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3 years ago

Please please help please

Mathematics

1 answer:

masha68 [24]3 years ago

3 0

Answer:

4 times larger

Step-by-step explanation:

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STatiana [176]

Sum of interior angles of a △ = 180°

∴ ∠T + ∠V + ∠U = 180°

⇒ 37° + 63° + X° = 180°

⇒ X° + 100 = 180°

⇒ X° = 180° - 100°

⇒ X° = 80° (D).

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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.

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3 years ago

Put the following equation of a line into slope-intercept form, simplifying all

lisabon 2012 [21]

Answer:

y = -5x-9

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

10x + 2y = -18

Subtract 10x from each side

10x + 2y-10x =-10x -18

2y = -10x-18

Divide each side by 2

2y/2 = -10x/2 -18/2

y = -5x-9

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3 years ago

A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square?

BaLLatris [955]

We will use this formula = 1/2 × base × height

And thus

1/2 × 8 ×8

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3 years ago

Which expression is equivalent to 21 × 7?

belka [17]

I wanna say the answer is A

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3 years ago