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alina1380 [7]
2 years ago
14

F(x) = 1 -3.5x + 0.5, x < 1 ?18 - 2x x > 1​

Mathematics
1 answer:
vitfil [10]2 years ago
6 0

Answer:

65

Step-by-step explanation:

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Convert.<br> 1. 2 mi = yard
monitta

Answer:

2112 yards

Step-by-step explanation:

1.2 mi = 2112 yards

4 0
3 years ago
One eighth of Tony's books are mystery books. He has 3mystery books. How many books does tony have in all?
Anit [1.1K]
If one book = 1/8, then you can just multiply it by 3, for the three mystery books. 8x3= 24, so tony has 24 books in all.
8 0
3 years ago
Read 2 more answers
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
Help me with my math**30 pts** i mark brainiest**
xxMikexx [17]

Answer:

3.vertically opposite angle

4.side of a congruent triangle are equal

5 0
2 years ago
If g(x)=25 and h(x) = 4 – X, what is the value of (g•h)(-3)?
madam [21]

Answer:

175

Step-by-step explanation:

(g*h)(x) is the product of two functions:  g(x) = 25 and h(x) = 4 - x.

This product is equal to 100 - 25x.

Substituting -3 for x, we get

(g•h)(-3) = 100 - 25(-3) = 175

5 0
3 years ago
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