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2 years ago

Savannah has a principle of 15000 with a 4.25% and saves 1,275 in interest. How long is she saving for

Mathematics

1 answer:

Nostrana [21]2 years ago

4 0

Answer:

5.73 years

Step-by-step explanation:

Considering she saved 4.25% in each year of the amount $15000.

So, we have to calculate in what time her saving reaches $1275, if she save each year.

it becomes question of simple interest in which

SI = $1275, Principal P= $5000, time T, rate R = 4.25%

we know SI = PRT/100

1275 = 5000×4.25×T/100

⇒T = 1275×100/(5000×4.25)

⇒ T= 5.73 years

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The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I = -425x^2 + 45,5

lord [1]

We are given

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$I=-425x^2+45500x-650000$

(a)

now, we are given

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so, $I=275000$

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$-425x^2+45500x-925000=0$

we will have to use quadratic formula

$x=\frac{-45500+\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{-\sqrt{45500^2-1572500000}+45500}{850}$

$x=\frac{-45500-\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{\sqrt{45500^2-1572500000}+45500}{850}$

we get

$x=27.28199$

$x=79.776$

we need to find youngest age

It means that we need to choose smallest value

so,

$x=27$ ............Answer

(b)

we are given

x=40

so, we can plug it and find I

$I=-425(40)^2+45500(40)-650000$

$I=490000$ ..............Answer

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