Kpl 3.2

327

a)

$200\cdot492€=98\ 400€$

b)

$8400€$

328

a)

$q=1{,}045$

b)

$q=1+\frac{0{,}045}{72}=1{,}00375$

331

a)

$25\cdot12=300$

b)

$q=1+\frac{0{,}013}{12}=1{,}001083...\approx1{,}00108$

c)

$A=115\ 000€\cdot1{,}00108^{300}\cdot\frac{1-1{,}00108}{1-1{,}00108^{300}}=449.198...\approx449{,}20€$

334

$K=10\ 800€$

$n=3\cdot4=12$
$q=1+\frac{0{,}0576}{4}=1{,}0144$

$A=K\cdot q^n\cdot\frac{1-q}{1-q^n}=986{,}447$

$10\ 800-986{,}447\cdot12=-1037{,}364€\approx1037{,}40€$

336

a)

$n=6\cdot12=72$

$A=500$
$q=1+\frac{0{,}015}{12}=1{,}00125$

$500=K\cdot1{,}00125^{72}\cdot\frac{1-1{,}00125}{1-1{,}00125^{72}}=34406.978...\approx34406{,}98€$

b)

$500=K\cdot1{,}005^{72}\cdot\frac{1-1{,}005}{1-1{,}005^{72}}=k=30169.756...\approx30169{,}76€$

338

$n_1=25\cdot12=300$

$q=1+\frac{0.02}{12}\approx1{,}00167$

$K=350\ 000€$

$A=K\cdot q^n\cdot\frac{1-q}{1-q^n}=1483.4901...\approx1483{,}49€$

$n_2=17\cdot12+9=213$

$1483{,}49=K\cdot q^{n_2}\cdot\frac{1-q}{1-q^{n_2}}=1483.4901...\approx1483{,}49€$

340

342