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3 years ago

Find the simple interest to the nearest cent. $300 at 7.5% for 5 years

Mathematics

1 answer:

Semenov [28]3 years ago

7 0

Answer:

$412.5

Step-by-step explanation:

7.5*5=37.5

300*0.375=112.5

300+112.5=412.5

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Please need help on this

Alex

Answer:

there is an 88% chance it will land on teal, because if you do 16/18, you get 0.8 repeating. then, you multiply by 100 and get 88%

4 0

3 years ago

!!MATH GENIUSES HELP ME!!

seraphim [82]

Answer:

Step-by-step explanation:

Let x be Bill’s scores.

Let y be Theo’s scores.

x + y = 90

x² = y

Solve for x in the second equation.

x = √y

Put x as √y in the first equation and solve for y.

√y + y = 90

√y = 90 - y

y = (90 - y)²

y = - y² - 180y - 8100

0 = -y² - 181y - 8100

0 = (-y+81)(y-100)

-y+81=0

y = 81

y - 100 = 0

y = 100

100 does not work if we plug in to check, so y is 81.

y = 81

Put y as 81 in the first equation and solve for x.

x + 81 = 90

x = 9

Bill scored 9 goals and Theo scored 81.

8 0

3 years ago

7x-3y = 10<br>-3x-8y= 5

victus00 [196]

My answer would be y=-1

6 0

4 years ago

Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha

Nookie1986 [14]

Answer:

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ . The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

If we know that $(3, -30)$ , $(-2, 0)$ and $(18, 0)$ are part of the parabola, the following linear system of equations is formed:

$9\cdot a +3\cdot b + c = -30$

$4\cdot a -2\cdot b +c = 0$

$324\cdot a +18\cdot b + c = 0$

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

$a = \frac{2}{5}$ , $b = -\frac{32}{5}$ , $c = -\frac{72}{5}$ .