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Sophie [7]
4 years ago
7

Last year Anne invested a total of $6,400. She invested part of it in a certificate of deposit that earned 2% interest for the y

ear. The rest of the investment was put into bonds that earned 6% interest for the year. Anne earned 3.75% in interest overall. How much money did Anne put into each type of investment?
Mathematics
1 answer:
zavuch27 [327]4 years ago
3 0
Suppose Anne invested $x in certificate of deposit and $(6400-x) in bonds.
Interest rate earned in certificate deposit will be:
2/100*x=0.02x
Interest earned in bonds will be:
6/100*(6400-x)
=(364-0.06x)
Total amount of interest earned was 3.75%, this is equal to:
3.75/100*6400
=240
hence we conclude that:
0.02x+(364-0.06x)=240
0.02x+364-0.06x=240
0.02x-0.06x=240-364
-0.04x=-124
x=-124/(-0.04)
x=$3100
hence the amount invested in certificate was $3100 and the amount invested in bonds was (6400-3100)=$3300
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Step-by-step explanation:

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6. The total cost of materials to build the foam
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Step-by-step explanation:

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4 0
3 years ago
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 335335 babies were​ born
strojnjashka [21]

Answer:

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Step-by-step explanation:

Confidence Interval for the proportion:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

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99% confidence level

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Multiplying the proportions by 100.

The 99​% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

7 0
4 years ago
Select the vertical asymptote(s) of the function <img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B%28x%2B6%29%28x-1%29%7D%
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=> Option C is correct.

Hope this helps!

:)

4 0
3 years ago
Read 2 more answers
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