Find the amount paid for the loan. $4800 at 9.9% for 4 years note: its not 1900.8

A cashier has a total of 30 bills consisting of ones, fives and twenties. the number of twenties is 5 less than the number of on

Varvara68 [4.7K]

Let us say that:

a = ones

b = fives

c = twenties

So that the total money is:

1 * a + 5 * b + 20 * c = 229

=> a + 5b + 20c = 229 --> eqtn 1

We are also given that:

c = a – 5 --> eqtn 2

a + b + c = 30 --> eqtn 3

Rewriting eqtn 3 in terms of b:

b = 30 – a – c

Plugging in eqtn 2 into this:

b = 30 – a – (a – 5)

b = 35 – 2a --> eqtn 4

Plugging in eqtn 2 and 4 into eqtn 1:

a + 5(35 – 2a) + 20(a – 5) = 229

a + 175 – 10a + 20a – 100 = 229

11a = 154

a = 14

So,

b = 35 – 2a = 7

c = a – 5 = 9

Therefore there are 14 ones, 7 fives, and 9 twenties.

7 0

3 years ago

What inverse operation should be used to isolate the variable in the equation j ÷ 12 = 50?

DerKrebs [107]

Answer:

600

Step-by-step explanation:

50x12=600 you can check this by doing 600/12=50

7 0

2 years ago

Read 2 more answers

Can someone help me with # 5

Flauer [41]

Being in love/caring for someone clouds your judgement causing you to overlook their faults. however, once the "rose colored glasses" come off you start to recognise where they were wrong.

3 0

2 years ago

Find the perimeter and the area of the polygon with the given vertices. W (11,2), X (11,8), Y (14,8), Z (14,2)

liberstina [14]

Answer:

The perimeter of the polygon = 18 units

The area of the polygon will be $A=18$ square units

Step-by-step explanation:

Computing the Perimeter of the Polygon: 

Considering the polygon with vertices

W (11,2)

X (11,8)

Y (14,8)

Z (14,2)

As the polygon is drawn in coordinate plane as shown in figure a.

From the attached figure a, we can observe that

The length of the side $WZ = 3$ units

The length of the side $ZY = 6$ units

The length of the side $WX = 6$ units

The length of the side $XY = 3$ units

So, the perimeter of the polygon can be calculated by taking the sum of the lengths of all sides i.e.

The perimeter of the polygon = $WZ + ZY + WX + XY$

= 3 + 6 + 6 + 3

= 18 units

Computing the Area of the Polygon: 

Area can be calculated by multiplying the length and width of the polygon.

$A=lw$

So, the area will be:

$A=lw$

$A=(3)(6)$

$A=18$

Therefore, the area of the polygon will be $A=18$ square units

Keywords: area, perimeter, polygon

Learn more about area and perimeter from brainly.com/question/2328840

#learnwithBrainly

5 0

3 years ago

Rina draws a plan of her school on a coordinate grid. She plots the school gate at point p(-8,-1) and the library at point Q(2,5

natka813 [3]

Answer:

The coordinates of the science lab is:

x = -14/3 , y = 1

Step-by-step explanation:

∵ P is (-8 , -1) and Q is (2 , 5)

∵ The point of the science lab is (x , y)

∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)

∴ $x=\frac{m_{1}x_{p}+m_{2}x_{q}}{m_{1}+m_{2}}$

∴ $y=\frac{m_{1}y_{p}+m_{2}y_{q}}{m_{1}+m_{2}}$

∴ $x=\frac{2(-8)+1(2)}{1+2}=\frac{-14}{3}$

∴ $y=\frac{2(-1)+1(5)}{2+1}=\frac{3}{3}=1$

∴ The point of science lab = (-14/3 , 1)

5 0

2 years ago