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yulyashka [42]
2 years ago
14

11 2/7% to fraction

Mathematics
1 answer:
GREYUIT [131]2 years ago
5 0

11 2/7% ≅ 1128.571 %          

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Dr. Blumen invested $5,000 part of it was invested in bonds at a rate of 6% in the rest was invested in a money market at the ra
abruzzese [7]
So... let's say the amounts invested were "a" at 6% and "b" at 7.5%.

ok.. hmm what's 6% of a? well, (6/100) * a or 0.06a.
what's 7.5% of b? well, (7.5/100) * b or 0.075b.

now... we know, whatever "a" and "b" are, they total the investment of 5000 bucks, thus a + b = 5000

and the interest yielded was 337.50, thus 0.06a + 0.075b = 337.50

thus    \bf \begin{cases}
a+b=5000\implies \boxed{b}=5000-a\\
0.06a+0.075b=337.50\\
----------\\
0.06a+0.075\left( \boxed{5000-a} \right)=337.50
\end{cases}

solve for "a", to see how much was invested at 6%.

what about "b"?  well, b = 5000 - a.
6 0
3 years ago
Read 2 more answers
Probability help!
bagirrra123 [75]

Answer:

90%

Step-by-step explanation:

Since Brandon has a 25% chance of hitting a target, and there is 8 targets, you can take 25% of 8. This will get you an answer of 2. So, in this way Brandon has a 90% chance of hitting at least one target.

7 0
2 years ago
Are AB and CD parallel, perpendicular, or neither?*<br> 1. A(-4, 8), B(4, 10), C(1, 1), D(-2, 13)
ohaa [14]

Answer:

Perpendicular

<em />

Step-by-step explanation:

Given

A = (-4, 8)

B = (4, 10)

C = (1, 1)

D = (-2, 13)

Required

Is AB and CD parallel?

First, we need to calculate the slope (m) of AB and CD

m = \frac{y_2 - y_1}{x_2 - x_1}

For AB:

A (x_1,y_1)= (-4, 8)

B(x_2,y_2) = (4, 10)

So:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{10 - 8}{4 - (-4)}

m = \frac{10 - 8}{4 +4}

m = \frac{2}{8}

m = \frac{1}{4}

For CD:

C(x_1,y_1) = (1, 1)

D(x_2,y_2) = (-2, 13)

So:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{13 - 1}{-2 - 1}

m = \frac{12}{-3}

m = -4

For Lines to be parallel, the slope must be equal:

i.e. m_1 = m_2

This condition is not true because:

\frac{1}{4} \neq -4

For Lines to be perpendicular, the slope must be:

m_1 = -\frac{1}{m_2}

This implies:

\frac{1}{4} = -\frac{1}{-4}

\frac{1}{4} = \frac{-1}{-4}

\frac{1}{4} = \frac{1}{4}

<em>Hence, the lines are perpendicular</em>

6 0
3 years ago
boiling point of water is 212 Fahrenheit Paul wants to boil water to make pasta right now he only has ice which is at a temperat
irinina [24]
He must change it 216 degrees fahrenheit before the water boils. 
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3 years ago
Hi need help?????!!!
Juliette [100K]

D

C

Sorry if both aren't correct, it's been a while since i did this...

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2 years ago
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