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3 years ago

(URGENT) Can someone please help me with this? Thank you! :)

Mathematics

1 answer:

Murrr4er [49]3 years ago

7 0

The remainder theorem tells you that when you do synthetic division with the 6, the remainder will be the same value as when you evaluate the function with the value of 6. The answer is 15

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Find the amount A accumulated after investing $4800 for 17 years at an interest rate 6.2% compounded quarterly.

Nostrana [21]

Answer:

A = $13,660.81

Step-by-step explanation:

P (principal) = $4,800.00

I (interest) = $8,860.81

First, convert R as a percent to r as a decimal

r = R/100

r = 6.2/100

r = 0.062 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 4,800.00(1 + 0.062/4)(4)(17)

A = 4,800.00(1 + 0.0155)(68)

A = $13,660.81

8 0

2 years ago

Please help me on this.

Nonamiya [84]

Answer:

The third option. (the one where it intersects on the y line)

Step-by-step explanation:

If you solve for the system of equations, you will find that it is (0,3), so it intersects on the y line. Additionally, it is on the top because it is positive.

8 0

3 years ago

Without solving the equation, determine the nature of the roots of x^2 - 2x - 8 = 0.

noname [10]

Answer:

two real, unequal roots

Step-by-step explanation:

This is a quadratic equation. The quadratic formula can be used to determine how many and what kind of roots may exist:

Find the discriminant, which is defined as b^2 - 4ac, if ax^2 + bx + c = 0. In this case, a = 1, b = -2 and c = -8, so that the discriminant value is

(-2)^2 - 4(1)(-8), or 4 + 32 = 36.

Because the discriminant is real and positive, we know for certain that we have two real, unequal roots

3 0

2 years ago

Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find t

sladkih [1.3K]

Answer: Width would become 21 and length would become 33. Original perimeter is 100, increased perimeter is 108 which is a 7.69% increase

6 0

2 years ago

Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance

alexgriva [62]

Answer:

96.512 °F < x < 591.242 °F

Step-by-step explanation:

We are given;

Melting point = 35.84 °C

Boiling point = 310.69 °C

Now, we are given that formula to convert °C to °F is;

°C = (5/9)°F

Thus if the temperature in Fahrenheit is x, then;

Melting point is; 35.84 °C = (5/9)x°F - "32"

x = ((9 × 35.84)/5) + 32

x = 96.512 °F

Similarly, for Boiling point;

Boiling point is;

310.69 °C = (5/9)x°F - "32"

x = ((9 × 310.69)/5) + 32

x = 591.242 °F

Now, we are told that matter is in its liquid form when it is between melting and boiling point.

Thus, range of x in inequality form is;

96.512 °F < x < 591.242 °F

6 0

2 years ago