An initial investment grows at an annual interest rate of 5% compounded continuously. How long will it take to double the investment?
A.) 1 year
B.)13.86
C.)14.86
D.)13.40
E.)14.40

Answer:

19200

brainliest if correct

Explanation

12% of 120,000 = 14400

14400x7 = 100800

120,000 - 100800 = 19200

Answer:

A B C are all correct yuhh

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.

2.

3.

Answer:

good choice in vehicle!

Step-by-step explanation:

Answer:

3/29

Step-by-step explanation:

Step-by-step explanation:

ahsjsjsjajajajjahajaiaiaijzjsbwbw

Answer:

Step-by-step explanation:

4) the first thing to notice is that the sides a and c are the same.. that's what the small marks are telling  you...  that are the same length. and since they are.. this is an isosceles triangle and the two angle at the base  .. along the b side will be the same.. so solving y is just the same as  A or 52°

then to solve for x we also need to use that the triangle add up to 180° on those inside angles..

180= 52+52+14x+6

maybe you can solve it from here.. but i'll do it quickly

70 = 14x

5=x

5) the exterior angle at C is 146 the total angle is 180 so the angle inside the triangle is 180=146+x      x= 34°

then use that the interior of the triangle add up to 180 again

180 = 34 + 5y+3 + 4y + 8

180 = 45 +9y

135 =9y

15 = y

:)

Answer:

[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]

Step-by-step explanation:

Even if I don't know the options I can give all the option that will be right for expending this. Just look at each step and see which one is one of the options.

[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]

Answer:

C. x > -7 and x <= 3

Step-by-step explanation:

-3 < x + 4 <= 7

Subtract 4 from the three expressions.

-7 < x <= 3

-7 < x means x > -7.

Then you have x <= 3.

Answer: C. x > -7 and x <= 3

Answer:

c.positive

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

5 and 7 are the coefficients if you need them

Answer:

ab = -2 * 3 = -6

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

Answer:

7h

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{9}{\sqrt{7}-2}=3\sqrt{7}+6[/tex]

Step-by-step explanation:

Rationalizing the Denominator

Rationalizing the denominator means to get rid of any radicals in the denominator.

We use the conjugate of the denominator to rationalize. The conjugate of a binomial is obtained by changing the sign that is between the two terms while keeping the same order of the terms. For example, the conjugate of

[tex]\sqrt{7}-2[/tex] is [tex]\sqrt{7}+2[/tex].

We need to use the algebraic identity:

[tex](a-b)(a+b)=a^2-b^2[/tex]

Let's rationalize

[tex]\displaystyle \frac{9}{\sqrt{7}-2}[/tex]

Multiply numerator and denominator by the conjugate of the denominator:

[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9}{\sqrt{7}-2}\cdot\frac{\sqrt{7}+2}{\sqrt{7}+2}[/tex]

Operate in the numerator and apply the identity in the denominator

[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9(\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)}[/tex]

[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9\sqrt{7}+18}{(\sqrt{7})^2-2^2}[/tex]

[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9\sqrt{7}+18}{7-4}=\frac{9\sqrt{7}+18}{3}[/tex]

Dividing:

[tex]\boxed{\displaystyle \frac{9}{\sqrt{7}-2}=3\sqrt{7}+6}[/tex]

Answer:

Answer:

The function describes the motorboat's distance from the shore  

Step-by-step explanation:

A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore

After 9 minutes, it is 14 km from the shore.

So, rate of change =  

Negative sign shows that there is decrease in distance per minute

The rate of change of distance is 4 km / minutes

General equation : y = mx+c

Where m is the slope and c is the constant

Substitute the values in the equation :

y=-4x+50

Where y is the final distance and x is the minutes

So, Option C is true

Hence The function describes the motorboat's distance from the shore

Step-by-step explanation:

Answer:

The ratio of 51:9 in it's simplest form is 17:3.

Answer:

324 cm²

Step-by-step explanation:

→ Work out perimeter of square

72 + 72 + 72 + 72 = 288

→ Work out the width of the rectangle

288 - (90 × 2) = 108

108 ÷ 2 = 54

→ Work out area of square

72 × 72 = 5184 cm²

→ Work out area of rectangle

90 × 54 = 4860 cm²

→ Minus the areas from each other

5184 cm² - 4860 cm² = 324 cm²

Answer:

C) 324cm²

Step-by-step explanation:

1) they have the same perimeter so to find it you add all four sides of the square because they are all the same ( 72+72+72+72=288)

2) now you multiply 90 by 2 because the rectanglehas to sides of the same length(90×2=180) the answer you get you are going to subtract to 288 (288-180=108)

3) now divide 108 by 2 (108÷2= 54) the answer you get equals the width of the side of the rectangle

4) to get the area of the rectangle you multiply 54 with 90 (54×90=4,860) to get the area of the square you multiply 72 times 72 (72×72=5,184)

5) now you subtract 5,184 and 4,860 ( 5,184-4,860= 324cm²)

Answer:

The answer of the addition is;

√2+√5

Step-by-step explanation:

Here, we want to evaluate the given sure

Basically, we want to add the two surds together

In the case of this question, since they have nothing in common, the addition of both will give the same results

Thus;

√2+√5 = √2+√5

Answer:

40 if i did the equation right and ignore this wiehdnsjw

Answer:

egg egg egg egg egg

Step-by-step explanation:

1+1=1972-1=egg

Answer:

B

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Because u have a 1/6 chance of getting any of the numbers

Answer:

4,923.75ft²

Step-by-step explanation:

The area of the backyard = Length * width \

Area of the backyard = 75 3/4 * 81 1/4

Area of the backyard = 303/4 * 325/4

Area of the backyard = 6,154.6875ft²

If 3/4 of the fence is finished, the area of the finished part is expressed as;

Finished part = 1/5 * 6,154.6875

Finished part = 1,230.9375ft²

Part left unfinished = 6,154.6875-1,230.9375

Part left unfinished  = 4,923.75ft²

Answer:235.5

Step-by-step explanation:

75 3/4= 75.75 (L). 81 1/4= 81.25 (W)

Perimeter= 314 3/4 of 314 is 235.5

Answer:

The equation is;

y = 2x^2 -8x + 12

Step-by-step explanation:

The vertex form can be written as;

a(x-h)^2 + k

(h,k) represents the coordinates of the vertex

In this case, we have this as (2,4)

The value of a is positive as the parabola opens up and it is the axis of symmetry

It is the x value that divides the graph into 2

Thus, we have x as = 2

so the equation of the graph will be;

2(x-2)^2 + 4

2(x^2 - 4x + 4) + 4

= 2x^2 -8x + 8 + 4

= 2x^2 -8x + 12

Answer:

Step-by-step explanation:

[tex]y = {(x + 7)}^{3} + 4 \\ [/tex]

There are no real zero in the equation.

a) 1:3

b) 1:3

c) 1:3

d) 1:3

e) 2:3

f) 2:3

g) 3:4

h) 31:42

Step-by-step explanation:

3:9=1:3

12:36=1:3

13:39=1:3

71:213=1:3

142:213=2:3

38:57=2:3

33:44=3:4

the simplest form of 31:42 is 31:42 because 31 is prime number so we can't divide it.

Answer:

-15

Step-by-step explanation:

-6x = 90

x = 90 ÷ -6

x = -15

Answer:

X = -15

Step-by-step explanation:

90/-6 is equal to -15.

You divide the number from the side with the variable from the other side of the = sign.

Answer:he has a 44% free throw rate

Step-by-step explanation:

Answer:

When you do not have a graph paper

or

one of the equations has an isolated variable

or

when the equations are not in slope intercept form