All categories

2 years ago

Which of the following represents 12% growth per time period?

Mathematics

1 answer:

Andreyy892 years ago

5 0

Answer:

f(x) = 1,000(1.12)x

Step-by-step explanation:

You can use your context clues to figure out this answer.

Your goal is to find an answer that :

1) The number is greater than 1,000 (since it grows)

2) The number doesn't increase too much, but a close estimate to 12%

A percentage (that is less than 100%) is a decimal number. A percentage represents that number out of 100. So, 12% is only 12 out of 100.

Meaning that .12 = 12%. But in this case, we want an increase of 12%. Since we want it to grow from our initial value, <em>1,000</em>, you want to find where the multiplier is greater than 1. Because 100% of 1000 is 1000. + .12 = 112%.

If you put in your calculator, 1000 * 1.12, you should get 1,120

. g(x) actually decreases 1,000. It actually gets 12% of 1,000.

h(x) represents 80% of 1,000 but not an increase of 12%.

k(x) is such a huge number and should automatically be negated/crossed off.

You might be interested in

PART B: Uber was also available for Mike to use to get home from the airport. Uber

Ber [7]

Answer:

taxi

Step-by-step explanation:

you would take the taxi because it would cost less than Uber

3 0

2 years ago

What is the approximate area of the shaded sector in the circle shown below?

viva [34]

Answer:

4.71

Step-by-step explanation:

Area of shaded sector formula: r2(data)(pi)/360

Substitute the info into the formula

$3^{2}$ (60)(pi)/360

9(60)=540

540/360(pi)=4.71

Hope this helps! :)

8 0

2 years ago

HELP PLEASE <br> solve the right triangle

aleksandrvk [35]

Answer:

Part 1) $FG=4.4\ units$

Part 2) $EF=3.9\ units$

Part 3) $m\angle G=63^o$

Step-by-step explanation:

step 1

Find the measure of length side FG

In the right triangle EFG

we know that

$sin(27^o)=\frac{GE}{FG}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(27^o)=\frac{2}{FG}$

$FG=\frac{2}{sin(27^o)}=4.4\ units$

step 2

Find the measure of length side EF

In the right triangle EFG

we know that

$cos(27^o)=\frac{EF}{FG}$ ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

$cos(27^o)=\frac{EF}{4.4}$

$EF=cos(27^o)(4.4)=3.9\ units$

step 3

Find the measure of angle G

we know that

$m\angle G+27^o=90^o$ ---> by complementary angles in a right triangle

$m\angle G=90^o-27^o=63^o$

7 0

2 years ago

Find

Westkost [7]

Answer:

dy/dx = -b/a cot α

Step-by-step explanation:

x² / a² + y² / b² = 1

Take derivative with respect to x.

2x / a² + 2y / b² dy/dx = 0

2y / b² dy/dx = -2x / a²

dy/dx = -b²x / (a²y)

Substitute:

dy/dx = -b²a cos α / (a²b sin α)

dy/dx = -b cos α / (a sin α)

dy/dx = -b/a cot α

8 0

2 years ago

Evaluate 5x – 2y + (7x – y) for x = 7 and y = –2. 90 –18 –45 63

seropon [69]

The value of the expression 5x – 2y + (7x – y) when x = 7 and y = -2 is 90

<h3>How to evaluate the expression?</h3>

The expression is given as:

5x – 2y + (7x – y)

Substitute x = 7 and y = –2 in the above expression

5 * 7 - 2 * -2 + (7 * 7 + 2)

Evaluate the expression

Hence, the value of the expression 5x – 2y + (7x – y) when x = 7 and y = -2 is 90