The initial cost of a tea farm is sh 3000000 at the end of each year the value of the farm increases by 4%…

Question

The initial cost of a tea farm is sh 3000000 at the end of each year the value of the farm increases by 4% what will be the value of the farm at the end of 3 years?

ScanSolve AI Tutor · Accepted Answer

Huu hapa ni ukokotozi wa thamani ya shamba la chai mwishoni mwa miaka 3:

Gharama ya awali (Principal, P) = sh 3,000,000
Kiwango cha ongezeko (Rate, r) = 4% kwa mwaka = $\frac{4}{100} = 0.04$
Muda (Time, n) = miaka 3

Tumia fomula ya ongezeko la kiwanja (compound growth) kukokotoa thamani ya baadaye.
Fomula ni: $A = P(1 + r)^n$
Ambapo $A$ ni thamani ya baadaye, $P$ ni thamani ya awali, $r$ ni kiwango cha ongezeko, na $n$ ni idadi ya miaka.
Badilisha namba kwenye fomula.
$A = 3,000,000(1 + 0.04)^3$ $A = 3,000,000(1.04)^3$
Kokotoa $(1.04)^3$ .
$(1.04)^3 = 1.04 \times 1.04 \times 1.04 = 1.0816 \times 1.04 = 1.124864$
Zidisha na thamani ya awali.
$A = 3,000,000 \times 1.124864$ $A = 3,374,592$
Thamani ya shamba la chai mwishoni mwa miaka 3 itakuwa $\boxed{\text{sh } 3,374,592}$ .

The initial cost of a tea farm is sh 3000000 at the end of each year the value of the farm increases by 4% what will be the value of the farm at the end of 3 years?

Answer

Step-by-step solution

Tumia fomula ya ongezeko la kiwanja (compound growth) kukokotoa thamani ya baadaye.

Badilisha namba kwenye fomula.

Kokotoa $(1.04)^3$ .

Zidisha na thamani ya awali.

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The initial cost of a tea farm is sh 3000000 at the end of each year the value of the farm increases by 4% what will be the value of the farm at the end of 3 years?

Answer

Step-by-step solution

Tumia fomula ya ongezeko la kiwanja (compound growth) kukokotoa thamani ya baadaye.

Badilisha namba kwenye fomula.

Kokotoa (1.04)3(1.04)^3(1.04)3.

Zidisha na thamani ya awali.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Kokotoa $(1.04)^3$ .