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3 years ago

We can think of 3 ÷ 1/4 as the answer to the question “How many groups of 1/4 are in 3?” What is the answer to the question

Mathematics

1 answer:

OverLord2011 [107]3 years ago

5 0

Answer: 12

Step-by-step explanation: 3*4/1 = 12/1 =12

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Help me with these questions

Elena L [17]

Answer: a = 4, b = 163,422

Step-by-step explanation:

$P = P_{0} e^{kt}$ P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 (converted 21% into a decimal)

t = 36 yrs (2006 - 1970)

$P = P_{0} e^{kt}$ need to solve for P₀

$7003 = P_{0} e^{(.21)(36)}$

$7003 = P_{0} e^{7.56}$

7003 = P₀ (1920)

$\frac{7003}{1920} = P_{0}$

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 (converted 21% into a decimal)

t = 15 yrs (2021 - 2006)

$P = P_{0} e^{kt}$ need to solve for P₀

$P = 7003 e^{(.21)(15)}$

$P = 7003 e^{3.15}$

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

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Answer: 2, -1

Step-by-step explanation:

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0 or x + 1 = 0

x = 2 or x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴ or e¹ = e¹

TRUE TRUE

*****************************************

Answer: 0 = ln 1

Step-by-step explanation:

$e^{-10} = \frac{1}{e^{10}}$

$ln(e^{-10}) = ln(\frac{1}{e^{10}})$

-10 = ln 1 - 10 log rules say division is subtraction

0 = ln 1

5 0

3 years ago

NEED THE ANSWER ASAP PLEASE

Firdavs [7]

Answer:

AB = 5

Step-by-step explanation:

Since the triangle is isosceles then the legs are congruent, that is

BC = BA, substitute values

5x - 10 = 3x - 4 ( subtract 3x from both sides )

2x - 10 = - 4 ( add 10 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Thus

AB = 3x - 4 = 3(3) - 4 = 9 - 4 = 5

5 0

3 years ago

Read 2 more answers

Simplify: 27k^5m^8/(4k^3)(9m^2)

Yakvenalex [24]

The answer to your question is 3k^2m^6/4

4 0

3 years ago

Isaac invested $460 in an account paying an interest rate of 2.4% compounded daily. Assuming no deposits or withdrawals are made

allochka39001 [22]

Answer:

t =17 years

Step-by-step explanation:

The formula for interest

A = P(1+ r/n)^ nt

where a is the amount in the account , p is the principal, r is the rate, n is the number of times compounded per year and t is the time in years

Substituting in what we know

690 = 460 ( 1+ .024/365)^ 365t

690/460 = ( 1+ .024/365)^ 365t

1.5 = ( 1+ .024/365)^ 365t

Taking the log of each side

log(1.5) = 365t log( 1+ .024/365))

Dividing each side by( 1+ .024/365)

log(1.5)/ log( 1+ .024/365) = 365t

divide each side by 365

1/365 log(1.5)/ log( 1+ .024/365) =t

t =16.8949

To the nearest year

t =17

4 0

3 years ago

Read 2 more answers

How much money will the movie theater make if a birthday party of 12 kids each buys a box of candy and a soda but does not go se

Hunter-Best [27]

Answer:

$93

Step-by-step explanation:

12(3.75+4.00)

= 93

4 0

3 years ago