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Debora [2.8K]
3 years ago
5

Keith bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $150 more than the desktop. He pa

id for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 5.5% per year. The total finance charges for one year were $227. How much did each computer cost before finance charges
Mathematics
1 answer:
ss7ja [257]3 years ago
5 0

Answer: desktop = $1750, laptop = $1900

<u>Step-by-step explanation:</u>

Let x represent the cost of the desktop

then x + 150 is the cost of the laptop.

.07x + .055(x + 150) = 227

.07x + .055x + 8.25 = 227

.125x = 218.75

x = 1750

desktop (x) = $1750

laptop (x + 150) = $1750 + $150 = $1900

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The variable z is directly proportional to x, and inversely proportional to y. When x is 20 and y is 6, z has the value 66.66666
sergejj [24]

Answer:

41.667 to the nearest thousandth.

Step-by-step explanation:

z = kx/y where k is the constant of proportionality.

Inserting the given values:

66.666666666667 = k*20/6

20k = 6*66.666666666667

k = 6*66.666666666667 / 20

=  20

So the equation of variation is z = 20x /y

When x = 25 and y = 12:

z = 20*25/12

= 41.666666666667.

6 0
3 years ago
Complete the table.<br> Thank you
lesya692 [45]

Answer:

16.5

Step-by-step explanation:

The relationship between x and y is that y is just x+3.5. So if x is 13, then y is 13+3.5 which is 16.5.

7 0
2 years ago
Read 2 more answers
Look at the following number sequence. 3, 7, 11, 15, . . . Based on the pattern, what are the next two terms?
viva [34]
So, if we look at the number pattern, we can see the numbers go up by 4.

The rule is Add 4.

So, to find the next two terms, we would add 4 to the last number shown, which is 15.

15 + 4 = 19

19 + 4 = 23

So, the next two terms are →19←
 and →23←.

Glad I could help, and good luck!

AnonymousGiantsFan
5 0
2 years ago
Read 2 more answers
Approximately how much more quickly (in mph) does a pilot traveling 400 mph and rising at an angle of 30o gain altitude versus a
REY [17]
We can find the height of the altitude by the ratio of sin. See my attachment.
sin of angle = side in front of the angle / hypotenuse
sin x = height/distance

If the two pilot is rising in an hour, then the first distance is 400 miles, the second distance is 300 miles.

Find the height of first pilot
height/distance = sin x 
height/400 = sin 30°
height = sin 30° × 400
height = 1/2 × 400
height = 200

Find the height of second pilot
height/distance = sin x 
height/300 = sin 40°
height = sin 40° × 300
height = 0.642 × 300
height = 192

So the first pilot traveling 400 mph with 30° is more quickly to reach high altitude than the second pilot traveling 300 mph with 40°

3 0
3 years ago
A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq . By h
julia-pushkina [17]
Well to get the area of 288 the dimensions would be a couple of things but 16 ft by 18 ft seems to work, so the dimensions increase by 4 ft on each side.

12+4=16
14+4=18

18*16=288
6 0
3 years ago
Read 2 more answers
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