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3241004551 [841]
3 years ago
14

13.6% complete This is a Single Choice Question; skip ahead to question content A B C D E Confirm Difficulty Level: Moderate Som

e students are going to Dallas on a school trip. The distance from their school to Dallas is 200 miles. The driver of the van carrying the students is told to allow 1 hour more than the time it would take to travel the 200 miles at 60 mph. About how much time should the driver allow for this trip to Dallas?
Mathematics
1 answer:
Veronika [31]3 years ago
8 0

Answer

about 4 hours and 20 minutes

Step-by-step explanation:

200 divided by 60 is 3.33 or 3 hours and 20 minutes, plus the extra hour

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Katy invests a total of $26,500 in two accounts paying 4% and 9% annual interest, respectively. How much was invested in each ac
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A = amount invested at 4%.

b = amount invested at 9%.

we know the total amount invested was $26500, thus a + b = 26500.

whatever% of anything is just (whatever/100) * anything.

how much is 4% of a?  well, is just (4/100) * a, or 0.04a.

how much is 9% of b?  well, is just (9/100) * b, or 0.09b.

we know the interest yielded for both amounts adds up to $1510, thus 0.04a + 0.09b = 1510.

\bf \begin{cases}
a+b=26500\implies \boxed{b}=26500-a\\
0.04a+0.09b=1510\\
----------------\\
0.04a+0.09\left( \boxed{26500-a} \right)=1510
\end{cases}
\\\\\\
0.04-0.09a+2385=1510\implies -0.05a=-875
\\\\\\
a=\cfrac{-875}{-0.05}\implies a=17500

how much was invested at 9%?  well, b = 26500 - a.
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