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2 years ago

Perimeter?? I’m lazy even though it’s easy

Mathematics

2 answers:

xxMikexx [17]2 years ago

7 0

Add up all the sides.
8+7.2+7.25=
22.45 cm

BabaBlast [244]2 years ago

4 0

The correct answer is 22.45

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Nicole took out a 30-year mortgage for $90,000 at 7.5%. How much is her monthly mortgage payment? I assume $675,000?

V125BC [204]

Answer:

Nicole pays $629.29 per month
Zack pays $563.24 per month

Step-by-step explanation:

We're not quite sure why you estimated the monthly payment at several times the value of the entire loan.

The applicable formula is the amortization formula. It computes the monthly payment A on loan principal value P at annual rate r for t years to be ...

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

The value of r used in this formula is the decimal equivalent of the percentage rate. 7.5% = 0.075; 9% = 0.09

The formula with Nicole's numbers filled in looks like ...

A = $90,000(0.075/12)/(1 -(1 +0.075/12)^(-12·30))

= $90,000(0.00625)/(1 -(1.00625^-360)) = $562.50/(1 -0.1051398)

A ≈ $629.293 ≈ $629.29 . . . . Nicole's monthly payment

Using the same formula with P=$70,000, r=0.09, t=30, we find Zack's monthly payment to be $563.24.

_____

<em>Additional comment</em>

If you're doing a number of problems of this type, it can be helpful to use a tool that will do the calculation for you without error. A graphing calculator or spreadsheet can do that. One example is shown in the attachment.

7 0

2 years ago

A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values

nika2105 [10]

Answer:

For systolic pressure data:

$\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085$

For diastolic pressure data:

$\bar X =73.5\\\\S=12.54\\\\CV=\frac{73.5}{12.54}=0.17061$

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

Step-by-step explanation:

The coefficient of variation is defined as the percentage relative variation of a set of data with respect to its average. And it is calculated like this:

$CV=\frac{\bar X}{S}$

$S =\sqrt{\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2$

$\bar X={\frac{1}{n} \sum_{i=1}^n x_i$

For systolic pressure data:

$\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085$

For diastolic pressure data:

$\bar X =73.5\\\\S=12.54\\\\CV=\frac{12.54}{73.5}=0.17061$

It is observed that the systolic pressure shows greater standard deviation but less coefficient of variation. This is due to the greater magnitude of its measurement scale.

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

7 0

3 years ago

4.01 ESSENTIAL QUESTIONS

Nikolay [14]

Answer:

You use distance and slope formula to classify a quadrilateral by using the x and y coordinates of the quadrilateral. Boom

Step-by-step explanation:

4 0

2 years ago

Scarlett made 1/2 of a recipe and used 4/5 cups of bananas. How many cups of bananas are required for a whole recipe??

Flura [38]

I think that it is 0.4

8 0

3 years ago

Read 2 more answers

There is $500 in Holly's bank account. She takes out $50 from her account each month but doesn't put money back in. What is the

galina1969 [7]

Answer:

The rate of change or slope m = -50

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the rate of change or slope

b is the y-intercept

Given that there is $500 in Holly's bank account.

Thus, the y-intercept b = 500

It is stated that she takes out $50 from her account each month but doesn't put money back in.

It means the rate of change or slope is decreasing.

Thus, the rate of change or slope m = -50

<u>EXTRA BONUS!</u>

We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

$y = mx+b$

y = -50x + 500

Here:

The slope m = -50

The y-intercept = 500

3 0

3 years ago