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Paraphin [41]
3 years ago
10

Can someone help please

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0
Hello there! I can help you! The formula for compound interest is P(1 + r)^t, where P= principal (initial amount), r = interest rate (in decimal form), and t = time (in years). Let's do this step by step. First off, we add the rate into 1. 4% is the interest rate (0.04 in decimal form). 1 + 0.04 is 1.04. Now, what we will do is raise that number to the 2nd power, because the time that elapses is 2 years. 1.04² is 1.0816. That's that. Now, multiply 7,500 to find the total amount of money. 1.0816 * 7,500 is 8,112. There. Toby's savings account balance in 2 years is £8,112.

Note: To solve for compound interest questions like it, add 1 to the percentage rate in decimal form, raise that number to a power based on the number of years (for example, raise the number to the 7th power if we are looking for the balance after 7 years), and then multiply that number by the starting amount. After you raise the number by a power, there may be a lot of numbers behind it. Whatever you do, DO NOT delete the number. Keep it there and multiply it by the principal.
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A plane is flying 3900 m above the ground level. The angle of elevation from the control tower to the plane is
Tcecarenko [31]

The horizontal distance to the control tower is approximately 18506.83m

Data;

  • distance from the ground = 3900m
  • angle of elevation = 11.4 degrees
  • horizontal distance = ?

<h3>Trigonometric Ratio</h3>

To solve this problem, we need to use trigonometric ratio SOHCAHTOA.

In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.

tan\theta = \frac{opposite}{adjacent} \\tan11.4 = \frac{3900}{x}\\x = \frac{3900}{tan11.4}\\ x = 18506.83m

The horizontal distance to the control tower is approximately 18506.83m

Learn more on trigonometric ratio here;

brainly.com/question/4326804

3 0
2 years ago
If f(x)=4x and g(x)=2x-1 what is g(f(-2))
azamat
F(-2) = 4x(-2) = -8;
g(f(-1))= g(-8) = 2x(-8) -1 = -16 - 1 = -17.
4 0
3 years ago
Solve the equations 11(x+10)=132
VladimirAG [237]
11(x+10) = 132

Distributive property

11x + 110 = 132

Now isolate the variable. 

11x + 110 = 132
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132 - 110 = 22

11x = 22

11x/11 = 22/11
x= 2

Answer:  x = 2

4 0
3 years ago
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What to know about the lines is the exact point is 0 what you need to know to find that is answer 1,  2 and 3

Step-by-step explanation:

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Which of the following numbers would have 10^3 in its scientific notation?
Monica [59]

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D. 9,700

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