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Lyrx [107]
2 years ago
10

The cost to mail a letter is a base charge of $0.42 plus $0.17 for each ounce. Write an equation that could be used to find how

many ounces a letter that costs $0.93 weighs. (Let x represent the number of ounces.) A) 0.59 x = 0.93 B) 0.42 x + 0.17 = 0.93 C) 0.59 = 0.93 x D) 0.42 + 0.17 x = 0.93
Mathematics
1 answer:
tresset_1 [31]2 years ago
3 0

Answer:

D) 0.42 + 0.17 x = 0.93

Step-by-step explanation:

0.93 - 0.42 = 0.51

0.51 / 0.17 = 3

3 ounces and the answer is D

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Which algebraic expression is equivalent to the expression below?
Anarel [89]

Answer:

A. 4x²+20x+25

Step-by-step explanation:

Because of PEMDAS, you calculate the value inside of the parenthesis first, so you expand [2x+1-(4x+6)]:

2x+1-4x-6 = -2x-5.

Then apply the exponent:

(-2x-5)² = (-2x-5)(-2x-5) = 4x²+10x+10x+25 = 4x²+20x+25

4 0
3 years ago
Read 2 more answers
On 1st January 2020, Laurie invests P dollars in an account that pays a nominal annual interest rate of 5.5%, compounded quarter
andrezito [222]

Answer:

1) The common ratio =  1.055

2) The year in which the amount of money in Laurie's account will become double is the year 2032

Step-by-step explanation:

1) The given information are;

The date Laurie made the investment = 1st, January, 2020

The annual interest rate of the investment = 5.5%

Type of interest rate = Compound interest

Therefore, we have;

The value, amount, of the investment after a given number of year, given as follows;

Amount in her account = a, a × (1 + i), a × (1 + i)², a × (1 + i)³, a × (1 + i)ⁿ

Which is in the form of the sum of a geometric progression, Sₙ given as follows;

Sₙ = a + a × r + a × r² + a × r³ + ... + a × rⁿ

Where;

n = The number of years

Therefore, the common ratio = 1 + i = r = 1 + 0.055 = 1.055

The common ratio =  1.055

2) When the money doubles, we have;

2·a = a × rⁿ = a × 1.055ⁿ

2·a = a × 1.055ⁿ

2·a/a = 2 = 1.055ⁿ

2 = 1.055ⁿ

Taking log of both sides gives;

㏒2 = ㏒(1.055ⁿ) = n × ㏒(1.055)

㏒2 = n × ㏒(1.055)

n = ㏒2/(㏒(1.055)) ≈ 12.95

The number of years it will take for the amount of money in Laurie's account to double = n = 12.95 years

Therefore, the year in which the amount of money in Laurie's account will become double = 2020 + 12..95 = 2032.95 which is the year 2032

The year in which the amount of money in Laurie's account will become double = year 2032.

3 0
3 years ago
John gave away some money. He has $12.00 left. If m represents the money he gave away, which expression represents the money he
makvit [3.9K]

Answer:

the answer would be d

Step-by-step explanation:

you have to divide $12.00 by the amount of money or m

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2 years ago
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among
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Answer:

Step-by-step explanation:

Each child received two pieces.

So total   pieces received by 4 children = 4*2 = 8

Total pieces = 10 + 8 = 18

3 0
2 years ago
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