Bryan decides to invest $800,000 in a period annuity that earns 5.2% APR compounded monthly for a period of 15 years. How much money will Bryan be paid each month?

Answers

Answer 1

Answer:

Bryan be paid $1,742,239.43 each month.

What is Compound Interest?

Compound interest is the adding of interest to the principal sum of a loan or deposit, or interest on interest plus interest.

We have.

P= $800, 000

R= 5.2%

T = 15 years

First, convert R as a percent to r as a decimal

r = R/100

r = 5.2/100

r = 0.052 rate per year,

Then solve the equation for A

A = P(1 + r/ $n)^{nt$

A = 800,000.00(1 + 0.052/12 $)^{(12)(15)$

A = 800,000.00(1 + 0.0043333333333333 $)^{(180)$

A = $1,742,239.43

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Answer 2

Answer:

Answer: the answer is $6410.01 APEX

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An axiom of Geometry says that if _____ points lie in a plane, the _______ containing them also lies in the same plane.

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Two Amtrak trains traveling on parallel tracks leave Tucson at the same time. In 6 hours the faster train is 382 miles from Tucson and the trains are 112 miles apart. Find how fast each train is traveling.

Answers

Answer: the faster train is travelling at 63.7 mph

The slower train is travelling as 45 mph

Step-by-step explanation:

Distance = speed × time

Speed = distance/time

The two trains leave Tucson at the same time. In 6 hours, the faster train is 382 miles from Tucson. This means that the speed at which the faster train is travelling is

382/6 = 63.7mph

In 6 hours, both trains are 112 miles apart. This means that the distance covered by the slower train in 6 hours is

382 - 112 = 270 miles

Therefore, the speed at which the slower train is travelling is

270/6 = 45 mph

What is the distance between -1 and 7 on the number line?

Answers

8 is the difference between -1 and 7 on the number line

Answer: 8

Step-by-step explanation:

Jovan is building a fort in his backyard using a 10-foot board He leans the base of the board 6 feet away from the base of the wall. How high will be bourd be able to reuch up the wall? If necessary round to the nearest tenth.

Answers

That’s a long board because 10 foot is tall

Final answer:

In the scenario, a right triangle is formed with the board, the ground, and the wall. We use the Pythagorean theorem to find the height the board will reach up the wall and get the result as 8 feet.

Explanation:

This is a geometry problem where we need to determine the height the board will reach up the wall. This appears to be a right triangle since the board is leaning against the wall. The length of the board is the hypotenuse (10 feet), and the distance from the wall is one of the legs of the triangle (6 feet).

To find the height the board will reach up the wall, which is the other leg of the triangle, we can use the Pythagorean theorem: a² + b² = c² where a and b are the legs and c is the hypotenuse.

Substitute the given values to the formula: a² + 6² = 10²

Solving this equation gives: a² = 10² - 6²

Then, a² = 64

So, a = √64 = 8

Thus, the height the board will reach up the wall is 8 feet.

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1. Use the figure below to answer the questions. Give the coordinates for the original points and the points after the given transformation is performed on the original coordinate.