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amm1812
3 years ago
13

Solve the following systems of equations. y = -x2+2x+1 y = 2x+1

Mathematics
1 answer:
boyakko [2]3 years ago
7 0

Answer:

I think it's (0,1) x=0, y=1

Sorry if that's wrong

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luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. what is the total cost of th
aivan3 [116]

<u>ANSWER: </u>

The total cost of the skate board is $74.61.

<u>SOLUTION: </u>

Given, Luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. luis has to pay a state sales tax of 6.75%.  

We need to find what is the total cost of the skateboard.

Final cost is nothing but original amount subtracted by discount and added with tax.

final cost = original cost – discount + sales tax

Original cost = $79.99

Discount = 12% of original cost

\begin{array}{l}{=12 \% \times 79.99} \\\\ {=\frac{12}{100} \times 79.99} \\\\ {=\frac{959.88}{100}} \\\\ {=9.5988}\end{array}

discount is $9.6 approximately

Sales tax = 6% of cost after discounting

\begin{array}{l}{=6 \% \times \text { (original cost - discount) }} \\\\ {=\frac{6}{100} \times(79.99-9.6)} \\\\ {=\frac{6}{100} \times(70.39)} \\\\ {=\frac{422.34}{100}} \\\\ {=4.2234}\end{array}

Sales tax is $4.22 approximately

Now, final cost = 79.99 – 9.6 + 4.22

= 84.21 - 9.6

= 74.61

Hence, the total cost of the skate board is $74.61

6 0
3 years ago
Please help due ASAP <br> Show workings
Minchanka [31]

Answer:

WZ = 30

Step-by-step explanation:

set up equation based on WZ = W'Z'

3/4[6x + 10] = 13x - 35

multiply each side of equation by 4 to eliminate fractions:

18x + 30 = 52x - 140

-34x = -170

x = 5

substitute 5 for 'x' in either expression:

13(5) - 35

65 - 35 = 30

6 0
3 years ago
Read 2 more answers
How do you solve 2a - 5 = -3a ?
spayn [35]
-2a from both sides then divide by -5 and a=1
6 0
3 years ago
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Check Register Balance $526.13 Bank Statement Balance $531.38 Outstanding Checks $62.45 and $18.75 Service Charges $75.95 What i
mrs_skeptik [129]
WOULD IT BE THE FIRST ONE ($526.13)

7 0
3 years ago
An account has $26,000 after 15 years. The account received 2.3 percent interest compounded continuously. How much was deposited
Leya [2.2K]

The intital amount deposited was  $18485.82.

<h3>How to find the compound interest?</h3>

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

a = p(1 + \dfrac{r}{n})^{nt}

An account has $26,000 after 15 years. The account received 2.3 percent interest compounded continuously.

A = 26000

R = 0.02.3

a = p(1 + \dfrac{r}{n})^{nt}

26000 = p(1 + \dfrac{2.3}{100})^{15}\\\\26000 = p \times 1.4064\\\\\P= 18485.82

Therefore, the intital amount deposited was  $18485.82.

Learn more about compound interest here:

brainly.com/question/1329401

#SPJ1

7 0
2 years ago
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