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3 years ago

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Jamal earns earns a year-end bonus of $32500 and puts it in 3 one-year investments that that pay $1579.50 in simple interest. Pa

rt is invested at 3%, part at 4%, and part at 6%. There is $9750 more invested at 6% than at 3%.
A. Create a system of equations that represents this ratio.

B. Find the amount invested at each rate.

1 answer:

DedPeter [7]3 years ago

6 0

Answer:

Fjjfhfuf

Step-by-step explanation:

Ffifuuf

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Triangle AOC intersects a circle with center O. side AO is 10 inches and the diameter of the circle is 12 inches. What is the le

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Answer:

$AC=8inches$

Step-by-step explanation:

It is given that triangle AOC intersects a circle with center O, side AO is 10 inches and the diameter of the circle is 12 inches, thus

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Now, From ΔAOC, using the Pythagoras theorem, we get

$(OA)^{2}=(OC)^{2}+(AC)^{2}$

⇒ $(10)^{2}=(6)^2+(AC)^2$

⇒ $100=36+(AC)^2$

⇒ $64=(AC)^2$

⇒ $AC=8inches$

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Lelechka [254]

1.   C = ⁵/₉F - 32
9C = 9(⁵/₉F - 32)
  9C = 9(⁵/₉F) - 9(32)
  9C = 5F - 288
- 5F - 5F
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- 9C   - 9C
-5F = -9C - 288
-5 -5
F = 1⁴/₅C + 57.6

2. $H = w + \frac{50}{m^{2}}$
   $m^{2}(H) = m^{2}(\frac{50}{m^{2}})$
   $Hm^{2} = 50$
   $\frac{Hm^{2}}{H} = \frac{50}{H}$
   $m^{2} = \frac{50}{H}$
   $\sqrt{m^{2}} = \sqrt{\frac{50}{H}}$
   $m = \frac{\sqrt{50}}{\sqrt{H}}$
   $m = \frac{5\sqrt{2}}{\sqrt{H}}$
   $m = \frac{5\sqrt{2}}{\sqrt{H}} * \frac{\sqrt{H}}{\sqrt{H}}$
   $m = \frac{5\sqrt{2H}}{H}$

3. A = 5 + 4√x
- 5 - 5
  A - 5 = 4√x
  (A - 5)² = (4√x)²
  A² - 10A + 25 = 16x
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¹/₆A² - ⁵/₈A + 1⁹/₁₆ = x

4. $A = \frac{b + c}{b}$
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   $b(A - 1) = c$
   $\frac{b(A - 1)}{A - 1} = \frac{c}{A - 1}$
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3 years ago