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ICE Princess25 [194]
3 years ago
15

Solve for the following equation step by step and justify your steps when using an exponential property.

Mathematics
1 answer:
Flura [38]3 years ago
8 0
(7^x)^4 is equal to 7^(4x).

7^2 * 7^3 is equal to 7^(2+3) which is equal to 7^5.

7^5 / 7^(3x) is equal to 7^(5 - 3x).

you wind up with 7^(4x) is equal to 7^(5 - 3x)

this is true if and only if 4x = 5 - 3x.
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Lucy borrowed $425 from Colleen. Colleen charges Lucy 5.3% interest if Lucy pays Colleen back in 3 years how much does she pay C
Sonja [21]

Answer: Lucy pays $ 492.58  back altogether.

Step-by-step explanation:

Formula : Interest = Principal x Rate x Time

Given: Principal  = $425  , rate = 5.3% = 0.053 , time = 3 years

Interest = 425 x 0.053 x 3 ≈ $ 67.58

Total amount need to pay back = Principal + Interest

= $ (425+67.58)

= $ 492.58

Hence, Lucy pays $ 492.58  back altogether.

7 0
3 years ago
Pls help if u can 6thgrade math
motikmotik

Answer:

Greatest number: 9

Least number: 2

Range: 7

Step-by-step explanation:

From smallest to largest, the numbers are: 2, 3, 6, 8, 9. The largest (greatest) is 9 and the least (smallest) is 2. The range is 9-2=7.

7 0
3 years ago
What is the solution for the equation?<br> a+8/3=2/3
Readme [11.4K]
A+8/3 = 2/3
Or, (3a+8)/3 = 2/3 [taking LCM]
Or, 3a+8 = 2 [3 in both denominators are cancelled]
Or, 3a = 2-8
Or, a = -6/3
.•. a = -2,,
3 0
3 years ago
Can any one answer this correctly?
MakcuM [25]

Answer:

A

Step-by-step explanation:

The Y-intercept is -3.

The gradient is -3/4 since it goes down 3 every 4 tiles.

7 0
2 years ago
Read 2 more answers
Wendall designs a tower with a height in feet that can be represented by the function T(x) = 9(x + 6.9), where x is the height o
Vinil7 [7]

Answer:

G(T(x)) = 27(x + 6.9)

Step-by-step explanation:

Given

T(x) = 9(x + 6.9)

G(x) = 3x

Required [Missing from the question]

G(T(x))

We have:

G(x) = 3x

This implies that:

G(T(x)) = 3(T(x))

Substitute: T(x) = 9(x + 6.9)

G(T(x)) = 3[9(x + 6.9)]

Open bracket

G(T(x)) = 27(x + 6.9)

6 0
3 years ago
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