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Vlad [161]
3 years ago
6

A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse

. what is Rounding it to the nearest tenth.
Mathematics
1 answer:
balu736 [363]3 years ago
5 0
Pythagorean Theorem .. 2.2^2 + 16.8^2 = c^2
                                         287.08^2 = c^2
                                           16.9  =  c

This is the approximate distance from the boat to the town.
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What is the explicit rule for this geometric sequence?<br> a1=2/3;an=9. An-1
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THE ANSWER IS B BECAUSE I TOOK THIS QUIZ ALREADY

4 0
2 years ago
You saved $20,000.00 and want to diversify your monies. You invest 45% in a Treasury bond for 3 years at 4.35% APR compounded an
Maru [420]

Compound Interest

A total of $20,000 is invested in different assets.

45% is invested in a Treasury bond for 3 years at 4.35 APR compounded annually.

For this investment, the principal is P = 0.45*$20,000 = $9,000.

The compounding period is yearly, thus the interest rate is:

i = 4.35 / 100 = 0.0435

The duration (in periods) is n = 3

Calculate the final value with the formula:

M=P_{}(1+i)^n

Substituting:

\begin{gathered} M=\$9,000_{}(1+0.0435)^3 \\ M=\$9,000\cdot1.136259062875 \\ M=\$10,226.33 \end{gathered}

The second investment is a CD at 3.75% APR for 3 years compounded annually. The parameters for the calculations are as follows:

P = 15% of $20,000 = $3,000

i = 3.75 / 100 = 0.0375

n = 3

Calculating:

\begin{gathered} M=\$3,000_{}(1+0.0375)^3 \\ M=\$3,000\cdot1.116771484375 \\ M=\$3,350.31 \end{gathered}

The third investment is in a stock plan. The initial value of the investment is

P = 20% of $20,000 = $4,000

By the end of the first year, the stock plan increased by 8%, thus its value is:

M1 = $4000 * 1.2 = $4,800

By the end of the second year, the stock plan decreased by 4$, thus the value is:

M2 = $4,800 * 0.96 = $4,608

Finally, the stock plan increases by 6%, resulting in a final balance of:

M3 = $4,608 * 1.06 = $4,884.48

Finally, the last investment is in a savings account at 2.90% APR compounded annually for 3 years (not mentioned, but assumed).

P = $20,000 - $9,000- $3,000 - $4,000 = $4,000

i = 2.90 / 100 = 0.029

n = 3

Calculating:

\begin{gathered} M=\$4,000_{}(1+0.029)^3 \\ M=\$4,000\cdot1.089547389 \\ M=\$4,358.19 \end{gathered}

To summarize, the final balances for each type of investment at the end of the third year are:

Investment 1; $10,226.33

Investment 2: $3,350.31

Investment 3: $4,884.48

Investment 4: $4,358.19

Total balance: $22,819.32

3 0
1 year ago
A band expects to put 16 songs on their next CD. The band writes and records 50​% more songs than they expect to put on the CD.
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Since they expect to put 16 songs, but actually end up putting 50% more, we can do 16 * 150 % which would equal 24 songs that they actually put on their CD.

During the editing process, they removed 75 % of the songs they put on their CD. Since they put 24 songs on their CD, we can do:

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I need help pls help me
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Answer:

D. (2x + 35)° = 47°

Step-by-step explanation:

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Give you: (2x + 35)° = 47°

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Ad libitum [116K]

Answer:

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24 + 6 + 1 = 31

4 0
3 years ago
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