Tuition for one year at the University of Houston is about $12,300. Azul plans to attend this university and will save money each month for the next 4 years. His parents have saved $4,860 for his first year of tuition. Which plan shows the amount of money Azul will need to save in order to pay for his first year at the University of Houston?

A. Azul will need to save $1,860 per month for the next 4 years.
B. Azul will need to save $155 per month for the next 4 years.
C. Azul will need to save $620 per month for the next 4 years.
D. Azul will need to save $256.25 per month for the next 4 years

Answers

Answer 1

Answer:

It should be C. 620

Step-by-step explanation:

Answer 2

Using proportions, it is found that Azul will need to save $155 per month for the next 4 years, and the correct option is B.

The total price of one year of tuition is $12,300, while his parents have saved $4,860.

Thus, the amount he has to save for the next 4 years is:

[tex]A = 12300 - 4860 = 7440[/tex]

4 years have 48 months, thus, he has to save $7440 in 48 months, which means that the monthly amount is:

[tex]\frac{7440}{48} = 155[/tex]

And the correct option is:

B. Azul will need to save $155 per month for the next 4 years.

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Related Questions

A product is marked down 15%; the sale price is $127.46. What
was the original price?

Answers

Answer: $ 149.95.

Step-by-step explanation:A product is marked down 15%; the sale price is $127.46. What was the original price? Substitute 127.46 for S.P and 15 for m in (1). So, the original price is $ 149.95.

The original price of the product will be $149.95.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred.

A product is marked down 15%.

The sale price is $127.46.

Then the original price of the product will be

Let x be the original price.

(1 – 0.15)x = $127.46

      0.85x = $127.46

              x = $149.95

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Add 1/2 + (-3/4)= show the work

Answers

2/4 - 3/4 = -1/4 hope this helps...

Answer:

2/4 - 3/4 = -1/4

Step-by-step explanation:

2/4 is half

3/4 is a little more than half

2/4-3/4=1/4

Hope this helps!! :D

how do u solve ax² -5ax+6a

Answers

Answer:

a(x - 3)(x - 2)

Step-by-step explanation:

[tex]a {x}^{2} - 5ax + 6a \\ \\ = a {x}^{2} - 3ax - 2ax + 6a \\ \\ = ax(x - 3) - 2a(x - 3) \\ \\ = (x - 3)(ax - 2a) \\ \\ = (x - 3)a(x - 2) \\ \\ = a(x - 3)(x - 2)[/tex]

HELP ASAP
Find the 15th term or the geometric sequence 7, -21, 63,

Answers

Answer:

33480783

Step-by-step explanation:

Finding the Common Ratio:

We know that the formula for the common ratio of a GP is:

r = aₙ / (aₙ₋₁)        (Where n is any integer)

replacing the values, taking n=2

r = -21 / 7

r = -3

Solving for the 15th Term:

We know that the Formula for the nth term of a GP:

G(n) = a * r ⁿ⁻¹     (where a is the first term and r is the common ratio)

replacing the values (taking n = 15 since we need the 15th term)

G(15) = 7 * (-3)¹⁴

G(15) = 33480783

Hence, the 15th term of the given GP is 33480783

Gabby accumulated $12,000 in credit card debt. If the interest rate is 4% per year and she does not make any payments for 8 years, how much will she owe on this debt in 8 years by compounding continuously?

Answers

Answer:

$16,525.53.

Step-by-step explanation:

A=Pe^rt

P=$12,000

r=0.04

t=8 years

Brainliest!!!!! Please hurry!!

Answers

Answer:

y = (-1/3)(x - 7) + 3

Step-by-step explanation:

m = (6-3)/(-2-7) = - 1/3

y - 3 = (-1/3)(x - 7) ⇒ y = (-1/3)(x - 7) + 3

Find the value of x that makes u and v parallel

Answers

Answer:

3

Step-by-step explanation:

equate the two together to get the value of x

The vertex of a parabola is (6,2), and the equation of its directrix is x = 8. What is the equation of this parabola in standard form?

a. (y−2)2=8(x−6)

b. (y−2)2=−8(x−6)

c. (x−6)2=−8(y−2)

d. (x−6)2=8(y−2)

Answers

Answer:

The equation of this parabola in standard form is (y - 2)² = -8(x - 6) ⇒ B

Step-by-step explanation:

Let us revise the standard form of the equation of a parabola

The standard form of the equation is (y - k)² = 4p(x - h), where

(h, k)  is the turning point (h + p, k)  are the coordinates of the focus x = h - p  is the equation of the directrix

∵ The vertex of a parabola is (6, 2)

→ From the fact above

h = 6 and k = 2

∵ The equation of its directrix is x = 8

→ From the fact above

h - p = 8

→ Substitute the value of h to find p

∵ 6 - p = 8

→ Subtract 6 from both sides

∴ - p = 2

→ Multiply both sides by -1

p = -2

→ Substitute the values of h, k, and p in the form above

∴ (y - 2)² = 4(-2)(x - 6)

∴ (y - 2)² = -8(x - 6)

The equation of this parabola in standard form is (y - 2)² = -8(x - 6)

each small square in the graph paper represents 1 square unit. tap picture.

