The question is to find x

Mathematics

1 answer:

slava [35]3 years ago

3 0

Answer:

x =5

Step-by-step explanation:

Tangents from same external point have equal length.

KJ = LJ

4x - 1 = 2x + 9

Add 1 to both sides

4x = 2x + 9 + 1

4x = 2x + 10

Subtract '2x' from both side

4x - 2x = 10

2x= 10

Divide both sides by 2

x = 10/2

x = 5

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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,

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