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2 years ago

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Solve this system of equations 3x+3y+z =-18 x-3y+2z=15 8x-2y+3z=7

1 answer:

oee [108]2 years ago

3 0

Just showed this but here again

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A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

3 years ago

Best explained and correct answer gets brainliest.

kipiarov [429]

total = 2372* (1+0.045)^20=

2372*1.045^20=

2372 * 2.411714025= 5720.585

she will have 5720.59 in 20 years

6 0

4 years ago

Is f(x)=40-1.25x a function

poizon [28]

F(x) = 40 - 1.25x is a function.

7 0

3 years ago

What is three fourths multiplied by five?

Savatey [412]

3/4 times 5=
5 times 3=15
15/4=3 3/4
3 3/4 is answer

7 0

3 years ago

Read 2 more answers

What is the value of x, when -25(x - 4) = -55(x - 10)?

Finger [1]

$-25(x - 4) = -55(x - 10)\\\\-25x+100=-55x+550\ \ \ |-100\\\\-25x=-55x+450\ \ \ \ |+55x\\\\30x=450\ \ \ |:30\\\\x=15$

Answer: D) x = 15

3 0

4 years ago