Answers

Answer: The answer is 96 square units.

Step-by-step explanation:

(Because it's 8 square units long and 12 square units wide. L x W = Area)

So you have to do 12 x 8 and you should get the answer 96 square units.

Examine the system of equations.

y = negative one-fourth x minus 2

x = 4

What is the solution to the system?
(–3, –2)
(4, –3)
(4, –2)
(4, –1)

Answers

The answer is 4,-3

Irfcdxsaacd d

Answer:

4,-3

Step-by-step explanation:

Which of the following is a true statement concerning the use of a placebo?

A.

B.

C.

D.

Answers

Answer:

its B

Step-by-step explanation:

6.8x+9.3= -9.4+3.4(2-5x)

Answers

Answer: the answer to this is x=0.5

Step-by-step explanation:

In order to solve this you have to combine the multiplied terms into a single fraction so its going to look like this -   34x/5 + 9.3= -9.4+3.4(2-5x)

The reposition your terms and put together your multiplied terms into a fraction,Once you have that done distribute them

Subtract 9.3 on both sides.you may simplify and then multiply all the terms with the same value to get rid of the denominators from the fractions

also add 85x to both sides then finally divide both side by the same term which get you -59.5/119 and then simplify and you get -0.5

so x= -0.5

Answer:

x=-0.5

Step-by-step explanation:

step 1

6.8x+9.3=-9.4+3.4(2-5x)

6.8x+9.3=-9.4+(3.4)(2)+(3.4)(-5x) distribute

6.8x+9.3=-9.4+6.8+-17x

6.8x+9.3=(-17x)+(-9.4+6.8) combine like terms

6.8x+9.3=-17x+-2.6

6.8x+9.3=-17x-2.6

step 2

add 17x to both sides.

6.8x+9.3+17x=-17x2.6+17x

23.8x+9.3=-2.6

step 3

subtract 9.3 from both sides.

23.8x+9.3-9.3=-2.6-9.3

23.8x=-119

step 4

divide both sides by 23.8

23.8x/23.8= -11.9/23.8

The answer is =-0.5

which expression is equivalent to 6-(-8)
○ -6+8
○ -6+(-8)
○ 6+(-8)
○ 6+8​

Answers

Answer: 6 + 8

Step-by-step Explanation: When you're adding and subtracting positives and negatives and you see a minus a negative in a problem, you can change it to plus a positive.

So 6 - (-8) can be thought of as 6 + (+8).

Answer:6+8

Step-by-step explanation:

HELP PLEASE!!
40 POINTS FOR BOTH QUESTIONS

please please

Answers

Whats the question?? That would help if I knew

Answer:

1. Angle Bisector Theorem

(2x-1)/3x=9/15

15(2x-1)=9(3x)

30x-15=27x

3x=15

x=5

2. Triangles are similar so the ratio that relates them is 6/36=1/6 meaning the side length is 42x1/6=7 cm.

Figure LMNO maps to L'M'N'O' by a 125° rotation about point T.

Quadrilateral L M N O is rotated 125 degrees about point T to form quadrilateral L prime M prime N prime O prime.

Which congruency statement is correct?

LMNO ≅ L'M'N'O'
LMNO ≅ O'M'N'L'
ONML ≅ M'O'N'L'
ONML ≅ O'M'N'L'

Answers

Answer:

A= LMNO ≅ L'M'N'O'

Step-by-step explanation:

just did it trust me

A= LMNO ≅ L'M'N'O'. Hope this helps!!

Solve. Explain your answers in the box below.

a. Travis estimated the product of 602 and 341 to be 1,800. His work is shown below. Find and explain Travis's error.



600×300
6 hundreds × 3 hundreds =18 hundreds

600×300=1,800


b. Margaret said the exact product of 602 and 341 is 205,282. Is she correct? Use paper and the standard algorithm to support your reasoning.

Answers

Answer:

Travis estimated the product of 602 and 341 to be 1,800. His work is shown below. Find and explain Travis's error. 600×300 6 hundreds × 3 hundreds =18 hundreds 600×300=1,800 b. Margaret said the exact product of 602

Step-by-step explanation:

i hoped it was right!

10+10 Chloe answer ​

Answers

Answer:

20

Step-by-step explanation:

24 dollars for 7 books can you give me the rate and unit plz and thank you love

Answers

Answer:

4 dollars per book

Step-by-step explanation:

PLEASE HELP!!!!!
a,b,c,or d?!?!?

