MATHEMATICS HIGH SCHOOL

Given that a - b = 3 and ab=5, find, without the use of a calculator,
the value of a +b?

Answers

Answer 1

Answer:

Answer:

√29

Step-by-step explanation:

We are here given that ,

a - b = 3
ab = 5 .

Now square the first equation ,

⇒ a - b = 3

⇒ ( a - b)² = 3²

⇒ a² + b² - 2ab = 9

⇒ a² + b² - 2(5) = 9

⇒ a² + b² -10 = 9

⇒ a² + b² = 9 + 10

⇒ a² + b² = 19

Adding 2ab both sides ,

⇒ a² + b² + 2ab = 19 + 2(5)

⇒ (a + b)² = 19 + 10

⇒ ( a + b)² = 29

⇒a+b=√29.

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A retailer buys a radio from the wholesaler for $75.00. He then marks up the price by 1/3 and sells it at a discount of 20 %. What was his proﬁt on the radio (to the nearest cent)?

Answers

He sells it at $80 which gives him a profit of $5!

-2094-67
Help!!!!!!!!!

Answers

Answer:

−2161

Step-by-step explanation:

Subtract 67 from -2094

If you want me to show work, let me know!

Which equation can be used to find the nth term for the sequence 2, 5, 10, 17

Answers

1，2，5，10，17，26，37，50，65，82，101，122，145，170，···
an＝n^2-2n+2.
Sn＝n(2n^2-3n+7)/6

Yesterday, Julie’s bank account balance was –$10.28. She deposited some money into her account so that her balance is now $39.89.How much did she deposit into her account?

A.$50.17

B.$39.00

C.$29.72

D.$10.00

Answers

Since we're starting with a negative we're going to disregard the negative sign and add the numbers together: $10.28 + $39.89 = $50.17. :)

39.89 - ( -10.28 )
The reason you subtract is because the key word is depositied

How much would $200 invested at 5% interest compounded monthly be worth after 9 years? Round your answer to the nearest cent.

A. $207.63
B. $310.27
C. $363.82
D. $313.37

Answers

$A = P(1 + (r)/(n))^(nt)$
$A = 200(1 + (0.05)/(12))^((12)(9))$
$A = 200(1 + (1)/(240))^(108)$
$A = 200(1(1)/(240))^(108)$
$A = 200(1.56684664942)$
$A = 313.369329884$
$A = \$313.37$

Which number below is a prime number? O A. 39 O B. 105 O c. 101 OD. 15 asap