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IgorLugansk [536]
3 years ago
12

Olivia invested $500 in an account paying an interest rate of 2.4% compounded continuously. Assuming no deposits or withdrawals

are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $650?
Mathematics
1 answer:
Dominik [7]3 years ago
3 0
It would be 10.932 years or 10.9 to the tenth
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Can i get someone to answer this for me please?
denpristay [2]

Answer:

B, D and also E

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
-3x^{2}-21x-54 what are the zeros? (Solutions)
Irina-Kira [14]
The only way to solve if it is equal to something
assuming that the teacher wanted you to make it equal to zero do
0=-3x^2-21x-54

remember if we can do
xy=0 then assume x and y=0

so factor

0=-3x^2-21x-54
undistribute the -3
0=-3(x^2+7x+18)
remember 0 times anything=0 so
x^2+7x+18 must equal zero
use quadratice formula which is

if you have
ax^2+bx+c=0 then
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}

x^2+7x+18
a=1
b=7
c=18

x=\frac{-7+/- \sqrt{7^{2}-4(1)(18)} }{2(1)}
x=\frac{-7+/- \sqrt{49-72} }{2}
x=\frac{-7+/- \sqrt{-23} }{2}
i=√-1
x=\frac{-7+/- i\sqrt{23} }{2}



the zerose would be
x=\frac{-7+ i\sqrt{23} }{2} or \frac{-7- i\sqrt{23} }{2}




4 0
3 years ago
If yo are given PNM = MOP How would you prove that MNPQ is a parallelogram?
Fed [463]

Answer:

  Response 1

Step-by-step explanation:

Response 1 is the only wording that is self-consistent. Response 1 is the appropriate response.

___

Response 2 argues about angles, then concludes sides are congruent. This makes no sense.

Response 3 identifies congruent segments, but they are not opposite sides. The conclusion is unsupported.

4 0
4 years ago
Pls hurry
AlladinOne [14]

Step-by-step explanation:

To evaluate, substitute 29 for the variable in the expression.

To evaluate, substitute 31 for the variable in the equation.

To evaluate the expression, add 31 to 29.

The correct expression is n-31.

To evaluate the expression, subtract 31 from 29Pls hurry

Rafael writes an expression to represent "a number, n, decreased by thirty-one." Then he evaluates that expression if

n-29. Which statements are true about the expression and its evaluation? Check all that apply.

The correct expression is 31-n.

This is a subtraction expression.

This is an addition expression.

To evaluate, substitute 29 for the variable in the expression.

To evaluate, substitute 31 for the variable in the equation.

To evaluate the expression, add 31 to 29.

The correct expression is n-31.

To evaluate the expression, subtract 31 from 29..

4 0
3 years ago
Read 2 more answers
Suppose that a brand of lightbulb lasts on average 1730 hours with a standard deviation of 257 hours. Assume the life of the lig
Debora [2.8K]

Answer:

P [  1689  ≤   X  ≤  2267 ]  = 54,88 %

Step-by-step explanation:

Normal Distribution

Mean        μ₀  =  1730

Standard Deviation      σ  = 257

We need to calculate  z scores for the values   1689     and      2267

We apply formula for z scores

z =  ( X -  μ₀ ) /σ

X = 1689     then

z = (1689 - 1730)/ 257      ⇒ z = - 41 / 257

z  = -  0.1595

And from z table we get  for  z =  - 0,1595

We have to interpolate

        - 0,15          0,4364

        - 0,16          0,4325

Δ  =   0.01           0.0039

0,1595  -  0,15  =  0.0095

By rule of three

0,01                  0,0039

0,0095                 x ??      x  =  0.0037

And    0,4364  -  0.0037  = 0,4327

Then    P [ X ≤ 1689 ]  =  0.4327     or    P [ X ≤ 1689 ]  = 43,27 %

And for the upper limit  2267  z  score will be

z  =  ( X - 1730 ) / 257       ⇒  z =  537 / 257

z  =  2.0894

Now from z table   we find  for score   2.0894

We interpolate and assume  0.9815

P [ X ≤ 2267 ]  =  0,9815

Ths vale already contains th value of   P [ X ≤ 1689 ]  =  0.4327

Then we subtract  to get    0,9815  -  0,4327   = 0,5488

Finally

P [ 1689  ≤   X  ≤  2267 ]  =  0,5488  or  P [  1689  ≤   X  ≤  2267 ]  = 54,88 %

8 0
3 years ago
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