In one year, a dog's weight increased

Ellen now has $125. how much would she have after 8 years if she leaves it invested at 8.5% with annual compounding?

liraira [26]

We know the formula for compound interest as

$A=P(1+\frac{r}{n})^{nt}$

Now, we have been given that Ellen has $125. It means we have

P = $125

From the given directions, we have

$r=0.085\\
t=8\\
n=1$

On substituting these values in the above mentioned formula, we have

$A=125(1+\frac{0.085}{1})^{1\times 8}\\
\\
A=\$240.08$

Therefore, Ellen would have $240.08 after 8 years.

3 0

4 years ago

Solve this to get brainiest

Eddi Din [679]

Answer:

1 a. commutative property of multiplication

b. distributive property of multiplication

2 x=23\12

-x = -23\12

-23\12+23\12=0

thus -(-x)+x

6 0

3 years ago

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<img src="https://tex.z-dn.net/?f=x%20%2B%201.2x%20%2B%201%20%3D%20100%20%5C%5C%20%20%5C%5C%20find%20%5C%3A%20x" id="TexFormula1

uysha [10]

Answer: $x=45$

Simplify both sides of the equation

$x+1.2x+1=100$

$(x+1.2x)+(1)=100$ (Combine Like Terms)

$2.2x+1=100$

Subtract 1 from both sides

$2.2x+1-1=100-1\\2.2x=99$

Divide both sides by 2.2

$2.2x/2.2=99/2.2$

$x=45$

4 0

4 years ago

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PLS HELP!! WILL MAKE BRAINLIEST!!!!

poizon [28]

Answer:

(86.2,0) is the x-intercept.

Step-by-step explanation:

You can use the slope formula to figure this one out:

Just use two of the points on the table, any of them will work:

$(33,-22)\\(52,-33)$

$\frac{-22-33}{33-52} =\frac{-55}{-19}=\frac{55}{19}$

Now you have the slope of the equation, now using the y-intercept equation you can substitute the variables for point of the table and the new slope.:

$(71,-44)\\y=mx+b\\-44=\frac{55}{19} (71)+b$

Now just solve for b to get the y intercept:

$-44=\frac{55}{19}(71)+b\\-44= \frac{3905}{19} +b\\(-\frac{3905}{19})-44=\frac{3905}{19} +b(-\frac{3905}{19})\\ -\frac{4741}{19}=b$

Now you have the y-intercept so you just have to plug in 0 to the y spot and it will calculate the x-intercept.

$0=\frac{55}{19}x-\frac{4741}{19}\\(+\frac{4741}{19})0=\frac{55}{19}x-\frac{4741}{19}(+\frac{4741}{19})\\\\\frac{4741}{19}=\frac{55}{19}x\\\frac{\frac{4741}{19}}{\frac{55}{19} }= \frac{\frac{55}{19} x}{\frac{55}{19} } \\\frac{431}{5} =x\\or\\86.2=x$

And that's the x-intercept.

5 0

2 years ago

Read 2 more answers

Find values a and b that satisfy a∙〈5,-4,0〉+b∙〈2,2,-3〉=〈11,-16,-6〉.

WARRIOR [948]

The right hand side of the equation is 〈11 , -16 , 6〉

The values of a and b are a = 3 , b = -2

Step-by-step explanation:

If n . <a , b> + m . <c , d> = < x , y>, then

na + mc = x
nb + md = y

∵ a ∙〈5 , -4 , 0〉 + b ∙ 〈2 , 2 , -3〉 = 〈11 , -16 , 6〉

- By using the rule above

∴ a(5) + b(2) = 11 ⇒ (1)

∴ a(-4) + b(2) = -16 ⇒ (2)

∴ a(0) + b(-3) = 6 ⇒ (3)

Use equation (3) to find the value of b

∵ a(0) + b(-3) = 6

∴ 0 - 3b = 6

∴ -3b = 6

- Divide both sides by -3

∴ b = -2

Substitute b in equation (1) or equation (2) to find a

∵ a(5) + b(-2) = 11

∴ 5a - 2b = 11

∵ b = 2

∴ 5a - 2(2) = 11

∴ 5a - 4 = 11

- Add 4 to both sides

∴ 5a = 15

- Divide both sides by 5

∴ a = 3

To check your answer substitute a and b in equation (2)

∵ a(-4) + b(2) = -16

∴ -4a + 2b = -16

∵ a = 3 , b = -2

∵ The left hand side is -4a + 2b = -4(3) + 2(-2) = -12 - 4 = -16

∵ The right hand side is -16

∴ L.H.S = R.H.S

∴ The values of a and b are 3 , -2

The values of a and b are a = 3 , b = -2

Learn more:

You can learn more about the equations in brainly.com/question/11306893

#LearnwithBrainly

8 0

4 years ago