Leaf U. Allone needs to borrow $120,000 from his local bank for the home he is buying. The bank offers a 30 year mortgage at an APR of 6.5%.

A) How many monthly payments would it take to pay off the 30 year loan?

B) What is her monthly payment on the 30 year loan?

C) What is the total paid to the bank over 30 years?


D) How much of that is interest?

The elements that are in A and B in the Venn diagram that represents the pizza topping preferences are (Maria, Zack, Bo).

A venn diagram represents information in a set using circles. The intersection of both circles represents those that like both pepperoni and olives. This is element A and B.

The names at the intersection of both circles are (Maria, Zack, Bo).

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Answer:

$30.21

Step-by-step explanation:

Answer:

Answer is [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

To find the interval of x. Use our equations to equal each other.

[tex]-x^2+2x=y,y=0[/tex]

[tex]-x^2+2x=0\\-x(x-2)=0\\-x=0 , (x-2)=0\\x=0 ,2[/tex]

[tex]\int\limits^2_0 {-x^2+2x} \, dx[/tex]

Integrate.

[tex]\frac{-x^3}{3}+x^2\\(\frac{-2^3}{3}+2^2)-[\frac{-0^3}{3}+0^2]\\-\frac{8}{3} +4-0\\-\frac{8}{3}+\frac{12}{3} =4/3[/tex]

Using Desmos I have Graphs of both of the equations you have provided. The problem asks us to find the shaded region between those curves/equations.

Proof Check your interval of x.

Answer:

500(-1/5)^(n-1)

Step-by-step explanation:

Each term after the first is obtained by multiplying by -1/5.

This is a geometric series.

The nth term = a1 r^n-1)

= 500(-1/5)^(n-1)

Just remember that 100% = 1.00 !

y = .78x

y = 108.5x

y = .946x

Answer:

1/2=2/4

Step-by-step explanation:

1/4=4/8 - no, if you multiply 1/4 x 4 to get numerator match = 4/32

1/2=2/4 - YES , 1/2 x 2  = 2/4

3/5=5/10 = no if you multiply 3/5 x 2 to get denominator match = 6/10

2/3=3/6 = no if you multiply 2/3 x 2 to get denominator match = 4/6

A z-table is also known as the standard normal distribution table. The percentage of the population that would fall in the 10 to 22 mm Hg range is 0.9386.

A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.

Given the mean and the standard deviation are 16mmHg and 3.2 mmHg, therefore, the percentage of the population whose blood pressure will fall in the range of 10 to 22 mm Hg are,

[tex]P(10 < x < 22) = P(\dfrac{10-16}{3.2} < Z < \dfrac{22-16}{3.2})[/tex]

[tex]= P(-1.875 < Z < 1.875)\\\\=P(Z < 1.875)-P(Z < -1.875)\\\\= 0.9693-0.0307\\\\= 0.9386[/tex]

Hence, the percentage of the population that would fall in the 10 to 22 mm Hg range is 0.9386.

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Answer:

c = sqroot45

Put a 45 in the box under the square root.

Step-by-step explanation:

Use Pythagorean Theorem. See image.

Also, sqroot45 can be simplified. It 3root5, just in case they ask that next.

Answer:

c=√45

Step-by-step explanation:

I'm assuming this question is before Pythagorean theorem so.

Big square area:

[tex](3 + 6) \times (3 + 6) = 81[/tex]

All four right-angled triangles area:

[tex]4( \frac{1}{2} \times 3 \times 6) = 36[/tex]

Smaller square area:

[tex]81 - 36 = 45[/tex]

Value of c:

[tex] {c}^{2} = 45 \\ c = \sqrt{45} [/tex]

Answer:

$0.68

Step-by-step explanation:

you have to do:

9.95 x .068

or

9.95 x 6.8 ÷ 100

and you would get 0.6766 but rounded to the nearest hundredth would be $0.68

Step-by-step explanation:

2 = 15

because it's Vertically opposite angle(VOA)

1 = 180 -15 because it is straight line

1 = 165

1 = 3

3 = 165

because it's Vertically opposite angle(VOA)

Answer:

This is the answer I understood and got.

B. Yes. There is a constant of proportionality of $4.50.

Step-by-step explanation:

When you divided 9/2, you get 4.5

When you divide 22.5/5, you get 4.5

When you divide 31.5/7, you get 4.5

* REMEMBER IT'S ASKING DO THE NUMER OF GAMES AND PRICE FOR A PROPORTIONAL RELATIONSHIP *

So, y= 4.5x

Answer:

25. -7/5 [tex]\leq[/tex] x [tex]\leq[/tex] 1

Step-by-step explanation:

18:

[tex]5-|x|\leq 2\\-|x| \leq -3\\|x|\leq 3\\x\geq -3[/tex]or       [tex]x\leq 3[/tex]

25:

[tex]3|5x+1|-6\geq 12\\3|5x+1|\geq 18\\|5x+1|\geq 6\\x\leq -7/5[/tex]or               [tex]x\geq 1[/tex]

[tex]-7/5\leq x\leq 1[/tex]

I don't think I explained this well let me know if you need more explanation.

Answer:

EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

4/7

Step-by-step explanation:

[tex] \hookrightarrow \sf \frac{200}{350} [/tex]

[tex]\hookrightarrow \sf \: \frac{ \sout{200}}{ \sout{350}} = \frac{\sout{100}}{\sout{175}} = \frac{4}{7} [/tex]

Therefore, [tex] \rm \frac{200}{350} [/tex] = [tex] \sf \frac{4}{7} [/tex]

Find the slope of the tangent to the curve [tex]y=3+4 x^{2}-2 x^{3}[/tex] at the point where [tex]x=a\text{.}[/tex]

The derivative of a function can be determined using different rules and formulations. One of the important rules here is the power rule. Power rule is used to differentiate functions in the form of [tex]f(x) = x^n[/tex].

