MATHEMATICS HIGH SCHOOL

you invest $1,500 today in a bank that gives you a 5 percent annual interest rate, which of these items can you buy in two years?

Answers

Answer 1

Answer: 1500 (1+5%)^2 = $1653.75

Answer 2

Answer:

Answer:1650

Step-by-step explanation:

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Find an ordered pair (x, y) that is a solution to the equation.5x - y = 8
A light private plane can fly 120 mph in still air. Flying against the wind, the plane can fly 320 miles in the same time it requires to fly 640 miles with the wind. Find the rate of the wind. A) 120 mph B) 80 mph C) 40 mph

A painter is painting a wall with an area of 150 ft2. He decides to paint half of the wall and then take a break. After his break, he paints half of the remaining unpainted portion and then takes another break. If he continues to paint half of the remaining unpainted portion between breaks, approximately what portion of the original wall will be painted when he takes his fifth break?112.50 ft2

145.31 ft2

147.66 ft2

290.63 ft2

Answers

The answer is 141.35 ft²

Before the first break, it was painted:
150 ft² ÷ 2 = 75 ft²
Now it's left:
150 ft² - 75 ft² = 75 ft²

Before the second break, it was painted:
75 ft² ÷ 2 = 37.5 ft²
Now it's left:
75 ft² - 37.5 ft² = 37.5 ft²

Before the third break, it was painted:
37.5 ft² ÷ 2 = 18.75 ft²
Now it's left:
37.5 ft² - 18.75 ft² = 18.75 ft²

Before the fourth break, it was painted:
18.75 ft² ÷ 2 = 9.375 ft²
Now it's left:
18.75 ft² - 9.375 ft² = 9.375 ft²

Before the fourth break, it was painted:
9.375 ft² ÷ 2 = 4.6875 ft²
Now it's left:
9.375 ft² - 4.6875 ft² = 4.6875 ft²

Now, we will sum what he painted for now:
75 ft² + 37.5 ft² + 18.75 ft² + 9.375 ft² 4.6875 ft² = 141.3125 ft² ≈ 141.35 ft²

When the painter takes his fifth break, there will be 141.35 ft² of the wall painted.

The painter would have 145.3125 ft^2 painted after the fifth break.

A jeweler has a fixed amount of gold to make bracelets and necklaces. The amount ofgold in each bracelet is 6 grams and the amount of gold in each necklace is 20 grams.
How much gold, in grams, would it take to make 7 bracelets and 9 necklaces? How
much gold, in grams, would it take to make b bracelets and n necklaces?

Answers

Answer:

222

Step-by-step explanation:7x6=42 20x9=180 42+180=222

Round 82290 times 240

Answers

19,749,600 is the correct answer. according to calculator

Which ordered pair is a solution of the equation y = x – 3? (–2, 5) (–5, 2) (2, 5) (5, 2)

Answers

(5,2)

5=x

y=2

5-3=2

hope that helps

The answer is (5, 2).
y = x - 3. (x, y)

THE EXPRESSION (TAN THETA) (CSC THETA) IS EQUAL TO?

Answers

$tan\theta\cdot csc\theta=(sin\theta)/(cos\theta)\cdot(1)/(sin\theta)=(1)/(cos\theta)=sec\theta$

Which quadratic function has its vertex at (-2,7) and opens down?

Answers

$The \ vertex \ form \ of \ the \ function \ is: \n \ny = a(x - h)^2 + k\n \nvertex = \ is \ the point \n \n(h, k) = (-2,7)\n\nh=-2\nk=7$

$y=a(x-(-2))^(2) +7\n\ny=a(x+2)^(2) +7 \n\n opens \ up \ down \ for : \ a < 0 \n For \ instance, \ letting \ a = -1 \ gives \ this \ parabola: \n\ny= -(x+2)^(2) +7$

$The\ vertex\ form:y=a(x-h)^2+k\n\nvertex(h;\ k)\to(-2;\ 7)\n\no pens\ down\ then\ a < 0\n\nAnswer:y=a(x+2)^2+7\ where\ a < 0.$

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