A bank offers a savings account which pays 3% interest per year. The amount of money in the account after t years is represented by the expression P(1+i/n)^nt, where P represents the initial amount of money invested, n represents the number of times per year the interest is compounded, i represents the interest rate, and t represents the number of years the money has been invested. Which statement describes what happens with the savings account when the interest is compounded monthly instead of yearly? Select two options

•The variable t will not change because it is a factor that is independent of n.

•The variable P will not change because it is a factor that is independent of n.

•The variable t will change because it is a factor that is multiplied by n.

•The variable P will change because it is multiplied by a factor that is dependent on n.

•The variable i will change because it is a factor that is dependent on n.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

the probability that a bird is green (.30) is true

step-by-step explanation:

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %