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Karolina [17]
3 years ago
8

The rein family needs to have 35,000 available in 18 years when their son is ready for college if they have decided to invest in

a mutual fund that compounds interest continuously at 5.2%
Mathematics
1 answer:
devlian [24]3 years ago
6 0

Answer:

$14053.51

Step-by-step explanation:

Since the money is to compound continuously,

Amount at Compound Interest=P(1+r)ⁿ

Amount=$35,000

r=5.2%=0.052

n=18 years

Substituting in the above formula

35000=P(1+0.052)¹⁸

35000=P(1.052)¹⁸

We divide both sides by (1.052)¹⁸ to solve for P.

P=35000÷(1.052)¹⁸

=$14053.51

The Rein Family needs to invest $14053.51 now in order to reach their goal.

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Six Pepperidge Farm bagels were weighed, yielding the following data (grams):
ratelena [41]

Answer:

A) Average weight = 112.97

standard deviation = 3.913

B) 119.4069

Step-by-step explanation:

A) Estimate the true average weight and standard deviation of the weight

attached below is a detailed solution

Average weight = 112.97

standard deviation = 3.913

B) Assuming a normal distribution Estimate the weight below

attached below is a detailed solution

= 119.4069

6 0
3 years ago
A circle passes through points A(7,4), B(10,6), C(12,3). Show that AC must be the diameter of the circle.
Artist 52 [7]

so we have three points, A, B and C, if indeed AC is the diameter of the circle, then half the distance of AC is its radius, and the midpoint of AC is the center of the circle, morever, since B is also on the circle, the distance from B to the center must be the same radius distance.

in short, half the distance of AC must be equals to the distance of B to the midpoint of AC, if indeed AC is the diameter.

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now, let's check the distance from say A to the center, and check the distance of B to the center, if it's indeed the center, they'll be the same and thus AC its diameter.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AM=\sqrt{\left( \frac{19}{2}-7 \right)^2+\left( \frac{7}{2}-4 \right)^2} \\\\\\ AM=\sqrt{\left( \frac{5}{2}\right)^2+\left( -\frac{1}{2} \right)^2}\implies \boxed{AM\approx 2.549509756796392} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}}) \\\\\\ BM=\sqrt{\left( \frac{19}{2}-10 \right)^2+\left( \frac{7}{2}-6 \right)^2} \\\\\\ BM=\sqrt{\left( -\frac{1}{2}\right)^2+\left( -\frac{5}{2} \right)^2}\implies \boxed{BM\approx 2.549509756796392}

6 0
3 years ago
Find the interest due on $950 at 13% for 120 days.
exis [7]
950  x 13 /100 x 120/365 = $ 40.60. Hope that's helpful.


7 0
3 years ago
Read 2 more answers
Can someone tell me the answer
Blizzard [7]
See the photo attached for the answers

7 0
3 years ago
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alekssr [168]

Answer:

hope this will help you...

Step-by-step explanation:

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7 0
2 years ago
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