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Natasha2012 [34]
3 years ago
6

Simplify -7(-4p+1) + 2p

Mathematics
1 answer:
mariarad [96]3 years ago
8 0

Step-by-step explanation:

-7(-4p+1) + 2p

-7 x -4 = 28p

-7 x 1 = -7

28p + 2p = 30p

so

30p-7

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How many solutions does the following equation have? (5 points) |6x + 12| = −18 No solution One solution Two solutions Infinitel
erastovalidia [21]
No solutions. the answer to an absolute value equation like this one only produced positive numbers, not negative
4 0
3 years ago
Suppose yoko borrows $3500 at an interest rate of 4% compounded each year Find the amount owed at the end of 1 year
olchik [2.2K]

Amount owed at the end of 1 year is 3640

<h3><u>Solution:</u></h3>

Given that yoko borrows $3500.

Rate of interest charged is 4% compounded each year

Need to determine amount owed at the end of 1 year.

In our case :

Borrowed Amount that is principal P = $3500

Rate of interest r = 4%

Duration = 1 year and as it is compounded yearly, number of times interest calculated in 1 year n = 1

<em><u>Formula for Amount of compounded yearly is as follows:</u></em>

A=p\left(1+\frac{r}{100}\right)^{n}

Where "p" is the principal

"r" is the rate of interest

"n" is the number of years

Substituting the values in above formula we get

\mathrm{A}=3500\left(1+\frac{4}{100}\right)^{1}

\begin{array}{l}{A=\frac{3500 \times 104}{100}} \\\\ {A=35 \times 104} \\\\ {A=3640}\end{array}

Hence amount owed at the end of 1 year is 3640

5 0
3 years ago
Q5: The probability that event A occurs is 5/7 and the probability that event B occurs is 2/3 . If A and B are independent event
bekas [8.4K]

Answer:

P(A \cap B)

And we can use the following formula:

P(A \cap B)= P(A)* P(B)

And replacing the info we got:

P(A \cap B) = \frac{5}{7} \frac{2}{3}= \frac{10}{21}=0.476

Step-by-step explanation:

We define two events for this case A and B. And we know the probability for each individual event given by the problem:

p(A) = \frac{5}{7}

p(B) = \frac{2}{3}

And we want to find the probability that A and B both occurs if A and B are independent events, who menas the following conditions:

P(A|B) = P(A)

P(B|A) = P(B)

And for this special case we want to find this probability:

P(A \cap B)

And we can use the following formula:

P(A \cap B)= P(A)* P(B)

And replacing the info we got:

P(A \cap B) = \frac{5}{7} \frac{2}{3}= \frac{10}{21}=0.476

7 0
3 years ago
Two semicircles are attached to the sides of a rectangle as shown.
NeTakaya

Answer:

  • 157 in²

Step-by-step explanation:

The area of the shape is the sum of three sections

<u>1. Rectangle</u>

  • A = 5*14 = 70 in²

<u>2. Bigger semicircle</u>

  • A = 1/2π(14/2)² = 76.96 ≈ 77 in² (rounded)

<u>3. Smaller semicircle</u>

  • A = 1/2π(5/2)² = 9.8174 ≈ 10 in² (rounded)

<u>Total area:</u>

  • 70 + 77 + 10 = 157 in²
4 0
3 years ago
Read 2 more answers
Plz help!plzzzzzzzzz
Alexxandr [17]

Answer:

Use quickmath.com

or

You can use photo math to get the answer

3 0
2 years ago
Read 2 more answers
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