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valentina_108 [34]

3 years ago

8

Lake Victoria surface area is 26,828 square miles. Lake Superior surface area is 31,700 square miles. How much larger is the sur

face area of Lake Superior than Lake Victoria?

1 answer:

alekssr [168]3 years ago

5 0

4,872 square miles larger

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Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)

vredina [299]

Answer:

value: $66,184.15
interest: $6,184.15

Step-by-step explanation:

The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.

__

<h3>formula</h3>

The formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...

FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)

FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148

FV ≈ 66,184.15

<h3>calculator</h3>

The attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.

__

<h3>a) </h3>

The future value of the annuity due is $66,184.15.

<h3>b)</h3>

The total interest earned is the difference between the total of deposits and the future value:

$66,184.15 -(12)(5000) = 6,184.15

A total of $6,184.15 in interest was earned by the annuity.

3 0

1 year ago

What is the inverse of f(x)=(x+6)2 for x≥–6 where function g is the inverse of function f? g(x)=x√−6, x≥0 g(x)=x−6−−−−√, x≥6 g(x

avanturin [10]

Answer:

$g(x)=\sqrt{x}-6$ , x>=0

Step-by-step explanation:

$f(x)=(x+6)^2$

To find the inverse function , replace f(x) by y

$y=(x+6)^2$

Replace x with y and y with x

$x=(y+6)^2$

Solve the equation for y

take square root on both sides

$+\sqrt{x} =y+6$

Now subtract 6 from both sides

$+\sqrt{x}-6=y$

replace y with g(x)

$g(x)=\sqrt{x}-6$

8 0

3 years ago

I just need Y. I already found X

garri49 [273]

Y = 54.

This is really complicated to explain, but since x is 36 and the angle on the other side of the known angle is also 36, that makes y 54. Each pair of angles has to equal to 90 degrees.

Hope this helps!

4 0

2 years ago

G(x) = -0.5x^2 + 4x – 2

-BARSIC- [3]

Answer:

Step-by-step explanation:

What is the question?

g(x) = -0.5x² + 4x - 2 is a down-opening parabola. Do you need to know how to put it in vertex form?

vertex (4,6)

focus (4,5.5)

5 0

2 years ago

X²-10x+25=0 quadratic equation by factoring

lisov135 [29]

Answer:

x = 5

Step-by-step explanation:

${x}^{2} - 10x + 25 = 0 \\ {x}^{2} - 5x - 5x + 25 = 0 \\ x(x - 5) - 5(x - 5) = 0 \\ (x - 5)(x - 5) = 0 \\ ( x- 5) = 0 \: or \: (x - 5) = 0 \\ x = 5 \: or \: x = 5 \\ x = 5$

4 0

2 years ago