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Misha Larkins [42]
3 years ago
11

Write the equation for the word problem and solve. You bought a magazine for $5 and four erasers. You spent a total of $25. How

much did each eraser cost?​
Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0

Answer: each eraser cost 5 dollors                

Step-by-step explanation: Simplifying

25 = 5 + 4e

Solving

25 = 5 + 4e

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-4e' to each side of the equation.

25 + -4e = 5 + 4e + -4e

Combine like terms: 4e + -4e = 0

25 + -4e = 5 + 0

25 + -4e = 5

Add '-25' to each side of the equation.

25 + -25 + -4e = 5 + -25

Combine like terms: 25 + -25 = 0

0 + -4e = 5 + -25

-4e = 5 + -25

Combine like terms: 5 + -25 = -20

-4e = -20

Divide each side by '-4'.

e = 5

Simplifying

e = 5

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How do I work it out step by step y^2+5y+6
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3 years ago
Please help with 11c!?
Contact [7]

Answer:

"To the nearest year, it would be about 9 years"

Step-by-step explanation:

11c)

This is compound growth problem. It goes by the formula:

F=P(1+r)^t

Where

F is the future amount

P is the present (initial) amount

r is the rate of growth, in decimal

t is the time in years

Given,

P = 20,000

r = 8% = 8/100 = 0.08

F = double of initial amount = 2 * 20,000 = 40,000

We need to find t:

F=P(1+r)^t\\40,000=20,000(1+0.08)^t\\2=(1.08)^t

To solve exponentials, we can take Natural Log (Ln) of both sides:

2=(1.08)^t\\Ln(2)=Ln((1.08)^t)

Using the rule shown below we can simplify and solve:

Ln(a^b)=bLn(a)

We can write:

Ln(2)=Ln((1.08)^t)\\Ln(2)=tLn(1.08)\\t=\frac{Ln(2)}{Ln(1.08)}\\t=9.0064

To the nearest year, that would be about 9 years

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3 years ago
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