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Brrunno [24]
2 years ago
11

Carmen bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $200 less than the desktop. She

pald for the computers
using two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 7% per year. The total finance charges for one
year were $306. How much did each computer cost before finance charges?
Mathematics
1 answer:
stiks02 [169]2 years ago
5 0
Let x = cost of desktop computer; then x - 250 = cost of laptop computer

converting % to decimals, 9% = 0.09 and 6% = 0.06

Then, 0.09x + (x - 250)0.06 = $300
0.09x + 0.06x - 15 = $300
0.15x = $315
x = $2100
then x - 250 = $1850

Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300
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A dog trainer has 96 ft of fencing that will be used to create a rectangular work area. Encloses area of 320 ft^2. What will be
Anastaziya [24]

Answer:

<em>The dimensions of the area will be 8 ft x 40 ft</em>

Step-by-step explanation:

<u>Area and Perimeter</u>

The perimeter can be understood as the distance measured around a shape. The area gives us the idea of the space occupied by the shape. Being w and l the width and length of a rectangle, the perimeter and areas can be computed as follows

A=wl

P=2w+2l

The dog trainer has 96 ft of fencing to cover a 320 ft^2 rectangular area. This means that

wl=320

2w+2l=96

A system of equations is formed

\left\{\begin{matrix}wl=320\\ 2w+2l=96\end{matrix}\right

We divide the last equation by 2

w+l=48

solve for w

w=48-l

Replacing in the first equation

(48-l)l=320

Operating and arranging

l^2-48l+320=0

(l-8)(l-40)=0

We have two possible answers

l=8,\ l=40

Which gives us

w=40,\ w=8

In any case, the dimensions of the area will be 8 ft x 40 ft

6 0
3 years ago
Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-cho
nadezda [96]

Answer:

The correct answer is 4294967296 possible ways to complete such a test.

Step-by-step explanation:

Step 1

The first step is to define the fundamental principle of counting. The fundamental principle of counting states that if a process can be carried out in n steps, where there are n_1  ways to complete the first step, n_2 ways to complete the second step, n_3, and n_k ways to complete the k^{th} step, this process can be carried out in  n_1\times n_2\times n_3\times ...\times n_k ways.

Step 2

We use the fundamental principle of counting with n=4 for a total of k=16 steps.  This test can be carried out in 4^{16}=4294967296 ways. This comes from multiplying 4 by itself 16 times.

3 0
3 years ago
Okay have reposted it.
Delvig [45]

Answer:

13

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The length of a side of a cube can be determinad
erik [133]

Answer:

4 cm

which is none of the listed answers

Step-by-step explanation:

∛64 = 4

proof:

4x4x4 = 64

7 0
3 years ago
Find the volume and surface area of this prism.
mina [271]

Answer:

V = 408 cm cubed

SA = 558 cm squared

Step-by-step explanation:

To find the volume of a prism, multiply the area of the base by the height. This is 1/2 times width times height times length.

V =1/2 l*w*h =1/2* 6*8*17 = 408

To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.

Area of the base is A = 1/2 * b*h = 1/2 * 6 * 8 = 24. Since there are 2 bases, the area is 48.

Area of the rectangular side is A = b*h = 17*10 = 170. Since there are three, the area is 3*170 = 510.

The surface area of the prism is 48 + 510 = 558.

8 0
3 years ago
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