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3 years ago

−2x + 2y = −5 5x − 6y = 8

Mathematics

1 answer:

larisa86 [58]3 years ago

4 0

Answer:

y= 5x/6-4/3 y=x-5/2

Step-by-step explanation:

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You deposit $4300 in an account that earns 2% per year simple interest. The equation that represents this situation is: A(n) = 4

Likurg_2 [28]

Answer: $4902

Step-by-step explanation:

Amount = P (1 + rt)

= 4300 (1 + .02 * 7)

= 4300 (1 + .14)

= 4300 (1.14)

= 4902

3 0

3 years ago

If B is the midpoint of AC, solve for x, and find the lengths of AB, BC, and AC.

makvit [3.9K]

Answer:

49, 49 , 98

Step-by-step explanation:

AC = AB + BC = 2AB

3x - 31 = 2(x+6)
3x - 31 = 2x + 12
3x - 2x = 12 +31
x = 43

AB= BC = x + 6 = 43 + 6 = 49

AC = 2AB = 2* 49 = 98

7 0

3 years ago

Find the Antilog of 547.840

bija089 [108]

Answer:

It's impossible because the figure is greater than 10

Step-by-step explanation:

${ \boxed{ \bf{antilog \: of \: x = \frac{x}{ log} = {10}^{x} }}}$

Therefore:

${ \sf{anti(547.840) = {10}^{547.840} }} \\ { \tt{ \red{math \: error \: !}}}$

3 0

3 years ago

What are the amplitude, period, and phase shift of the given function? f(t)=-2/3 cos (3t-3pi)

dybincka [34]

Answer:

amplitude; $\frac{2}{3}$

Phase shift; $\pi$ units right

Period; $\frac{2\pi}{3}$

Step-by-step explanation:

The given function is

$y=-\frac{2}{3}\cos(3t-3\pi)$

This function is of the form;

$y=A\sin (Bt+C)$

The period is given by:

$|A|=|-\frac{2}{3}|= \frac{2}{3}$

The period is given by:

$T=\frac{2\pi}{|B|}= \frac{2\pi}{|3|}=\frac{2\pi}{3}$

The phase shift is given by;

$\frac{C}{B}=\frac{-\3pi}{3}=- \pi$ or $\pi$ units right.

4 0

3 years ago

A local petting zoo had a total of 98,464 visitors last year. The zoo was open every day except thanksgiving, Christmas, and New

riadik2000 [5.3K]

Answer:

The average number of visitors per day is 272.

Step-by-step explanation:

Total number of visitors in the zoo in a year = 98,464

Now,we know that 1 YEAR = 365 DAYS

Also, the zoo was closed on thanksgiving, Christmas, and New Year's Eve

So, the Number of days zoo was open = Total Days in year - 3 days

= 365 - 3 = 362 days

⇒Number of visitors in 362 days = 98,464

So, $\textrm{Number of visitor per day} = \frac{\textrm{Total number of visitors in 352 days}}{\textrm{352 days}}$

$= \frac{98,464}{362} = 272$

or, the number of people visiting per day is 272.

Hence, the average number of visitors per day is 272.

8 0

3 years ago