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Paha777 [63]
3 years ago
12

At the beginning of every year, Molly deposits $200 in a savings account that offers an interest rate of 20%, compounded annuall

y. The total amount that Molly will have in her account at the end of 3 years is
Mathematics
2 answers:
matrenka [14]3 years ago
8 0
<span>The total amount of money that Molly will have after depositing a certain amount with interest that is compounded annually is calculated through the equation,
                F = P x (1 + i)^n
Substituting the known values from the given above,
             F = ($200)(1 + 0.20)^3
              F = $345.6
 Therefore, the answer to this item is $345.6.</span>
andrew-mc [135]3 years ago
7 0

Answer:

$873.60

Step-by-step explanation:

it was correct for plato

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P and q are complex numbers such that |p|=7√2 and |p+q|=12√3 .
gayaneshka [121]

Answer:

Option B is correct

Step-by-step explanation:

Given: \left | p \right |=7\sqrt{2}\,,\,\left | p+q \right |=12\sqrt{3}

To find: interval on which \left | q \right | must fall

Solution:

\left | p \right |=7\sqrt{2}\\-7\sqrt{2}\leq p\leq 7\sqrt{2}\,\,(i)

\left | p+q \right |=12\sqrt{3}\\-12\sqrt{3}\leq p+q\leq 12\sqrt{3}\,\,(ii)

Subtract (ii) from (i)

-12\sqrt{3}+7\sqrt{2}\leq p+q-p\leq 12\sqrt{3}-7\sqrt{2}\\-12\sqrt{3}+7\sqrt{2}\leq q\leq 12\sqrt{3}-7\sqrt{2}\\\left | q \right |=12\sqrt{3}-7\sqrt{2}

So, \left | q \right | must fall in interval [12\sqrt{3}-7\sqrt{2},\infty)

Therefore, option B is correct.

8 0
3 years ago
Write a formula for r in terms of 0 based on the image below.
Marina86 [1]

<u>Given</u>:

The arc length for the given sector is 7π

The central angle for the given sector is θ

The radius of the circle is r.

We need to determine the formula for r in terms of θ

<u>Formula for r:</u>

The formula for r in terms of θ can be determined using the arc length formula,

S=r \theta

Substituting the values, we have;

7 \pi =r \theta

Dividing both sides by θ, we get;

\frac{7 \pi}{\theta}=r

Thus, the formula for r in terms of θ is \frac{7 \pi}{\theta}

7 0
3 years ago
There are 1,440 minutes in a day. On average, what percent of the day did those in the United States approximately spend watchin
antoniya [11.8K]

Answer:

20%

Step-by-step explanation:

282/1440=.195

round up to 20%

8 0
3 years ago
Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 4000/ 3 * π in 3. One day, her sink clogged.
givi [52]

Answer:

Part a) 119 cups

Part b) 30 cups

Step-by-step explanation:

Part a)

step 1

Find the volume of the conical cup with a diameter of 4 in. and a height of 8 in

The volume of the cone (cup) is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=4/2=2\ in ----> the radius is half the diameter

h=8\ in

assume

\pi =3.14

substitute

V=\frac{1}{3}(3.14)(2^{2})8=33.49\ in^3

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

so

\frac{4,000}{33.49}= 119\ cups

Part b)

step 1

Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in

The volume of the cone (cup) is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=8/2=4\ in ----> the radius is half the diameter

h=8\ in

assume

\pi =3.14

substitute

V=\frac{1}{3}(3.14)(4^{2})8=133.97\ in^3

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

so

\frac{4,000}{133.97}= 30\ cups

7 0
3 years ago
4 log x = 4<br><br> What’s The Answer To This ?
Zolol [24]

Answer:

8

Step-by-step explanation:

6 0
4 years ago
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