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3 years ago

Please please Help me

Mathematics

1 answer:

konstantin123 [22]3 years ago

4 0

All you have to do for each question is do (population times growth, the answer of that times 25 plus the original population and that’s 2025 population.

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Use the exponential decay model, Upper A equals Upper A 0 e Superscript kt, to solve the following. The half-life of a certai

Akimi4 [234]

Answer:

It will take 7 years ( approx )

Step-by-step explanation:

Given equation that shows the amount of the substance after t years,

$A=A_0 e^{kt}$

Where,

$A_0$ = Initial amount of the substance,

If the half life of the substance is 19 years,

Then if t = 19, amount of the substance = $\frac{A_0}{2}$ ,

i.e.

$\frac{A_0}{2}=A_0 e^{19k}$

$\frac{1}{2} = e^{19k}$

$0.5 = e^{19k}$

Taking ln both sides,

$\ln(0.5) = \ln(e^{19k})$

$\ln(0.5) = 19k$

$\implies k = \frac{\ln(0.5)}{19}\approx -0.03648$

Now, if the substance to decay to 78% of its original amount,

Then $A=78\% \text{ of }A_0 =\frac{78A_0}{100}=0.78 A_0$

$0.78 A_0=A_0 e^{-0.03648t}$

$0.78 = e^{-0.03648t}$

Again taking ln both sides,

$\ln(0.78) = -0.03648t$

$-0.24846=-0.03648t$

$\implies t = \frac{0.24846}{0.03648}=6.81085\approx 7$

Hence, approximately the substance would be 78% of its initial value after 7 years.

5 0

2 years ago

4/35 convert to to a decimal rpund to thousandths place please help will give brainest

Lina20 [59]

Answer: 0.11429 (Rounded to fifth decimal place)

6 0

3 years ago

in the past month,karen rented 7 7 videos games and 6 d v d . the rental price for each video game was $ 2

Savatey [412]

232.4 hope tthis helps

3 0

3 years ago

Given the Functions.

Furkat [3]

Answer:

The Answer is: A, B, and E.

Step-by-step explanation:

The given equations are:

f(x) = -2x + 8

g(x) = 6x - 10

Test each option:

a. g(-1) = 6(-1) - 10 = -6 - 10 = -16, True.

b. g(2) = 6(2) - 10 = 12 - 10 = 2, True

c. f(4) = -2(4) + 8 = -8 + 8 = 0, False

d g(6) = 6(6) - 10 = 36 - 10 = 26, False

e f(2) = -2(2) + 8 = -4 + 8 = 4, True

Hope this helps!! Have an Awesome day!!! :-)

4 0

2 years ago

97+(-27)+(-89)+(-54)

RUDIKE [14]

Step 1:

$97+(-27)+(-89)+(-54)$

Step 2:

$= 97 - 27 - 89 - 54$

Info:

(+) ×(-)=-

Step 3:

$= 97 - 170$

Step 4:

$= - 73✓$

8 0

3 years ago