You and your partner decide to buy a house. The house costs £325,000. It will take 25 years
to pay off the mortgage and it will cost you £975,000 in total. What was your mortgage rate?

Answer:84

Step-by-step explanation:

Answer:

Quadrant IV..............

Answer:

455.1 cm²

Step-by-step explanation:

The two containers have the following;

Large container

Volume : 3456 cm³

Surface area : 1024 cm²

Small container

Volume : 1458 cm³

Surface area : ?

If the two containers are mathematically similar then first find the volume scale factor

Volume of large/ volume of small

3456/1024 = 3.375

Length scale factor will be cube root of volume scale factor

∛3.375 = 1.5

Area scale factor is a square of the length scale factor

=1.5² = 2.25

=Surface area of the small container will be :

Larger area = 2.25 * small area

1024 = 2.25 * small area

1024/2.25 = small area

Surface area of the smaller container 455.1 cm².

Answer:

4.2

Step-by-step explanation:

Ok the points are (-1, 2) and (1, -2)

Put it in the formula

d = [tex]\sqrt{(1 - -1)^2 + (-2 - 2)^2} \\\sqrt{(2)^2 + (-4)^2} \\\sqrt{2 + 16} \\\sqrt{18} \\[/tex]

√18 = 4.2426 ≈ 4.2

Hope this helps ya!!

Answer:

Yes

Step-by-step explanation:

Every x value has one y-value.

Answer:

yes

Step-by-step explanation:

yes it is because each of the x has a unique y

9 has 9

7 has 4

1 has 2

2 has 6

5 has 0

Answer:

do u go to dutchtown

Step-by-step explanation:c

Answer:

x=45

Step-by-step explanation:

I can give you two solutions

First solution:

In [tex]\triangle FBA[/tex] we know that

[tex]\angle BFA + \angle FAB + \angle ABF=180\\\\90+x+\angle ABF =180\\\\\angle ABF =90-x[/tex]

same case for [tex]\angle EBC[/tex] in [tex]\triangle ECB[/tex]

so we have that

[tex]\angle ABC = \angle ABF + \angle FBE +\angle EBC\\\\\angle ABC = 90-x+45+90-x\\\\\angle ABC = 180+45-2x[/tex]

we leave it like that because it's convenient

Now by properties of parallelograms we know that opposite sides add up to 180

[tex]\angle FAB + \angle ABC = 180\\\\x+180+45-2x=180\\\\x+45-2x=0\\\\45-x=0\\\\x=45[/tex]

so one angle is 45  and the other one is 135

Solution 2

if we look at DEBF we can say that it's a cyclic quadrilateral

because opposite sides add up to 180

in our case

[tex]\angle DFB = 180 -\angle BFA = 180-90 = 90\\\\\angle DEB = 90\\\\\Rightarrow \angle DFB + \angle DEB = 180\\\\[/tex]

so for the other to angles is also true

[tex]\angle FDE + \angle EBF = 180\\\\\angle FDE +45 = 180\\\\\angle FDE = 135[/tex]

so that's the measure of one angle of the parallelogram

the other angle x is

[tex]\angle EDF + \angle FAB = 180\\\\135+x=180\\\\x=45[/tex]

There you go choose yourself

Answer:

3rd one

Step-by-step explanation:

look t the form x equals up to a diviser

Answer:

ajfbgaulfgsuidglml

Step-by-step example:

(1).

f(x) = |x − 5| + 3

f(2) = |2 − 5| + 3 = |−3| + 3 = 3 + 3 = 6

(2).

f(x) = 8 − 3|x + 2|

f(−6) = 8 − 3|−6 + 2| = 8 − 3|−4| = 8 − 3·4 = 8 −  12 = − 4

(3).

