A person invests 9500 dollars in a bank. The bank pays 5% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 13200 dollars?

6.58 years

Step-by-step explanation:

Step one:

Given data

Principal=$9500

rate= 5%= 0.05

Final amount= $13200

Required:

The time t

Step two

The expression for the compound interest is

t = ln(A/P) / r.

substitute

t = ln(13200/9500) /0.05

t= ln(1.39)/0.05

t=0.329/0.05

t=6.58 years

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).