2. Is the point (0,2) the solution to the system of equations: SHOW ALL YOUR WORK.
2 − = −2
2 + 4 = 8

Answer:A = 1500e^(0.03 * 5) = 1500e^(0.15)

use definition of logarithm

0.15 = ln(A / 1500)

0.15 = ln(A) - ln(1500)

ln(A) = 0.15 + ln(1500) = 0.15 + 7.313220387 = 7.463220387

Step-by-step explanation:

The amount of money Joe would have in his account after 5 years is $1742.75.

Given the following data:

To determine the amount of money Joe would have in his account after 5 years.

Mathematically, an interest that is compounded continuously given by the formula:

[tex]A = Pe^{rt}[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]A = 1500 \times e^{0.03 \times 5}\\\\A = 8000 \times e^{0.15}\\\\A = 1500 \times 1.1618[/tex]

A = $1742.75

Read more on compound interest here: https://brainly.com/question/16992474

Answer:

the answer is A!

Explanation:

here you go <3

Answer:

A

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

The average rate of change of A(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 4, 6 ] , then

f(b) = f(6) = 6² + 2(6) + 3 = 36 + 12 + 3 = 51

f(a) = f(- 4) = (- 4)² + 2(- 4) + 3 = 16 - 8 + 3 = 11 , thus

average rate of change = [tex]\frac{51-11}{6-(-4)}[/tex] = [tex]\frac{40}{10}[/tex] = 4 → E

Answer:

8x+36

Step-by-step explanation:

distribute the -4

-2x times -4 + -9 times -4

8x+36

Answer:

[tex]64x^2+648x-124[/tex]

if your question is

[tex]\left(-2x-9\right)\left(-4\right)\cdot \:8x-36-8x+368x+36-88-36[/tex]

Answer:

Maria is spending $1.25 for the bus pass everyday

Step-by-step explanation:

Given that Maria paid $38.75 for the pass for a month

As she bought the pass for the month of October and October has 31 days, dividing the amount paid for pass by 31 will give us the per day cost that she is spending.

So,

[tex]Per\ day\ cost = \frac{38.75}{31}\\= 1.25[/tex]

Maria is spending $1.25 for the bus pass everyday

Answer:

Perimeter is 50

Area is 60

Step-by-step explanation:

To get the perimeter, you add all the lengths of the sides together.

To get the area, you do A=hb * b / 2, which is 60

Answer:

The answer is at the bottom!!

Step-by-step explanation:

A= b * h * 1/2

24 * 5 =120

120 / (1/2)=60

60= 24 * 5 * 1/2

P = a + b + c

P= 13 + 24 + 13

P=50

Hope this helps!!

Answer:

the answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The initial value = 390

It decayed at an exponential rate of 8.5% for 9weeks which is also 63days

Decay exponential rate after 42days will be:

8.5% = 63days

x% = 42days

8.5% ×42days = 63days×x%

357 = 63x

x = 357/63

x = 5.666%

Hence after 42days it would have decayed by 5.666% of it initial value.

That is 5.666% of 390

5.666/100 × 390

0.056×390

= 22.0974

To the nearest hundredth 22.10

Hence the value left will be 390-22.0974

= 367.9026

To the nearest hundredth 367.90

Answer:

The answer is 367.57

Answer:  slope: 1/4

y-intercept: 0,3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It's not A because 7 is being repeated for y more than once. It's not B because 5 has been repeated more than once for y. It's not D because 7 is being repeated more than once for x. If you look at C, you can see that no numbers are being repeated for x, and no numbers are being repeated for y.

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(2,-5)\quad\implies\quad x_1=2\,,\ \ y_1=-5\\\\(3,-7)\quad\implies\quad x_2=3\,,\ \ y_2=-7\\\\d=\sqrt{(3-2)^2+(-7+5)^2}= \sqrt{1^2+(-2)^2}=\sqrt{1+4}=\sqrt5=2.236....\approx2.24[/tex]

Answer:

-12.75

Step-by-step explanation:

Find the product of 51 and -2.5. Use the distributive property to rewrite and solve.