For f(x) = |x − h| + k the turning point is (h, k), so:

f(x) = |x − 2| + 3   ⇒  the turning point is: (2, 3)

The value of f (2) will be;

⇒ f(2) = 6

The value of f (- 6) will be;

⇒ f(-6) = 4

The turning point of the graph will be;

⇒ (2, 3)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

1) The function is,

⇒ f(x) = |x−5| + 3

2) The function is,

⇒ f(x) = 8 - 3 |x+ 2|

3) The function is,

⇒ f(x) = |x−2| + 3

Now,

1) The function is,

⇒ f(x) = |x−5| + 3

Put x = 2;

⇒ f (2) = |2 - 5| + 3

⇒ f (2) = 3 + 3

⇒ f(2) = 6

2) The function is,

⇒ f(x) = 8 - 3 |x+ 2|

Put x = - 6;

⇒ f (- 6) = 8 - 3 |- 6 + 2|

⇒ f (-6) = 8 - 3 × 4

⇒ f(-6) = 8 - 12

⇒ f (- 6) = - 4

3) The function is,

⇒ f(x) = |x−2| + 3

We know that;

Turning point of the function f (x) = |x - h| + k are (h, k)

So, By comparing we get;

The turning point of the graph of f(x) = |x−2| + 3 are (2, 3).

Thus, The value of f (2) will be;

⇒ f(2) = 6

The value of f (- 6) will be;

⇒ f(-6) = 4

The turning point of the graph will be;

⇒ (2, 3)

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Answer:

1.869 more miles

Step-by-step explanation:

the formula is

[tex]distance\:of\:jake-distance\:of\:tom\\\\=4.89-3.021\\\\=1.869miles[/tex]

Answer:

1. 869 miles farther

Step-by-step explanation:

4.89-3.021= 1.869miles

Therefore, Jake went 1.869 miles farther than Tom did.

Answer:

$70

Step-by-step explanation:

Answer:

The answer is $70

Step-by-step explanation:

Answer:

A.)

Step-by-step explanation:

literally guessed but was right lol

Option first is correct.

A rectangular equation, or an equation in rectangular form is an equation composed of variables like x and y which can be graphed on regular cartesian plane.

According to the given question

We have

x = 2sec(t) + 1 and y = 6tan(t)

Now the above expressions can be written as :

x -1 = 2sec(t)

⇒  [tex]sec(t)\frac{x-1}{2}[/tex]

similarly,

[tex]\frac{y}{6} = tan(t)[/tex]

From trigonometric identities we know that

[tex]1 + tan^{2} \ t = sec^{2} \ t[/tex]

Substitute the value of tant and sect in the above identity

[tex]1 + (\frac{y}{6} )^{2} =(\frac{x-1}{2}) ^{2}[/tex]

⇒[tex]\frac{(x-1)^{2} }{4} -\frac{y^{2} }{36} =1[/tex], this is the required rectangular equation.

Hence, option first is correct.

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Note: Consider the expression is [tex](4+\sqrt{2})(6-\sqrt{2})[/tex].

Given:

[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]

To find:

The value of given expression in the form of [tex]b+c\sqrt{2}[/tex].

Solution:

We have,

[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]

Using distributive property, we get

[tex]=4(6-\sqrt{2})+\sqrt{2}(6-\sqrt{2})[/tex]

[tex]=4(6)+4(-\sqrt{2})+\sqrt{2}(6)+\sqrt{2}(-\sqrt{2})[/tex]

[tex]=24-4\sqrt{2}+6\sqrt{2}-2[/tex]

On combining like terms, we get

[tex]=(24-2)+(6\sqrt{2}-4\sqrt{2})[/tex]

[tex]=22+2\sqrt{2}[/tex]

On comparing with [tex]b+c\sqrt{2}[/tex], we get

[tex]a=22,b=2[/tex]

Therefore, the required form is [tex]22+2\sqrt{2}[/tex].

The total score for the basketball game was 50 points.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

Points scored by Marco in basketball game = 20

Also, points scored by Marco is 40% of the total score,

Implies that,

40% = 20

1 % = 20 / 40

To determine total score, find value of 100%,

100 % = (20 / 40) x 100

          = 50

The total score for the basketball game was 50.

