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3 years ago

Find tea. Write your answer in simplest radical form

Mathematics

1 answer:

o-na [289]3 years ago

8 0

Answer:

2√6 ft

Step-by-step explanation:

Tan Ф = opposite/ adjacent

tan 60 = t / 2√2 ft

tan 60 = √3

t = (tan 60 )(2√2 ft)

t = (√3)(2√2 ft) = 2√6 ft

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Exponential growth/decay problem 1

RUDIKE [14]

Answer:

a) growth

b) $500

c) 6% = 0.06

d) $f(x)=500(1.06)^x$

e) $595.51

Step-by-step explanation:

Part (a)

Exponential GROWTH, since interest is applied to the account each year.

Part (b)

Initial amount = $500

Part (c)

Growth factor = 6% = 0.06 (in decimal form)

Part (d)

General form of exponential growth function:

$f(x)=a(1+r)^x$

where:

a = initial amount
r = rate of growth (in decimal form)
x = time (in years)

Given:

a = 500
r = 0.06

$\implies f(x)=500(1+0.06)^x$

$\implies f(x)=500(1.06)^x$

Part (e)

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$\begin{aligned}\implies f(3) & =500(1.06)^3\\ & = 595.51\: \sf(nearest\:hundredth)\end{aligned}$

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