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irina1246 [14]
3 years ago
5

If John invests the $1,000 he receives today at an interest rate of 4.8% compounded monthly, in one year the investment will be

worth how much?
When John receives $1,000 a year from now, the $1,000 he invested today will be worth how much more than the $1,000 he receives in the future?
Mathematics
1 answer:
seropon [69]3 years ago
5 0
First you have to do 12x1200 then the answer is 9999
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My answer is 8, but I'm not completely sure, if I'm wrong could someone please explain how to find the length.
Verdich [7]

By knowing that S is bisected by the line shown, we will conclude that PD = 8

So here we know that PC = 8, we also can see that:

  • PCS is a right triangle
  • PDS is a right triangle.

Notice that because the blue line bisects S, the angle at "S" on both of these right triangles is the same, and because both of these are right triangles, both must have a 90° angle.

Finally, if two angles are equal, then the 3 angles must be equal between these two triangles.

And notice that both of these triangles share one side, then:

Triangles we know for sure that triangles PCS and PDS have the same angles and one equal side.

This implies that the triangles are congruent, thus, the <u>measures of the corresponding sides must be the same.</u>

<u />

Then the length of the shorter side of both triangles must be the same, in triangle PCS the short leg measures 8 units, then in triangle PDS the short leg, PD, also must measure 8 units.

So you are correct.

If you want to learn more about congruent triangles, you can read:

brainly.com/question/12077512

8 0
2 years ago
Simplify square root of -13
tino4ka555 [31]

Answer:

\sqrt{13i}

Step-by-step explanation:

Theoretically, there is not square root of neither 13 nor a negative number so the special symbol is used to represent the square root of a number.

8 0
2 years ago
For each of the following determine a unit rate using the information given. Show the division that leads to your answer. Use ap
dimulka [17.4K]

Answer:

Step-by-step explanation:

cool

7 0
3 years ago
A random sample of 31 charge sales showed a sample standard deviation of $50. a 90% confidence interval estimate of the populati
Marysya12 [62]
The 100(1-\alpha)\% confidence interval of a standard deviation is given by:

\sqrt{ \frac{(n-1)s^2}{\chi^2_{1- \frac{\alpha}{2} } }} \leq\sigma\leq\sqrt{ \frac{(n-1)s^2}{\chi^2_{\frac{\alpha}{2} } }}

Given a sample size of 31 charge sales, the degree of freedom is 30 and for 90% confidence interval, 

\chi^2_{1- \frac{\alpha}{2} }=43.773 \\  \\ \chi^2_{\frac{\alpha}{2} }=18.493

Therefore, the 90% confidence interval for the standard deviation is given by

\sqrt{ \frac{(31-1)50^2}{43.773 }} \leq\sigma\leq\sqrt{ \frac{(31-1)50^2}{18.493 }} \\  \\ \Rightarrow\sqrt{ \frac{(30)2500}{43.773 }} \leq\sigma\leq\sqrt{ \frac{(30)2500}{18.493 }} \\  \\ \Rightarrow\sqrt{ \frac{75000}{43.773 }} \leq\sigma\leq\sqrt{ \frac{75000}{18.493 }} \\  \\ \Rightarrow \sqrt{1713.38} \leq\sigma\leq \sqrt{4055.59}  \\  \\ \Rightarrow41.4\leq\sigma\leq63.7
3 0
3 years ago
A right triangle has legs measuring 18 in. and 26 in.
creativ13 [48]
Do sqrt(18^2)+26^2)). It should give you the answer.

8 0
2 years ago
Read 2 more answers
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