\ Factor * Y$

For, the x coordinates.

$Y' = \frac{2}{3}x$

Where

$x = -3$

$Y' = \frac{2}{3} * -3$

$Y' = \frac{-6}{3}$

$Y = -2$

For the y coordinates:

$Y' = \frac{2}{3}y$

Where

$y = 7$

$Y' = \frac{2}{3} * 7$

$Y' = \frac{14}{3}$

$Y' = 4\frac{2}{3}$

Hence:

$Y' = (-2, 4\frac{2}{3})$

3 0

3 years ago

I NEED HELPPP AHHHHHH!!!!!!!!!!!!!!!!!!!!!!!!

Tju [1.3M]

5. complementary = 80 degrees
supplementary = 170 degrees

6. complementary = 47.5 degrees
supplementary = 137.5 degrees

7. complementary = 10 degrees
supplementary = 100 degrees

8. false
9. true
10. true
11. true
12. false
13. true
14. false

6 0

2 years ago

Read 2 more answers