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2 years ago

How many solutions does the system y = 2x + 9 and y + -4x - 8 have?

1 answer:

7 0

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Smallest to largest 7/12 1/2 2/3 4/10 1/6

hodyreva [135]

The order is 1/6, 4/19, 1/2, 7/12, 7/12, and 2/3.

5 0

3 years ago

A Fulcrum of a Pyramid is 6cm Square at the

Len [333]

Answer:

288 cubic cm

Step-by-step explanation:

Volume of the pyramid = 1/3 * base area * height

Base area = 12 * 12

Base area - 144 sq. cm

Height = 6cm

Volume of the pyramid = 144 * 6/3

Volume of the pyramid = 144 * 2

Volume of the pyramid = 288 cubic cm

4 0

3 years ago

Two angles of a triangle are 30°and 80°. Find the third angle.

stiv31 [10]

Answer:

The third angle of the triangle is 70°.

Step-by-step explanation:

The two angles of a triangle (say Δ ABC) are given to be 30° and 80°.

We have to find the third angle.

Let us assume that ∠ A = 30° and ∠ B = 80°, then we have to find ∠ C.

Now, we know that, ∠ A + ∠ B + ∠ C = 180° {Property of a triangle}

⇒ 30° + 80° + ∠ C = 180°

⇒ ∠ C = 180° - 30° - 80° = 70°

Therefore, the third angle of the triangle is 70°. (Answer)

7 0

3 years ago

Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until

alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

Month 0 (first payment)

$250

Month 1

$250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})$

Month 2

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)$

Month 3

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)$

Month 24 (2 years)

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})$

The sum

$1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}$

is the sum of the first 24 terms of a geometric sequence with common ratio $\frac{12.04}{12}$ which is

$\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071$

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

6 0

3 years ago

Luke was given a gift card for a coffee shop. Each morning, Luke uses the card to buy one cup of coffee. The original amount of

GaryK [48]

Answer:

A= −3x+30

A=30 when x=0 which is the y−intercept.

(0,30) is a point on the graph

A=12 when x=6.

Find the slope using the two points

12-30/6-0= -18/6=-3

3 0

3 years ago