Alexandra bought a $315,000.00 house, paying 10% down, and financing the rest at 6% interest for 20
years.
A. What is the monthly payment?
Alexandra has a payment of
a month.
B. How much interest will be paid over the life of the loan?
Alexandra will pay
in interest over the life of the loan.

Answer:

a=10 and c=20

Step-by-step explanation:

This is a system of equations. I will solve using the substitution method.

a+c=30

12a+8c=280

Solving for a:

a+c-c=30-c

a=30-c

Substituting a into the second equation:

12(30-c)+8c=280

360-12c+8c=280

360-4c=280

-4c=-80

c=20

Substituting into the original equation:

a+20=30

a+20-20=30-20

a=10

To prove this answer is correct, I will plug the solutions back in to the original equation.

a+c=30

10+20=30

30=30, True

12a+8c=280

12*10+8*20=280

120+160=280

280=280, True

Therefore, a=10 and c=20.

Answer:

3 solutions

Step-by-step explanation:

x = 0; x = 2; x = -6

As we are given with an equation as follows :

[tex]{:\implies \quad \sf x^{2}(x+2)(x+6)=0}[/tex]

As product of these three factors is equal . So , any of these factor can be 0 as product is 0 only when one of the expressions which are multiplied is 0. So , 3 cases arises as follows ;

[tex]{:\implies \quad \sf x^{2}=0}[/tex]

On raising ½ power to both sides we have ;

[tex]{:\implies \quad \sf x=\pm \: 0}[/tex]

Now , as +0 and -0 have no difference in them . So , it's simply 0

[tex]{:\implies \quad \sf So\quad x=0}[/tex]

[tex]{:\implies \quad \sf x+2=0}[/tex]

[tex]{:\implies \quad \sf So\quad x=-2}[/tex]

[tex]{:\implies \quad \sf x+6=0}[/tex]

[tex]{:\implies \quad \sf So\quad x=-6}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Hence \:\: x\in \{0,\: -6,\: -2\}}}}[/tex]

The polynomial [tex]\rm -3x^8 +9x^2+ 10x[/tex]  is written in standard form. The correct option is C.

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The standard form of the polynomial is given as

[tex]\rm a_o x^{n} + a_1 x^{n-1} + a_2 x^{n-2} + ...... + a_n x^{n-n}[/tex]

1.  [tex]\rm 2x^2 +3x^4 +10x^6[/tex] is not written in standard form.

2.  [tex]\rm 4x^4 +6x^3 + 10x^4[/tex] is not written in standard form.

3.  [tex]\rm -3x^8 +9x^2+ 10x[/tex] is written in standard form.

4.  [tex]\rm -7x^6 + x^3 + 10x^8[/tex] is not written in standard form.

More about the polynomial link is given below.

https://brainly.com/question/17822016

Answer:

the answer is twenty four

Answer:

7.5 feet and 90 inches

Step-by-step explanation:

you take 2.5 and multiply it by 3 because there are 3 feet in a yard to get 7.5. then take 7.5 and multiply it by 12 to get 90 inches

Answer:

Michaela gets 3.45$ back.

Step-by-step explanation:

1 carton of eggs = 1.58$

she buys 2, so 2 times 1.58= 3.16$

1 pound of turkey = 6.99$

she buys 4.15 pounds, so 4.15 times 6.99= 29.01$

she buys a jar of jam for 4.38$

4.38 + 3.16 + 29.01 = 36.55$

4 times 10= 40

40 - 36.55 = 3.45$

Answer:

  $3.10

Step-by-step explanation:

The cost of the goods Michaela buys is ...

  2 cartons eggs at $1.58 per carton = $3.16

  4 1/5 pounds turkey at $6.99 per pound = $29.36

  1 jar of jam at $4.38 per jar = $4.38

The total is then ...

  $3.16 +29.36 +4.38 = $36.90

Four $10 bills will be $40, so the change is ...

  $40 -36.90 = $3.10

Michaela will receive $3.10 in change.

_____

Additional comment

We know that Brainly often mangles mixed numbers, so we have assumed that "415" is intended to be 4 1/5. If it is intended to be 4.15 pounds, then the price of the turkey, and the change, will be different by about $0.35. Michaela's change will increase by that amount.

Answer:

Step-by-step explanation:

The distributive property of multiplication over addition tells you a factor outside parentheses will multiply each term inside parentheses. That fact is used to expand the given expression. In general, ...

  a(b +c) = ab +ac

  2(-a +5) = 2(-a) +2(5)

__

The multiplicative identity element is the value that can multiply any expression and leave it unchanged. It is 1. That is, multiplying anything by 1 leaves it unchanged.

This fact is generally used to cancel factors common to a numerator and denominator: (2x)/2 = x(2/2) = x(1) = x, for example. It is also used extensively in units conversion.

__

The associative property of addition lets you group the terms of a sum any way you like. It lets you move parentheses at will. (Beware subtraction.)

Here, the parentheses are moved from grouping the first two terms to instead grouping the last two terms.

_____

Additional comment

These are part of the vocabulary of math. Even if you don't remember the specific definitions, it is essential to remember what these properties allow. Making use of them is the way that expressions are simplified and equations are solved.

Answer:

Step-by-step explanation:

Distributive Property of Multiplication

The distributive property of multiplication is to distribute or multiply one term by all terms.

Identity Property of Multiplication

Identity property is to multiply by 1. This doesn't change the value, so it keeps the value, identity, the same.

Associative Property of Addition

The associative property is to group terms differently, preferably like terms. 2 and 5 are like terms, because they are integers.

