Nate has an account that pays 2.76% simple interest per year and wants to accumulate $3,090 in interest from it over the next 15 years. how much money should nate invest in this account to meet this goal? a.$1,279.26b.$4,369.26c.$4,373.77d. $7,463.77

d. $7,463.77

Step-by-step explanation:

The formula to calculate the simple interest is given by :-

, where P is the principal amount , r is the rate of interest ( in decimal) and t is time ( in years).                                                (1)

Given : Nate has an account that pays 2.76% simple interest per year and wants to accumulate $3,090 in interest from it over the next 15 years.

i.e. I= $3,090  ;  r= 2.76% =0.0276   and t= 15 years

Then, from (1), we have

Hence, the amount of money Nate should invest in this account to meet this goal = $7,463.77

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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