Which expression has a solution of 27, if r = 3?

Mathematics

2 answers:

Norma-Jean [14]2 years ago

8 0

Answer:

rx9

Step-by-step explanation:

9x3=27

lisov135 [29]2 years ago

3 0

Answer:

9r = 27

Step-by-step explanation:

Have a great day <3

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8000$ is invested in an account the yields 6% interest per year. After how many years will the account worth 13709.60$ if the in

ozzi

Answer:

After 9 years the account will be worth 13709.60$

Step-by-step explanation:

We are given the following in the question:

We are given the following in the question:

P = $8000

r = 6% = 0.046

n = 12

The compound interest is given by:

$A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}$

where A is the amount, p is the principal, r is the interest rate, t is the time in years.

Putting the values, we get,

$13709.60 = 8000\bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\dfrac{13709.60}{8000} = \bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\Rightarrow 1.7137 = (1.005)^{12t}\\\Rightarrow t \approx 9$