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Illusion [34]
3 years ago
13

In 2000, the cost of tuition at a UC school was $3200. The tuition has increased by about 8% every year. How much can you expect

to pay for tuition in 2020?
Mathematics
1 answer:
miss Akunina [59]3 years ago
3 0

Answer:

$51, 200

Step-by-step explanation:

First is to find the increase of tuition

$3,200 × .8 = $2560

then subtract the year.

2020-2000=20

lastly multiply the year and the increase of tuition to know the final answer

$2560 × 20 = $51,200

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Select the common ratio and the 4th term of the geometric series: 9, -6,4...
Blababa [14]

The given geometric sequence has the common ratio, <u>r = -2/3</u>, and the value of the 4th term, <u>a₄ = -8/3</u>.

A geometric sequence is a special series where every term is the product of the previous term and a common ratio.

The first term of a geometric sequence is represented as a, the common ratio as r, and the n-th term as aₙ, which is calculated as, aₙ = a.rⁿ⁻¹.

In the question, we are asked to find the common ratio and the 4th term of the geometric sequence, 9, -6, 4, ........

The first term of the sequence, a = 9.

The second term of the sequence, a₂ = -6.

By the formula of the n-th term, aₙ = a.rⁿ⁻¹, we can show that:

a₂ = a.r²⁻¹.

Substituting the values, we get:

-6 = 9(r²⁻¹),

or, r²⁻¹ = -6/9,

or, r = -2/3.

Thus, the common ratio of the given geometric sequence is <u>-2/3</u>.

The 4th term can be calculated using the formula of the n-th term, aₙ = a.rⁿ⁻¹ as:

a₄ = a.r⁴⁻¹ = a.r³.

Substituting the values, we get:

a₄ = 9(-2/3)³,

or, a₄ = 9.(-8/27),

or, a₄ = -8/3.

Thus, the 4th term of the given geometric sequence is <u>-8/3</u>.

Learn more about a geometric sequence at

brainly.com/question/24643676

#SPJ1

3 0
2 years ago
Which graph is a translation of f(x) = x2 , according the rule:
bixtya [17]
For this case we have the following original function:
 f (x) = x ^ 2&#10;
 We apply the following transformation:
 Vertical displacements:
 Assume k> 0
 To graph f (x) - k, move the graph k units down.
 Applying the transformation for k = 5 we have:
 y = x ^ 2 - 5&#10;
 Therefore, the graph moves 5 units down.
 Answer:
 
Third graph
8 0
3 years ago
What is the measure of angle X?<br><br> Enter your answer in the box.<br><br> M
slava [35]

Answer:

x = 47

Step-by-step explanation:

Every triangle's interior angles add up to 180°.

Let's make an equation.

x + 102 + 31 = 180

x + 133         = 180

x                   = 47

8 0
3 years ago
Read 2 more answers
Answer 7+3(2g-6)=-29
Aleks [24]

Answer:

g = -3

Step-by-step explanation:

Distribute the 3

7+(6g-18)=-29

Simplify

6g - 11 = -29

Add 11 to both sides

6g = -18

Divide by 6 on both sides

g= -3

7 0
3 years ago
Read 2 more answers
Find the value of x. Round the nearest tenth
zimovet [89]

Answer:

x ≈ 30.7

Step-by-step explanation:

Reference angle = 61°

Opposite side length = x

Adjacent side length = 17

Applying the trigonometric function TOA, we have:

Tan 61 = opp/adj

Tan 61 = x/17

17 × Tan 61 = x

x ≈ 30.7

4 0
3 years ago
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