9x−4y=−7 7x−12y=39

For selected years, the national health care expenditure, in billion of dollors can be modelled by H=29.57e^0.0970t, remains acu

Sliva [168]

Answer:

The correct answer is 54.76 years.

Step-by-step explanation:

The national health care expenditure (H) , in billion of dollars is modeled by

H = 29.57 × $e^{0.0970t}$ .

To measure the time before which national health expenditure reach 6000 billion dollars.

Thus putting the value of H = 6000 in the above modeled equation we get,

⇒ 6000 = 29.57 × $e^{0.0970t}$

⇒ $\frac{6000}{29.57}$ = $e^{0.0970t}$

⇒ 202.908 = $e^{0.0970t}$

Taking logarithm with the base of e (㏑) both sides we get,

⇒ ㏑ 202.908 = ㏑ $e^{0.0970t}$

⇒ ㏑ 202.908 = 0.0970 × t

⇒ 0.0970 × t = 5.312

⇒ t = $\frac{5.312}{0.0970}$

⇒ t = 54.76.

Thus the total time required before which national health expenditure reach 6000 billion dollars is 54.76 years.

3 0

3 years ago

11. Sara borrowed *60,000 from a money lender at 15% rate of interest per annum. What is

patriot [66]

Answer:

36000

Step-by-step explanation:

Given the following

Principal = 60,000

Rate = 15%

Time = 4years

Using the simple interest formula

SI = PRT/100

SI = 60000*15*4/100

SI = 600 * 60

SI = 36,000

Hence the interest paid after 4 years is 36000

5 0

3 years ago

Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint.

dimulka [17.4K]

The question is an illustration of equivalent ratios.

3 cups of dark orange require 3 ounces of yellow paint
3 cups of light orange require 19.5 ounces of yellow paint

1 cup of dark orange requires

$Red = 7oz$

$Yellow =1oz$

To make 3 cups, we simply multiply by 3, because $3 \times 1 = 3$

So, we have:

$Red = 7oz \times 3 = 21oz$

$Yellow =1oz \times 3 = 3oz$

2 cups of light orange require

$Red =3oz$

$Yellow =13$

To make 3 cups, we simply multiply by 1.5, because $2 \times 1.5 = 3$

So, we have:

$Red = 3oz \times 1.5 = 4.5oz$

$Yellow = 13oz \times 1.5 = 19.5oz$

Hence:

3 cups of dark orange require 3 ounces of yellow paint
3 cups of light orange require 19.5 ounces of yellow paint

Read more about equivalent ratios at:

brainly.com/question/18441891

5 0

2 years ago

State if the given functions are inverses NO LINKS!!!! Part 1

Dafna11 [192]

Step-by-step explanation:

3:

h(x)=(-3x-15)/5

let y=(-3x-15)/5

interchanging role of x &y

x=(-3y-15)/5

5x+15=-3y

y=-(5x+15)/3

h-1(x)=-(5x+15)/3

not

equal to f(x)=(-3x-6)/4

Given function are not function of each other .

4:

g(x)=2/3x-2/3

let

y=2/3(x-1)

interchanging role of x &y

x=2/3(y-1)

3/2x+1=y

g-1(x)=3/2x+1

not equal to f(x)=½x+1

Given function are not function of each other .

3 0

3 years ago

Read 2 more answers

Help pleaseee asap ???!! :)

Alex787 [66]

Answer:

math stinks im sorry use math papa algabraic calculator

Step-by-step explanation:

4 0

2 years ago

9x−4y=−7 7x−12y=39 ​

9x−4y=−7 7x−12y=39