2 years ago

1. Solve exponential equations: ax=b, where a>0, a≠1, b>0

Mathematics

1 answer:

Brums [2.3K]2 years ago

5 0

Answer:

$x=log_{a}b$

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The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another eleme

kow [346]

Answer:

The correct solution is "4.6".

Step-by-step explanation:

Given:

Interest rate,

r = 6.2%

or,

= 0.062

Amount,

A = 100000

Principle,

P = 76000

As we know,

⇒ $A=P(1+\frac{r}{100} )^n$

On substituting the values, we get

⇒ $100000=76000(1+\frac{6.2}{100} )^n$

⇒ $(1+0.062)^n=\frac{100}{76}$

On taking log both sides, we get

⇒ $n \ log_e(1.062)=log_e(\frac{100}{76} )$

⇒ $n=\frac{ln(\frac{100}{76} )}{ln(1.062)}$

By putting the values of log, we get

⇒ $=4.5622$

or,

⇒ $=4.6$

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2 years ago

(True or False) The Long Division symbol is the same as the Radical (Root) symbol?

Dmitriy789 [7]

Answer:

false

Step-by-step explanation:

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2 years ago

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(A) {(-6,2), (3, 4), (4,4), (5, 6)}<br> DOMAIN:<br> RANGE:<br> Is the relation above a function?

vovikov84 [41]

Answer:

Yes

Step-by-step explanation:

Domain: {-6, 3, 4, 5}

Range: {2, 4, 6}

This relation is a function.

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2 years ago

A destroyer on patrol spots an aircraft at an altitude of 10,000 ft and an angle of elevation of 20⁰. How far is the aircraft fr

Reika [66]

$sin= \frac{opp}{hyp} \\\\sin (20) = \frac{10000}{hyp}\\\\hyp= \frac{10000}{sin(20)} \\\\hyp= 29238 ft$

The aircraft is 29238 ft from the ship

Note: this is based on my assumption that we are looking for the hypotenuse.

If we are looking for the adjacent side, then the answer would be 27475 ft.

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2 years ago

2.16 (the 6 is repeating) as a fraction (no improper fractions)

serg [7]

Answer:

2 4/25

Step-by-step explanation:

First, I made the decimal into 2 16/100. Then, keep simplifying the 16/100 until it is fully simplified.

6 0

3 years ago