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Rufina [12.5K]
3 years ago
13

1/4-5/8n is equivalent to p(2-5n)​

Mathematics
2 answers:
jolli1 [7]3 years ago
7 0

Answer:

1/4 - 5/8n = p (2-5n)

a_sh-v [17]3 years ago
5 0

Hey there!

The answer is \frac{-3}{8}n=2p-5np

Since they are equivalent to each other, we will set them equal to each other, because equivalent means equal to.

\frac{1}{4}n-\frac{5}{8}n = p(2-5n)

Now, we will simplify it. First, we will simplify the left side by subtracting. To do this, we can make \frac{1}{4} into \frac{2}{8}. That gives us:

\frac{-3}{8}n=p(2-5n)

Now, we'll simplify the right side by distributing p:

\frac{-3}{8}n=2p-5np

Have a super awesome day! :)

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table C represents a linear function.

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Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is current
exis [7]

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

6 0
2 years ago
Triangle X Y Z is shown. Angle X Y Z is 51 degrees and angle Y Z X is 76 degrees. The length of X Z is 2.6, the length of X Y is
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Answer:

3.2 units

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3 years ago
The perimeter of a rectangular garden is 40 it. The length is 2 ft more than the width. Find the length and the width of the gar
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Answer: Length = 11

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Step-by-step explanation:

Let x represent the unknown length.

Let x - 2 represent the unknown width.

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Equation:

2 (x + (x - 2)) = 40

x + (x - 2) = 40/2

x + x - 2 = 20

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2x -2 + 2 = 20 + 2

The length is: 2x = 22 -> x = 22/2 -> x = 11

The width is: x - 2 = 9

5 0
3 years ago
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