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3 years ago

-5 (p+2)=2 (2p-15)+p

1 answer:

6 0

$-5 (p+2)=2 (2p-15)+p$

$-5p-10=4p-30+p

$ $\text{Expand}$

$-5p-10=5p-30
$

$-10=5p-30+5p
$ $\text{Add 5p to both sides}$

$-10=10p-30

$

$-10+30=10p
$ $\text{Add 30 to both sides}$

$20=10p
$

$\dfrac{20}{10}=p$ $\text{Divide both sides by 10}$

$p=2$ $\text{Solution}$

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michelle invested $10000 in an account that earns 8.5% interest that is compounded monthly. Determine the amount of interest ear

Semmy [17]

Answer:

$25,626.53

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

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

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 8.5% into a decimal:

8.5% -> $\frac{8.5}{100}$ -> 0.085

Now lets plug in the values into the equation:

$A=10,000(1+\frac{0.085}{12})^{12(15)}$

$A=35,626.53$

Lastly, subtract the total from the initial balance:

$35,626.53 - 10,000 = 25,626.53$

Michelle earned $25,626.53 in interest.

7 0

3 years ago

Find the measure of angle x

Nikitich [7]

x = 90 - 28

x = 62°

The answer is choice B.

4 0

4 years ago

Read 2 more answers

What is the value of x? Enter your answer in the box.

lubasha [3.4K]

Notice that based on the diagram, all of the sides of the triangle are the same length. (The dashes on the sides of the triangle show that the sides are of congruence.) This means that the triangle is an equilateral triangle. An important thing to note about equilateral triangles is that they all have angles of 60°. All angles in equivalent triangles are 60°.

This means that we can set $7x - 3$ equal to 60 to solve for $x$ :