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vodomira [7]
3 years ago
15

Logarithmic and Exponential Forms of Equations In Exercise,Write the logarithmic equation as an exponential equation,or vice ver

sa.
In 0.2 = - 1.6094...
Mathematics
1 answer:
lesantik [10]3 years ago
4 0

Answer:

e^-1.6094 = 0.2

Step-by-step explanation:

The inverse of In is e

If In 0.2 = -1.6094

Then e^-1.6094 = 0.2

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Find out how long it takes a ​$ investment to double if it is invested at compounded . Round to the nearest tenth of a year. Use
BabaBlast [244]

Answer:

(A) 8.8 years

Step-by-step explanation:

Given that the principal amount = $ 3100

Rate of compound interest = 8% compounded semiannually.

The given formula is

A=P\left(1+\frac{r}{n}\right)^{nt}

Where A is the final amount, P is the principal amount, r is the rate of compound interest, t is the time and n is the number of times per year the interest is compounded.

From the given condition,

P=$3100

r= 8%=0.08 compounded semiannually

n=2

A=2 x 3100=$ 6200.

Put all these in the given formula to get the required time, we have

6200=3100\left(1+\frac{0.08}{2}\right)^{2t}

\Rightarrow \left(1+0.04\right)^{2t}=6200/3100

\Rightarrow 1.04^{2t}=2\\\\\Rightarrow 2t\log_{10}(1.04)=\log_{10}(2)\\ \\\Rightarrow 2t =\frac{\log_{10}(2)}{\log_{10}(1.04)}\\\\\Rightarrow 2t =17.673\\\\\Rightarrow t = 17.673/2=8.8365\\

On rounding to the nearest tenth of a year, t=8.8 years.

So, the invested amount will be double in  8.8 years.

Hence, option (A) is correct.

7 0
2 years ago
Joey buys a home for $263,000. His home is predicted to increase in value 5% each year.
ipn [44]

Answer:

$890,611.35   :)

Step-by-step explanation:

First, we determine the equation.

Y=263,000(1+0.05)^{x}

890,611.35

7 0
2 years ago
Read 2 more answers
Jayden deposited $7100 in a savings account with simple interest. Three months later, the account held $7,259.75. what was the i
Novosadov [1.4K]

Answer:

Step-by-step explanation:

7259.75 - 7100 = 159.75

he earned 159.75 in interest

159.75/ 7100= .0225

and if you convert that to percentages then its 2.25%

8 0
3 years ago
-2 8/9 as a decimal and how to get it
slavikrds [6]

Answer: -2.88889

Step-by-step explanation:

calculate the approimate value

8 0
3 years ago
Answer asap!!! which equation could be used to find the perimeter of a rectangle that has a width of 10 inches and a length of 2
Arlecino [84]

Answer:

d. p = 2*20 + 2*10

Step-by-step explanation:

You know to find the perimeter, just add side + side + side + side.

And two pairs of sides on a rectangle are congruent, so the missing side lengths based on the width and length, will be 20 & 10.

So add 20 + 20 + 10 + 10.

To simplify this, say 2*20 and 2*10. And then add them.

So it is D

5 0
2 years ago
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