Convert the equation –9x2 + 25y2 – 100 – 125 = O into standard form.

A sum of money is placed at simple interest for 3 years at 10% annum and then the amount is invested for 3 years at the same rat

fgiga [73]

Answer:

Initial principal -$300,000

Investment amount after yr 3-$390,000

Final investment amount, after 6 yrs-$519,090

Step-by-step explanation:

Let X be the amount initially invested.

#The amount after 3 yrs of simple interest is calculated as:

$I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X$

#The amount after 5 yrs is calculated by compounding the amount after 3 yrs for 2 yrs at 10%:

$A=P(1+i)^2\\\\471900=1.3X(1.1)^2\\\\471900=1.573X\\\\X=300000$

Hence, the amount initially invested as $300,000

#Amount of invested after 6 yrs is therefore:

$A=P(1+i)^n\\\\=471900\times1.1\\\\=519090$

Hence, the total amount of the investment after 6 yrs is $519,090

#Substitute X in simple interest equation to find amount after 3 yrs of simple interest:

$I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X\\\\=1.3\times 300000\\\\=390000$

Hence, the total amount of the investment after first 3 yrs is $390,000

3 0

4 years ago

jake said he has 8/100 of a dollar in his pocket Margie said that the decimal for 8/100 is 0.8 what error did she make. what is

lukranit [14]

The 8 is in the tenths place it would look like 8/10 .8 its .08 for 8/100

4 0

3 years ago

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The standard equation of a circle with center (h.k) and radius r is (% - hy * (y - Ky = p. Which

zlopas [31]

Answer:

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3 0

4 years ago

Expand 5a(3a-2b). Thank you!

Thepotemich [5.8K]

Answer:

15 a^2 + -10 a b

Step-by-step explanation:

Expand the following:

5 a (-2 b + 3 a)

Hint: | Distribute 5 a over -2 b + 3 a.

5 a (-2 b + 3 a) = 5 a (-2 b) + 5 a (3 a):

-2 5 a b + 5 3 a a

Hint: | Combine products of like terms.

5 a×3 a = 5 a^2×3:

5×3 a^2 - 2×5 a b

Hint: | Multiply 5 and 3 together.

5×3 = 15:

15 a^2 - 2×5 a b

Hint: | Multiply 5 and -2 together.

5 (-2) = -10:

Answer: 15 a^2 + -10 a b

6 0

4 years ago

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I will give 92 points if correct!

pav-90 [236]

Answer:

Number 2

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers