How is the building code for using asphalt shingles on a roof related to the definition of slope?

Pete's monthly housing budget is $2,250. His monthly costs are $215.75 for insurance, $143.50 for utilities, and $273 for taxes.

Afina-wow [57]

Answer:

Option B. house B; monthly payment of $1,550.89 is the correct answer.

Step-by-step explanation:

In order to calculate the highest payment Pete can afford we have to subtract his expenses from his housing budget.

Given

Total housing budget = $2250

Monthly costs = $215.75

Utilities = $143.50

Taxes = $273

First all expenses can be added together to subtract from the housing budget.

So

$Monthly\ costs = Insurance\ +\ Utilities\ +\ taxes\\ = \$215.75 + \$143.50 + \$273\\= \$632.25$

Now the total monthly cost will be subtracted from housing budget.

$Amount\ for\ monthly\ payment = Housing\ budget - Monthly\ Expenses\\=\$2250\ -\ \$632.25\\=\$1617.75$

Hence, he saves $1617.75 for monthly payment.

Looking at the options, C and D will be ruled out as both the quantities are greater than 1617.75

Option A and B both are smaller than 1617.75 but as $1,550.89>$1,327.18, Option B is the highest monthly payment Pete can afford.

Hence,

Option B. house B; monthly payment of $1,550.89 is the correct answer.

6 0

4 years ago

If the Nutrition Facts panel on a food label indicates that a food has 24 g of total carbohydrates, 2 g of fiber and 12 g of sug

Ann [662]

Answer:

Option a is correct.

Step-by-step explanation:

Since both fiber and sugar are types of carbohydrates and it is given that a portion of food has 24 gm of total carbohydrate and within which 2 gm of fiber and 12 gm of sugar.

Therefore, this food contains 2 g of fiber, 12 g of sugars, and 10 g of other unnamed carbohydrates, for a total of 24 g.

Hence, option (a) is correct. (Answer)

5 0

4 years ago

Easy way of explaining integers?

Andre45 [30]

Answer:

Step-by-step explanation:

3 Great Ways to Teach Adding Integers

Typically, you should begin by having your students think about real world examples of positive and negative integer. ...

Then, model this example using counter chips.

Finally, have your students model addition problems using the counter chips.

3 0

3 years ago

Read 2 more answers

What is the value of y? Round to the nearest tenth <br> Need help fast !!

VMariaS [17]

Answer:

y=4 mm

Step-by-step explanation:

All angles in a triangle add up to 180: 180=∠M+∠P+∠N, ∠M=180-60-90=30

a/sinA=b/sinB

PN/sin∠M=PM/sin∠N

y/sin30=8/sin90

y=8/1 *sin30

y=8*0.5

y=4 mm

3 0

3 years ago

What is the rate of change for f(x)=-2cos4x-3 on the interval from x=0 to x=pi over 4

Anestetic [448]

Answer:

$\frac{16}{\pi}$

Step-by-step explanation:

The average rate of a function $f$ on interval $x=a$ to $x=b$ is:

$\frac{f(b)-f(a)}{b-a}$ .

$a=0$ and $b=\frac{\pi}{4}$ here for this problem where $f(x)=-2\cos(4x)-3$ .

So we will need to evaluate $f$ for $x=0 \text{ and } b=\frac{\pi}{4}$ .

To find $f(0)$ we will replace $x$ in $f(x)=-2\cos(4x)-3$ with $0$ :

$f(0)=-2\cos(4(0))-3$

$f(0)=-2\cos(0)-3$

$f(0)=-2(1)-3$

$f(0)=-2-3$

$f(0)=-5$

To find $f(\frac{\pi}{4})$ we will replace $x$ in $f(x)=-2\cos(4x)-3$ with $\frac{\pi}{4}$ :

$f(\frac{\pi}{4})=-2\cos(4(\frac{\pi}{4}))-3$

$f(\frac{\pi}{4})=-2\cos(\pi)-3$

$f(\frac{\pi}{4})=-2(-1)-3$

$f(\frac{\pi}{4})=2-3$

$f(\frac{\pi}{4})=-1$

So now we need to compute the change in $f$ over the change in $x$ :

$\frac{-1-(-5)}{\frac{\pi}{4}-0}$

$\frac{-1+5}{\frac{\pi}{4}}$

Dividing by $\frac{\pi}{4}$ is the same as multiplying by $\frac{4}{\pi}$ :

$(-1+5)\cdot \frac{4}{\pi}$

$4 \cdot \frac{4}{\pi}$

$\frac{16}{\pi}$

8 0

3 years ago