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3 years ago

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Debbie is n years old. Shawn is twice as old as Debbie and Edna is 3 years older than Debbie. The expression n + 2n + n + 3 give

s the sum of their ages. Simplify the expression by combining like terms.

1 answer:

ohaa [14]3 years ago

8 0

Answer:

4n + 3

Step-by-step explanation:

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Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until

alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

<u>Month 0</u> (first payment)

$250

Month 1

$250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})$

<u>Month 2</u>

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)$

<u>Month 3</u>

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)$

<u>Month 24 (2 years)</u>

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})$

The sum

$1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}$

is the sum of the first 24 terms of a geometric sequence with common ratio $\frac{12.04}{12}$ which is

$\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071$

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

6 0

3 years ago

Please help me with number 7

Wittaler [7]

"twelve decreased by twice a number" ---> 12 - 2x

"8 times the sum of number and 4" ---> 8(x + 4)

12 - 2x = 8(x + 4)

12 - 2x = 8x + 32 (distributive property)

12 = 10x + 32 (add 2x to both sides)

-20 = 10x (subtract 32 from both sides)

x = -2 (divide both sides by 10)

That's answer.

4 0

3 years ago

If you take a number, times by 5 then add 7. You get the same as if you took the number, times by 9 then add 3. What is the numb

Scorpion4ik [409]

Answer:

5_7=2 9_3=6. 5+7=12 9+3=12

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A single microvillus is a rod-like structure that is 1.0 μm in height. It has a hemispherical top approximately 0.1 μm in diamet

gregori [183]

Answer:

so, the figure here is a cylinder with a semi sphere on the top, we know the height of whole structure, and the radius of the semi sphere, which is the same as the radius of the cylinder (you can see it because the radius of the semisphere is constant, and you can thin on it as half a sphere over a cylinder).

First, the cylinder will be the structure without the semi sphere, so his height will be te total height minus the radius of the semi sphere, which is 0.9μm.

so now we know the height and the radius of the cylinder, the surface or the sides of it is 2*3.14*r*h = 2*3.14*0.9μm*0.1μm = 0.5662 $μm^{2}$ .

3 0

3 years ago

Please help me with this

Galina-37 [17]

1 1/8 square feet

1 4/5 • 1 5/8 = 9/8
9/8 reduces to 1 1/8

I hope this helps you :)

3 0

2 years ago