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aliina [53]
2 years ago
10

$100,000 for 20 years compounded at 4% annually results in a rate per period of:

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
3 0
Amount = 100000(1 + 0.04)^20 = 100000(1.04)^20 = $219,112.31
Compound Interest = $219,112.31 - $100,000 = $119,112.31
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Sladkaya [172]
Area = b*h and in some cases * 2 so you need to do this, 64*52 + 40*28= 4448 yd2
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3 years ago
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Which number would divide the numerator and the denominator of the first fraction to yield the second fraction? 14 18 ÷ ? ? = 7
Paha777 [63]

Step-by-step explanation:

14÷2=7

18÷2=9

for the first equation

14/y=7

cross multiply will be

7y=14

divide both sides by the co efficient of y which is 7

y=14÷2

y=2

same step for the second equation

6 0
2 years ago
<img src="https://tex.z-dn.net/?f=e%5E%7B2x%7D%20%3D%20ln%205" id="TexFormula1" title="e^{2x} = ln 5" alt="e^{2x} = ln 5" align=
KiRa [710]
e ^{2x} = ln5

Solve for the real domain

e ^{2x} = ln(5)

if f(x) =g(x), then ln(f(x))= ln(g(x))

ln(e ^{2x} ) = ln(ln(5))

Solve : <span>ln(e ^{2x} ) = ln(ln(5))
</span>
use the logarithmic definition :

ln(e^{f(x)} ) = f(x)

ln(e^{2x} ) = 2x

2x=ln(ln(5))

Divide both sides by 2 :

\frac{2x}{2} = \frac{ln(ln(5))}{2}

x= \frac{ln(ln(5))}{2}

hope this helps!

8 0
3 years ago
2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap
Ira Lisetskai [31]

Solution: The factor form of the given polynomial is f(x)=(x+4)(x+3)(x+2)(x+1).

Explanation:

To find the factor form of the given polynomial fisrt find the random value of x for which the vlaue of f(x) is 0.

The value of the function f(x) is 0 for x=-1, therefore (x+1) is a factor of given function.

Use synthetic method to divide the given polynomial for by (x+1). Write coefficients of polynomial in top line and -1 on left side of the line. Write first element in bottom line then multiply it by -1 and write it in second line below the element second element and the add. The division by synthetic method is given in figure 1.

The bottom line shows the coefficients of the quotient polynomial.

So f(x)=(x+1)(x^3+9x^2+26x+24)

Similarly (x+2) is the factor of given polynomial because for x=-2 the value of parenthesis polynomial is 0.

Use synthetic method to divide the parenthesis polynomial for by (x+2). it is shown in figure 2.

So

f(x)=(x+1)(x+2)(x^2+7x+12)\\f(x)=(x+1)(x+2)(x^2+3x+4x+12)\\f(x)=(x+1)(x+2)(x(x+3)+4(x+3))\\f(x)=(x+1)(x+2)(x+3)(x+4)

Hence the factor form of the given polynomial is f(x)=(x+4)(x+3)(x+2)(x+1). The graph of the given function is given in figure 3.


4 0
3 years ago
Help Please 15 points!!!
Arada [10]
The answer is -5(6x-1) /6
4 0
3 years ago
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