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serious [3.7K]
2 years ago
11

Solve the exponential equation by the method of relating the​ bases, first rewriting the equation in the form

Mathematics
1 answer:
Nookie1986 [14]2 years ago
6 0

Answer:

  x = 1/3

Step-by-step explanation:

Both bases can be written as powers of 6.

  36^x = (1/6)^(x-1) . . . . . . given

  (6^2)^x = (6^-1)^(x -1) . . . . . bases as powers of 6

  6^(2x) = 6^(-x+1) . . . . . . . . . simplify exponents

  2x = -x +1 . . . . . . . . . . . . . . . .equate exponents of the same base

  3x = 1 . . . . . . . add x

  x = 1/3 . . . . . divide by 3

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Find the amount A accumulated after investing $4800 for 17 years at an interest rate 6.2% compounded quarterly.​
Nostrana [21]

Answer:

A = $13,660.81

Step-by-step explanation:

P (principal) = $4,800.00

I (interest) = $8,860.81

First, convert R as a percent to r as a decimal

r = R/100

r = 6.2/100

r = 0.062 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 4,800.00(1 + 0.062/4)(4)(17)

A = 4,800.00(1 + 0.0155)(68)

A = $13,660.81

8 0
3 years ago
Can someone give me answers pls asap
GuDViN [60]

Answer:

answers are:

1) 1.75

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6 0
3 years ago
a craft store retailer is using a discount rate of %40 on Christmas scrapbook items if a package of scrapbook paper cost 15.59 w
tester [92]
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6 0
3 years ago
If l=3, w= 3, and h= 5, what is the volume of this box​
ArbitrLikvidat [17]

Answer and Step-by-step explanation:

To find the volume, we multiply the length by the width by the height for a rectangular prism (aka the box).

length = l = 3

width = w = 3

height = h = 5

Now, we multiply each together.

3 × 3 × 5

9 × 5

45

<u>The volume of the box is 45.</u>

<u></u>

<u></u>

<u><em>#teamtrees #PAW (Plant And Water)</em></u>

6 0
3 years ago
Read 2 more answers
What does 1/2(4-14y)=y+50 equal
schepotkina [342]

Step-by-step explanation:

1/2(4-14y)=y+50

1/(8 - 28y) = y + 50

8y - 400 - 28y² +

Now you can solve

3 0
3 years ago
Read 2 more answers
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