if $6700is invested at 4.6%interest compounded semiannually how much will the investment be worth in 15 years?

Answers

Answer 1

Answer: $4.6\%\ \ annually\ \ \rightarrow\ \ 2.3\%\ \ semiannually \nsemiannually \ \ \ \ \rightarrow\ \ 30\ times\ the\ interest\ capitalization\n\nSum=\$6700\cdot(1+ (2.3)/(100) )^(30)=\$6700\cdot1.023^(30)\approx\$13253.90$

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Jay traveled from Miami to Jacksonville, a distance of 320 miles. He left Miami at 8:00am, stopped for lunch for 30 minutes, and stopped for two 15 minute breaks at rest areas. He arrived in Jacksonville at 2:15pm. What was his average rate of speed during his travel time? Please explain the steps to get the answer. Thanks!

Answers

To find the “Average Rate of Speed", we know we need the Total Distance and the Total Time. The Total Distance is 320 miles and the Total Time is 14:15 - 8:00 = 6:15 hours = 6.25 hours .So the Average Rate = 320 miles/ 6.25 hours = 51.20 mph.

What is the distance between points M and H? Round to the nearest tenth of a unit. units Two points on a coordinate grid. Point Ms coordinates are negative two, five. Point Hs coordinates are six, zero.

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I graphed the points and I observed that it can form a right triangle. The distance required is the hypotenuse of the right triangle.

long leg is from -2 to 6 value of the x line. Its measure is 8.
short leg is form 0 to 5 value of the y line. Its measure is 5.

We will use the Pythagorean theorem to get the hypotenuse or distance of two points.

a² + b² = c²
8² + 5² = c²
64 + 25 = c²
89 = c²
√89 = √c²
9.43 = c

The distance of the two points, M and H, is 9.43

The radio station KORK is a conducting a telephone survey. The survey is conducted by selecting 4 pages at random from the telephone book and then interviewing every person on each of the selected pages. This is an example of which of the following sampling techniques?

Answers

Check your definitions of each. A random page sample selection is used, but then a 100% sample is taken of each random page selected. I remember Queen for a Day, which was one of many such shows. Either people got bored of misery or the misery was contrived.

The perimeter of a square is 24 cm. what is the length of the diagonal

Answers

A square is equal on all 4 sides and in this problem all sides are equal to 6. Therefore you have an isosceles right triangle with two sides of six making the Hypotenuse 6*the square root of two.
( the rule for an isosceles right triangle is the two legs are equal to X and the Hypotenuse is equal to X* the square root of 2

Which mathematical term cannot be defined for all cases in a system of geometry?parallel lines
midpoint of a line segment
distance along an arc
diameter of a circle
*more than one answer*

Answers

The mathematical terms that cannot be defined for all cases in a system of geometry are the parallel lines and midpoint of a line segment. A line is an infinite series of points in a row and it does not occupy any space. They are also called one dimensional since the direction is in one dimension. A point has a location but no specific size. It can describe a location but you can never determine its actual size. Imagine the point at the end of the previous sentence. And then imagine it getting smaller and smaller until it disappears. We can only use a dot to represent the point.

Answer:

1. parallel lines

2. midpoint of a line segment

Step-by-step explanation:

The mathematical terms that cannot be defined for all cases in a system of geometry are:

1. parallel lines and

2. midpoint of a line segment.

A parallel line cannot be defined as lines do not occupy any space. It is a straight one-dimensional figure with no thickness and it extends infinitely in both directions.

The points also do not have any dimensions like length, area, volume, etc.

Josie rode her bike 18 miles at 12 and then rode another 24 miles at 15. How long did she ride in all?

A.27 hours

B.15 hours

C.6 hours

D.3.1 hours

Answers

18/12= 1.5
24/15= 1.6
1.6+1.5=3.1
I think D is your answer

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