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3 years ago

What are the slope, m, and y-intercept, (0,b), of the line described by the equation 3x+6=12

Mathematics

1 answer:

alina1380 [7]3 years ago

7 0

Answer:

slope=3,y-intercept=6

Step-by-step explanation:

Slope is the rate of change so It is an independent variable and has an x at the end

The y-intercept is the initial value which is technically the start off and the number 6 seems to be a dependent variable.

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Belinda will earn $46,000 her first year working as an interior designer with annual raises of 10%. What are her total earnings

Musya8 [376]

I believe this is the answer

6 0

3 years ago

An observer stands 25 feet from the base of a flagpole and watches a flag being lowered at a rate of 5 ft/sec. Determine the rat

Sedaia [141]

Answer:

0.1 rad/s

Step-by-step explanation:

Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft

Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians

Remember that the tan of an angle is OPP/HYP, and so

tan A = h/25, on differentiating, we have

d tan A/dA = sec^2 A = (1/25) dh/dA

Next, we have

25 sec^2 A * dA/dt= dh/dt = 5

Making dA/dt the subject of formula, we have

dA/dt = (1/5) cos^2 A

but cos^2 A from trigonometry = 1/2, this means that

dA/dt = .1 radians/second

If you want to convert to degrees, your have

.1 Rad/s( 180 deg/rad) = 18 degrees/second

3 0

3 years ago

At an electronics store, a $165 television is marked up 110%. Dave purchases the TV and must pay 6.5% sales tax. What is his fin

Mariana [72]

Firstly, we need to know the price of the TV after the 110$ increase.
$165 x 1.10 = $181.50
[This is an increase of $16.50]
[1.10 is the equivalent of 110%. 1 being 100% and the .10 being 10%]

Now for the sales tax. We apply a similar method.
$181.50 x 0.065 = $11.79
6.5% of $181.50 is $11.79, so we add the two together to find the final cost.

The final cost of the TV is $193.29

4 0

4 years ago

In arithmetic sequence the first term is 5 and the common difference is 4. Determine the 6th term of sequence

Harlamova29_29 [7]

Answer:

The 6th term of the sequence is 25

Step-by-step explanation:

first term = a = 5

common difference = d = 4

The nth term of a sequence is

T_n = a + (n - 1)d

Therefore, the 6th term of the sequence is

T_6 = a + (6 - 1)d

T_6 = a + 5d

T_6 = 5 + 5(4)

T_6 = 5 + 20

T_6 = 25

3 0

3 years ago

Please help with this math

gladu [14]

Answer:

$\boxed{\textsf{ The correct option is \textbf{ option C } . }}$

Step-by-step explanation:

Given that Sara bought a car for $ 23,000 . The interest of loan is 2 .5% . And we need to write a equation g(t) to represent the amount of money that she will owe after t years. Also the amount is compound annually . We know the formula of CI as ,

Compound Interest :-

$\qquad\boxed{\boxed{ \sf CI =Amount\bigg( 1 +\dfrac{Rate}{100}\bigg)^{(time)} }}$

Let us take that ,

$\sf\implies f(x)=g(t)$

Put on the respective values :-

$\sf\implies f(x) = Amount\bigg( 1 +\dfrac{Rate}{100}\bigg)^{(time)} \\\\\sf\implies f(x)= 23,000 \bigg( 1 + \dfrac{2.5}{100}\bigg)^t\\\\\sf\implies f(x)= 23,000 \bigg( 1+\dfrac{25}{1000}\bigg)^t \\\\\sf\implies \boxed{\pink{\frak{ f(x)= 23,000 ( 1+0.025)^t }}}$

5 0

3 years ago