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sergejj [24]
3 years ago
13

At The Last Book Store, 4 books cost $28. How many books could you buy for $49?

Mathematics
1 answer:
Mila [183]3 years ago
3 0
7

You divide 28 by 4 and get 7. Then you divide 49 by whatever you get.
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You have $5600. The best interest rate you can find is 3%
EleoNora [17]

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

A = P(1 + \frac{r}{n})^{nt}

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

\frac{A}{P} = (1 + \frac{r}{n})^{nt}

Taking logs on both sides

log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}

This gives

log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72

t = 72/4 = 18 years

4 0
2 years ago
Malia tried to prove that cos(0) =sin(90°-0) using the following diagram. her proof is not correct
larisa86 [58]

Answer:

Can you show a picture of the diagram?

4 0
3 years ago
toni bought an old bike for 50$. She fixed it up and sold it for $80. What percent of the original value was toni’s sale price
ikadub [295]
For this case what you must do is the following rule of three:
 50 ---> 100
 80 ----> x
 We clear x:
 x = (80/50) * (100)
 x = 160%
 160-100 = 60%
 Answer:
 toni added 60% of the original value for his sale price
3 0
3 years ago
Mario and Luigi want to purchase some extra controllers for their friends. Each controller costs $29.99. Use an algebraic expres
love history [14]

Answer:

C = 299x + 59.99y + 29.99z

Step-by-step explanation:

An algebraic expression is an expression in which it involves the numbers like 1,2,3 also it includes the operations such as additions, subtraction, multiplication, etc

Fo mentioning an algebraic expression, we do have following components

x = number of consoles purchased

y = number of games purchased

z = number of controllers purchased

C = total cost

Also, the total cost would be equivalent to the sum of the price and then it multiplied with the numbers as stated above

So, the algebraic expression is

C = 299x + 59.99y + 29.99z

3 0
3 years ago
Amanda composed 2 songs. The longer song is 126 seconds less than twice the length of the short song. The longer song lasts 286
xxMikexx [17]

LongSong = 286s

LongSong = 2 * ShortSong - 126s

=>

2 * ShortSong - 126s = 286s

2 * ShortSong = 286s + 126s

2 * ShortSong = 412s

ShortSong = 206s

5 0
3 years ago
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