Solve this application using logarithms. how much principal, to the nearest dollar, should you invest at 4% in order to have $3,000 for a vacation to europe in 3 years? ≈ $ a0

We have given amount after 3 years = $3,000.

Rate of interest = 4%.

Number of years = 3 years.

We know compound interest formula.

Note: We can use compound interest formula directly. No log required there.

A=P(1+r)^t

Plugging values in formula, we get

We need to solve it for P now.

Dividing both sides by (1.04)^3, we get

(1.04)^3 = 1.124864

Dividing 3000 by 1.124864, we get

P = 2666.99

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !

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step-by-step explanation: