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3 years ago

Simplify. Rewrite the expression in the form 5^n

Mathematics

1 answer:

makvit [3.9K]3 years ago

8 0

Answer:

$\frac{5^{-5}}{5^8} = 5^{-13}$

Step-by-step explanation:

Given

$\frac{5^{-5}}{5^8}$

Required

Express as $5^n$

We have:

$\frac{5^{-5}}{5^8}$

Apply second law of indices

$\frac{a^m}{a^n} = a^{m-n}$

So, we have:

$\frac{5^{-5}}{5^8} = 5^{-5-8}$

$\frac{5^{-5}}{5^8} = 5^{-13}$

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Answer:

Step-by-step explanation:

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x=42+5

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A company placed $500,000 in three different investment plans.

Paha777 [63]

Answer:

B. $200,000

Step-by-step explanation:

Let x be the amount placed at 5.5%

3x is the amount placed at 5%

This leaves the rest for the 4.5 % 500000- x - 3x = 500000-4x

Assuming simple interest

I = PRT where I is interest, P is principle, rate is rate and t is time

Interest for the 5.5% for 1 year is

I = x * .055 * 1 = .055x

Interest for the 5.% for 1 year is

I = 3x * .05 * 1 = .15x

Interest for the 4.5% for 1 year is

I = 500000-4x * .045 * 1 = 22500 - 0.18 x

Add the interest together to get the income for 1 year

.055x+ .15x+22500 - 0.18 x=25,000

Combine like terms

0.025x+22500=25000

Subtract 22500

.025x =2500

Divide by .025

x =100000

short term notes is 100000

3*x = 300000 = government bonds

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We want how much more in government bond than utility bond

300000 -100000 = 200000

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3 years ago

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The figure shows eight congruent triangles made by dividing a square that has an area of 64 cm2. What is the area of ABH?

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The answer is C) 8 cm squared.

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Si mide 6x9 cuantas pulgadas serian

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Answer:

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Step-by-step explanation:

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3 years ago

What is 5x+538/23*1000-500=?

Leokris [45]

Answer:

x = (-105300)/23

Step-by-step explanation:

Solve for x:

5 x + 526500/23 = 0

Hint: | Put the fractions in 5 x + 526500/23 over a common denominator.

Put each term in 5 x + 526500/23 over the common denominator 23: 5 x + 526500/23 = (115 x)/23 + 526500/23:

(115 x)/23 + 526500/23 = 0

Hint: | Combine (115 x)/23 + 526500/23 into a single fraction.

(115 x)/23 + 526500/23 = (115 x + 526500)/23:

(115 x + 526500)/23 = 0

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (115 x + 526500)/23 = 0 by 23:

(23 (115 x + 526500))/23 = 23×0

Hint: | Cancel common terms in the numerator and denominator of (23 (115 x + 526500))/23.

(23 (115 x + 526500))/23 = 23/23×(115 x + 526500) = 115 x + 526500:

115 x + 526500 = 23×0

Hint: | Any number times zero is zero.

0×23 = 0:

115 x + 526500 = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 526500 from both sides:

115 x + (526500 - 526500) = -526500

Hint: | Look for the difference of two identical terms.

526500 - 526500 = 0:

115 x = -526500

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 115 x = -526500 by 115:

(115 x)/115 = (-526500)/115

Hint: | Any nonzero number divided by itself is one.

115/115 = 1:

x = (-526500)/115

Hint: | In (-526500)/115, the numbers 526500 in the numerator and 115 in the denominator have gcd greater than one.

The gcd of 526500 and 115 is 5, so (-526500)/115 = (-(5×105300))/(5×23) = 5/5×(-105300)/23 = (-105300)/23:

Answer: x = (-105300)/23

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4 years ago