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3 years ago

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Mathematics

1 answer:

Alex Ar [27]3 years ago

4 0

She needs at least 130 points, so 130 - 75 (that she is earning from the sign up) = 65 points.

65 : 5,5 = 11,81 ≈ 12

So she has to sign up and visit he movie theatre at least 12 times to earn a movie ticket.

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hank has a triangular rug in his bedroom. the perimeter of the rug is 14 feet . two of the side lengths are 6 feet . what is the

Mariana [72]

Answer:

The 3rd side of the rug is 2 ft long

Step-by-step explanation:

6+6=12

14-12=2

2 ft long

4 0

3 years ago

Kylo bought a pizza for $12.75 and four medium drinks at Pauli's Pizza. Define a variable and write an expression to represent t

mylen [45]

Answer:

Step-by-step explanation:

Let d be the cost of a drink. The expression for the cost of the pizza and 4 drinks is

12.75 + 4d

If each drink costs $3, then

12.75 + 4(3) simpifies to

12.75 + 12 which equals 24.75

3 0

3 years ago

A principal of $2600 is invested at 7% interest, compounded annually. How much will the investment be worth after 13 years?

AveGali [126]

Answer:

The total amount accrued, principal plus interest, from compound interest on an original principal of $ 2600 at a rate of 7% per year compounded 1 time per year over 13 years is $ 6266.

Step-by-step explanation:

Given

Principle P = $2600

Interest rate r = 7% = 0.07

Time period t = 13 years

Compounded annually means: n = 1

To determine

Accrued Amount = ?

Using the formula

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

substituting P = 2600, r = 0.07, t = 13, n = 1

$A\:=\:2600\left(1\:+\:\frac{0.07}{1}\right)^{1\left(13\right)}$

$A=2600\left(1+0.07\right)^{1\cdot \:13}$

$A = 6266$ $

Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 2600 at a rate of 7% per year compounded 1 time per year over 13 years is $ 6266.

4 0

3 years ago

Triangle DEF is the image of triangle ABC after a sequence of transformations. After you reflect ABC in the y-axis, what must yo

Artemon [7]

Answer:

Step-by-step explanation:

After reflection about y-axis, A'B'C' must be translated down 6 units to create image DEF.

ABC and DEF are congruent due to the following common properties of reflections and translations.

1. does not change the nature of geometric elements, i.e. maps a line to a line, a segment to a segment, etc.

2. preserve lenths of segments.

3. preserves angles

By the congruent theorem of SSS, the two triangles are congruent.