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3 years ago

5

Write 0.0166 correct to two significant figures.

1 answer:

s2008m [1.1K]3 years ago

6 0

Answer:

0.016

Step-by-step explanation:

hopefully i helpled

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Helene invested a total of $1,000 in two simple-interest bank accounts. One account paid 8% annual interest; the other paid 9% a

Lelu [443]

Answer: -600 and 1600 were invested into the two accounts.

Step-by-step explanation:

x = amount invested in the first account.

y = amount invested in the second account.

You start off with this equation

$x + y = 1000$

$0.08x + 0.09y=86$

Subtract both sides by y.

$x=1000-y$

Subsitude 1000 - x for x for the second equation.

$0.08(1000-y)+0.09y=$86$

Use the distributive property to solve for y.

$80-0.08y+0.09y=86$

$80-0.01y=86$

$6=-0.01y$

$=-600$

Subsitude -600 for y in the first equation and solve for x.

$x-600=1000$

$x=1600$

-600 and 1600 were invested into the two accounts.

4 0

2 years ago

A ten pound bag of cherries cost $33.50. How much is one pound of cherries?

Rashid [163]

Each pound costs $3.35. Hope this helped

3 0

3 years ago

Read 2 more answers

The variable, y, varies directly with x. If y = 26 when x = 21,<br> what is y when x = 64?

STatiana [176]

Answer:

y=69

Step-by-step explanation:

first step:when y=26 and x=21

c=y-x

c=26-21

c=5

second step: when y is unknown and x=64

To find y we simply add the value of c to x

y=x+c

y=64+5

y=69

6 0

3 years ago

Lines k and n intersect on the y-axis

avanturin [10]

a) The equation of line k is:

$y = -\frac{202}{167}x + \frac{598}{167}$

b) The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

The equation of a line, in <u>slope-intercept formula</u>, is given by:

$y = mx + b$

In which:

m is the slope, which is the rate of change.
b is the y-intercept, which is the value of y when x = 0.

Item a:

Line k intersects line m with an angle of 109º, thus:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

In which $m_1$ and $m_2$ are the slopes of <u>k and m.</u>

Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

$m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}$

The tangent of 109 degrees is $\tan{109^{\circ}} = -\frac{29}{10}$
Thus, the slope of line m is found solving the following equation:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

$-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}$

$m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2$

$m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}$

$\frac{167m_2}{80} = \frac{-202}{80}$

$m_2 = -\frac{202}{167}$

Thus:

$y = -\frac{202}{167}x + b$

It goes through point (-2,6), that is, when $x = -2, y = 6$ , and this is used to find b.

$y = -\frac{202}{167}x + b$

$6 = -\frac{202}{167}(-2) + b$

$b = 6 - \frac{404}{167}$

$b = \frac{6(167)-404}{167}$

$b = \frac{598}{167}$

Thus. the equation of line k, in slope-intercept formula, is:

$y = -\frac{202}{167}x + \frac{598}{167}$

Item b:

Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.

Thus, the slope of line j is:

$-\frac{202}{167}m = -1$

$m = \frac{167}{202}$

Then

$y = \frac{167}{202}x + b$

Also goes through point (-2,6), thus:

$6 = \frac{167}{202}(-2) + b$

$b = \frac{(2)167 + 202(6)}{202}$

$b = \frac{1546}{202}$

The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

A similar problem is given at brainly.com/question/16302622

7 0

2 years ago

It takes 15 people to play a 13 minute pool game. How many people would it take to play a 39 minute game?

Bumek [7]

Answer:

depends on how much beer is left

Step-by-step explanation:

3 0

2 years ago