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3 years ago

John invested $17,500 that

Mathematics

1 answer:

babymother [125]3 years ago

6 0

Answer:

<u>The future value of the investment after 10 years is $ 29,240.53</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Principal = $ 17,500

Interest rate = 5.2% = 0.052 compounded semiannually

Time = 10 years = 20 semesters

2. What is the future value of the investment after 10 years?

Let's use the formula of the Future Value, to calculate it for this investment:

FV = P * (1 + r) ⁿ

Let's replace with the real values:

FV = 17,500 * (1 + 0.052/2)²⁰

FV = 17,500 * 1.670887521

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The expression below is the factorization of what trinomial?(5x + 4)(2x - 5)

Soloha48 [4]

Answer: 10x^2-17x-20

Step-by-step explanation:

8 0

3 years ago

surveyor stands 100 m from the base of a tower on which an antenna stands. He measures the angles of elevation to the top and bo

balu736 [363]

Answer: 36.3m

Step-by-step explanation:

To solve this, we can draw two triangle rectangles, where the distance between the man and the base of the tower is one of the cathetus, the adjacent one, the height will be the opposite cathetus.

The triangle where the elevation angle is 58° is associated with the height of the tower without the aerial

The other triangle, where the elevation angle is 63° is associated with the height of the tower with the aerial.

Then we can calculate those two heights, then compute the difference, and the difference will be equal to the height of the aerial.

In both cases we want to calculate the opposite cathetus, then we should use the relation:

Tan(θ) = (Op. cath)/(Adj. cath)

The height without the aerial is h1, let's find it:

Tan(58°) = h1/100m

Tan(58°)*100m = h1 = 160m.

The height with the aerial is h2, let's find it:

Tan(63°) = h2/100m

Tan(63°)*100m = h2 = 196.3m

Then the height of the aerial will be:

h2 - h1 = 196.3m - 160m = 36.3m

6 0

3 years ago

Gridded Response A basketball team scored 8 points more in its second game

Novay_Z [31]

Answer:

51 points

Step-by-step explanation:

x+x+8+42>150

2x+50>150

2x>100

x>50

So, the least number is 51 which satisfies the inequality

Hope this helps plz hit the crown :D

7 0

2 years ago

A \greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color greenD, 4, space, c, m, times, 6, space, c, m, end color greenD re

gayaneshka [121]

Answer:

356 cm².

Step-by-step explanation:

Step one: The first thing to do here is to Calculate the area of rectangle. The area of the rectangle can be calculated by using the formula below;

Area of rectangle = width × length = 6 × 4 = 24 cm².

Step two: the next step is to calculate the area of the circle. The area of the circle can be calculated by using the formula below;

Area of a circle = (radius)^2 × π.

Area of a circle = (11)^2 × π = 380.13 cm².

Step three: the next thing to do is to calculate the area of the shaded region which is the difference between the Area of a circle and the Area of rectangle.

That is; 380.13 cm² - 24 cm² = 356.13 cm².

6 0

3 years ago

Please help me with this!

Assoli18 [71]

Answer:

___________________________________________________

360 — A

___________________________________________________

Step-by-step explanation:

This is a square based pyramid. Which means that all of the triangles have the same area. All you need to do is find the area of one triangle, multiply it by 4, and add that to the area of the square base.

___________________________________________________

Step 1) FIND THE AREA OF ONE TRIANGLE

Imagine the triangle as a flat 2D shape. The height of this shape would be 13km, that mush is given to us. The length is also given, 10km.

How to find the area of a triangle:

Multiply the height times the width and divide the result by 2.

1. 13 x 10 = 130

2. 130/2 = 65

The area of this triangle is 65km squared.

___________________________________________________

Step 2) MULTIPLY BY 4

65 x 4 = 260

___________________________________________________

Step 3) FIND THE AREA OF THE SQUARE

When you find the area of a square, all you need is the length of one edge. That is 10km in this case.

Multiply this length by itself,

10 x 10 = 100

___________________________________________________

GETTING THE FINAL ANSWER

Add all your results :

260 + 100 = 360

3 0

3 years ago