$620 is invested in an account earning 2.5% interest (APR), compounded quarterly. Write a function showing the value of the account after t t years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.

Kindly check explanation

Step-by-step explanation:

Given the following :

Principal (P) = $620

Annual percentage rate (r) = 2.5% ; compounded quarterly = 2.5% / 4 = 0.025 / 4 = 0.0063

Period = t

Expression for value of account(A) :

A = P(1 + r)^t*4

A = 620(1 + 0.0063)^4t

Hence, the annual growth percentage can be found thus :

( 1 + r)^4 - 1 ; since compounding occoyrs 4 times a year

[(1 + 0.0063)^4] - 1

1.0063^4 - 1

= 1.0254391417632961 - 1

= 0.0254

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).

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: