The error in the equation

Mathematics

2 answers:

Valentin [98]3 years ago

5 0

Answer:

I a=-3/4

Step-by-step explanation:

4-3=(42)2a

same bases

-3/4=4a/4

=-3/4

sergeinik [125]3 years ago

4 0

Answer:

a = -3/4

Step-by-step explanation:

1/64 = 16 ^(2a)

4^ -3 = 2^4 ^(2a)

4^-3 =2^(8a)

The bases are not the same so the exponents cannot be equated yet

2^2^-3 = 2 ^(8a)

2 ^ (-6) = 2 ^(8a)

Now the bases are the same so we can equate the exponents

-6 = 8a

Divide each side by 8

-6/8 =a

-3/4 =a

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suppose you deposit $1000 in a savings account that pays 4.8% interest compounded monthly. Write an exponential function to mode

zubka84 [21]

Answer:

The exponential function is $A(t) = 1000(1.004)^{12t}$ .

You will have $1,100.55 in the account after 2 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.

This means that $P = 1000, r = 0.048, n = 12$ . So