The amount of money, in dollars, in an account after t years is given by a = 1000(1.03)t. the initial deposit into the account was $a0 and the interest rate is a1% per year. only enter numbers in the boxes. do not include any commas or decimal points.

Initial value, a0 = $1000

Rate of interest, a1 = 0.03 = 3%

Step-by-step explanation:

The amount of money in an account after t years is given by the expression :

where P is the initial amount or the Principal value of the account, n is the number of times the interest is compounded in a year.

Now, According to question, the amount of money in an account after t years is given by the expression :

Now, on comparing the above expression with (1),

We get, P = 1000 , Time = t years , n = 1 and Rate = 0.03

Hence, Initial value, a0 = $1000

Rate of interest, a1 = 0.03 = 3%

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: