Solve when P=45.28 ×(1.346)^ t

Question

ScanSolve AI Tutor · Accepted Answer

Calister, unaendelea na swali la kwanza lakini kwa namba tofauti. Nitachukulia unataka kukokotoa $P$ wakati $t=2$ , kama ilivyokuwa kwenye swali la awali.

Swali:
Tunapewa formula ya idadi ya samaki $P$ baada ya miaka $t$ :

P = 45.28 \times (1.346)^t

Tunahitaji kukokotoa idadi ya samaki wakati $t=2$ na kutoa jibu la mwisho kwa nambari nzima iliyo karibu.

Badilisha thamani ya $t=2$ kwenye formula.
$P = 45.28 \times (1.346)^2$
Tumia logariti kurahisisha hesabu.
Chukua logariti ya pande zote mbili:
$\log P = \log (45.28 \times (1.346)^2)$
Tumia sheria za logariti $\log(ab) = \log a + \log b$ na $\log(a^n) = n \log a$ :
$\log P = \log 45.28 + \log (1.346)^2$ $\log P = \log 45.28 + 2 \log 1.346$
Kutoka kwenye jedwali la logariti (au kikokotoo):
$\log 45.28 \approx 1.6559$
$\log 1.346 \approx 0.1290$
Badilisha thamani hizi:
$\log P = 1.6559 + 2 \times 0.1290$ $\log P = 1.6559 + 0.2580$ $\log P = 1.9139$
Tafuta antilogariti ili kupata thamani ya $P$ .
$P = \text{antilog}(1.9139)$ $P \approx 82.02$
Zungusha jibu la mwisho kwa nambari nzima iliyo karibu.
Idadi ya samaki ni takriban 82.

Jibu la mwisho ni:
$\text{82}$

Solve when P=45.28 ×(1.346)^ t

Answer

Step-by-step solution

Badilisha thamani ya $t=2$ kwenye formula.

Tumia logariti kurahisisha hesabu.

Tafuta antilogariti ili kupata thamani ya $P$ .

Zungusha jibu la mwisho kwa nambari nzima iliyo karibu.

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Solve when P=45.28 ×(1.346)^ t

Answer

Step-by-step solution

Badilisha thamani ya t=2t=2t=2 kwenye formula.

Tumia logariti kurahisisha hesabu.

Tafuta antilogariti ili kupata thamani ya PPP.

Zungusha jibu la mwisho kwa nambari nzima iliyo karibu.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Badilisha thamani ya $t=2$ kwenye formula.

Tafuta antilogariti ili kupata thamani ya $P$ .