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3 years ago

Find the inverse function. f(x) = Vx - 1+4

Mathematics

1 answer:

seraphim [82]3 years ago

4 0

Answer:

f^-1(v)=v/x-3/x

Step-by-step explanation:

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Recall that in the problem involving compound interest, the balance A for P dollars invested at rate r for t years compounded n

RoseWind [281]

Answer:

(a)∴A=$6753.71.

(b)∴A=$1480.24

(c) ∴P=$7424.70

(d)∴P=$49759.62

(e)∴P=$5040.99

(f) ∴P=$2496.11

Step-by-step explanation:

We use the following formula

$A=P(1+\frac rn)^{nt}$

A=amount in dollar

P=principal

r=rate of interest

(a)

P=$2,500, r=5%=0.05,t =20 years , n= 4

$A=\$2500(1+\frac{0.05}{4})^{(20\times 4)$

=$6753.71

∴A=$6753.71.

(b)

P=$1,000, r=8% =0.08,t =5 years , n= 2

$A=\$1000(1+\frac{0.08}{2})^{(5\times 2)$

=$1480.24

∴A=$1480.24

(c)

A=$10,000, r=6% =0.06,t =5 years , n= 4

$10000=P(1+\frac{0.06}{4})^{(5\times 4)}$

$\Rightarrow P=\frac{10000}{(1+0.015)^{20}}$

$\Rightarrow P=7424.70$

∴P=$7424.70

(d)

A=$100,000, r=6% =0.06,t =10 years , n= 12

$100000=P(1+\frac{0.07}{12})^{(10\times 12)}$

$\Rightarrow P=\frac{100000}{(1+\frac{0.07}{12})^{120}}$

$\Rightarrow P=49759.62$

∴P=$49759.62

(e)

A=$100,000, r=10% =0.10,t =30 years , n= 12

$100000=P(1+\frac{0.10}{12})^{(30\times 12)}$

$\Rightarrow P=\frac{100000}{(1+\frac{0.10}{12})^{360}}$

$\Rightarrow P=5040.99$

∴P=$5040.99

(f)

A=$100,000, r=7% =0.07,t =20 years , n= 4

$100000=P(1+\frac{0.07}{4})^{(20\times 4)}$

$\Rightarrow P=\frac{100000}{(1+\frac{0.07}{4})^{80}}$

$\Rightarrow P=2496.11$

∴P=$2496.11

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The best way to measure a volume of this size in Liters. This is a metric unit. There are 1000 liters in one cubic meter.

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Step-by-step explanation:

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Find the inverse function. f(x) = Vx - 1+4​

Find the inverse function. f(x) = Vx - 1+4