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2 years ago

A bank account has a beginning balance of $460.00. After 6 months, the balance in the account has increased to

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

3 0

****************DISCLAIMER****************

might not be right, im pretty sure tho

Answer:

the annual interest return rate is .025 i believe.

Step-by-step explanation:

after 6 months the money increased by 5.75 bucks.

the 6 month return rate was .0175, so double that to get the annual rate.

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Write an equivalent expression for- <br> 3 (4+2)

aliya0001 [1]

Just simplify it :18

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3 years ago

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A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou

gogolik [260]

Answer: In degrees , The measure of $\theta=65.5^{\circ}$

In radians , the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

Step-by-step explanation:

We know that the formula for length of arc is given by :-

$l=\theta r$

, where $\theta$ = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l= 8 m

Substitute these values in the above formula , we get

$8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}$

Hence, the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

To convert it into degrees we multiply it with $\dfrac{180^{\circ}}{\pi}$

The measure of $\theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}$

$=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}$

$\approx65.5^{\circ}$

Hence, the measure of $\theta=65.5^{\circ}$

8 0

3 years ago

Determine the discriminant for the given equation x^2+4x+5=0. Then describe the roots(how many and what type).

Fed [463]

Discriminant = b^2 - 4ac, where a, b and c come from the form of the quadratic equation as ax^2 + bx + c

Discriminant = (4)^2 - 4(1)(5)
= 16 - 20
= -4

-4 < 0, therefor there are no roots

(If the discriminant = 0, then there is one root
If the discriminant > 0, there are two roots, and if it is a perfect square (eg. 4, 9, 16, etc.) then there are two rational roots
If the discriminant < 0, there are no roots)

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3 years ago

7-ounce package costs $2.59. A 12 ounce package costs $4.56. An 18 ounce package costs $6.30. Which package is the best buy?

Yanka [14]

Answer:

18 ounce package for $6.30

Step-by-step explanation:

For each one, you divide the money by the package to see how much it is per ounce.

2.59 / 7 = $0.37 per oz

4.56 / 12 = $0.38 per oz

6.30 / 18 = $0.35 per oz

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3 years ago

-4x+2(x-3)>4x-(3+5x)-7

Archy [21]

I hope this helps you

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2 years ago