Hayden invested $200 in a savings account that earned 3.3% simple interest each year. William invested $300 in a savings account that earned 2.5% simple interest each year. Neither Hayden nor William add or take out money from their accounts. Hayden claims that she will earn more interest on her account than William after 2 years because she has a greater interest rate. Do you agree with Hayden? Why or why not? Be sure to defend your answer with numbers.

Answer:

2 and 4

Step-by-step explanation:

Step-by-step explanation:

In right angled triangle

Tan = opposite side / adjacent side

Opposite side = 7 inches

Adjacent side = 5 inches

Tan = 7/5

Trigonometric function is the ratio of the different sides of the triangle. The correct value of Tanθ is 7/5.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

We know that the value of the perpendicular height of the cone is 7 inches while the measurement of the base of the triangle is 5 inches, therefore, using Pythagoras theorem the third side of the triangle can be written as,

[tex]\rm(Slant\ Height)^2 = 7^2 + 5^2\\\\(Slant\ Height)^2 =49+25\\\\(Slant\ Height)= 8.6[/tex]

Now, the value of the trigonometric ratios can be written as,

[tex]\rm Sin \theta=\dfrac{7}{8.6}\\\\\\Cos \theta=\dfrac{5}{8.6}\\\\\\Tan \theta=\dfrac{7}{5}\\\\\\Cosec \theta=\dfrac{8.6}{7}\\\\\\Sec \theta=\dfrac{8.6}{5}\\\\\\Cot \theta=\dfrac{5}{7}\\\\\\[/tex]

Hence, the correct value of Tanθ is 7/5.

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Answer: x = 41.4°

Step-by-step explanation:

We want to solve:

Cos(x) = 3/4

Such that this is on quadrant 1.

(if x is in degrees, the possible values of x will be: 0° ≤ x ≤ 90°)

To solve this we need to remember the inverse functions.

If we have two functions f(x) and g(x), these functions are inverses if:

f( g(x) ) = x

g( f(x) ) = x

Then the inverse of the cosine function (this function is "arcos(x)") is such that:

Arcos( cos(x) ) = x

Then in our equation:

Cos(x) = 3/4

We can apply the inverse function to both sides to get:

Arcos(Cos(x)) = Arcos(3/4)

x = Arcos(3/4)

(To find the Arcos function in your calculator, you need to use the button "inv" and then the "cos" button, and remember to have your calculator in deg mode)

x = Arcos(3/4) = 41.4°

Answer:

37

Step-by-step explanation:

3(3)(4)- -1

9(4)- -1

36- -1

36+1

37

Answer:

37

Step-by-step explanation:

Given : a = 3, b = -1, C = 4

3ac - b

= 3(3)(4) - (-1)

= 36 + 1

= 37

Answer:

Step-by-step explanation:

sin(0°) = 0

sin(90°) = 1

The values of sin0 and sin 90 are 0 and 1 respectively

Given the following values of theta

Theta = 0 and 90 degrees

If theta = 0 dgrees

Sin (0) = 0

If theta = 90 degrees

Sin(90) = 1

Hence the values of sin0 and sin 90 are 0 and 1 respectively

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Answer:

x : 3 :: y : -1

9 : 3 :: y : -1

3y = -9

y = -3

Answer:

-34

Explanation:

Y varies directly as x then the equation relating them is

y= kx ⬅️k is the constant of variation

To find k use the condition y= -51 when x=3

k= -17

y= -17x⬅️equation of variation

when x=2, then

y= -17*2=-34

Answer:

1 is the answer (or A)

Step-by-step explanation:

Answer:

<1

Step-by-step explanation:

"A"

Answer:

This net could form a Pyramid

will have 5 faces 5 points and 5 vertices

Step-by-step explanation:

Step-by-step explanation:

14)

30$ a day

y=30*d

15)

[tex]y = \frac{1000}{e} [/tex]

16)

earns $45 per hour and spends $20

y=45* x -20

1/2 and one 2 can be multiplied to 1 so the equation turns to:

2^2+7=4+7=11

Hope this helped if you have any more questions please ask in the comment section.

Answer:

B

Step-by-step explanation:

it would be b cause like when there like  a parentheses beside a number it  means to times so yea. and please mark braonliest

Answer:

1 2 3 ■■■■■■■■■■■■■■■○♤》●♤\♡○●

Answer:

i think its also 123

Step-by-step explanation:

i123

The answer is A. 245 words  can he type in 7 minutes.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Milo types 35 words per minute.

words can he type in 7 minutes is 35*7

                                                      =245

because I have to multiple the amount of words he can type in one minute by 7.

hence, The answer is A. 245 words  can he type in 7 minutes.

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Answer:

Not possiblie

Step-by-step explanation:

I took the test

Answer:

not possible

Step-by-step explanation:

i also took the test ^^

Answer:

y=4x+6

Step-by-step explanation:

You originally have 6 cards, and 4 a week will give you the equation 4x. Put it together to get 4x+6, add y to make it the correct equation. hope this helps

Answer:4

Step-by-step explanation:

It’s 4

Answer:

8*√100-4^2*5=

0

Step-by-step explanation:

Answer:

HERES YOUR ASSIGNMENT! I EDITED IT ON MICROSOFT SO THAT I CAN SCREENSHOT IT AND SEND IT TO YOU...I HOPE IT HELPS :)

Answer:

the 17th term is 51

Step-by-step explanation:

)*+*+*;*

Answer:

9

Step-by-step explanation:

THE ANSWER Is 9

Answer:

The missing side is 9

Step-by-step explanation:

Th use of the pythagorean thereom  

41^2=1681

40^2=1600

1681-1600=81

81 radical thingy = 9

Answer:

9) - 17

11) - 5

13) 30

15) 16

10) - 20

12) - 1

14) 30

16) - 21

1) 16

3) 21

5) - 22

7) - 19

2) 11

4) 7

6) - 9

8) - 6

Step-by-step explanation:

Sorrh I wrote this weirdly I was reading it downwards not sideways but hopefully this helps either way :))

the same 3 angles and three sides

Answer:

3π/2; 3π/4

Step-by-step explanation:

Answer:

Depends on the value of q.

Step-by-step explanation:

3(59+9) + 5q = 3(68) + 5q = 204 + 5q

4(59+6) = 260

The value of the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when the value of q < 11.2

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first number be p = 3(59 + 9) + 5q

Now , the value of a = 204 + 5q

And , let the second number be q = 4(59 + 6)

Now , the value of b = 260

Now , for the value of p and q to be equal ,

Substituting the values in the equation , we get

204 + 5q = 260

Subtracting 204 on both sides of the equation , we get

5q = 56

Divide by 5 on both sides of the equation , we get

q = 11.2

Now , when q < 11.2 , the value of a < b

Hence , the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when q < 11.2

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Answer:

Miles per gallon, or mpg

Step-by-step explanation:

Answer:

the area of square is 2^(8/9) sq. inches.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

The value to 4 to the power of 0 is 4.

Step-by-step explanation:

Since it is to the power to 0, it would be 4^0. This shows that 4 is not being multiplied to anything.

Answer:

my class worked on this today im pretty sure its the first one!! good luck❤❤