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3 years ago

A Gardner is planting two types of trees

Mathematics

1 answer:

Nina [5.8K]3 years ago

4 0

It will take 6 years for the trees to have same height.

Step-by-step explanation:

Type A tree;

Initial height = 9 feet

We will convert feet into inches because growth is in inches.

1 feet = 12 inches

9 feet = 12*9 = 108 inches

Growth rate = 6 inches per year

Let,

x be the number of years.

A(x) = 108 + 6x

Type B;

Initial height = 4 feet = 4*12 = 48 inches

Growth rate = 16 inches per year

B(x) = 48 + 16x

The height will be same, when functions are equal

A(x) = B(x)

$108+6x=48+16x\\108-48=16x-6x\\60=10x\\10x=60$

Dividing both sides by 6

$\frac{10x}{10}=\frac{60}{10}\\x=6$

It will take 6 years for the trees to have same height.

Keywords: function, division

Learn more about division at:

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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3 years ago

Suppose you can afford only $200 a month in car payments and your best loan option is a 60-month loan at 3%. How much money coul

g100num [7]

Answer:

$11,130.47

Step-by-step explanation:

The amortization formula can be used. It tells you the monthly payment amount A for some principal P, interest rate r, and n payments.

A = P(r/12)/(1 -(1 +r/12)^(-n))

Filling in your values, we get ...

200 = P(.03/12)/(1 -(1 +.03/12)^-60) = P(.0025)/(1 -1.0025^-60)

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The present value of the loan is $11,130.47.

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3 years ago

The drama club was selling tickets

Lubov Fominskaja [6]

Answer:

108 student tickets, and 176 adult tickets were sold

Step-by-step explanation:

Adult ticket $8 Call the number of adult tickets sold "a"

Student ticket $5 Call the number of student tickets sold "s"

Since we are talking about TWO consecutive days of sold out seats, the total number of seats sold were 2* 142 = 284

Then we create two different equations with the information given:

a + s = 284

8 * a + 5 * s = 1948

we can solve for s in the first equation as follows: s = 284 - a

and use it in the second equation

8 a + 5 (284 - a) = 1948

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combining

3 a = 528

a = 528/3

a = 176

we find the number of student tickets using this answer in the substitution equation we used:

s - 284 - 176 = 108

Therefore 108 student tickets, and 176 adult tickets were sold.

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