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Alexxx [7]
2 years ago
12

John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total

number of pages (p) in the novel. Find the total number of pages in the novel.
Mathematics
2 answers:
skelet666 [1.2K]2 years ago
8 0

Answer:

The novel has 117 pages

Step-by-step explanation:

Let  p  be the pages in the novel

p − 3 = 114

p = 117

Anton [14]2 years ago
7 0

Answer:

351

Step-by-step explanation:

114 = p/3 - 3

p/3 = 117

p = 351 page

<h2><em>Please mark me brainliest if this helped you ! (by clicking the little crown on my answer) it helps a lot thnx! (^o^)</em></h2>
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2. Harry just deposited $1500 into a savings account giving 6% interest compounded quarterly.a) How much will be in the account
Studentka2010 [4]

The formula for compound interest is:

\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \text{where,} \\ A=\text{ Final amount} \\ r=\text{ Interest rate} \\ n=\text{ Number of times interest applied per period} \\ t=\text{ Number of time period elapsed} \\ P=\text{ Intial principal balance} \end{gathered}

Given data:

\begin{gathered} P=\text{ \$1500} \\ r=6\text{ \%}=0.06 \\ n=4\text{ times (compounded quarterly)} \end{gathered}

a. After ten years, that is t = 10 years, the amount in the account will be

\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times10} \\ A=\text{ }1500(1+0.015)^{40} \\ A=\text{ }1500(1.015)^{40} \\ A=\text{ \$2721.03} \end{gathered}

b. After twenty years, that is t = 20 years, the amount in the account will be:

\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times20} \\ A=1500(1.015)^{4\times20} \\ A=1500(1.015)^{80} \\ A=\text{ \$}4935.99 \end{gathered}

c. The time it takes for Harry's initial account value to double will be:

\begin{gathered} A=2\text{ x initial value = 2 }\times\text{ \$1500 = \$3000} \\ 3000=1500(1.015)^{4t} \\ (1.015)^{4t}=\frac{3000}{1500} \\ (1.015)^{4t}=2 \\ \text{ Find the logarithm of both sides} \\ \ln (1.015)^{4t}=\ln 2 \\ 4t=\frac{\ln 2}{\ln 1.015} \\ 4t=46.56 \\ t=\frac{46.56}{4}=11.64 \end{gathered}

Therefore, the time it takes Harry's initial account to double is approximately 11 years

8 0
1 year ago
Please help asap <br>Thank you​
vodka [1.7K]

Answer:

k=70

Step-by-step explanation:

two ways to do this

the sum of k+110 has to equal 180, so k=70

52+58+k has to equal 180, so k=70

8 0
3 years ago
Read 2 more answers
A bank charges $3 each time you use an out of network ATM. at the beginning of the month, you have $1500 in your bank account. y
storchak [24]
Answer and workings are in the attachment below.

6 0
3 years ago
Find the common difference of the following sequence.​
Darya [45]

You have the correct answer. It is choice B) -1/4

=======================================================

Explanation:

This is because we're adding -1/4 to each term to get the next one. In other words, we're subtracting 1/4 from each term to get the next one.

  • term2 = term1+(d) = 1/2 + (-1/4) = 1/2 - 1/4 = 2/4 - 1/4 = 1/4
  • term3 = term2+(d) = 1/4 + (-1/4) = 1/4 - 1/4 = 0
  • term4 = term3+(d) = 0 + (-1/4) = 0 - 1/4 = -1/4
  • term5 = term4+(d) = -1/4 + (-1/4) = -2/4 = -1/2

and so on.

----------

To find the common difference, all we have to do is subtract any term from its previous one.

For example:

d = (term2) - (term1)

d = (1/4) - (1/2)

d = (1/4) - (2/4)

d = (1-2)/4

d = -1/4

The order of subtraction matters, so we cannot say d = term1-term2.

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2 years ago
Solve the equation –(–7y - 24)
Rus_ich [418]

-7y+24 is the answer

8 0
3 years ago
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