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yanalaym [24]
3 years ago
6

If Amelia would like to double her money in twelve years, how much interest does she need to earn? 6 percent 12 percent 10 perce

nt 16.6 percent
Mathematics
1 answer:
sveticcg [70]3 years ago
4 0
We can assign the value "2x" as the amount of money that Amelia which to achieve in twelve years.
So, his initial money is X.
We can try each percent to test if it could double the amount in 12 years.
x+0.06*12years*x=1.72X
x+0.12*12*x=1.44x
x+0.1*12*x=2.2x
x+0.166*12*x=2.992x

Therefore, the answer is 10 percent.
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Solve the equation 4 sin (x +30°) = 2<br>for 0 &lt; x &lt; 365​
tatuchka [14]

>

4 \sin(x + 30)  = 2 \\  \sin(x + 30 ) =  \frac{2}{4}   \\  \sin(x + 30)  =  \frac{1}{2}  \\  \sin(x + 30)  =  \sin(30)  \\ x + 30 = 30 \\ x = 30 - 30 \\ x = 0

Hence, x = 0°, 180° and 360° <em><u>Ans</u></em>

3 0
3 years ago
I'll give more points here is what I need.
Serga [27]

Answer:

The answer to your question is x = 3; y = 3

Step-by-step explanation:

Data

angle = 45°

Opposite side = x

Adjacent side = y

hypotenuse = 3√2

To solve this problem, use trigonometric functions.

1) To find x, use the trigonometric function sine.

              sin Ф = Opposite side / hypotenuse

-Solve for Opposite side (x)

              Opposite side = hypotenuse x sin Ф

-Substitution

              Opposite side = 3√2 sin 45

-Simplification

               Opposite side = 3√2 (1 / √2)

               Opposite side = 3(1)

-Result  

               x = 3

2) To find y use the trigonometric function cosine

               cos Ф = Adjacent side / hypotenuse

-Solve for Adjacent side

                Adjacent side = hypotenuse x cos Ф

-Substitution

                Adjacent side = 3√2 x cos 45

-Simplification

                Adjacent side = 3√2 x (1/√2)

                Adjacent side = 3(1)

-Result

                y = 3

5 0
3 years ago
The range for the given domain of the function f(x)=3x-6/x+4.5 is
mash [69]
Hello,

We can not divide by 0.

==> x+4.5≠0
==>x≠-4.5

dom f=R\{4.5}
4 0
3 years ago
A company has found that the relationship between the price p and the demand x for a particular product is given approximately b
ollegr [7]
We know that the profit from an item is the sale price minus the cost price. Thus,
1269 - 0.2x² - 830 - 398x
P(x) = -0.2x² - 398x + 439
Local maxima are located at the points where the first derivative of a function are 0
P'(x) = -0.4x - 398
398 = -0.4x
x = -995
There is only one maximum so the average value is -995
7 0
3 years ago
40lb is what percent of 75 lb
andreev551 [17]

Answer:

i got 53.3%

Step-by-step explanation:

The formula is

is over of = what the percent is over 100

4 0
3 years ago
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