Diego has purchased a $159000 home with a 30-year mortgage at 5.05%. He can make a monthly payment if $1300. If he were to make this each month, how long will it take him to pay off his mortgage?

The solution to the equation [tex]\sqrt[3]{x + 8} = -4[/tex] is x = 72

The equation is given as:

[tex]\sqrt[3]{x + 8} = -4[/tex]

Take the cube of both sides

x + 8 = -64

Subtract 8 from both sides

x = 72

Hence, the solution to the equation [tex]\sqrt[3]{x + 8} = -4[/tex] is x = 72

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Explanation:

See the diagram below.

The diagram shows we have a right triangle with these side lengths:

We'll use the pythagorean theorem to find c

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{(8)^2 + (5.5)^2}\\\\c = \sqrt{94.25}\\\\c \approx 9.7082\\\\c \approx 9.7\\\\[/tex]

Mrs. Durham and Brett are about 9.7 meters apart.

Answer:

2, 9 , 16 , 23 , 30 ......

Step-by-step explanation:

[tex]a_n = 7n - 5[/tex]

       [tex]a_1 = 7*1 - 5 = 7-5 = 2\\\\a_2 = 7*2 - 5 = 14 - 5 = 9\\\\a_3 = 7*3 - 5 = 21 - 5 = 16\\\\a_4= 7*4 - 5 = 28 - 5 = 23\\\\a_5= 7*5 - 5 = 35 - 5 = 30[/tex]

Answer:

(f ∘ f)(–1) = –1

Step-by-step explanation:

To solve a composite function, rewrite using brackets and solve from inside to outside.

(f ∘ f)(x) is the same as:    f[f(x)]

Given that x = –1 in (f ∘ f)(–1), we are solving for:

f[f(–1)] = ?

Solve for f(–1) inside the square brackets first.

f(x) = x³

f(–1) = (–1)³    Simplify.

f(–1) = –1       Solved the inside.

Substitute f(–1) = –1 into the square brackets.

f[f(–1)] = f[–1]

Now, we can solve the outside.

Solve with the equation of the function, x³.

f[–1] = x³

f[–1] = [–1]³     Substitute x = –1.

f[–1] = (–1)³     Simplify.

f[–1] = –1        Final answer

Answer:

The answer would be 90.

Step-by-step explanation:

There are two ways to solve this problem.
Option 1:  See that 88+36 is equal to 124. Then subtract 34 from 124 to get your answer of 90.
Option 2. See that you subtracted two from 36 to get 34. To balance the equation out, you must add two to 88 to get an answer of 90.
I hope this helps! :)

Hey there!

88 + 36 VS ? + 34

88 + 36 VS x + 34

88 + 36 = x + 34

124 = x + 34

NEW EQUATION:

124 = x + 34

x + 34 = 124

SUBTRACT 34 to BOTH SIDES

x + 34 - 34 = 124 - 34

SIMPLIFY IT!
x = 124 - 34

x = 90

Therefore, the mystery number/answer is: 90

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The equation that can pair with x + 2y = 5 to generate an inconsistent system is given by:

2x + 4y = 3.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

A inconsistent system is a system that has no solution, that is, when the coefficients of x and y are multiplies, but the result is not. Hence, the option that gives an inconsistent system is given by:

2x + 4y = 3.

As when we try to solve the system, we would end up with the following situation:

[tex]0x = c, c \neq 0[/tex].

Which is impossible.

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if this helped you say meow

i may be wrong but i think you should divide 2.4% by the 15000 wicth  is

0.00000016 or just 0.16 or maybe  muptication 2.4% x15000 whicth is 360 hope this helps :D

Answer:

sorry if this is wrong, I don't take algebra two and I won't have to, but maybe a polynomial with three turns

The amount of money collected after 5 days is $181,500

The number of people that collaborated during the first 5

days is 363 people

To solve this problem, we would use the Geometric Progression with the formula:

[tex]\frac{a(r^n -1)}{r-1} \\[/tex]

Where:

r= 3

a= 3

n= 5

[tex]\frac{3(3^5 - 1)}{3-1} \\[/tex]

= [tex]\frac{3(243 -1)}{2}[/tex]

121 * 3 = 363 people.

Therefore, the amount contributed is $500 * 363= $181,500

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An associate in a scatter plot tells us the relation between the two variables. The points that are true about the given scatter plot are F and C.

