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4 years ago

Solve the inequality

Mathematics

2 answers:

schepotkina [342]4 years ago

8 0

Answer:

$\large\boxed{x\geq4}$

Step-by-step explanation:

$2x\geq8\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}\geq\dfrac{8}{2}\\\\x\geq4$

Sati [7]4 years ago

5 0

You will divide by 2 on each sides then x will be your answer

So x is greater than or equal to 4

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erastovalidia [21]

Answer:

$30

Step-by-step explanation:

Total amount paid by the hire purchase scheme:

$60 + 6 * $45 = $60 + $270 = $330

Total amount paid in just the cash price:

$300

Difference:

$330 - $300 = $30

3 0

3 years ago

I need help with this TnT

miv72 [106K]

all u are doing is adding them up

4 0

3 years ago

A) Draw the graph of y= 4x - 1 on the grid

UkoKoshka [18]

9514 1404 393

Answer:

see attached for a graph

x = 0.5 when y = 1

Step-by-step explanation:

The graph has a y-intercept of -1, which is halfway between 0 and -2. It goes up 4 units (2 vertical grid spaces) for 1 unit to the right (1 horizontal grid space). It seems to cross y = 1 at about x = 1/2.

x = 1/2 when y = 1.

4 0

3 years ago

The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont

anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

a) The preset value equation is given by this formula:

$P=\int^{T}_{0}f(t)e^{-rt}dt$

where:

T is the period in years (T = 10 years)
r is the annual interest rate (r=0.08)

So we have:

$P=\int^{T}_{0}(0.01t+100)e^{-rt}dt$

Now we just need to solve this integral.

$P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt$

$P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}$

$P=0.30+688.34=688.64 $$

The present value is 688.64 $

b) The accumulated amount of money flow formula is:

$A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt$

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

$A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P$

$A=e^{0.08\cdot 10}688.64=1532.60 $$

The accumulated amount is 1532.60 $

Have a nice day!

6 0

3 years ago

What is the equation of the line in slope intercept form m=2/7 and the y intercept is (0,-12)

Naya [18.7K]

B is your answer! All you do for this equation is go oh look m=2/7 well this means y=2/7x and you have a -12 so than you just plug it in. To get y=2/7x-12

6 0

3 years ago