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3 years ago

Can I pls get some help!!!

Mathematics

1 answer:

Rufina [12.5K]3 years ago

8 0

Answer:

Step-by-step explanation:

If the current temp is -37, than you would need to increases the temp by 37 to get back to 0 degrees f

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Fran deposited 4869 into a savings account that pays simple annual interest rate of 3.25% how much interest will she earn after

Whitepunk [10]

Answer:

$395.61

Step-by-step explanation:

The formula for simple interest is:

$i=Prt$

Where

i is the interest amount

P is the principal amount

r is the rate of interest per time period

t is the time period

Here,

P = 4869

we want to find after 30 months, that converted to years is:

30/12 = 2.5 years

t = 2.5

The annual rate is 3.25% = 0.0325

Now, substituting, we find our answer:

$i=Prt\\i=(4869)(0.0325)(2.5)\\i=395.61$

The interest earned is $395.61

8 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 slope-intercept formula, 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 k and m.

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

Write this expression in a different way. 2x-438

yaroslaw [1]

2x-438 = -438+2x= 2(x-219)

3 0

4 years ago

What is f(-3) for the function f(a)=-2a^2-5a+4

Scorpion4ik [409]

F(-3) = -2(-3)^2 - 5(-3) + 4 = -2(9) + 15 + 4 = -18 + 19 = 1

8 0

3 years ago

Which characteristics did early Japanese, Chinese, and Korean civilizations share?

ipn [44]

Answer:They were nations at war that shared a common religion.

Step-by-step explanation:

edge

4 0

3 years ago