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Lady_Fox [76]
2 years ago
12

PLEASE HELP ME ASAP!!

Mathematics
1 answer:
snow_tiger [21]2 years ago
7 0

point slope form means (y-y1)=m(x-x1)

so u need to find the slope gradient from those 2 points

m=y2-y1/x2-x1

=-6-6/11-7

=-12/4

=-3

and finally x1,y1=7,6

(y-y1) =m(x-x1)

(y-6) =-3(x-7)

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When I count as a principal of $1000 and earns 4% simple interest per year and other account as a principal $1000 and earns 4% i
OLga [1]

Answer: the account that earned compound interest has the greater balance at the end of four years.

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount invested.

P represents the principal or amount invested.

R represents interest rate

T represents the duration of the investment in years.

From the information given,

P = 1000

R = 4%

T = 4 years

I = (1000 × 4 × 4)/100 = 160

Total amount earned is

1000 + 160 = $1160

The formula for determining compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1000

r = 4% = 4/100 = 0.04

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,.

A = 1000(1+0.04/1)^1 × 4

A = 1000(1.04)^4

A = $1170

3 0
3 years ago
What is 20% of 160?....................
serious [3.7K]

Answer:

20% of 160 is 32

Step-by-step explanation:

4 0
3 years ago
How many different rectangular prisms can you make with 4 cubes
Rina8888 [55]
OK you just have to draw 4 cubes shaped like many different rectangular shapes
6 0
3 years ago
If BD bisects ABC, m DBC =79 and ABC = (9x-4) find the value of x
zimovet [89]

Answer:

x=18

Step-by-step explanation:

set up the equation:

DBC+DBC=ABC

79+79=(9x-4)

Simplify both sides of the equation.

79+79=9x−4

79+79=9x+−4

(79+79)=9x−4(Combine Like Terms)

158=9x−4

158=9x−4

Flip the equation.

9x−4=158

Add 4 to both sides.

9x−4+4=158+4

9x=162

Divide both sides by 9.

9x /9  =  162 /9

x=18

3 0
3 years ago
A wind turbine is located at the top of a hill where the wind blows steadily at 12 m/s, and stands 37 m tall. The air then exits
marta [7]

Answer:

Power generated = 4.315 kW

Step-by-step explanation:

Given,

  • speed of wind when enters into the turbine, V = 12 m/s
  • speed of wind when exits from the turbine, U = 9 m/s
  • mass flow rate of the wind, m = 137 kg/s

According to the law of conservation of energy

Energy generated = change in kinetic energy

Since, the air is exiting at same elevation. So, we will consider only kinetic energy.

Energy generated in one second will be given by,

E\ =\ \dfrac{1}{2}.mV^2-\dfrac{1}{2}.m.U^2

   =\ \dfrac{1}{2}\times 137\times (12)^2-\dfrac{1}{2}\times 137\times (9)^2

   =4315.5 J

   = 4.315 kJ

So, energy is generated in one second = 4.315 kJ

Power generated can be given by,

P\ =\ \dfrac{\textrm{energy generated}}{time}

And the energy is generated is already in per second so power generated will be 4.315 kW.

   

   

   

   

   

8 0
3 years ago
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