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KonstantinChe [14]
3 years ago
7

Find the equation of the line. Use exact numbers y=___ x+ ___

Mathematics
1 answer:
NARA [144]3 years ago
7 0

Answer:

y=-3/2x +3

Step-by-step explanation:

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you deposit 10000 into a bank account. the account pays 4 annual interest compounded quarterly. find the balance after 5 years.
Ann [662]
<h3>Answer: 12,201.90 dollars</h3>

You may need to delete the comma if you are entering this result into a computer system.

=====================================================

Work Shown:

P = 10,000 = deposit

r = 0.04 = decimal form of 4% interest rate

n = 4 = we're compounding 4 times a year

t = 5 years

-------------

A = P*(1+r/n)^(n*t) .... compound interest formula

A = 10,000*(1+0.04/4)^(4*5)

A = 12,201.9003994797

A = 12,201.90

After 5 years, there is $12,201.90 in the account.

This is assuming you do not deposit any more money, and it also assumes that you don't take any money out during the 5 year timespan either.

8 0
3 years ago
Which ordered pair is a solution to the equation y= 6x - 2?
Dmitry [639]

Answer:

  • (5, 28)

Step-by-step explanation:

  • y= 6x - 2

Verifying pairs:

(1,0)

  • 0 = 6*1 - 2
  • 0 = 4 - incorrect

(5, 28)

  • 28 = 6*5 - 2
  • 28 = 30 -2
  • 28 = 28 - correct

(6, 20)

  • 20 = 6*6 - 2
  • 20 = 36 - 2
  • 20 = 34 - incorrect

(3, 19)

  • 19 = 6*3 - 2
  • 19 = 18 - 2
  • 19 = 16 - incorrect
4 0
3 years ago
Verify the identity.<br> tan(θ) sin(θ) + cos(θ) = sec(θ)
MariettaO [177]

Step-by-step explanation:

first of all

tan =  \ \frac{ \sin}{ \cos }

put above of equation

(sin/cos)(sin)+cos =sec

sin²/cos +cos=sec

take l.c.m

sin²+cos²/cos=sec

as sin ²+cos²=1 so

1/cos=sec

sec=sec

hence proved

4 0
4 years ago
Katie wants to buy some popcorn for her family at the theater. Each small tub of popcorn costs $3 and each large tub of popcorn
umka2103 [35]

Answer:

10 bucks beaner

Step-by-step explanation:

4 0
4 years ago
Graph f(x) = 6x^2-11+3 and<br> find the zeroes
babunello [35]

Answer:

x = ±1.155

Step-by-step explanation:

We need to graph the given function f(x) = 6x^2-11+3 and find its zeroes.

The attached figure shows the graph of the given function.

To find zeroes,

Put f(x) = 0

So,

6x^2-11+3=0\\\\x=\pm 1.155

Hence, this is the required solution.

5 0
3 years ago
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