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Vsevolod [243]
2 years ago
6

You deposit 300 in an account earning 6% interest compounded annually. How much will you have in the account in 20 years?

Mathematics
2 answers:
Allushta [10]2 years ago
8 0

P = 300 $; r = 0.06; t = 20; n = 1

A = P ( 1 + r/n)^n*t

= 300 ( 1 + 0.06) ²⁰

= 300 ( 1.06) ²⁰

= 962.14

Sliva [168]2 years ago
7 0

Answer:

$962.10

Step-by-step explanation:

a = p {(1 +  \frac{r}{100} )}^{n}

a = amount

p = principal

r = interest rate

n = number of years

a = 300[1+6/100]^20

= 300(1.06)^20

= 300(3.207)(4s.f)

= 962.10

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A tower stand on a horizontal plane. P is the top and Q is the bottom of the tower. A and B are two points on this plane such th
pochemuha

Answer:

32√5

Step-by-step explanation:

We have the right triangles PQA and PQB as well as the given right triangle QAB.

cot(PAQ) = 2/5 = QA/PQ

cot(PBQ) = 3/5 = QB/PQ

cot(PAQ) / cot(PBQ) = (2/5) / (3/5) = 2/3

cot(PAQ) / cot(PBQ) = (QA/PQ) / (QB/PQ) = QA / QB

QA / QB = 2/3

QA = (2/3) QB

QB = (3/2) QA

By the Pythagorean Theorem we have:

(QA)² + 32² = (QB)²

(QA)² + 32² = (3/2 QA)²

(QA)² + 1024 = (9/4) (QA)²

(5/4) (QA)² = 1024

(QA)² = (4/5)1024 = 4096/5

QA = 64/√5

Solve for PQ.

cot(PAQ) = QA/PQ

PQ = QA / cot(PAQ)

PQ = (64/√5) / (2/5) = 32√5

The height of the tower is 32√5.

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