-Chetan K

Answer:

Step-by-step explanation:

I will use the formula for finding the slope of a line.

rise/run = y2 - y1/x2 - x1

3 - r/2 - -5

We will subtract 2 from -5. 2 - -5 = 7

Since the slope is 2, and 2 - -5 = 7, then 3 - r = 7x2 = 14.

3 - 14 = -11

r = -11

Answer:

$2.25

Step-by-step explanation:

last year price = $3.00

this year price = $3.00 - (25% × $3.00)

= $3.00 - $0.75

= $2.25

Answer:

D

......................

Answer:

[tex]x^2+2x+4[/tex]

Step-by-step explanation:

This expression can also be written as a difference of cubes:

[tex]x^3-2^3[/tex]

A important formula to remember is:

[tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]

We can use this to factor this expression:

[tex]x^3-2^3=(x-2)(x^2+2x+4)[/tex]

Therefore the other factor is:

[tex]x^2+2x+4[/tex]

Step-by-step explanation:

opp angles are equal in kite

so x = 48°

bigger diagonal bisects smaller diagonal

w=1.6cm

take ∆rey

r= 90°

angle rye = 48°

90+48+y = 180

y= 90-48=42°

Answer:

22.2 ft

Step-by-step explanation:

=) B² = H² - P²

=) B² = 32² - 23²

=) B² = 1024 - 529

=) B = 495 root sq.

=) B = 22.2 ft

Answer:

(-2/3, 4)

Step-by-step explanation:

3x+2y=10

-12x-2y=-4

-9x=6

x=-6/9=-2/3

-2+2y=10

y=4

Answer:

105% ?

Step-by-step explanation:

I'm not entirely sure if the 1 yard 'squared' is considered in the 30% but assuming it's not ... 1yd =30% 1yd^2=60% and 2yd=45% so 60%+45%=100%

Answer:

55

Step-by-step explanation:

The Distance between (-2, -5) and (-2, 6) is 11 and the distance between (-2, 5) and (3, 5) [the altitiude] is 5. 11 x 5 is 55 so therefore the area is 55 :)

Answer:

Zachary invests $470 into the account that earns 5% simple interest. At the end of 2 years, the account balance is $517

Step-by-step explanation:

I took the test

The new account balance at the end of 2 years is $517.

5 years

Using this formula

I= (P+r×t)

Where:

I=Interest=?

P=Principal=$400

r=Interest rate=3.5%

t=Time=5 years

Hence:

I= ($400×0.035 x 5)

I= $70

2 years

I=Interest=?

P=Principal=$470

r=Interest rate=5%

t=Time=2 years

I=($470+0.05×2)

I=$47

New balance:

New balance=$400+$70+$47

New balance=$517

Inconclusion the new account balance at the end of 2 years is $517.

Learn more about simple interest here:https://brainly.com/question/2294792

Answer:

false

Step-by-step explanation:

it cannot possibly be 180 because when you add up the other two together and then add 180 it is over 360 degrees

Answer: 9sqrt(3)

Step-by-step explanation:

First, we can prime factorize 243.

243 = 3^5

Therefore we are computing the square root of 3^5

3^5 = 3^4 * 3^1; 3^4 = (3^2)^2

Therefore, sqrt(3^5) = sqrt((3^2)^2))*3^1)

= 3^2*sqrt(3)

= 9sqrt(3)

Answer:

D. 11/24

Step-by-step explanation:

→ [tex]\frac{5}{6} -\frac{3}{8}[/tex]

→ [tex]\frac{40-18}{48}[/tex]

→ [tex]\frac{22}{48}[/tex]

→ [tex]\frac{11}{24}[/tex]

Answer:

D is the answer

Step-by-step explanation:

[tex]\frac{5}{6} - \frac{3}{8} \\[/tex]

find a common factor between 6 and 8, thats 24.

(multiply the first fraction by 4, second by 3, both numerator and denominator)

Becomes:

[tex]\frac{20}{24} - \frac{9}{24}[/tex]

Then subtract the numerators, keeping the denominators the same:

20 - 9 = 11;  

So the answer is:

[tex]\frac{11}{24}[/tex]

Answer:

80

Step-by-step explanation:

(x + 45) - (1.5x - 12) = 17

x + 45 - 1.5x + 12 = 17

-0.5x+57=17

-0.5x=-40

-40/-0.5=80

Answer:

18.90

Step-by-step explanation:

A) For a meal that cost nothing, starving people would line up for hours, even in the middle of Times Square.

A may be the answer.

B) All across the nation, starving people who couldn't buy food stood in breadlines for hours.

B is not the answer.

C) Millions of men and women were out of work and hungry during the Great Depression.

C is not the answer.

D) Breadlines in the Times Square provided free meals for hungry men and women.

D is not the answer.

Let me know if this is the correct answer. :)

Answer:

c ≈ 16.55cm ; ∠A = 65 degrees ; ∠B = 25 degrees

Step-by-step explanation:

Because of the Pythagorean theorem, we can solve for c.

This theorem states: a^2 + b^2 = c^2

Since there can only be 180 degrees in a triangle, angle C must be our largest angle. This means that side c is our hypotenuse (the longest side).

Using all of this information, we can say that 15^2 + 7^2 = c^2.

Simplifying that equation, we get that 274 = c^2.

In order to find c, we must square root both sides, and we find that c is about 16.55 cm long.

Using SOHCAHTOA, we know that the tan(∠B)=[tex]\frac{7}{15}[/tex]. Therefore, the arctan ([tex]\frac{7}{15}[/tex]) = ∠B.

Once you find that ∠B is about 25 degrees, you can add ∠B and ∠C together and subtract that from 180 to find ∠A.

∠A = 65 degrees.