Two questions, twenty per question! 1. after 3 years, what is the total amount of a compound interest investment of $5,000 at 4% interest, compounded quarterly? $5,203.71 $5,360.68 $20,480,000 $5,634.13 2. the bird population on an island is declining at a rate of 5% per year. the bird population on the island was 3,200 in the year 2015. which answer is the best prediction of the bird population on the island in the year 2025? use the formula b(1−r)^t, where b is the initial amount, r is the rate of decline, and t is the amount of time in years. 1,758 5,212 1,916 2,476

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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