An associate in a scatter plot tells us the relation between the two variables. There are 4 types of associates:

Positive associate: If the value of one variable is increasing the value of another increase as well, but the relation is not linear.

Negative associate: If the value of one variable is decreasing with the value of another increasing as well, but the relation is not linear.

Linear Associate: If the value of one is dependent on the other such that they follow a function of line, and all the data points are on that function line.

Non-linear Associate: If the data points of the plot are scattered and random, such that there is no relationship between the points.

The points that are true about the given scatter plot are:

F.) A cluster appears to be at the bottom left corner.

C.) There appears to be a positive association.

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Answer:

14

Step-by-step explanation:

4x + 2x + 6 = 90

6x + 6 = 90

6x = 84

x = 14

Answer:

1/15 or 0.0666.. repeating

Step-by-step explanation:

1. Group all a terms on the left side of the equation

Add a to both sides

[tex]46a+\frac{5}{3}+a=\frac{24}{5}-a+a[/tex]

Group like terms:

[tex]46a+a+\frac{5}{3}=\frac{24}{5}-a+a[/tex]

Simplify the arithmetic:

[tex]47a+\frac{5}{3}=\frac{24}{5}-a+a[/tex]

Group like terms:

[tex]47a+\frac{5}{3}=-a+a+\frac{24}{5}[/tex]

Simplify the arithmetic:

[tex]47a+\frac{5}{3}=\frac{24}{5}[/tex]

2. Group all constants on the right side of the equation

[tex]47a+\frac{5}{3}=\frac{24}{5}[/tex]

Subtract [tex]\frac{5}{3}[/tex] from both sides:

[tex]47a+\frac{5}{3}-\frac{5}{3}=\frac{24}{5}-\frac{5}{3}[/tex]

Combine the fractions:

[tex]47a+\frac{5-5}{3}=\frac{24}{5}-\frac{5}{3}[/tex]

Combine the numerators:

[tex]47a+\frac{0}{3}=\frac{24}{5}-\frac{5}{3}[/tex]

Reduce the zero numerator:

[tex]47a+0=\frac{24}{5}-\frac{5}{3}[/tex]

Simplify the arithmetic:

[tex]47a=\frac{24}{5}-\frac{5}{3}[/tex]

Find the lowest common denominator:

[tex]47a=\frac{24\cdot 3}{5\cdot 3}+\frac{-5\cdot 5}{3\cdot 5}[/tex]

Multiply the denominators:

[tex]47a=\frac{24\cdot 3}{15}+\frac{-5\cdot 5}{15}[/tex]

Multiply the numerators:

[tex]47a=\frac{72}{15}+\frac{-25}{15}[/tex]

Combine the fractions:

[tex]47a=\frac{72-25}{15}[/tex]

Combine the numerators:

[tex]47a=\frac{47}{15}[/tex]

3. Isolate the a

[tex]47a=\frac{47}{15}[/tex]

Divide both sides by 47:

[tex]\frac{47a}{47}=\frac{\frac{47}{15}}{47}[/tex]

Simplify the division:

[tex]a=\frac{47}{15\cdot 47}[/tex]

Simplify the right side:

[tex]a=\frac{1}{15}[/tex]

hope this helps:)

Answer:

0.06 or 1/15

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

6x125=750 hope this helps

Answer:

[tex]\frac{19+8\sqrt{3} }{13}[/tex]

Step-by-step explanation:

Given :

Multiply using the reciprocal :

Simplify numerator and denominator :

---Divide by 1565

9390 chairs / 1565 tables

6 chairs / table

Hope this helps!

Answer:

1/8

Step-by-step explanation:

Probability denotes the possibility of something happening. It is a field of mathematics that studies the probability of a random event occurring. From 0 to 1.

the value is expressed.

When a coin is tossed, the chance of it landing on heads is 1/2, and vice versa.

So, we divide 1/2 by the number of times it lands on heads to get 1/4. However, when the second one landed on tails, we must multiply it by 1/2 again, making 1/4 x 1/2 = 1/8.

hope this helps:)

The polynomial with 6 roots is the one of degree 6, so the correct option is:

[tex]f(x) = 7x^6 + 3x^2 + 12[/tex]

You need to remember that if p(x) is a polynomial of degree N, then it has N roots (such that some of these N roots may be equal or not).

