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Mariulka [41]
3 years ago
15

What is 12.738 in expanded form using fractions

Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0

Answer: 12/1 + 7/10 + 3/100 + 8/1000

Step-by-step explanation: Twelve is the whole number so to make it a fraction, you put it over 1. Seven is in the tenths place so we write seven over ten. The same applies with the other numbers.

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lee has invested $2800 in a venture company. he receives 6.5% interest a year, compounded continuously. How long will it take hi
d1i1m1o1n [39]

Answer:

It'll take 10.6638 years to double his money.

Step-by-step explanation:

Since the invested capital is compounded continuosly we need to use the apropriate formula shown below:

M = C*e^(r*t)

Where M is the final value, C is the initial value, r is the rate of interest and t is the total time elapsed. In this case we want to  double our investment, since the amount invested was 2800, then we need to have a final value of 2*2800 = 5600. Applying these values to the formula:

5600 = 2800*e^(0.065*t)

2800*e^(0.065*t) = 5600

e^(0.065*t) = 5600/2800

e^(0.065*t) = 2

ln(e^(0.065*t)) = ln(2)

0.065*t = ln(2)

t = ln(2)/0.065 = 10.6638 years

It'll take 10.6638 years to double his money.

7 0
3 years ago
What is the point -slope form of a line with slope -4 that contains the point (-2,3)
Arada [10]

Answer:

y - 3 = -4 (x +2)

Step-by-step explanation:

Point slope form is

y -y1 = m(x-x1)  where m is the slope and ( x1,y1) is a point on the line

y - 3 = -4 (x - -2)

y - 3 = -4 (x +2)

5 0
3 years ago
How many milliliter are in a pint
alukav5142 [94]
How many milliliters are in a pint?
Answer: 473.176
3 0
3 years ago
Read 2 more answers
What is the greatest common factor of the polynomial's terms?
Alinara [238K]

Step-by-step explanation:

Write the prime factorization of each term:

9r⁵s = 3² × r⁵ × s

6r⁴s² = 2 × 3 × r⁴ × s²

12r²s = 2² × 3 × r² × s

The greatest common factor will have all the common factors raised to their lowest exponent.

So all three terms have 3, r, and s as factors.  The lowest exponent of 3 is 1.  The lowest exponent of r is 2.  The lowest exponent of s is 1.

GCF = 3 × r² × s

GCF = 3r²s

Factor out the GCF:

9r⁵s + 6r⁴s² − 12r²s

3r²s (3r³ + 2r²s − 4)

4 0
3 years ago
What is the volume of the square pyramid with base edges 32 mm and slant height 34 mm?
leonid [27]

Answer:

V = 10,240mm^3

Step-by-step explanation:

The volume of pyramid is given by the following formula:

V=\frac{1}{3}bh  (1)

b: base of the pyramid = (32mm)^2

h: height

Thus, it is necessary to find the value of h, by using the Pitagoras's theorem, one half of the base and the slant height (which forms a rectangle triangle with h):

h=\sqrt{(34)^2-(16)^2}=30mm

by replacing in (1) you obtain:

V=\frac{1}{3}(32mm)^2(30mm)=10,240\ mm^3

hence, the volume is 10240mm^3

5 0
4 years ago
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