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Answer:

Factor 25v3−40v2+35v−56

25v3−40v2+35v−56

=(5v−8)(5v2+7)

Answer:

(5v−8)(5v2+7)

Answer:

D they both are correct, because it is reflected equally from both coordinates.

Step-by-step explanation:

Answer:

n<=7 (less than or equal to)

Step-by-step explanation:

42/6=7, so 7 is the max number of laps he will run.

Answer:

$546

Step-by-step explanation:

726 is 1/3. 3/3 is 2178. - 1632= 546.

Answer:

[tex]a_c=4.17\ m/s^2[/tex]

Step-by-step explanation:

Centripetal Acceleration

It's the acceleration of an object moving in a uniform circular motion that pushed the object toward the center.

Its magnitude can be calculated as follows:

[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]

Where:

v = tangential speed

r  = radius of the circle

The ball is tied to a string describing a circular motion with a radius of r=1.5 m. The tangential speed is v=2.5 m/s, thus the acceleration is:

[tex]\displaystyle a_c=\frac{2.5^2}{1.5}[/tex]

[tex]\displaystyle a_c=\frac{6.25}{1.5}[/tex]

[tex]\mathbf{a_c=4.17\ m/s^2}[/tex]

Answer:

5. 36d¹⁰/6d⁵ = 6d⁵

6. [(4³)²]² = 4⁷

7. 5³•7⁵•10/5•7⁴ = 5²•7• 10

8. (2²)⁷ = 2⁹

9. (8v⁹)⁵ = 8⁵V¹⁴

Step-by-step explanation:

When solving questions having indices, we follow certain rules in Mathematics

a) a^b/a^c = a^b-c

b) (a^b)^c = a^b+ c

Hence:

5. 36d¹⁰/6d⁵ =

(36/6)^d^10-5 = 6d⁵

6. [(4³)²]²

= (4)^3 + 2+ 2 = 4⁷

7. 5³•7⁵•10/5•7⁴

= (5)^3-1 • (7) ^5-4• × 10

= 5²•7•10

8. (2²)⁷

= (2)^2 + 7

= 2⁹

9. (8v⁹)⁵

= 8⁵•v^9+5

= 8⁵v¹⁴

Answer:

A The answer is A

Step-by-step explanation:

Answer:

Expression 1= 5

Expression 2 = 1 - 16

Step-by-step explanation:

Answer:

The y-intercept represents the number of mammals when they were originally counted.

The y-intercept.is 75.

The asymptote indicates that the number of mammals counted when the study began was 120.

The asymptote indicates that as years pass, the number of mammals will approach 0.

Step-by-step explanation:

im a lil late but here ya go and for anyone further who needs these answers.. Its kind of obvious thugh just by looking at the graph what the answers are.

Answer: orchard B

Step-by-step explanation: (orchard A) if you were to only bring the 12 students, the cost would be $108. But since it requires 3 chaperones you’d add 3 to the already 12 students making the full cost $135.

(Orchard B) if you were take only the 12 kids to the orchard it would cost you $120 but because it requires ONLY 1 chaperone, the final cost would be $130. allowing it to be $5 dollars less than what Orchard A would cost.

Answer:

Total number of coins Nancy and bill have = 6x - 5

Step-by-step explanation:

Nancy and bill collect coins. Nancy has x coins. Bill has 5 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and bill have . Simplify your answer .

Let

Number of Nancy's coins = x

Number of Bill's coins = 5x - 5

Total number of coins Nancy and bill have = Number of Nancy's coins + Number of Bill's coins

= x + (5x - 5)

= x + 5x - 5

= 6x - 5

Total number of coins Nancy and bill have = 6x - 5

Answer:

2

Step-by-step explanation:

Answer:

There is no diagram for our observation. Please refine your question next time.

Step-by-step explanation: