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gogolik [260]
3 years ago
6

Katie earned $54.30 in interest from two accounts. One account Paid 4.1% apr and the other paid 3.2% apr. if she had a total of

$1500 in the two accounts, How much was in each account?
Mathematics
1 answer:
ElenaW [278]3 years ago
6 0
0.032x+0.041 (1500-x)=54.3
Solve for x
0.032x+61.5-0.041x=54.3
0.032x-0.041x=54.3-61.5
-0.009x=-7.2
X=7.2/0.009
X=800 invested at 3.2%

1500-800=700 invested at 4.1%
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VladimirAG [237]
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6 0
3 years ago
A ski gondola carries skiers to the top of a mountain. assume that weights of skiers are normally distributed with a mean of 199
Allushta [10]
A) maximum mean weight of passengers = <span>load limit ÷ number of passengers
</span><span>
maximum mean weight of passengers = 3750 </span>÷ 25 = <span>150lb

</span>B)  First, find the z-score:
z = (value - mean) / stdev
   = (150 - 199) / 41
   = -1.20

We need to find P(z > -1.20) = 1 - P(z < -1.20)

Now, look at a standard normal table to find <span>P(z < -1.20) = 0.11507, therefore:
</span>P(z > -1.20) = 1 - <span>0.11507 = 0.8849

Hence, <span>the probability that the mean weight of 25 randomly selected skiers exceeds 150lb is about 88.5%</span> </span>

C) With only 20 passengers, the new maximum mean weight of passengers = 3750 ÷ 20 = <span>187.5lb

Let's repeat the steps of point B)

z = (187.5 - 199) / 41
   = -0.29

P(z > -0.29) = 1 - P(z < -0.29) = 1 - 0.3859 = 0.6141

</span>Hence, <span>the probability that the mean weight of 20 randomly selected skiers exceeds 187.5lb is about 61.4%

D) The mean weight of skiers is 199lb, therefore:
number</span> of passengers = <span>load limit ÷ <span>mean weight of passengers
                                     = 3750 </span></span><span>÷ 199
                                     = 18.8
The new capacity of 20 skiers is safer than 25 skiers, but we cannot consider it safe enough, since the maximum capacity should be of 18 skiers.</span>
4 0
2 years ago
Convert 9354grams to kilograms
STatiana [176]

Answer:

9.354kg

Step-by-step explanation:

7 0
3 years ago
The Millers plan on retiring soon. When they were first married they purchased 1,000 shares in a mutual fund that was at that ti
Degger [83]

Answer: 6.8%

Step-by-step explanation:

We need to find both percentage so we can determine the increase.

Finding percentage of $10 return: 1% return

Finding percentage of $78 return: 7.8% return

To find the percent increase we do 7.8%-1.0% = 6.8%

7 0
3 years ago
What is p=2(e+w)for e solve for indicated variable?
vagabundo [1.1K]
p=2(e+w) \\ p=2e+2w \ \ \ /-2w \\ p-2w=2e \ \ \ /:2 \\ \dfrac{p-2w}{2} =e \\  \dfrac{1}{2} (p-2w)=e \\  \dfrac{1}{2} p - w=e
7 0
2 years ago
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