MATHEMATICS HIGH SCHOOL

Jade invested $13,500 at 5.2% interest, compounded semiannually, and she wants to know how much her investment will be worth in 8 years
Part 1: What is the periodic interest rate of jade investment
Part 2:  How many compounding periods does jades investment offer in a year? how about in 8 years?

Answers

Answer 1
Answer: Part 1: What is the periodic interest rate of jade investment?

Each compounding period is done semi-annually, which means twice a year. Since the given interest rate is annual, then 5.2% divided by half should yield the period interest rate, which is 2.6%

Part 2: How many compounding periods does Jade's investment offer in a year? how about in 8 years?

In 1 year, there are 2 compounding periods. In 2 years, there are 16 compounding periods.
Answer 2
Answer:

Answer:

Part 3: What expression can Jade write to figure out how much her investment will be worth in 8 years?   F = $13,500.00 * (1 + .052/2) ^ (2*8)

Part 4: How much will Jade's investment be worth in 8 years?  $20,355.96

Step-by-step explanation:

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Suppose that x and y are real numbers, and x^2 + y^2 = 4. Find all ordered pairs (x, y) that satisfy this equation. A) (2, 0) B) (0, 2) C) (-2, 0) D) (0, -2)

Answers

Answer:

All of them satisfy the equation.

Step-by-step explanation:

x^2 + y^2 = 4

2^2 + 0^2 = 4 True

0^2 + -2^2 = 4 True

-2^2 + 0^2 = 4 True

0^2 + -2^2 = 4 True

Jacob wants to make a graph to show the relationship between temperatures in Fahrenheit and degrees Celsius. He plots the following points:(11, −11.7), (15, −9.4), (25, −3.9), (35, 1.7), (45, 7.2)

He uses the following steps to plot the graph:


1.Label origin as (0, 0).
2.On x-axis, label Temperature in Fahrenheit.
3. On y-axis, label Temperature in degrees Celsius.
4.The scale on x-axis starts from 0 and goes up to 700 at intervals of 20.
5.The scale on the y-axis starts from −12 and goes up to 12 at intervals of 2.

Which of the following best describes the graph?

It will not be spread out horizontally across the entire coordinate plane because in Step 4, Jacob selected an incorrect scale on the x-axis.

It will not be spread out vertically across the entire coordinate plane because in Step 5, Jacob selected an incorrect scale on the y-axis.

It will not be spread out horizontally across the entire coordinate plane because in Step 2, Jacob plotted Fahrenheit instead of Celsius on the x-axis.

It will not be spread out vertically across the entire coordinate plane because in Step 3, Jacob plotted Celsius instead of Fahrenheit on the y-axis.

Answers

Answer: It will not be spread out horizontally across the entire coordinate plane because in Step 2, Jacob plotted Fahrenheit instead of Celsius on the x-axis.

Jacob confused the values, the first coordinate of the ordered pairs (which corresponds to the x-axis) is in Celsius and he used it as Farenheit.

Find the sum of 8 and 492

Answers

Come on this is really easy..500
8 + 492= 500. This is so because just adding 8 ones into 492 ones is 500.

Sabr buys a magazine and a pizza. She spends $9.75. The pizza costs twice as much as the magazine. How much does the pizza cost?​

Answers

Answer:

  • The magazine costs $3.25
  • The pizza costs $6.50

Explanation:

Let's say the magazine costs \tt{\$x}. Since the pizza costs twice as much as the magazine, the pizza costs \tt{\$2x}.

Now we know that the total cost of the magazine and pizza is $9.75. So, the equation becomes:

  • \LARGE \boxed{\tt{x + 2x = 9.75}}

Combining like terms, we get:

  • \large \boxed{ \tt{3x = 9.75}}

To solve for \tt{x}, we divide both sides of the equation by 3:

  • \large \boxed{\tt{x = 3.25}}

Therefore, the pizza costs:

  • \huge \boxed{\tt{2x = 2(3.25) = 6.50}}

Learn more about Algebra here:

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Answer:

pizza costs = $3.25

Step-by-step explanation:

let the cost of pizza = $x

let the cost of magazine = $y

according to the question:

x + y = 9.75              (1)

y = 2x                       (2)

by substituting the value of y from equation (2) into equation (1)

x + 2x = 9.75

3x = 9.75

x = 9.75/3 = 3.25

thus, cost of pizza = $3.25

Verify
(2cos2x)/(sin2x) - cotx - tanx = -2tanx

Answers

Remember:

\boxed{sin(2x)=2.sinx.cosx}\n \n and\n \n \boxed{cos(2x)=cos^2x-sin^2x}


(2cos2x)/(sin2x)-cotx-tanx=\n \n (2(cos^2x-sin^2x))/(2sinx.cosx)-(cosx)/(sinx)-(sinx)/(cosx)=\n \n (cos^2x-sin^2x)/(sinx.cosx)-(cosx)/(sinx)-(sinx)/(cosx)=\n \n (cos^2x-sin^2x-cos^2x-sin^2x)/(sinx.cosx)=\n \n (-2sin^2x)/(sinx.cosx)=\n \n (-2sinx)/(cosx)=-2.tanx

Ronnie wants to buya computer table that measures 10 feet by 17 feet.The cost of the table is $16 per square foot.How much will it cost Ronnie to buy the computer table for his study?

Answers

find how many square feet it is
assumng the table is a rectangle
area=legnth times width
area=10 times 17=170

16 per 1 square foot
16 imes 170=2720

answer is $2720
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