MATHEMATICS HIGH SCHOOL

Solve: 7c^(2)+38c=24 Note: Use a comma to separate multiple solutions. Er

Answers

Answer 1
Answer:

Answer:

c = 4/7, -6.

Step-by-step explanation:

7 c² + 38 c - 24 = 0.

7 × 24 = 7×3×2×2×2 = 42 × 4

42 - 4 = 38.

7 c² + 42 c - 4 c - 24 = 0

7 c (c + 6) - 4 ( c + 6) = 0

(7 c - 4) (c + 6) = 0

c = 4/7 , or -6.

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Name the polar coordinates for the point below.

Answers

Each division in the angle measures 15 degrees and the point is in the second line so it has an angle of 30 degrees. Assuming that the graduation from the origin represents 1 radius unit, then the point is 3 units from the origin. The polar coordinates are
(3, 30°) or (3, π/3)

What is the fifth term of a sequence whose first term is 5 and whose common ratio is 3?A. 243
B. 405
C. 1,215

Answers

The fifth term of a sequence whose first term is 5 and whose common ratio is 3 will be 405. Then the correct option is B.

What is a geometric sequence?

A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The first term is 5 and its common ratio is 3. Then the formula is given as,

aₙ = 5 · (3)ⁿ⁻¹

The fifth term of a sequence will be given as,

a₅ = 5 · (3)⁵⁻¹

a₅ = 5 · (3)⁴

a₅ = 5 · 81

a₅ = 405

The fifth term of a sequence whose first term is 5 and whose common ratio is 3 will be 405. Then the correct option is B.

More about the geometric sequence link is given below.

brainly.com/question/11266123

#SPJ2
a=first term
r=common ratio
n=the term 
a(5)=5*3(5-1)
a(5)=5*81
a(5)=405
The answer is B)

Find the product of 3/8 x 2

Answers

Answer:

3/4 or 0.75

Step-by-step explanation:

To multiply 3/8 by 2, we either divide the denominator by 2, or multiply the numerator by 2

3/8*2=6/8

6/8 can be simplified to 3/4

3/4=0.75 same answer

What is a rule for the pattern 8,6,9,7,10...

Answers

the pattern is subtracting 2 then adding 3

Find the simple interest paid

$4500, 9%, 3.5 years ​

Answers

Step-by-step explanation:

Principle (P) =$4500

Rate(R) =9%

Time(T)=3.5yrs

We know,

SI=P×T×R/100

=4500×3.5×9/100

=$1417.5

Your parents are planning to rent you an apartment when you go to college. The annual contract is $535.00/month with a 2 month penalty for breaking the lease. The month-to-month contract is $615.00/month. What is the difference in the amount paid if you leave after 8 months?

Answers

Answer:
difference in amount = $430

Explanation:
1- Annual contract:
The annual contract means a contract for 12 months. There is a month penalty for breaking the lease. 
This means that, if you left after 8 months, you will have to pay for 10 month.
Total paid = monthly payment * 10
Total paid = 535 * 10 = $5350

2- Month-to-month contract:
You will only paid for the 8 months you stayed,
Total paid = monthly payment * 8
Total paid = 615 * 8 = $4920

3- Getting the difference:
We can note that a month-month contract is a better option if you intend to stay for only 8 months
Difference = 5350 - 4920 = $430

Hope this helps :)
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