A person invests 3500 dollars in a bank. The bank pays 6.25% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 11100 dollars?

Answer:

The first picture is 72 ft²

Step-by-step explanation:

Answer for 1:

242

Answer for 2:

214.57

Answer for 3:

88.79

Explanation:

I used Goggle

Answer:

76+76=152

Step-by-step explanation:

The ratio of boys to girls is 74:62

74 represents the boys

62 represents the girls

Answer:

13(g+4)=79=16    if          -13(g+4)=79+16

g=43/13                               g=-147/13=-11 1/13

Step-by-step explanation:

13g+52=95               -13g-52=95

13g=95-52                -13g=95+52

13g=43                      -13g=147

g=43/13                       g=-147/13=-11 1/3

Answer:

[tex]f_{ave}[/tex] = [tex]{\frac{10 }{3\pi }[/tex]

Step-by-step explanation:

To find - Find the average value fave of the function f on the given interval. f(x) = 5 sec²(x/6), [0, 3[tex]\pi[/tex]/2]

Proof -

We know that,

Average value of f in the interval [a, b] is -

[tex]f_{ave}[/tex] = [tex]\frac{1}{b - a}\int\limits^b_a {f(x)} \, dx[/tex]

Now,

Here a = 0, b = [tex]\frac{3\pi }{2}[/tex], f(x) = [tex]5sec^{2}(\frac{x}{6} )[/tex]

Now,

[tex]f_{ave}[/tex] = [tex]\frac{1}{\frac{3\pi }{2} - 0}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx[/tex]

      = [tex]{\frac{2 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx[/tex]

      = [tex]{\frac{10 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {sec^2 ({\frac{x}{6} }) } \, dx[/tex]

      = [tex]{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) }|^{\frac{3\pi }{2} }_0 \, ][/tex]

      = [tex]{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) - tan({0) } \, ][/tex]

      = [tex]{\frac{10 }{3\pi }}[ {1 - 0 } ][/tex]

      = [tex]{\frac{10 }{3\pi }[/tex]

⇒[tex]f_{ave}[/tex] = [tex]{\frac{10 }{3\pi }[/tex]

Answer:

B. 62 un2

Step-by-step explanation:

Answer:

6) Slope: -2, Y-Intercept: 4

7) Slope: 5/4, Y-Intercept: -4

Step-by-step explanation:

Answer:

115 I think is the answer

Answer:

1/4 is slope\

Step-by-step explanation:

Answer: 27.625 fl oz

Step-by-step explanation:

8.25*3.5= 27.625 fl oz

Answer:

F

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

divide it

45/.7

Answer: [tex]20\times 20, 16\times 25, 10\times 40[/tex]

Step-by-step explanation:

Given

The volume of the pool is [tex]1600\ ft^3[/tex]

Depth of water is [tex]d=4\ ft[/tex]

Suppose A is the base of the pool

[tex]\Rightarrow V=A\times d\\\Rightarrow 1600=A\times 4\\\Rightarrow A=400\ ft^2[/tex]

This area can be written as

[tex]\Rightarrow A=10\ ft\times 40\ ft\ or\\\Rightarrow A=16\ ft\times 25\ ft\ or\\\Rightarrow A=20\ ft\times 20\ ft[/tex]

Answer:

144 cube units

Step-by-step explanation:

volume = width*height*length

V=12*3*4

V=144 cube units

Answer:

This is your answer. If I'm right so,

Please mark me as brainliest. thanks!!!

Answer: 5/24 ft²

Step-by-step explanation:

To find the the area of a rectangle with side lengths 5/8 ft and 1/3 ft, we need to know that the area of a rectangle is gotten by multiplying the length by the width.

In this case, the area of the rectangle will be:

= 5/8 × 1/3

= 5/24 ft²

Answer:

Step-by-step explanation:

[tex]\frac{1}{a}-\frac{1}{b} =\frac{1*b}{a*b}-\frac{1*a}{b*a}\\\\=\frac{b}{ab}-\frac{a}{ab}\\\\=\frac{b-a}{ab}\\\\\\(\frac{1}{a}-\frac{1}{b})^{-1} = (\frac{b-a}{ab})*{-1}\\\\=\frac{ab}{b-a}[/tex]

Step-by-step explanation:

The answer will be-+ 11376

Answer:

√{5688×5688×4}=√{5688²×2²)==±11376

Answer:

c

Step-by-step explanation:

angles in a triangle r equal to 180

180-90-65 is equal to 25

and 1 is 90 degree

Answer:

x = 1

y= -1

Step-by-step explanation:

Plug in for y

2x + (5)(-1) = -3

2x - 5 = -3

2x = - 3 + 5

2x = 2

x = 1

Answer:

5

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

60 feet

Step-by-step explanation:

Perimeter is the sum of the four sides of a rectangle

the formula for the perimeter of a rectangle = 2 x (length + breadth)

2 x (10 + 20)

2 x (30)

= 60 feet

Alternatively, you can add the sides together : 10 + 10 + 20 + 20 = 60 feet

Answer:

Step-by-step explanation:

Remark

The solution to this is to add the two vertically opposite arcs and take 1/2 of the result to get the intersecting angle of the chords.

Solution

<x = 1/2 (arc measure of 116 + 74)

<x = 1/2 (190)

<x = 95

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1. P(E)>P(D) (Event E is more likely to occur, therefore it has a greater probability)

2. P(E)>0.5 (The probability of event D is given as 0.5, so rewrite P(D) in the inequality)

3. 0.5 is equal to 0.5 and 0.1 is less than 0.5, so you can rule out options A and D

4. This leaves us with options 1.5 and 0.9, but it is impossible to have a probability that is greater than equal to one, so you can immediately rule out B

5. After this elimination process, the only remaining answer is C) P(E)=0.9

Answer:

3(2g + 3)

Step-by-step explanation:

We start out with the expression (2g + 2) - (-4g - 7).

Firstly, let's distribute the negative:

(2g + 2) - (-4g - 7)

2g + 2 + 4g + 7

Now, combine like terms:

2g + 4g + 7 + 2

6g + 9

The GCF stands for "Greatest Common Factor." In this case, we have to find the GCF between 6 and 9. What is the GCF of 6 and 9? It would be 3. So,

6g + 9

3(2g + 3)

Answer:

3/4

Step-by-step explanation:

Answer:

The answer is letter A.

Step-by-step explanation:

 The amount that each company charges per hour on the pool is known, however the amount of hours they will be working is not, and is needed to distinguish which company is cheaper. Therefore, the number of hours is  substitued by x and it is right next to the amount they charge for each hour. To find what each company charges, you must sum up what they charge and what they charge per hour, times the hours they will have to work on it( which is unknown and by x).