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3 years ago

Use the grouping method to factor this polynomial.

Mathematics

1 answer:

IgorLugansk [536]3 years ago

5 0

Answer:

Step-by-step explanation:

Given

x³ + 2x² + 7x + 14 ( factor the first/second and third/fourth terms )

= x²(x + 2) + 7(x + 2) ← factor out (x + 2) from each term

= (x² + 7)(x + 2) → D

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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

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

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∴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)

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(d)

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

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$\Rightarrow P=49759.62$

∴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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