All categories

3 years ago

(04.04)

Mathematics

2 answers:

GREYUIT [131]3 years ago

8 0

Answer:

1.3

Step-by-step explanation:

Nastasia [14]3 years ago

3 0

*Hint: In order to find the distance between the two points the formula would be √((x2 - x1)^2 + (y2 - y1)^2)

Now that we know the formula, all we do is plug in the numbers.

√((2 - 2)^2 + (2.5 - 1.2)^2)
√ 0 + (1.3)^2
√1.69
1.3

The distance between the two points is 1.3.

You might be interested in

A soft drink manufacturer wishes to know how many soft drinks adults drink each week. They want to construct a 85% confidence in

andreev551 [17]

Answer: 547

Step-by-step explanation: The margin of error formulae is given below as

Margin of error = critical value ×(σ/√n)

Where σ = standard deviation and n is the sample size.

From our question, margin of error = 0.08

Variance is 1.691,

hence σ = √variance = √1.691

= 1.3.

We will be using a z test for our critical value this is because a soft drink manufacturer will always produce drinks more than 30 in numbers.

The critical value for a 85% confidence interval is 1.44.

Hence critical value is 1.44.

By substituting the parameters, we have that

0.08 = 1.44 × 1.3/ √n

0.08 = 1.873/ √n

By cross multiplying

0.08 × √n = 1.873

√n = 1.873/ 0.08

√n = 23.41

n = (23.41)²

n = 547.

7 0

3 years ago

In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each

Rudiy27

Answer:

$N(t) = 972(1.015)^{t}$

Growth function.

The number of students enrolled in 2014 is 1162.

Step-by-step explanation:

The number of students in the school in t years after 2002 can be modeled by the following function:

$N(t) = N(0)(1+r)^{t}$

In which N(0) is the number of students in 2002 and r is the rate of change.

If 1+r>1, the function is a growth function.

If 1-r<1, the function is a decay function.

In 2002, there were 972 students enrolled at Oakview High School.

This means that $N(0) = 972$

Since then, the number of students has increased by 1.5% each year.

Increase, so r is positive. This means that $r = 0.015$

Then

$N(t) = N(0)(1+r)^{t}$

$N(t) = 972(1+0.015)^{t}$

$N(t) = 972(1.015)^{t}$

Growth function.

Find the number of students enrolled in 2014.

2014 is 2014-2002 = 12 years after 2002, so this is N(12).

$N(t) = 972(1.015)^{t}$

$N(12) = 972(1.015)^{12}$

$N(12) = 1162$

The number of students enrolled in 2014 is 1162.

7 0

2 years ago

The human population of the earth can be modeled by p(T)=3.1(1.016)^t , where T represents the number of year since 1963 , and p

Mkey [24]

Answer:

See below

Step-by-step explanation:

Given function:

p(t)=3.1(1.016)^t

The base of the growth rate is:

1.016 = 1 + 0.016

It represent a 1.6% of growth per year.

Increasing

p(55) = 7.42 means:

55 years after 1963, in the year 2018, the population of Earth is 7.42 billions

7 0

2 years ago

You have a goal of saving to build up a nest egg of $625,357.24, and you are going to make regular deposits to an account that p

Delvig [45]

The monthly deposit required to save up to $625,357.24 (future value) in 40 years at a 7.2% APR is $225.20.

<h3>What is the monthly deposit?</h3>

The monthly deposits are the periodic savings that the investor must make to achieve future value.

The monthly deposit is compounded at the monthly annual percentage rate (APR).

We can compute the required monthly deposits using an online finance calculator as follows:

N (# of periods) = 480 months (40 years x 12)

I/Y (Interest per year) = 7.2%

PV (Present Value) = $0

FV (Future Value) = $625,357.24

Results:

Monthly Deposits (PMT) = $225.20

Sum of all periodic payments = $108,096 ($225.20 x 480)

Total Interest = $517,261.24

Thus, to save $625,357.24 in 40 years, you need to deposit $225.20 monthly.

Learn more about periodic deposits (payments) at brainly.com/question/13031679

#SPJ1

6 0

1 year ago

Find an equation for the line through (-7,7) and parallel to y=2x-3

kaheart [24]

The answer would be B because a line is a parallel as long as the mx remains the same

Hope this helped.

4 0

3 years ago