MATHEMATICS HIGH SCHOOL

How long is 63 months in years?

Answers

Answer 1

Answer:

The time-duration "63-months" in years can be expressed as 5.25 years.

To determine the length of 63 months in years, we divide 63 by the number of months in a year, which is 12.

Dividing 63 by 12 yields a quotient of 5 with a remainder of 3.

This means that 63 months is equivalent to 5 years and 3 months.

To express it completely in years, we consider the fraction of the year represented by the remaining 3 months.

Since there are 12 months in a year, 3 months is equivalent to 3/12 which 1/4 of a year = 0.25 year.

Therefore, 63 months is approximately 5.25 years.

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Answer 2

Answer: Five years and three months.

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Lamar's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 34 sodas in all, 17 of which were regular. What percentage of the sodas were regular? A. 25% B. 35% C. 50% D. 75%

Answers

Answer: C 50%

Step-by-step explanation: 17 is half of 34

A student has a business selling snowballs during the summer. For each snowball the student sells, they makes a profit of $1.50. On the hottest day of the summer, the student sold 125 snowballs and made a profit of $187.50.Choose a model (equation) in point-slope form {y−y1=m(x−x1)} to represent the profit the student makes, y, based on the number of snowballs sold, x.

y−125=1.5(x−187.5) A

y+187.5=1.5(x+125) B

y−187.5=1.5(x−125) C

y+125=1.5(x+187.5) D

Answers

Answer:

Step-by-step explanation:

When Frederick was born, his grandparents gave him a gift of 2000, which was invested at an interest rate of 5% per year, compounded yearly. How much money will Frederick have when he collects the money at the age of 18? Give your answer to the nearest hundredth of a dollar.

Answers

Answer:

Frederick collects the an amount of $4813.24 at the age of 18 out of which $2000 was the beginning amount.

Step-by-step explanation:

We are given the following information in the question:

Amount = 2000

Interest rate = 5%

The money is compounded annually or yearly.

Time = 18 years

Compound interest =

$A = P\bigg(1+\displaystyle(r)/(n)\bigg)^(nt)$

where P is the principal amount, r is the interest rate, t is the time in years and n is the number of compounding in a year.

Since, the money is compounded yearly we put n = 1.

Putting all the values, we get,

$A = P\bigg(1+\displaystyle(r)/(n)\bigg)^(nt)\n\nA = 2000\bigg(1+(5)/(100)\bigg)^(18)\n\nA = 4813.24\n\n\text{Interest, I} = \text{Amount - Principal} = A - P\n\nI = 4813.24 - 2000 = 2813.24$

Thus, Frederick collects the an amount of $4813.24 at the age of 18 out of which $2000 was the beginning amount.

Answer:

$4813.24

Step-by-step explanation:

Five percent growth corresponds to multiplication by 1+5%=1.05. So, the amount of money Frederick will have in 18 years is 2000(1+.05)^18= $4813.24

Waht is the value of ((2/3)^0)^-3

Answers

Answer:

$\left(\left((2)/(3)\right)^0\right)^(-3)=1$

Step-by-step explanation:

$\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^(bc),\:\quad \:a\ge 0\n\left(\left((2)/(3)\right)^0\right)^(-3)=\left((2)/(3)\right)^(0\cdot \left(-3\right))\n=\left((2)/(3)\right)^0\n=1$

Red

Holly has watched 39% of a movie that is 122 minutes long. Which is the best estimate for the number of minutes of the movie that Holly has watched? 36 minutes 39 minutes 48 minutes 52 minute

Answers

Answer:

48 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:48

Two batches of soup will serve 8 people. Lonnie needs to make enough soup for 120 people. If the recipe calls for 2 onions for one batch, how many onions will Lonnie need?

Answers

"2 batches of soup will serve    8 people."
Then x batches of soup will serve 120 people
120.2 = 8.x
x = 30 batches of soup will serve 120 people.

"2 onions for    1 batch"
Then y onions for 30 batches
30.2 = 1.y
y = 60 onions

2 batches - 8 people
2 onions - 1 batch
x onions- 120 people
From proportion
y batches-120 people
2batches - 8 people
after cross multiplication
120/8=15*2=30 batches
x onions - 30 batches
2 onions- 1 batches
30 batches *2=60 onions

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