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Ivan
2 years ago
5

Greg deposited $4000 into an account with a 9.8% annual interest rate, compounded semiannually. Assuming that no withdrawals are

made, how long will it
take for the investment to grow to $4616?
Do not round any intermediate computations, and round your answer to the nearest hundredth.
Mathematics
1 answer:
Dovator [93]2 years ago
6 0

The number of years it would take $4000 to grow to $4616 is 2.92 years.

<h3>How many years would it take the investment to have a value of $4616?</h3>

When an amount earns compound interest compounded semi annually, it means that both the amount invested and the interest accrued increases in value twice yearly.

Number of years = (In FV / PV) / r

  • r = 9.8/2 = 4.90%
  • FV = future value = 4616
  • PV = present value = 4000

(In 4616 / 4000) / 0.049 = 2.92 years

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The slope of the line below is -1. write the point-slope equation of the line using the coordinates of the labeled point.​
omeli [17]

Answer:

y+9=-1(x-4)

Step-by-step explanation:

Point Slope Form is:

y-y_1=m(x-x_1)

When:

'm' is the slope.

(x_1,y_1) is the coordinate.

We are given the slope of -1 and the coordinate of (4,-9).

So:

m=-1\\x_1=4\\y_1=-9

Using the information and replacing the values we get:

y+9=-1(x-4)

So, the line equation in point slope form should be: y+9=-1(x-4)

<em>Brainilest Appreciated. </em>

5 0
3 years ago
Read 2 more answers
Eighty-five more than the square of a number is the same as the square of the quantity that is 17 less than the number. What is
mario62 [17]
We can turn this word problem into the following equation:
x^2 + 85 = (x - 17)^2
  x^2 + 85 = x^2 - 34x + 289
           -85                       -85
_______________________
      x^2 = x^2 - 34x + 204                    
     +34x         +34x
_______________________
 x^2 + 34x = x^2 + 204
-x^2             -x^2
____________________
       34x = 204
Divide 34 on both sides
      x = 6.
The number is 6.
5 0
3 years ago
Item 3
Zina [86]

Answer:

22

Step-by-step explanation:

7 0
3 years ago
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Rewrite the equation y^2 – 4y – 2x – 4 = 0 in standard form.
patriot [66]

y² - 4y - 2x - 4 = 0

<u>            +2x +4 </u>   <u>+2x + 4 </u>

y² - 4y              = 2x + 4

<u>             +4    </u>      <u>       +4 </u>      

 (y - 2)²          = 2x + 8

<u>              -8   </u>      <u>      -8 </u>

 (y - 2)²  - 8   = 2x

\frac{(y - 2)^{2}}{2} - \frac{8}{2} = \frac{2x}{2}

\frac{1}{2}(y - 2)² - 4 = x

x = \frac{1}{2}(y - 2)² - 4

<em>Note: this is a parabola whose axis of symmetry is y = 2 and vertex is (-4, 2)</em>

8 0
3 years ago
The marked price of a radio set is 450000. A discount of 5% of the marked price is allowed. What is the selling price of the rad
dybincka [34]

Answer:

$427,500 dollars

Step-by-step explanation:

Given the following question:
Initial price = 450,000
5% discount

In order to find the answer, we simply find 5% of 450,000.

\frac{5\times450000}{100} =5\times450000=2250000\div100=22500
450000-22500=427500
r=427500

The radio (after a 5% discount) costs "$427,500 dollars."

Hope this helps.

6 0
3 years ago
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