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Flauer [41]
2 years ago
12

Hakim invests $700 in a bank that pays 5% simple interest annually. After one year he uses the money in his account to buy a com

puter. The original cost of the computer is $750 The computer is on sale for a 20% discount off of the original cost. The sales tax is 4% of the sale price. After purchasing the computer, how much does Hakim have left in his bank account?
Mathematics
1 answer:
ludmilkaskok [199]2 years ago
6 0

Answer:

  $111

Step-by-step explanation:

The bank balance is ...

  $700 × (1 + 0.05) = $735

The cost of the computer is ...

  $750 × (1 -0.20) × (1 +0.04) = $624

The remaining bank balance after paying for the computer is ...

  $735 -624 = $111

_____

When you add a percentage, you effectively multiply by the sum of 1 and that percentage. The same is true if the amount "added" is negative (as for a discounted price).

  (original amount) + (percentage)×(original amount)

Use the distributive property to factor out the original amount:

 = (original amount)×(1 + percentage)

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Find the quadratic function y=a(x-h)^2 whose graph passes through the given points. (12,-7) and (9,0)
ryzh [129]

Answer:

y = (-7/3)(x - 9)

Step-by-step explanation:

<em><u>(12, - 7)</u></em>

y = a(x - h)^2

-7 = a(12 - h)^2

- 7 = a(144 - 24x + h^2)

<em><u>(9,0)</u></em>

0 = a(x - h)^2

0 = a(9 - h)^2

0 = a(81 - 18h + h^2)

From (9,0) we can conclude that

a = 0

or

(9 - h)^2 = 0

Let's try the second possibility.

Take the square root of both sides.

9 - h = sqrt(0)

Add h to both sides

9 - h = 0  

h = 9

So now what we have is

y = a(x - 9)

Use the first equation to get a

-7 = a(12 - 9)

-7 = a(3)

-7/3 = a

Answer

y = (-7/3)(x - 9)

6 0
3 years ago
Please solve this math problem... I will mark you brainliest
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Answer:

Step-by-step explanation:

6 0
2 years ago
What are the zeros of f(x) = x3 + 6x2 + 3x – 10 ?
schepotkina [342]
One of the zeroes would be : x = 1

f (1)  = 1^3  + 6(1) ^2  + 3 (1)  - 10

f(1) = 1 + 6 + 3 - 10

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Hope this helps
3 0
3 years ago
Jose has -75 points. He wins 200 points;then he loses 25 points. How many points does he have now?
Sav [38]

Answer:

100 points

Step-by-step explanation:

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125 - 25 = 100

3 0
2 years ago
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sasho [114]

Answer:

60 different meal packages are possible.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

4 types of drinks

5 types of sandwiches.

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They are independent events, so, by the fundamental counting principle:

4*5*3 = 60

60 different meal packages are possible.

7 0
3 years ago
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