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erma4kov [3.2K]

3 years ago

12

Joshua borrowed $2,100 for one year and paid $105 in interest. The bank charged him a service charge of $18. If Joshua paid the

$2,100 in 12 equal monthly payments, what is the APR?

1 answer:

fredd [130]3 years ago

6 0

the answer of monthly is 27,213

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Solve the system <br> 2x+2y+z=-2 <br> -x-2y+2z=-5<br> 2x+4y+z=0

drek231 [11]

The values of (x,y,z) are (3,-1,-2) , if the given are equations $2x+2y+z=- 2$ , $-x-2y+2z=-5$ and $2x+4y+z=0$ .

Step-by-step explanation:

The given is,

$2x+2y+z=- 2$ .......................................(1)

$-x-2y+2z=-5$ ......................................(2)

$2x+4y+z=0$ .........................................(3)

Step:1

Equation (2) is multiplied by -1 ( Eqn(2) × -1 )

$x+2y-2z=5$ .............................(4)

Subtract the equation (1) and (4)

$2x+2y+z=- 2$

$x+2y-2z=5$

( - )

$(2x-x)+(2y-2y)+(z+2z)=(-2-5)$

$x+3z=-7$ ......................(5)

Step:2

Equation (2) is multiplied by -2 ( Eqn(2) × -2)

$2x+4y-4z=10$ ........................(6)

Subtract equation (6) and (3),

$2x+4y-4z=10$

$2x+4y+z=0$

( - )

$(2x-2x)+(4y-4y)+(-4z-z)= (10-0)$

$-5z=10$

$z = - \frac{10}{5}$

z = -2

From the equation (5),

$x+3z=-7$

$x+(3)(-2)=-7$

$x = -7+6$

x = -1

From equation (1),

$2x+2y+z=- 2$

Substitute x and z values,

$(2)(-1)+2y+(-2)=-2$

$2y - 4=2$

$2y=4-2$

$2y=2$

$y=\frac{2}{2}$

y = 1

Step:3

Check for solution,

$-x-2y+2z=-5$

Substitute x,y and z values,

$-(-1)-(2)(1)+(2)(-2)=-5$

$1-2-4=-5$

-5 = -5

Result:

The values of (x,y,z) are (3,-1,-2) , if the given are equations $2x+2y+z=- 2$ , $-x-2y+2z=-5$ and $2x+4y+z=0$ .

8 0

3 years ago

Which of the following is true about the quotient below?

shutvik [7]

Answer:

A

Step-by-step explanation:

Division by zero is undefined, thus

$\frac{-4}{0}$ has a quotient undefined because the denominator is zero

6 0

3 years ago

Read 2 more answers

The function h=−16t2+26t models the height h (in feet) of the dolphin after t seconds. after how many seconds is the dolphin at

valentina_108 [34]

Given the movement of Dolphin has been modeled by the function:
h(t)=-16t^2+26t
the time taken for Dolphin to reach 5 feet will be:
5=-16t^2+26t
writing the above in quadratic form ax^2+bx+c=0 we get:
16t^2-26t+5=0
solving the quadratic equation using quadratic formula we obtain:
t=13/16+/-√89/16
t=0.22 sec or 1.40 sec

4 0

3 years ago

Read 2 more answers

Eight times the reciprocal of a number equals 4 times the reciprocal of 8. find the number

Burka [1]

8*(1/x) = 4*(1/8)
8/x = 4/8
64 = 4x
x = 16

4 0

3 years ago

Which statement below accurately describes the data in the table?

AleksandrR [38]

Answer:

The answer is A:More than 75% of the students prefer Alternative or Hip Hop music.

Step-by-step explanation:

5 0

3 years ago