Then we just need to find the polynomial of degree 6. (Remember that the degree represents the maximum exponent of the polynomial).

In this case, the only one of degree 6 is:

[tex]f(x) = 7x^6 + 3x^2 + 12[/tex]

Which is the last option.

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Answer:

The answer is D

Step-by-step explanation:

I took the test

Answer: Cookie=2$ and Muffin=1$

Step-by-step explanation: Cookie=x and Muffin =y

then, 2x+y=5...(1)

x+y=3...(2)

(1) -  (2)

2x+y-x-y=5-3

or, x=2

then y=1

Answer:

c = 2

m= 1

Step-by-step explanation:

Im guessing you will need to use simultaneous equations

Let 'c' be the cost of 1 cookie and 'm' be the cost of 1 muffin

1) 2c + 1m = 5 -

2) 1c + 1m = 3

c / = 2

So c is 2

1) Label the equations 1 and 2

2) Find a common term in both equations ( bold)

3) Eliminate 1m by subtracting equation (2) from equation 1

( To know if to subtract or add always follow this rule: If the common terms and the same sign subtract if they are a different sign add)

4) Substitute c in any of the equation ( 1 or 2) to find m

I will use equation 2 because I think its easier

2) 1c+1m = 3

2 + m = 3

m= 3-2

m= 1

the answer is A 47

Step-by-step explanation:

48+24÷8-2²

48+3-2²

48+3-4

=47

hope it helps!

The number of hits the player that most outperformed the predicted number of home runs based on the model is: 163 hits.

A model can be represented by an equation in slope-intercept form which can be used to make predictions between the association or relationship between two variables.

From the details about the predictions given in the table above, 7 players outperformed the predicted number of home runs.

However, the player that outperformed the predicted number of home runs the most is the player that had 31 home runs with a predicted home run of 23.

The number of hits the player had was 163.

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The range tells us the possible y-values that occur in the function.

When describing the range, we can write an inequality using y.

When describing the range of a quadratic function, we typically use the ≥ or ≤ symbols when writing the inequality.

To write the range of a quadratic function,

We're given:

Because we're directly given the vertex, we just have to determine now whether the parabola opens up or down.

The other points that fall on the graph that we're given all have a lower y-coordinate value than 4, that means this parabola opens down.

Therefore, all other y-values for the function will be less than 4.

Therefore, y ≤ 4.

y ≤ 4

The sides

12-3a

12-3a

4(2a-5)=8a-40

so for perimeter we + them

(12-3a)+(12-3a)+(8a-40)

=

2a-16

Answer:

It depends if you pick a D or a T for P(not a vowel)

11/12 of the garden is occupied by broccoli and peppers. Therefore, 11 /12 of the garden has vegetable growing in it.

We know that 1/4 of the garden has broccoli and 2/3 of the garden has peppers, Therefore, let's add up those two fractions to find out how much of the whole garden that has broccoli and peppers.

Therefore,

1/ 4 + 2 / 3 = ?

The denominator needs to be the same. Therefore,

1/4 × 3/ 3 = 3 / 12

2/3 × 4 /4 = 8 / 12

Hence,

3 / 12 + 8 / 12 = 11 / 12

11/12 of the garden is occupied by broccoli and peppers. Therefore, 11 /12 of the garden has vegetable growing in it.

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53= 29t < 343

Step-by-step explanation:

Answer:

53 = 343t-29

Step-by-step explanation:

53 is equal to (53 =)

t times 343 (343t)

29 less than the quantity (-29)

Good luck! :)

Answer:(x-4)^2+(y+2)^2=121

Step-by-step explanation:

eqaution of circle is this

(x-h)^2+(y-k)^2=r^2

(x-4)^2+(y--2)^2=r^2

and 2 negatives make positive

(x-4)^2+(y+2)^2=r^2
and r^2=121

(x-4)^2+(y+2)^2=121

Answer:

lol

Step-by-step explanation:

lol

Answer:

The answer 7|3+6 is irrational because the sum of a rational number and irrational number is an irrational number.

Answer:

2

Step-by-step explanation:

-3 (4 - 7) + (2 x 5 - 17)

 -3 (4 - 7) + (10 - 17)

 -3 x (-3) + (-7)

   9 + (-7)

 9 - 7

   =2