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ludmilkaskok [199]

3 years ago

9

Sam borrows money from his brother to buy a new video game. He agrees to pay his brother back the full amount of the loan, plus

an additional $4.50, which is 9% interest. How much did Sam borrow originally?

1 answer:

Olegator [25]3 years ago

7 0

Sam borrowed 50 dollars

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What's the GCF of 12a^2b^6, 28a^4 and 42ab^3? How did you find your answer?

8090 [49]

$12a^2b^6=(2a)(6ab^6)\\\\28a^4=(2a)(14a^3)\\\\42ab^3=(2a)(21b^3)\\\\GCF(12a^2b^6,\ 28a^4,\ 42ab^3)=2a$

6 0

3 years ago

Help (this for a friend)<br> a 62.1<br> b 117.4<br> c 122.1<br> d 164.5

kramer

Answer:

c. 122.1 cm

Step-by-step explanation:

so l * w + $\frac{\pi r^2}{2}$

since 6 cm is the diameter

6/2 = 3

the radius (or r) is 3

so 18 * 6 + $\frac{3.14 * 3*3}{y}$

108 + $\frac{3.14*9}{y}$

108 + $\frac{28.26}{2}$

108 + 14.13 = 122.13

simplified: 122.1 cm

hope this helps:)

4 0

2 years ago

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Slope (m)=3, passes through (0, - 2)

Svetradugi [14.3K]

Answer:

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6 0

3 years ago

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A circle has its center at the center of a square with 12-inch sides. Using 3.14 for pi, find the area of the square not covered

Dmitrij [34]

So first, find the area of the square. 12x12= 144inches^2
Then find the area of the circle. To do this we use pi x r^2. The radius of the circle is 6 inches. Pi x 6^2 = 113.04inches^2.
144 - 113.04 = 30.6, so your answer is 30.6 inches^2

The circles circumference is worked out by using pi x d. The diameter is 12 inches, so 3.14x12 = 37.68 inches.
The squares perimeter is 12 x 4 = 48 inches.
If you round up the circumference of the circle to the nearest integer, you get 38 inches. The ratio would therefore be, 38:48, which can be rounded down to 19:24 :)

5 0

3 years ago

The population of rabbits on an island is growing exponentially. In the year 1994, the population of rabbits was 9600, and by 20

drek231 [11]

Answer:

49243

Step-by-step explanation:

Given that the population of rabbits on an island is growing exponentially.

Let the population, $P=P_0e^{bt}$

where, $P_0$ and b are constants, t=(Current year -1994) is the time in years from 1994.

In 1994, t=0, the population of rabbit, P=9600, so

$9600=P_0e^{b\times 0}$

So, $P_0=9600$

and in 2000, t=2000-1994=6 years and population of the rabbit, P=18400

$18400=9600 \times e^{b\times 6} \\\\\frac{18400}{9600}=e^{b\times 6} \\\\$

$\ln(23/12}=6b \\\\$

$b = \frac{\ln{1.92}}{6} \\\\$

b=0.109

On putting the value of P_0 and b, the population of the rabbit after t years from 1994 is

$P=9600 \times e^{0.109\times t}$

In 2009, t= 2009-1994=15 years,

So, the population of the rabbit in 2009

$P=9600 \times e^{0.109\times 15}=49243$

Hence, the population of the rabbit in 2009 is 49243.

7 0

3 years ago