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grandymaker [24]
1 year ago
12

Katie invested $33,750 at 11.17% compounded continuously.

Mathematics
1 answer:
ser-zykov [4K]1 year ago
5 0

Answer:

Katie's account balance in 10 years will be $3,769,875

Step-by-step explanation:

you multiply the amount of money you invest by the percentage, and the amount of years.

EX: $33,750 × 11.17% × 10= $3,769,875

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One pound of grapes costs $1.55. Which equation correctly shows a pair of equivalent ratios that can be used to find the cost of
Fiesta28 [93]
1.55 / 1 = x / 3.5....$ 1.55 to 1 lb = $ x to 3.5 lbs

first one <==

it could have also been : 1 / 1.55 = 3.5 / x...but that is not an answer choice
6 0
2 years ago
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If a cube-shaped cell is 3 units tall by 3 units wide and 3 units long, what is the cell's surface-area-to volume ratio?
bulgar [2K]
The cube has 6 sides, each a square with dimensions 3 by 3, 

the area of any of these squares is 3*3=9 square units.

The total area of the cube is 6*9 square units=54 square units


The volume of a cube with side length a is given by : \displaystyle{ V_{cube}=a^3, thus the volume of the cube-shaped cell is 3*3*3=27 cube units.


(surface area):(volume)=54:27 = 2:1 =2

Answer: 

the ratio of the numerical values is 2

(their ratio including units is 2/unit 
7 0
2 years ago
What is the graph of the system y = -2x + 3 and 2x + + 4y = 8?
Maslowich

Answer:what are you solving it by

Step-by-step explanation:

3 0
2 years ago
Plz explain this and do it plz
Ahat [919]
Very important: "if necessary round answers to the nearwest tenth of a unit".
Just wondering did you attempt to draw this circle?
 
8 0
1 year ago
Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
QveST [7]
<span>I note that this problem starts out with "Which is a factor of ... "  This implies that you were given several answer choices.  If that's the case, it's unfortunate that you haven't shared them.

I thought I'd try finding roots of this function using synthetic division.  See below:

f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation.  Thanks.

Possible zeros of this poly are factors of 35:  plus or minus 1, plus or minus 5, plus or minus 7.  Use synthetic division; determine whether or not there is a non-zero remainder in each case.  If none of these work, form rational divisors from 35 and 6 and try them:  5/6, 7/6, 1/6, etc.

Provided that you have copied down the function 
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35  properly, this approach will eventually turn up 1 or 2 zeros of this poly.  Obviously it'd be much easier if you'd check out the possible answers given you with this problem.

By graphing this function, I found that the graph crosses the x-axis at 7/2.  There is another root.

Using synth. div. to check whether or not 7/2 is a root:

         ___________________________
7/2   /   6    -21    -4    24    -35
                   21      0   -14     35           
        ----------- ------------------------------
           6        0     -4    10       0

Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial.  Thus, (x-3.5), or (x-7/2), is a factor.

7 0
1 year ago
Read 2 more answers
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