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3 years ago

Help please i don’t understand

Mathematics

1 answer:

Monica [59]3 years ago

7 0

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Triangles are similar ,

Thus :

$\frac{9}{3} = \frac{6}{x} \\$

$3 = \frac{6}{x} \\$

$\frac{6}{x} = 3 \\$

Inverse both sides

$\frac{x}{6} = \frac{1}{3} \\$

Multiply sides by 6

$6 \times \frac{x}{6} = 6 \times \frac{1}{3} \\$

$x = 2 \times 3 \times \frac{1}{3} \\$

$x = 2$

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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

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

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(b)

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=$1480.24

∴A=$1480.24

(c)

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(d)

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$\Rightarrow P=49759.62$

∴P=$49759.62

(e)

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

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

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$\Rightarrow P=5040.99$

∴P=$5040.99

(f)

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

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

$\Rightarrow P=2496.11$

∴P=$2496.11

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