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Ira Lisetskai [31]

2 years ago

12

Duncan earned $22 in interest. If his investment paid 2.5% and he invested his money for 6 months, how much money did he origina

lly invest?
Show work please

1 answer:

anyanavicka [17]2 years ago

6 0

Answer:

For one month:22*.025=.55

For 6 moths: 6*.55 =3.3

The answer is 3.3 $

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A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school coll

kramer

Answer:

11

Step-by-step explanation:

The two equations appear to be ...

12x +4y = 152
32x +12y = 420

These can be solved for y using Cramer's rule:

y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11

The cost of the vegetarian lunch is 11.

_____

<em>Comment on Cramer's Rule</em>

For equations ...

ax +by =c

dx +ey = f

The solutions are ...

x = (bf -ey)/(bd -ea)

y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression

Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.

8 0

3 years ago

Answers are <br> A:4 square root 5<br> B:16<br> C:6<br> D:8 square root 5

julia-pushkina [17]

Answer:

$\large\boxed{A:\ 4\sqrt5}$

Step-by-step explanation:

<em>Look at the picture.</em>

ΔABC and ΔADB are similar. The corresponding angles are in proportion:

$\dfrac{AB}{AC}=\dfrac{AD}{AB}$

We have:

$AB=x,\ AC=5+11=16,\ AD=5$

Substitute:

$\dfrac{x}{16}=\dfrac{5}{x}$ <em>cross multiply</em>

$x^2=(16)(5)\to x=\sqrt{(16)(5)}$ <em>use √ab = √a · √b</em>

$x=\sqrt{16}\cdot\sqrt5\\\\x=4\sqrt5$

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vitfil [10]

Answer:

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Step-by-step explanation:

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3 years ago

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shtirl [24]

You would foil (x+1)(x+11)

x^2 + 12x + 11

8 0

3 years ago