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3 years ago

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Mathematics

1 answer:

Fofino [41]3 years ago

7 0

Answer:

Harper will have approximately 4870 dollars in 6 years.

Step-by-step explanation:

Since this investment is compounded continuosly it's growth is given by the following equation:

M = C*e^(r*t)

Where M is the final value, C is the amount invested, r is the interest rate and t is the time elapsed. Applying the data from the question we have:

M = 3200*e^(0.07*6)

M = 3200*e^(0.42)

M = 4870.28

Harper will have approximately 4870 dollars in 6 years.

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Solve |3k-2|=2|k+12|

Stella [2.4K]

Answer:

$k = 26$ or $k = -\dfrac{22}{5}$

Step-by-step explanation:

|3k - 2| = 2|k + 12|

$\dfrac{|3k - 2|}{|k + 12|} = 2$

$|\dfrac{3k - 2}{k + 12}| = 2$

$3k - 2 = 2(k + 12)$ or $3k - 2 = -2(k + 12)$

$3k - 2 = 2k + 24$ or $3k - 2 = -2k - 24$

$k = 26$ or $5k = -22$

$k = 26$ or $k = -\dfrac{22}{5}$

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3 years ago

Solve for m and n using the special right triangles

Irina18 [472]

Since this is a 45-45-90 triangle, n = 6 and m = 6√3.

I hope this helps!

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3 years ago

Juan takes 15 hours to do a job that his father can do in 6 hours. If juan works for 4.5 hours before his father joins him, how

ad-work [718]

Work it exactly like the other one with Wilda and Karla.

Juan takes 15 hours to do a job ... he does 1/15 of it in an hour.
His father can do it in 6 hours ... he does 1/6 of it in an hour.

Juan works alone for 4.5 hours. In that time, he does 4.5/15 = 0.3
of the job. When his father joins him, there's only 0.7 of it to finish.

Working together, they do (1/15 + 1/6) = (2/30 + 5/30) = 7/30 of the job
each hour.

How many times do they have to do 7/30 of the job in order to finish
the 7/10 of it that remains ? That will be the number of hours they need.

(7/10) / (7/30) = 7/10 x 30/7 = <em>3 hours</em>.

Then they can knock off while it's still daylight, and go for a swim.

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3 years ago

X+y=3 3y+x=5 Substitution

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Y=1 and x=2 because 2+1=3 and 2(x) plus 3(y) is 5

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3 years ago

Which function is the inverse of f(x)= x^3-6x^2+12x-8

Anna71 [15]

We're not given the choices but we don't need them.

The only way this problem is tractable to a middle or high schooler is if the polynomial is perfect cube; a little thought yields

$f(x) = (x-2)^3$