All categories

2 years ago

PLEASE HELP ASAP!!!

Mathematics

1 answer:

Dafna1 [17]2 years ago

6 0

Answer:

Step-by-step explanation:

Any time you have compounding more than once a year (which is annually), unless we are talking about compounding continuously, you will use the formula

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

Here's what we have:

The amount after a certain time that she has in the bank is 4672.12; that's A(t).

The interest rate in decimal form is .18; that's r.

The number of times the interest compounds is 12; that's n

and the time that the money is invested is 3.5 years; that's t.

Filling all that into the formula:

$4672.12=P(1+\frac{.18}{12})^{(12)(3.5)}$ Simplifying it down a bit:

$4672.12=P(1.015)^{42}$ Raise 1.015 to the 42nd power to get

4672.12 = P(1.868847115) and divide to get P alone:

P = 2500.00

She invested $2500.00 initially.

You might be interested in

What is the following quotient?

seropon [69]

Answer: Choice B) $\frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\$

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

Work Shown:

$\frac{5}{\sqrt{11}-\sqrt{3}}\\\\\\\frac{5(\sqrt{11}+\sqrt{3})}{(\sqrt{11}-\sqrt{3})(\sqrt{11}+\sqrt{3})}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{(\sqrt{11})^2-(\sqrt{3})^2}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{11-3}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\\\$

This shows why choice B is the answer.

---------------

Explanation:

In the second step, I multiplied top and bottom by $(\sqrt{11}+\sqrt{3})$
This is so we can apply the difference of squares rule in step 3. The difference of squares rule is (x-y)(x+y) = x^2-y^2.
In step 4, the square roots cancel out with the squaring operation. The two operations are inverses of one another, which is why they cancel.

So in general, if the denominator is $\sqrt{a}-\sqrt{b}$ and you want to rationalize the denominator, then you should multiply top and bottom by $\sqrt{a}+\sqrt{b}$ . The same applies in reverse as well.

This leads to the denominator becoming $(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}) = (\sqrt{a})^2-(\sqrt{b})^2 = a-b$

Keep in mind that $a \ge 0$ and $b \ge 0$

4 0

2 years ago

Find the sum of the geometric sequence -3,15,-75,375,... when there are 7 terms and select the correct answer below.

vivado [14]

Answer:

-39,063

Step-by-step explanation:

In this geometric, sequence, you are multiplying by -5. So, we can continue the sequence by mulitplying 375(your last value) by -5 and so on, until we have 7 total terms.

Now we add the terms together:

-3+15+-75+375+-1875+9375+-46875

=-3+15-75+375-1875+9375-46875

=-39063

Hope this helps :)

8 0

3 years ago

Ok here is a better pic I need help with it

BartSMP [9]

Answer:

Step-by-step explanation:

First,You have to realize that if you multiply the amount of food by something, you multiply the amount of calories. if some piece of food is 100 calories what happens if you eat 2? you get 2 times that number of calories. Same fi you eat half of one of that kind of food. You get half the amount of calories.

Here he makes 1 1/2 (one and a half) times the amount. Now, if this is confusing you just need to realize that multiplying by this is the same as multiplying by 1+1/2. Say, again, a piece of food is 100 calories. Multiplying it by this would look like the following.

100(1+1/2)

100*1 + 100*1/2

100+50

150

So if you ever have a mixed number like this you could split it up into an addition problem and then distribute hat you're multiplying. Another solution is to multiply by the improper fraction, which here is 3/2, so 100*3/2=150 as well. Let me know if you don't get how to get the improper fraction or how to multiply fractions.

Now, super simple, just multiply the calories by that number.

310(1+1/2) = 310(3/2)

310 + 155 = 930/2

465 = 465

Kinda showed how to multiply by fractions, still if you don't get it let me know.

6 0

3 years ago

What irrational number is between 4.12 and 4.13 A.)sqrt{19} B.)sqrt{23}

fenix001 [56]

Sort{17} which equals 4.123

3 0

2 years ago