Answers

Answer:

A

Step-by-step explanation:

MARK BRAINLIEST

a cow heart beat 325 in 5 minutes. about how many times does a cow's heart beat in 2 minutes?

Answers

Answer:

130

Step-by-step explanation:

You can make a ratio - 325:5, then we can simplify it to 65:1, where we are comparing # of beats in 1 minute. Now, we can just multiply both sides by two, getting us 130:2, which is just 130 beats.

solve

log5(2)+log5(x)-log5(x-1)=log5(3)

Answers

Step-by-step explanation:

log5(2)+log5(x)-log5(x-1)=log5(3)

log5(2x) = log5(3)+log5(x-1)

log5(2x) = log5(3Xx-1)

2x = 3x-3

x= 3

I need help on this

Answers

Answer:

,b j,mbnlvj lcv

Step-by-step explanation:

nb ckhbv m

i just want want points sorry! :)

Mr. Ramirez purchased 25 concert tickets for a total of $245. The concert tickets cost $17 for adults and $12 for children under the age of 12.

Answers

Answer:

Step-by-step explanation: Use the variables “a” for adults and “c” for children.

How do I graph these parabolas

Answers

Key Takeaways
The graph of any quadratic equation y=ax2+bx+c y = a x 2 + b x + c , where a, b, and c are real numbers and a≠0 a ≠ 0 , is called a parabola.
When graphing parabolas, find the vertex and y-intercept. ...
Use the leading coefficient, a, to determine if a parabola opens upward or downward.

Convert 1.05 to a percent.

Answers

Answer:

105%

Step-by-step explanation:

you would just move the decimal 2 places to the right

First convert the decimal fraction to a common fraction then multiply the common fraction by a 100 to convert it to a percentage. See full working in the picture below and don’t forget the brainleast if this was helpful :):)

At the local sandwich shop, employees earn double time for any hours worked in addition to their regular 39-hour
week. Last week, Cooper Jones worked his regular 39 hours plus 9 hours of overtime. Cooper is paid $23.90 per
hour. What is his total pay for the week?

Answers

Answer:

8,030.4

Step-by-step explanation:

Answer:

$287.04

Step-by-step explanation:

add 39 and 9 multiply the sum by $23.90 and then multiply by two and boom, $287.04

Explain how to use the distributive property to find the product (3) ( 4 /1 5 )

Answers

Answer:

Reduce the expression, if possible, by cancelling the common factors.

the answer is 4/5 or 0.8 :)

Step-by-step explanation:

Answer:

Sample Response: Rewrite 3 ( 4  1/5) as 3 ( 4 +  1/5 ). Distribute the 3 to get 3(4) + 3 (1 /5 ) . Multiply to get 12 + 3 /5  . Then add to get 12 3 /5 .

Consider a collection of envelopes consisting of 3 red ​, 3 blue ​, 1 green ​, and 2yellow . If three envelopes are selected at​ random, without​ replacement, determine the probability that at least one envelope is a red envelope.

Answers

Answer:

The probability is 31/35

Step-by-step explanation:

Simplify 3 square root of 512

Answers

Answer:

8

Step-by-step explanation:

not sure if this is what ur looking for sorry

The simplified form of 3√(512) using radical is 48√(2).

To simplify √(512), find the prime factorization of 512.

Prime factorization of 512:

512 = [tex]2^9[/tex]

Now, rewrite the square root as follows:

√(512) = √[tex](2^9)[/tex]

Next, use the property of square roots that states √(a * b) = √(a) * √(b):

√[tex](2^9)[/tex] = √([tex]2^8 * 2)[/tex]

         = √[tex](2^8) * \sqrt(2)[/tex]

Since √[tex](2^8)[/tex] is equal to [tex]2^4[/tex] then

√(512) = [tex]2^4[/tex] * √(2)

Finally, simplify √(2) as it is not a perfect square:

√(512) = [tex]2^4[/tex]* √(2)

          = 16 * √(2)

So, the simplified form is 48√(2).

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What is the vertex of the graph of the function below?
y= x2 - 10x + 21
O A. (5,-4)
B. (3,0)
O C. (5,0)
OD. (3,-4)

Answers

Answer:

Step-by-step explanation:

A. (5,-4)

The vertex of the graph of the function is (5,-4).

The answer is option A.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the vertex of the function y = x² - 10x + 21,

We can use the formula:

x = -b/2a

where a is the coefficient of the x² term, b is the coefficient of the x term, and x is the x-coordinate of the vertex.

In this case,

a = 1 and b = -10, so:

x = -(-10)/(2 x 1) = 5

To find the y-coordinate of the vertex, we can substitute x = 5 into the function:

y = (5)² - 10(5) + 21 = -4

Therefore,

The vertex of the graph of the function is (5,-4).

Learn more about functions here:

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