Help me solve this equation please

A=130(1.05)^x by what percent does the balence increase each year?

frosja888 [35]

Answer:

5%

Step-by-step explanation:

The question showing a growing function that commonly used in compound interest calculation. The formula for compound interest is:

A = P (1 +r) ^ t

A= amount of the balance after a period of t

P= principal, the initial money deposit

r= rate

t= time

The percent of balance increase should be represented by the rate(r). In this equation, the principal will be 130, (1+r) will be 1.05, and time will be x.

The value of rate (r) will be:

(1+r) = 1.05

r= 1.05-1= 0.05 = 5%

6 0

3 years ago

The hypotenuse of a right triangle is 7 feet long. One leg is 4 feet longer than the other. Find the lengths of the legs, Round

Andrews [41]

Answer:

Shorter leg = 2.5 ft.

Longer leg = 6.5 ft.

Step-by-step explanation:

a^2 + b^2 = c^2

Because the hypotenuse = 7 ft, a^2 + b^2 = 49

To represent the two legs, we can use x and x+4.

x^2 + (x+4)^2 = 49

Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.

Then, using the quadratic formula, we find that x = 2.5.

Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.

5 0

2 years ago

(From Textbook) A company makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce,

Doss [256]

Answer:

The company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.

Step-by-step explanation:

Let x be the number of ounces of chicken

let y be the number of ounces of grains

We are given that Chicken has 10 grams of protein and 5 grams of fat per ounce.

Chicken has protein in 1 ounce = 10

Chicken has protein in x ounces = 10x

Chicken has fat in 1 ounce = 5

Chicken has fat in x ounces = 5x

We are also given that grain has 2 grams of protein and 2 grams of fat per ounce

Grain has protein in 1 ounce = 2

Grain has protein in y ounces = 2y

Grain has fat in 1 ounce = 2

Grain has fat in y ounces =2y

Now we are given that . A bag of dog food must contain at least 200 grams of protein and at least 150 grams of fat.

So, equation becomes:

$10x+2y\geq 200$ ---A

$5x+2y\geq 150$ ---B

Since x and y represent the ounces .

So, $x\geq 0$ ---C and $y\geq 0$ ----D

Plot A ,B ,C and D on the graph

Refer the attached graph so , the corner points are (0,100),(10,50) and (30,0)

We are also given that chicken costs 10 cents per ounce and grain costs 1 cent per ounce

So, Cost function becomes : $c=10x+y$

At(0,100)

$c=10x+y$

$c=10(0)+100$

$c=100$

At(10,50)

$c=10x+y$

$c=10(10)+50$

$c=150$

At(30,0)

$c=10x+y$

$c=10(30)+0$

$c=300$

Minimum cost is 100 cents at (0,100)

So, the company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.

3 0

2 years ago

Find the value of x.<br> 16<br> 40°<br> D<br> (Round to the nearest tenth as needed.)

dsp73

Answer:

Hi

Step-by-step explanation:

So

3 0

2 years ago

Trọng lượng một sp là bnn pp chuẩn với trung bình là 20,5 và độ lệch chuẩn là 2. Lấy ngẫu nhiên 4 sp để kiểm tra thì với xs 0,95

Illusion [34]

You need to make this is all languages if you want help thank you . :)

8 0

2 years ago