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natta225 [31]
3 years ago
9

Kyle anticipates that he will be in a higher tax bracket when he retires than he's in now.

Mathematics
1 answer:
kupik [55]3 years ago
3 0

Answer:

For Kyle, a Roth IRA would be a better choice if he wants to pay less tax, since the tax will be collected when he contributes funds.

Explanation:

If kyle falls in higher tax bracket when he retires, then Roth IRA is the best option.Roth IRA is an individual's retirement saving account that offers valuable tax benefits, that is the money invested within the Roth IRA is tax free and withdrawal in retirement will be tax free too.That is you contribute money now that you'll pay income taxes on this year, but the withdrawal will be tax free during retirement.

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Uninhibited growth can be modeled by exponential functions other than​ A(t) ​=Upper A 0 e Superscript kt. For ​ example, if an i
laila [671]

The question is incomplete. Here is the complete question.

Uninhibited growth can be modeled by exponential functions other than A(t)=A_{0}e^{kt}. for example, if an initial population P₀ requires n units of time to triple, then the function P(t)=P_{0}(3)^{\frac{t}{n} } models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.

a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form P(t)=P_{0}(3)^{\frac{t}{n} } that models the population.

b) What will the population be in 47 days?

c) When wil the population reach 750?

d) Express the model from part (a) in the form A(t)=A_{0}e^{kt}.

Answer: a) P(t)=50(3)^{\frac{t}{30} }

              b) P(t) = 280 insects

              c) t = 74 days

             d) A(t)=50e^{0.037t}

Step-by-step explanation:

a) n is time necessary to triple the population of insects, i.e., n = 30 and P₀ = 50. So, Exponential equation for growth is

P(t)=50(3)^{\frac{t}{30} }

b) In t = 47 days:

P(t)=50(3)^{\frac{t}{30} }

P(47)=50(3)^{\frac{47}{30} }

P(47)=50(3)^{1.567}

P(47) = 280

In 47 days, population of insects will be 280

c) P(t) = 750

750=50(3)^{\frac{t}{30} }

\frac{750}{50}=(3)^{\frac{t}{30} }

(3)^{\frac{t}{n} }=15

Using the property <u>Power</u> <u>Rule</u> of logarithm:

log(3)^{\frac{t}{30} }=log15

\frac{t}{30}log(3)=log15

t=\frac{log15}{log3} .30

t = 74

To reach a population of 750 insects, it will take 74 days

d) To express the population growth into the described form, determine the constant k, using the following:

A(t) = 3A₀ and t = 30

A(t)=A_{0}e^{kt}

3A_{0}=A_{0}e^{30k}

3=e^{30k}

Use Power Rule again:

ln3=ln(e^{30k})

ln3=30k

k=\frac{ln3}{30}

k = 0.037

Equation for exponential growth will be:

A(t)=50e^{0.037t}

3 0
2 years ago
Which trigonometric ratios are correct for triangle DEF?
ziro4ka [17]
Sin(D) = 24/25
tan(D) = 24/7
sin(E) = 7/25 
3 0
3 years ago
NEED HELP PLEASE WILL MARK BRAINLIEST !!!
Leona [35]
The answer you need is b
3 0
3 years ago
Please help!! I don’t understand how to solve this
belka [17]

Answer:it is c

Step-by-step explanation:

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3 0
2 years ago
What is 0.8 of 1,046
dmitriy555 [2]

Answer:

Concept: Mathematical Computation

  1. You want to know what 80% of 1046 is
  2. Hence you do 1046 × 0.80
  3. Your answer is 836.8
  4. Rate positively and give brainlist
4 0
2 years ago
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