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3 years ago

Please help! 10+ Mpoints

Mathematics

1 answer:

xenn [34]3 years ago

7 0

Answer:

Step-by-step explanation:

a^2+b^2=c^2

8^2+6^2=c^2

64+36=c^2

100=c^2

sq rt 100=c

10=c

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Lauren will make annual contributions in the amount of $4,770, on average, to a 401(k) over the next 34 years. Her employer will

fredd [130]

Answer:

$610,297.11

Step-by-step explanation:

The problem seems to make several assumptions:

contributions are made at the end of each year
contributions and employer matching funds are not taxed until retirement
the 15% tax rate applies to the account balance amount at retirement

Of these, the last is least likely to be true in the United States.

___

Based on the assumptions above, we compute the amount from the future value of the series of contributions, then subtract 15% from that result.

FV = P·((1 +r)^n -1)/r . . . . where P is the amount of each payment, r is the annual interest rate, n is the number of payments.

The amount deposited each year is ...

$4770 + 0.60·4770 = $7630

Then the future value after 34 deposits is ...

FV = 7630·(1.055^34 -1)/0.055 ≈ 717,996.60

When this amount is reduced by the assumed 15% tax rate, it becomes ...

$717,996.60 - 0.15·717,996.60 = $610,297.11

4 0

3 years ago

6y - 5x = 5 and x= 2y + 7

jolli1 [7]

Y = -10 and x = -13 (substitute 2y + 7 for x)

5 0

3 years ago

On the basis of data collected during an experiment, a biologist found that the growth of a fruit fly population (Drosophila) wi

Ket [755]

Answer:

(a). 15

(b). 78

Step-by-step explanation:

Growth of the population of a fruit fly is modeled by

N(t) = $\frac{600}{1+39e^{-0.16t} }$

where t = number of days from the beginning of the experiment.

(a). For t = 0 [Initial population]

N(0) = $\frac{600}{1+39e^{-0.16\times 0} }$

= $\frac{600}{1+39}$

= $\frac{600}{40}$

= 15

Initial population of the fruit flies were 15.

(b).Population of the fruit fly colony on 11th day.

N(11) = $\frac{600}{1+39e^{-0.16\times 11} }$

= $\frac{600}{1+39e^{-1.76} }$

= $\frac{600}{1+39\times 0.172 }$

= $\frac{600}{1+6.71}$

= $\frac{600}{7.71}$

= 77.82

≈ 78

On 11th day number of fruit flies colony were 78.

3 0

4 years ago

Determine if the number is rational (R) or irrational (I).

andrezito [222]

56213 o 75082106

Step-by-step explanation:

espero te sirva

8 0

3 years ago

You roll a die, spin the spinner, and find the sum. How many different sums are possible?

bekas [8.4K]

This hurts my brain bro

3 0

3 years ago