All categories

3 years ago

Answer for brainliest no wrong answers please :)

Mathematics

1 answer:

nadezda [96]3 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

The amount of simple interest is given by ...

I = Prt . . . . . amount P invested at annual rate r for t years

This can be solved for r:

r = I/(Pt)

Using the given values, we find the rate to be ...

r = 16/(200·2) = 16/400 = 4/100 = 4%

The annual interest rate is 4%.

You might be interested in

8. In rural third world countries, farmers use a

liubo4ka [24]

9514 1404 393

Answer:

6872 cubic feet

Step-by-step explanation:

The volume of the conical bucket is ...

V = 1/3πr²h

V = 1/3π(15/2 in)²(20 in) = 375π in³

There are 60 minutes in 1 hour, so 3×60 = 180 minutes in 3 hours.

If each of 2 farmers can transfer 28 buckets per minute the total amount transferred is ...

(375π in³)(180 min)(2 farmers)(28/min/farmer) = 3,780,000π in³

There are 1728 in³ in 1 ft³, so this is ...

(3,780,000π/1728) ft³ = 2187.5π ft³, about 6872 cubic feet.

3 0

3 years ago

Error analysis help me out

IrinaK [193]

Answer:

1 - sin² θ = 1 - ( 1 - cos² θ) = cos² θ

tan x csc x = (sin x / cos x) * 1 / sin x = cos x

Step-by-step explanation:

1 - sin² θ = 1 - ( 1 - cos² θ) = cos² θ

tan x csc x = (sin x / cos x) * 1 / sin x = cos x

5 0

4 years ago

Cameron said that the Y intercept of a quadratic function always tells the maximum value of the function. explain Cameron's erro

Leno4ka [110]

Answer:

We can have two cases.

A quadratic function where the leading coefficient is larger than zero, in this case the arms of the graph will open up, and it will continue forever, so the maximum in this case is infinite.

A quadratic function where the leading coefficient is negative. In this case the arms of the graph will open down, then the maximum of the quadratic function coincides with the vertex of the function.

Where for a generic function:

y(x) = a*x^2 + b*x + c

The vertex is at:

x = -a/2b

and the maximum value is:

y(-a/2b)

4 0

3 years ago

6.9 is 112% of what number?

Komok [63]

Answer:

6.16

Step-by-step explanation:

5 0

3 years ago

can you give a description of the relationship between the years since the tree was transplanted and its height in inches? if so

LenKa [72]

Answer:

The height of the tree is 18 inches plus 8 inches for each year since the tree was transplanted.

Explanation:

Please, find attached an image with the table that accompanies this question.

1. Pattern

The table is:

Years: 2 4 5 8 9

Height (in.): 34 50 58 82 90

The most simple pattern is a linear pattern. A linear pattern has a constante rate of change.

The rate of change between two points is:

rate of change = change in the output / changee in the input

Find the rate of change for the data:

(50 - 34) in / (4 - 2) year = 16in / 2year = 8in/year

(58 - 50) in / (5 - 4) year = 8in/1year = 8 in/year

(82 - 58) in / (8 - 5) year = 24in / 3year = 8 in/year

(90 - 82) in / (9 - 8) year = 8in / 1 year = 8 in/year

Hence, the heigth and the years since the tree was transplantated show a linear relationship: every year the tree grew 8 inches.

2. Intial height:

You can find the initial height of the tree by using the rate of change of the height.

At year 2: height = 34 inches

At year 1: height = 34 inches - 8 inches = 26 inches

At year 0: height = 26 inches - 8 inches = 18 inches

3. Relationship

You can describe the relationship in terms of the initial height and the numbers of years since the tree was transplantated.

Then, the height of the tree is 18 inches plus 8 inches for each year since the tree was transplanted.

You can even write an equation (function):

name H the height of the tree in inches
name y the number of years since the tree was transplantated

the equation is: H = 18 + y

8 0

4 years ago