32-?-10+4=16<br> A)12 B)2 C)8 D)10

Ryan bought a new computer for $2,100. The value of the computer decreases by 50% each year. When will the

noname [10]

Answer:

After 2.80 years the price drops to 300 $

Step-by-step explanation:

Ryan bought a new computer for $2,100.

Price of computer = 2100 $

The value of the computer decreases by 50% each year.

Let p(n) be the price of computer after n years.

$\texttt{Price of computer after 1 year =}2100-\frac{50}{100}\times 2100=0.50^1\times 2100\$\\\\\texttt{Price of computer after 2 years =}0.50^2\times 2100\$\\\\\texttt{Price of computer after 3 years =}0.50^3\times 2100\$\\\\\texttt{Price of computer after n years =}0.50^n\times 2100\$$

Now we need to find n when price is 300 $.

0.50ⁿ x 2100 = 300

0.50ⁿ = 0.143

n log (0.5) = log 0.143

n x -0.301 = -0.845

n = 2.80

After 2.80 years the price drops to 300 $

8 0

3 years ago

How can you check your answer?

mars1129 [50]

Answer:

Option D is correct

Step-by-step explanation:

Multiply 7 by 3. then add 3 and make sure the answer is 24.

7 x 3 + 3 = 21 + 3 = 24

Hope this helps!

:)

3 0

4 years ago

This is a mixed of interior and exterior angles

Diano4ka-milaya [45]

Answer:

Last week, Chen bought 812 gallons of gas at $2.30 per gallon. This week, he bought 4310 gallons of gas at $2.70 per gallon.

What was his total cost?

Enter your answer in the box.

Step-by-step explanation:

3 0

3 years ago

Is 2 x+6-x=1/3(3x+18) a one solution ,no solution ,or an infinite numbers of solutions

nalin [4]

To determine this, the first thing we should do is simplify the expression. As usual, bring like terms to either side of the "=" and then simplify.
2x + 6 - x = 1/3 (3x + 18)
x + 6 = 1/3 (3x + 18)
x + 6 = 1/3 (3x) + 1/3(18)
x + 6 = x + 6

We can already see that both sides have the same expression "x+6". Now, if you try to simplify any further, you will get 0=0. That means that for any value of x, the expression will simplify to 0=0. Because 0=0 is a true statement, for every value of x, the expression will be true. Therefore, there are an infinite number of solutions.

Hope this helped!! :D
Note: If you are still confused, let me know. I realize that I might have been a bit confusing in my explanation

5 0

4 years ago

John invested N$ 20 000 on 1/06/2009 at 9% p.a. interest compounded monthly

alina1380 [7]

Answer:

a) $49,027.14

b) $54,501.67

Step-by-step explanation:

a) The account balance multiplier for interest rate r compounded n times per year for t years is ...

multiplier = (1 +r/n)^(nt)

For your numbers, r=.09, n=12, t=10, this is 2.45135708, so the account balance after 10 years will be ...

$20,000 × 2.45135708 ≈ $49,027.14

__

b) All but $20,000 of the above balance is interest, so the amount invested for the second period is $29,027.14.

The multiplier for a continuously compounded interest rate r for t years is ...

multiplier = e^(rt)

For your numbers, r=.105 and t=6, so the multiplier is e^.63 ≈ 1.8776106 and the account balance for an investment of $29,027.14 will be ...

$29,027.14 × 1.8776106 ≈ $54,501.67

3 0

3 years ago

32-?-10+4=16 A)12 B)2 C)8 D)10