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mars1129 [50]
2 years ago
6

Assume that y varies directly as x then solve. If x = 12 when y = 15 find x when y = 21.

Mathematics
2 answers:
Viefleur [7K]2 years ago
7 0

Answer:

18

Step-by-step explanation:

12 and 15 are both dividable by 3 and 3 apart so if you subtract 21 by 3 than you get 18

SVETLANKA909090 [29]2 years ago
5 0

Answer:

18 or 16.8

Step-by-step explanation:

if x=12 and y=15, this can be written as y=x+3 or y=1.25x

so  your equation becomes x+3=21 or 1.25x=21

subtract 3 from both sides, or divide by 1.25

and you get x=18 or x=16.8

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Graph the linear equation 3x - y = 12. Write the equation in slope-intercept form,
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3 years ago
Tom and Jerry both invested the same amount for 8 years. If Tom’s rate of return is 9% and Jerry’s rate is 10% compounded annual
Margarita [4]

Answer:

The correct option is;

(f) 7.6%

Step-by-step explanation:

The given parameters are;

The number of years Tom and Jerry are investing their money, t = 8 years

The rate of return for Tom's investment, r₁ = 9%

The rate of return for Jerry's investment, r₂ = 10%

The rate at which the interest is compounded, n = Annually =  1

Let P represent the equal amount of money each of Tom and Jerry invested separately

The amount, A, of the investment is given by the following formula;

A = P \times \left (1 + \dfrac{r}{n} \right ) ^{n \times t}

Substituting the known values for Tom, gives;

A = P \times \left (1 + \dfrac{0.09}{1} \right ) ^{1 \times 8} = P \times 1.09^8 \approx 1.993\cdot P

The amount Tom has after 8 years ≈ 1.993·P

Substituting the known values for Jerry, gives;

A = P \times \left (1 + \dfrac{0.1}{1} \right ) ^{1 \times 8} = P \times 1.1^8 \approx 2.144\cdot P

The amount Jerry has after 8 years ≈ 2.144·P

The percentage amount Jerry has more than Tom after 8 years, PA is given as follows;

PA = \dfrac{2.144 \cdot P - 1.993 \cdot P}{1.993 \cdot P} \times 100 = 7.57651781234\% \approx 7.6 \%

The amount Jerry will have after 8 years than Tom = PA ≈ 7.6%.

5 0
3 years ago
Cedric and Insha solved the same equation using the calculations below.
Mariulka [41]

The first working out is correct, z = 3

3 0
3 years ago
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