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quester [9]
2 years ago
5

ive just joined into a class from remote to now hybrid. we are doing how to find out if an ordered pair is a solution to the lin

ear equation. i am so lost. please help.
Mathematics
1 answer:
Minchanka [31]2 years ago
6 0

Answer:

Step-by-step explanation:

You'll be given an equation that contains an x and a y.

You'll also be given an ordered pair. Plug the ordered pair into the equation and see if the equation is true.

For example:

Is (0,4) a solution to the equation 2x+3y = 15 ?

Plug the coordinates of (0,4) into the equation:

2·0 + 3·4 = 15

This simplifies to 12 = 15, which is obviously false, so (0,4) is not a solution to the equation.

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Safia opens a new savings account with a 2.25% simple interest rate. She deposits $3,500 and earned $3,696.88 total (with intere
Art [367]

Answer:

The money was left untouched for 2 years and 6 months or just 2.5 years

Step-by-step explanation:

In this question, we are asked to calculate the time taken for an amount deposited to earn a certain amount of interest.

Mathematically, simple interest can be calculated using the formula;

I = PRT/100

where I is the interest accrued which is 3696.88 - 3,500 = 196.88

P is the principal which is the amount deposited = 3,500 according to the question

R is the rate which is 2.25% according to the question

T is the time which we are to find

we can rearrange the formula making T the subject and we obtain the following;

T = 100I/PR

substituting the values listed above we have;

T = (100 * 196.88)/(3500 * 2.25)

T = 19688/7875

T = 2.5 years or 2 years 6 months

8 0
3 years ago
a polygon has an area of 225 square meters. A similar polygon is created with an area that is triple the first. By what factor i
GuDViN [60]
The area of the original polygon is:
 A = 225 m ^ 2
 The similar polygon area is:
 A '= (k ^ 2) * (A)
 Substituting values:
 3 * 225 = (k ^ 2) * (225)
 Clearing k we have:
 k ^ 2 = 3
 k = (3) ^ (1/3)
 Answer:
 
The length of each side increased by:
 
k = (3) ^ (1/3)
6 0
3 years ago
Your friend is 5 years less then half her mom's age. your friend is 15 years old. how is the mother.
Digiron [165]
The mother is 25. i think
4 0
2 years ago
Read 2 more answers
Given interest of $10,510 at 12 percent for 30 days one can calculate the principal as:
gtnhenbr [62]

Answer:

$1,065,597.22

Step-by-step explanation:

Simple interest = Principal * Rate * Time/100

10,510 = P * 12 * 30/365*100

10,510*365*100 = 360P

383,615,000 = 360P

Note that the time was converted to years by dividing by 365

P = 383,615,000/360

P = $1,065,597.22

Hence the principal is $1,065,597.22

7 0
2 years ago
These data can be approximated quite well by a N(3.4, 3.1) model. Economists become alarmed when productivity decreases. Accordi
CaHeK987 [17]

Answer:

First part

P(X< 3.4-0.6*3.1) = P(X

And for this case we can use the z score formula given by:

z = \frac{x- \mu}{\sigma}

And using this formula we got:

P(X

And we can use the normal standard table or excel and we got:

P(Z

Second part

For the other part of the question we want to find the following probability:

P(-1.715

And using the score we got:

P(-1.715

And we can find this probability with this difference:

P(-1.65< Z< 1.210)=P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the data of a population, and for this case we know the distribution for X is given by:

X \sim N(3.4,3.1)  

Where \mu=3.4 and \sigma=3.1

First part

And for this case we want this probability:

P(X< 3.4-0.6*3.1) = P(X

And for this case we can use the z score formula given by:

z = \frac{x- \mu}{\sigma}

And using this formula we got:

P(X

And we can use the normal standard table or excel and we got:

P(Z

Second part

For the other part of the question we want to find the following probability:

P(-1.715

And using the score we got:

P(-1.715

And we can find this probability with this difference:

P(-1.65< Z< 1.210)=P(Z

8 0
3 years ago
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