The interest on an investment varies directly as the rate of interest. if the interest is $48 when the interest rate is
5%, find the interest when the rate is
7.9%.

75.84

Step-by-step explanation:

Interest(I) varies directly with the rate of interest(r) means there is some constant k such that I=k*r .

We are given when I=48 and r=0.05.  Plugging this in the equation I=k*r will allow us to find the constant, k, no matter the I and/or r asked to use later in the problem.

Substituting I=48 and r=0.05 into I=k*r gives:

48=k*0.05

Divide both sides by 0.05:

48/0.05 =k

Putting left hand side into the calculator:

960=k

So no matter the I or r, the equation I=960*r holds.

So we are asked to find I if r=0.079 .

I=960*r with r=0.079 gives:

I=960(0.079)

I=75.84

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75

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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