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Kisachek [45]
3 years ago
12

Is 1/10, 1/4, and 1/8 more or less than 1/2​

Mathematics
1 answer:
ryzh [129]3 years ago
5 0

Answer:

They are less than 1/2

Step-by-step explanation:

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111. Dani has $1,000 in an investment account that earns 3% per year, compounded monthly.
tangare [24]

Answer:

A(t) = 1000(1.0025)^{12t}

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money in the account after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the number of years the money is invested or borrowed for.

For this problem, we have that:

P = 1000

The investment is compounded monthly. There are 12 months in a year. So n = 12

The interest rate is 3%. So r = 0.03.

So

The amount of money in her account after t years is:

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 1000(1 + \frac{0.03}{12})^{12t}

A(t) = 1000(1.0025)^{12t}

5 0
4 years ago
An arc is 6.5 cm long and it subtends a central angle of 45 degrees. Find the radius of the circle.
Orlov [11]
Arc length = radius * central angle (measured in radians)
There are <span> <span> <span> 57.2957795131 </span> </span> </span> degrees per radian so
45 degrees = (45 / <span> <span> <span> 57.2957795131) = </span></span></span> <span> <span> <span> 0.7853981634 </span> </span> </span> radians<span><span> </span> </span>
radius = arc length / central angle (radians)
radius = 6.5 / <span> <span> 0.7853981634 </span> </span> radians = <span> <span> <span> 8.2760570408 </span> </span> </span> cm

http://www.1728.org/radians.htm

8 0
3 years ago
Find the slope of the line passing through the points (9,-6) and (4,-2)
trasher [3.6K]

Answer:

8/5

Step-by-step explanation:

(9, -6)

         = -6-(-2)/9-4= 6+2/9-4=8/5

(4, -2)

5 0
3 years ago
Read 2 more answers
Solve the inequality.<br> <br> 6x - 2(x + 1) &gt; 0
SashulF [63]
6x-2(x+1)>0
6x-2x+1>0
4x+1>0
4x>-1
x>-1/4
4 0
4 years ago
Determine the most useful measure of center for each of the following situations.
Nesterboy [21]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

5 0
3 years ago
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