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Bingel [31]
3 years ago
5

Theresa is planning on making a fleece blanket for her nephew. She learns that the fabric she wants to use is $7.99 per yard . F

ind the total cost of 4 yards of fabric
Mathematics
1 answer:
crimeas [40]3 years ago
5 0
Theresa would have to pay $31.96 for 4 yards of fabric.
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A factory produced a batch of handheld video games, but 4% of the games were found to be defective. If the batch had 250 games i
nirvana33 [79]

Answer:

the answer is 240

Step-by-step explanation:

If 4% are defective, then out of a batch of 250, the number of defective is

4% x 250 = 4/100 x 250 = 10 defective

So, the number of not defective is 250 - 10 = 240 good!

8 0
3 years ago
Suppose that $3000 is placed in an account that pays 16% interest compounded each year. Assume that no withdrawals are made from
Papessa [141]

Answer:

a) $3480

b) $4036.8

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Suppose that $3000 is placed in an account that pays 16% interest compounded each year.

This means, respectively, that P = 3000, r = 0.16, n = 1

So

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 3000(1 + \frac{0.16}{1})^{t}

A(t) = 3000(1.16)^{t}

(a) Find the amount in the account at the end of 1 year.

This is A(1).

A(t) = 3000(1.16)^{t}

A(1) = 3000(1.16)^{1} = 3480

(b) Find the amount in the account at the end of 2 years.

This is A(2).

A(2) = 3000(1.16)^{2} = 4036.8

4 0
3 years ago
1. Determine if each of the following triangles is a right-angled triangle. For each right-angled triangle, state the right angl
Westkost [7]
You can use trigonometry specially the cos rule in this case. I can’t send the other pictures. But using the cos rule you can check whether the angle is 90

8 0
3 years ago
3. What are the roots of the polynomial y = x³ - 8?
zzz [600]

Step-by-step explanation:

x^3 is a perfect cube, 8 is a perfect cube, so we use difference of cubes.

{a}^{3}  -  {b}^{3}  = (a - b)( {a}^{2}  + ab +  {b}^{2} )

Cube root of x^3 is x.

Cube root of 8 is 2

So

a=x

b= 2.

(x - 2)( {x}^{2}  - 2x + 4)

Set these equations equal to zero

x - 2 = 0

x = 2

{x}^{2}  - 2x + 4 = 0

If we do the discriminant, we get a negative answer so we would have two imaginary solutions,

Thus the only real root is 2.

If you want imaginary solutions, apply the quadratic formula.

1 + i  \sqrt{ 3 }

and

1 - i \sqrt{3}

4 0
2 years ago
A number cube with the numbers 1 through 6 is rolled. What is the probability of the number cube showing a 3 or a multiple of 3?
VLD [36.1K]
Total number of possible outcomes = 6

Total number of outcomes with 3 or multiple of 3 = 2
They are 3 and 6

P(3 or multiple of 3) = 2/6 = 1/3

Answer : 1/3
4 0
4 years ago
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