The population of a city can be modeled by the expression P(1.06)^t where T represents the number of years since 1990 and P represents the population in 1990. Which statement is correct

D. the yearly growth rate of the population is 6%

Step-by-step explanation:

Given the exponential growth function : P(1.06)^t

Recall the general form of the function :

P(t) = P0(1 + r)^t

Where, P0 = Initial population ; r = rate ; t = time

Comparinv the equation and the function Given :

We can Evaluate :

1 + r = 1.06

r = 1.06 - 1

r = 0.06

To percentage :

0.06 * 100%

= 6%

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!