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Flauer [41]
3 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]3 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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Could someone please explain/help me to do this using Pythagoras theorem?
alex41 [277]

Answer:

\boxed{478.02}

Step-by-step explanation:

→ First understand what Pythagoras theorem is

Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.

→ State the formula and identify the letters

a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out

→ Substitute in the values into the formula

380² + 290² = c²

⇒ Simplify

144400 + 84100 = c²

⇒ Collect the numbers together

228500 = c²

⇒ Square root both sides to find 'c'

478.0167361 = c

→ The length of the diagonal is 478.02

8 0
3 years ago
-2 -13.8x = -8 -(6x+1)
Varvara68 [4.7K]
-2 -13.8x = -8 -6x -1
First, I distributed the negative 1 that was outside of the parentheses to the positive 6x and the positive 1.

-2 -13.8x = -9 -6x
Then I added the negative 8 to the negative 1 which equals negative 9.

-2 -13.8x +6x = -9 -6x +6x
After that I used the addition property and added a positive 6x to both sides.

-2 -7.8x = -9
Then simplifying.

+2 -2 -7.8x = -9 +2
After simplifying, I used the addition property again, adding a positive 2 to both sides.

-7.8x = -7
Simplified.

-7.8x (-1) = -7 (-1)
Then I multiplied both sides by with a negative 1 since the variable cannot be a negative.

7.8x = 7
Simplified

(1/7.8) 7.8x = (1/7.8) 7
Then, to isolate the veriable, I multiplied 1/7.8 to both sides.

x = 1.11428571429
The answer !

I hope this helped !
7 0
3 years ago
What is the slope-intercept form of this equation?
quester [9]
8X+6Y=12

Here's how you solve it:

Just isolate y by itself to get y-intercept form.
This is the formula: Y=MX+B

M is the slope or the number next to X in the original problem.

First:
6Y=-8X+12

Next:
divided everything by 6

Y=-4/3+2

I think the answer is A!


3 0
3 years ago
Read 2 more answers
What is the volume of the rectangular prism? 4 cm 4 cm 4 cm​
Stels [109]

Answer:

64cm^3

Step-by-step explanation:

4*4*4=64

7 0
3 years ago
which ones belong to SAS, SSS, HL, AAS, ASA or not congruent?
slava [35]

Answer:

1.ASA

2.AAS

3.?

4.ASA

5.SSS

6.SSS

7.ASA

8 0
2 years ago
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