Math - Others

Simple & Compound Interest Solutions

Suppose you want to have $500,000 for retirement in 20 years. Your account earns 10% interest. a) How much would you need to deposit in the account each month? b) How much interest will you earn?

Geometry

Coordinate system Solutions

Let I be the line with parametric equations x=-1-3t y = 10-3t z = -5-3t Find the vector equation for a line that passes through the point P=(10, -9, 4) and intersects L at a point that is distance 5 from the point Q= (-1, 10,-5). Note that there are two possible correct answers. Use the square root symbol '' where needed to give an exact value for your answer.

Basic Math Solutions

In September 2016, the cost of gasoline in Berlin was around 1.2 euros per litre What would the equivalent cost be in U.S. dollars per gallon? 1 U.S. dollar ≈ 0.876 euros 1 gallon ≈ 3.785 liters The equivalent cost would be $ _____per gallon.

Algebra

Matrices & Determinants Solutions

Let E = {x, 1}, F = {2x - 1, 2x + 1} be two ordered bases of the set of polynomials, γ(x) with degree 1 or less than 1. (a) Find out the transition matrice SF←E. (b) Find out the transition matrice SF→E.

The equation of the ellipse that has a center at (4,2), a focus at (1, 2), and a vertex at (9, 2), is {(x - C)²}/A² + {(y-D)²} = 1 where A = ____ B = ____ C = ____ D = ____

Heights & Distances Solutions

TV screens are measured on the diagonal. If we have a TV-cabinet that is 58 inches long and 46 inches high, how large a TV could we put in the space (leave 2-inches on all sides for the edging of the TV)? Round your answer to the nearest tenth. The screen can measure up to _____X inches on the diagonal.

3D Geometry Solutions

A gumball has a radius that is 32 mm. The radius of the gumball's spherical hollow core is 28 mm. What is the volume of the gumball if you do not include its hollow core? Answer: ______x mm³

Solution of triangles Solutions

The red vertical line represents the path Dolores walked. How far did Dolores walk before she caught a Pokemon?____yards The blue horizontal line represents the path Marianne walked. How far did Marianne walk before she caught a Pokemon?____yards What is the distance between the spot where Marianne caught a Pokemon and the spot where Dolores caught a Pokemon?_____yards

2D Geometry Solutions

TV screens are measured on the diagonal. If we have a TV-cabinet that is 58 inches long and 46 inches high, how large a TV could we put in the space (leave 2-inches on all sides for the edging of the TV)? Round your answer to the nearest tenth. The screen can measure up to____inches on the diagonal.

A gumball has a radius that is 32 mm. The radius of the gumball's spherical hollow core is 28 mm. What is the volume of the gumball if you do not include its hollow core? Answer:____mm³

sara is flying her kite and it gets stuck in a tree. She knows the string on her kite is 15 feet long and she is 7 feet from the tree. How long of a ladder (in feet) will she need to get her kite out of the tree? She will need a ladder that is_____feet long.

Find the perimeter and area of the right triangle shown below x,17cm,13,cm Perimeter = Area =

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