Melanie is going to invest in an account paying an interest rate of 3.1% compounded
daily. How much would Melanie need to invest, to the nearest dollar, for the value of
the account to reach $11,900 in 14 years?

Answer:

8.5

Step-by-step explanation:

(19x19)-(17x17)=72

square root of 72

Answer:

[tex]\frac{2}{k+2}[/tex]

Step-by-step explanation:

Given the expression:

[tex]\frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}[/tex]

We are to find the product as shown:

[tex]= \frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{k^2-2^2} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{(k-2)(k+2)} * \frac{k-2}{2k+1}\\\\= \frac{2}{k+2} * 1\\\\= \frac{2}{k+2}[/tex]

Hence the required function is [tex]\frac{2}{k+2}[/tex]

d. StartFraction 2 Over k + 2 EndFraction

aka

d. 2/k+2

Answer:

Theres no equation here?

Step-by-step explanation:

Answer:

4 1/3 cups

Step-by-step explanation:

All you have to do for this one is subtract 5 2/3 from 10, which is 4 1/3. Your equation could be 10-5 2/3=x.

Answer:

-16 - 10g

Step-by-step explanation:

All I did was distribute

-2*8 + -2*5g

-16 - 10g

(+ -) additive inverse

Answer:

6 1/2

Step-by-step explanation:

Answer:

6.5 quarts.

Step-by-step explanation:

This is rather simple math because 2 pints equal 1 quart. You divide 13 by 2, which is an uneven number so you are guaranteed a half, and you get 6.5

Answer:he ran 23 miles / XXIII miles more in February than March

Step-by-step explanation:

February = He ran XLVII ---   converting to numbers  becomes

XL= 40

VII=   7

XLVII= 47

In march he ran  XXIV--- converting to numbers becomes

XX= 20

IV= 4

XXIV= 24

Step 2

To find how many more he ran in February than March

Miles ran in February - Miles ran in March

47- 24=23.

Therefore he ran 23 miles / XXIII miles more in February than March

Answer:

pretty much answer c

Step-by-step explanation:

Answer:

8.9 meters

Step-by-step explanation:

this seems like a problem where you can use the pythagorean theorem:

you know one of the two legs (6m) and  the hypotenuse (9m), you must find the other leg

a^2 + 6^2 = 9^2

a^2 + 36 = 81

a^2 = 45

a = [tex]\sqrt{45}[/tex] or [tex]\sqrt{9}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to be 3[tex]\sqrt{5}[/tex] or approx. 8.9 meters

Answer:

Step-by-step explanation:

3rd one

Answer:

A= 113.1 (I rounded my answer)

Step-by-step explanation:

A=πr^2=π·6^2=113.09734

Answer:

x = 1-2

Step-by-step explanation:

27 = - 3x - 9

36 = -3x

-12 = x

x = -12

Step-by-step explanation:

27+9=-3x

36=-3x

36 divided by -3=x

-12=x

Answer:

The length of the road in the model is 60 m.

Step-by-step explanation:

Given: scale = 1:19

         real-life length of the road = 1.14 km

                                                      = 1140 m

Let the length of the road in the model be represented by d. A scale is a representative fraction that can be used to either increase or decrease the length of an object.

Scale = [tex]\frac{length on drawing}{actual length}[/tex]

The actual length is the real-life length given as 1140 m.

So that,

[tex]\frac{1}{19}[/tex] = [tex]\frac{d}{1140}[/tex]

19d = 1140

⇒ d = [tex]\frac{1140}{19}[/tex]

       = 60

Therefore, the length of the road in the model is 60 m.

Answer:

Let x equal “a number”

3x+5=9

Answer:

x = 4/3 or 1.33333333333333333333333(infinite 3)

Step-by-step explanation:

3 times a number =  3x

sum = addition

3x + 5 = 9

now balance equation, get numbers without x on same side. Subtract 5 from both sides, this will leave 3x on one side, and 9-5 on the other side.

3x = 4, now divide by 3 on each side to get x on one side

3x/3 = 4/3

x=4/3

4/3 = 1.33

3 x 1.33 +5 = 9

Answer:

yes

Step-by-step explanation:

Answer:

the answer is $51.83  

Step-by-step explanation:

Answer:

40 or 56 because 3.65 x 14.2 is gonna equal 51.83

Answer:

Step-1 : Multiply the coefficient of the first term by the constant

Step-by-step explanation:

Answer:

step 1 = Subtract 3 from both sides

step 2=  Use quadratic formula with a=1, b=14, c=-46

Answer to the equation = x=−7+√95 or x=−7−√95

Answer:

3

Step-by-step explanation:

I got it wrong so then it told me what the correct answer was:)

Answer:

(0,6)

Step-by-step explanation:

Answer: (5,3)

Step-by-step explanation:

Answer: There are 3 quarters , 9 dimes and 14 pennies.

Step-by-step explanation:

Let x= Number of quarters

Then, Number of dimes = 3x

Number of pennies = 3x+5

1 quarter = $ 0.25

1 dime = $0.10

1 penny = $ 0.01

So, Total amount = 0.25x+ 0.10(3x) + 0.01(3x+5)

= 0.25x+0.30x+ 0.03x+0.05

= 0.58x+0.05

Since Total amount = 1 dollar and 79 cents = $ 1.79  [1 cent = $ 0.01]

So,

[tex]0.58x+0.05=1.79\\\\\Rightarrow\ 0.58x= 1.74\\\\\Rightarrow x=\dfrac{1.74}{0.58}\\\\\Rightarrow x=3[/tex]

Thus, there are 3 quarters , 9 dimes , 14 pennies.

Answer:

Step-by-step explanation:

there are 3 quarters , 9 dimes , 14 pennies.

Answer:I picked 4

Step-by-step explanation:

.

Ans

$12.5/1 day

Step-by-step explanation:

Just cause

Answer:

what Netflix show were you watching?

Answer:

[tex](cosA +1)(cosA +2)[/tex]

Step-by-step explanation:

[tex]cos^2(A)+3cos(A)+2[/tex]

Which number add up to 3 and multiply to 2?

That would be 1 and 2.

[tex]cos^2(A)+3cos(A)+2=(cosA +1)(cosA +2)[/tex]

Answer:

the first one is 45% I don't no the second one

Answer:

Well I got 9 log 10 (2)/ 3-3log10 (5)

Please correct me if I am wrong

Step-by-step explanation:

You have to apply the rule alogc (b) (b^a)

= [tex]\frac{log10(\sqrt{8))^{4}-log10((\frac{1}{2}))^{3}) } }{3-6log10(\sqrt{5}) }[/tex]

\frac{\log _{10}\left(\frac{\left(\sqrt{8}\right)^4}{\left(\frac{1}{2}\right)^3}\right)}{3-6\log _{10}\left(\sqrt{5}\right)}

Step-by-step explanation:

y = 1 / (cx + a) - b

At the x-axis intercept, y = 0.

=> 1 / (cx + a) - b = 0

=> 1 / (cx + a) = b

=> b(cx + a) = 1

=> bcx + ab = 1

=> bcx = 1 - ab

=> x = (1 - ab) / (bc)

Hence the answer is Option B.