The next step using Distributive property is to expand the brackets

5.1 × 2.5

Step 1: Distributive property

51(-2.0) + 51(-0.5)

Step 2: Expand the brackets

-10.2 + -2.55

Step 3

- 12.75

Answer:

-12.75

 The next step using Distributive property is to expand the brackets  

5.1 × 2.5  

Distributive property

51(-2.0) + 51(-0.5)

Expand the brackets

-10.2 + -2.55

 - 12.75

Answer:

Step-by-step explanation:

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Answer:

The bottle will last for 20 days.

Step-by-step explanation:

Given that:

Number of drops in a dose = 4 drops

Dose is taken three times a day, therefore,

Number of drops taken in a day = 4*3 = 12 drops

One milliliter = 20 drops

12 mL = 20*12 = 240 drops

Number of days the bottle will last can be find out by calculating total number of drops by the number of drops consumed in a day.

Number of days bottle will last = [tex]\frac{240}{12}=20[/tex]

Hence,

The bottle will last for 20 days.

Answer:

A.

Step-by-step explanation:

you have to find the discriminant

b²-4ac for each equation

if discriminant < 0 no real solutions because will be negative under the squareroot whhan you try to find the roots

if discriminant = 0 there is only one solution

if discriminant > 0 two real solutions

for your given problems

A. discriminant =(-2)²-4*2*15 will be negative

Answer:

x = 10/3

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

31 is half of 62, so it was a 50% decrease.

Answer:

d) A = 8⁻⁹

Step-by-step explanation:

[tex]A^{\frac{-x}{9}}= (8^{-9})^{\frac{-x}{9}}[/tex]

        [tex]= 8^{-9*\frac{x}{-9}}\\\\=8^{x}[/tex]

Answer:

1. x = 2

2. x = -2

3 x = 1

Step-by-step explanation:

Make x the subjects and work from there

Answer:

Its A

Step-by-step explanation:

Answer:

$81.12

Step-by-step explanation:

get cost per 1 pound by dividing 141.96 by 7; unit price is $20.28

4 pounds multiplied by 20.28 gives you $81.12

Answer:

x>-33/2

Step-by-step explanation:

this is because you must solve the equation. when you divide by a negative number in order to get the x alone the sign of the inequality flips.

Answer:

[tex]x > \frac{ - 11 - 22}{2} [/tex]

Step-by-step explanation:

Step 1: Subtract 7x7x from both sides.

−11<9x+22.−7x

Step 2:Simplify 9x+22.-7x9x+22.−7x to 2x+22.2x+22.

−11<2x+22.

Step 3:Subtract 22.22. from both sides.

−11−22.<2x

Step 4:Divide both sides by 22.

[tex] \frac{ - 11 - 22}{2} < x[/tex]

Step 5, Switch sides.

[tex] x > \frac{ - 11 - 22}{2} [/tex]

I hope it helps you.

Answer:

D

Step-by-step explanation:

We require to calculate the circumference (C) of the pizza

C = 2πr ( r is the radius )

here r = 10, then

C = 2π × 10 = 20π

Now divide the circumference by 4, for number of pieces, that is

number of pieces = [tex]\frac{20\pi }{4}[/tex] = 5π ≈ 15.7073...

Thus 15 full pieces can be cut from the pizza

Answer:

23

Step-by-step explanation:

y=f(n)=( -4× -7)-5

f(n)=28-5 =23

Please post your question fully !!

Answer:

huh?.............

Step-by-step explanation:

im not smart

Answer:

assuming all the meals cost the same: about 141 dollars

Step-by-step explanation:

comment if explanation needed

Answer:

Dependent.

Step-by-step explanation:

The system of equations we got there is dependent. This is because they are both basically the same equation, so the graph of both of them is just the same. We can get one equation from the other:

x+2y=7

if we multiplied both sides of the equation by -2 we would get:

-2(x+2y)=-2(7)

-2x-4y=-14

This means that the system of equations will have infinitely many answers.