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vaieri [72.5K]
3 years ago
7

The recursive rule for a sequence and one of the specific terms is given. Find the position of the given

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0

Answer:

6th term

Step-by-step explanation

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*Eight is added to three times a number 'x' gives 15".​
torisob [31]

Answer:

x+8 =15

x=15-8

x=7 .

this is the answer

8 0
3 years ago
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SHOW WORK 10 POINTS!
Anarel [89]

Answer: 57x 38= 2166.  71x38= 2698.      31x25= 775            75x47= 3525        63x59=3717

Step-by-step explanation:

7 0
2 years ago
NO LINKS!!! Kim invested $5000 in Mutual fund at 6% compounded quarterly. Write an equation to represent this situation. When wi
Ira Lisetskai [31]

Answer:

Equation is  A = 5000(1.015)^(4t)

Her investment will be worth $10,000 in about <u>11.63888 years</u>

Rounding up to the nearest whole number gets to <u>12 years</u>

==========================================================

Explanation:

Part 1) Finding the equation

The compound interest formula is

A = P(1+r/n)^(n*t)

Here are the variables

  • A = final amount
  • P = starting amount, or deposit, or principal
  • r = interest rate in decimal form
  • n = number of times money is compounded per year
  • t = number of years

In this case,

  • P = 5000
  • r = 0.06 from the 6% annual interest
  • n = 4 times a year is the compounding frequency
  • t = unknown amount of time

Therefore, the equation is

A = P(1+r/n)^(n*t)

A = 5000(1+0.06/4)^(4t)

A = 5000(1.015)^(4t)

The decimal value is exact.

--------------------------

Part 2) Let's plug in A = 10,000 and solve for t.

You'll need to use logarithms to isolate the exponent.

A = 5000(1.015)^(4t)

10,000 = 5000(1.015)^(4t)

10,000/5000 = (1.015)^(4t)

2 = (1.015)^(4t)

Log[ 2 ] = Log[ (1.015)^(4t) ]

Log(2) = 4t*Log( 1.015 )

4t = Log(2)/Log(1.015)

4t = 46.5555256308062

t = 46.5555256308062/4

t = 11.6388814077015

t = 11.63888

It takes about 11.63888 years for the investment to reach $10,000.

Therefore, at the 12 year mark is when the investment is more than $10,000.

7 0
1 year ago
Read 2 more answers
5/8 divided 2 1/2 simply
Ksenya-84 [330]

Answer:

1/4

Step-by-step explanation:

Turn 2 1/2 into an improper fraction

5/2

Flip 5/2 to 2/5

Multiply 5/8 by 2/5

The answer is 10/40

Simplify

1/4

Hope this helped :)

5 0
2 years ago
Please please help me​
svetlana [45]

Answer:

  • here is the equation :  y= 3x+10
  • table: o miles would be $10, 5 miles would be $25, 10 miles would be $40.

Step-by-step explanation:

for the second part you can use the equation above and substitute the value of x in the equation to find y.

explanation: 3 dollars per mile so 5 miles costs 15 dollars but since there is a flat fee of 10 dollars it would total to 25 dollars.

3 0
3 years ago
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