[tex]\; \dfrac{d}{dx} (x^n) = nx^{n-1}[/tex]

We are supposed to find the slope of the tangent to the curve [tex]y=3+4 x^{2}-2 x^{3}[/tex] at the point where [tex]x=a[/tex].

[tex]\implies \dfrac{d}{dx}(3+4x^2-2x^3)[/tex]

[tex]\implies \dfrac{d}{dx}(0+4(2x^{2-1})-2(3x^{3-1})[/tex]

[tex]\implies \dfrac{d}{dx}(0+4(2x)-2(3x^2)[/tex]

[tex]\implies \dfrac{d}{dx}(8x-6x^2[/tex]

Now plugging [tex]x=a[/tex] in the above equation, we obtain the following results:

[tex]\implies \boxed{8a -6a^2}[/tex]

Hence, this is our required solution for this question.

Answer:

A

Step-by-step explanation:

because that's the answer

The correct graph that includes a function, its inverse, and a dashed line that verifies the relationship is shown in option 1.

Used the concept of function that states,

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable and another variable.

Ask about the function, its inverse, and a dashed line that verifies the relationship.

Now from the first graph;

The dashed line is y = x.

And the graph shows the functions and their inverse as both graphs are opposite to each other.

Therefore, option 1 is true.

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Answer:

-2

Step-by-step explanation:

The slope of the function can also be described as its gradient.

To find the gradient of the function you can use:

[tex] \frac{change \: in \: y}{change \: in \: x} [/tex]

This gives us

[tex] \frac{ (- 10) - 10}{8 - ( - 2)} [/tex]

Which equals -2

Answer:

1/6 or 0.167

Step-by-step explanation:

First understand that 4 x 1/4 is equal to 1, then replace it in the equation

1 - 5/6

Turn the whole number into a fraction that can be computed

6/6 - 5/6

Solve the equation

6/6 - 5/6 = 1/6

If you need it as a decimal enter it in a calculator and get

0.16666666667

Since the 6 is repeating you can just round that to

0.167

Answer:

cos B = 9/41

tan B = 40/9

sin B = 40/41

Step-by-step explanation:

There is no picture, so I am making a few assumptions.

I am assuming that angle C is the right angle and is opposite 41.

I am also assuming that angle B is formed by the sides that measure 9 and 41. The hypotenuse is 41.

For angle B, the adjacent leg is 9, and the opposite leg is 40.

cos B = adj/hyp = 9/41

tan B = opp/adj = 40/9

sin B = opp/hyp = 40/41

Work Shown:

L = 6 = length

W = 2 = width

P = 2(L+W)

P = 2(6+2)

P = 2(8)

P = 16 feet of fencing is needed

An alternative formula is P = 2L+2W

Answer:

13/6 is the improper fraction

Step-by-step explanation:

Step 1:  Convert the whole number into a fraction

2 is a whole number which replicates two 6/6's which adds up to 12/6

Step 2:  Combine the two fractions

12/6 + 1/6

13/6

Answer:  13/6 is the improper fraction

Answer:

13/6

Step-by-step explanation:

6/6 = 1

12/6 = 2

12/6 + 1/6 =13/6

The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65

The distribution of the fruits is given as:

The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is:

P = (Apple + Pineapple)/Total

This gives

P = (12 + 21)/(21 + 12 + 18)

Evaluate

P = 0.65

Hence, the probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65

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Step-by-step explanation:

1) The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length....

= Solution ,

Length ( L ) = ?

breadth ( b ) = 10xy cm

area ( a ) = ( 30x² + 20xy )

Now ,

area ( a ) = l × b

or, ( 30x²y + 20xy ) = L × 10xy cm

[tex]or,\frac{30 {xy + 20xy}^{2} }{10xy} = l \\ [/tex]

[tex]or, \: l = 3 {x}^{2 - 1} + 2cm[/tex]

[tex]\boxed{\sf{l = (3x+2)cm}}[/tex]

2) Subtract the quotient when 20x⁴y² is divided by 5x³y from the product of 2x and 3y.

= Solution,

[tex] = \frac{20 {x}^{4} {y}^{2} }{5 {x}^{3} y} \\ [/tex]

[tex] = 4xy[/tex]

The product of 3x and 4y = 6xy

= 6x - 4xy

[tex] = \boxed{\sf {2xy}}[/tex]

hope it helped !!!!

Answer:

Step-by-step explanation:

A=1

B=41

C=3

Answer:

11

Step-by-step explanation:

h = 15 yards

Volume = 475.17 cubic yards

Diameter = 5.5*2 = 11.0 = 11 yards

Answer:

A, C and D are true statements.

Step-by-step explanation:

Megan constructed triangle ABC.

In Megan’s triangle, m∠A is represented by x°.

Therefore, ∠A = x°

For m∠B is 4 times greater than m∠A

Therefore, ∠B = 4x°

For m∠C is 30° less than 5 times m∠A.

Therefore, ∠C = 5x°-30°

ABC is a triangle.

Sum of all angles of a triangle is 180°. Angle sum property of triangle.

m∠A + m∠B + m∠C = 180°

x° + 4x° + 5x°-30° = 180°

x° = 15°

True Statements are:

A) m∠A = x°

C) m∠B = (4x)°

D) m∠C = (5x – 30)°

Answer:

Step-by-step explanation: