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3 years ago

Pls help due soon!! (no scam answers or links) :)

Mathematics

1 answer:

DanielleElmas [232]3 years ago

6 0

Answer:

im so sorry if im late but here is what i got

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A job order requires you to use a miter saw to cut 38 pieces of rough stock. The pieces have to be 5 1/4" long, the width of the

lilavasa [31]

Answer:

<h2>19.95 ≅ 20 boards will be required.</h2>

Step-by-step explanation:

The pieces have to be $5 + \frac{1}{4}$ = $\frac{21}{4}$ feet long.

A total number of 38 pieces are needed to cut.

In order to make 38 pieces total required length is $38 \times\frac{21}{4}$ = $\frac{19times21}{2}$ = 199.5

1 board is 10 feet long, hence total requirement of board is $\frac{199.5}{10}$ = 19.95

7 0

3 years ago

Consider a home mortgage of $225,000 at a fixed APR of 4.5 % for 30 years. a. Calculate the monthly payment. b. Determine the

White raven [17]

<u>The formula for the monthly payment</u>.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}$ , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate $=\frac{4.5\%}{12}= 0.375\% = 0.00375$

Total number of months $= (30*12)months=360 months$

Also given that, the principal amount is $225000

a. So, the monthly payment will be.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140$

Thus, the monthly payment will be approximately $1140

b. The <u>total amount paid</u> over the term of the loan will be: $\$ 1140*360 months = \$ 410400$

c. As the principal amount was $225000 , so the amount of interest $= (\$ 410400- \$ 225000)= \$ 185400$

So, the percentage of amount that is paid toward the principal $=\frac{225000}{410400}*100\% =54.82\%$

and the percentage of amount that is paid toward the interest $=\frac{185400}{410400}*100\%=45.18\%$

4 0

3 years ago

The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.

azamat

Answer:

(look in the the Step by step)

Step-by-step explanation:

When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.

.. A = (1/2)*d₁*d₂

Substituting the given information, this becomes

.. 58 in² = (1/2)*(14.5 in)*d₂

.. 2*58/14.5 in = d₂ = 8 in

The length of diagonal BD is 8 in.

4 0

3 years ago

An odd number minus an even number

grin007 [14]

Step-by-step explanation:

an odd number minus an even number is always odd number

5 0

3 years ago

The variables y and x have a proportional relationship, and y = 9 when x = 2.

Aloiza [94]

Answer: $y=13.5$

Step-by-step explanation:

1. By definition, if $y=9$ when $x=2$ , then:

$\frac{y}{x}=\frac{9}{2}$

2. Keeping this on mind, to find the value of $y$ when $x=3$ , you must apply the following proccedure:

$\frac{y}{3}=\frac{9}{2}$

3. Now, you must solve for $y$ , as following:

$y=3(\frac{9}{2})\\y=\frac{27}{2}\\y=13.5$

4. Then, the result is:

$y=13.5$

4 0

4 years ago