What number makes the equation true? Enter the answer in the box. = 2 = 8 = 8

Mathematics

1 answer:

rewona [7]3 years ago

4 0

Answer:

a = 4

Step-by-step explanation:

Let the number be a.

2× a = 8 ...(1)

We need to find the value of a such that th above equation is true.

Divide both sides of equation (1) by 2 .

a = 8/2

a = 4

Hence, if the value of a is 4 the equation will become true.

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If $300 is invested at a rate of 6% per year and is compounded quarterly, how much will the investment be worth in 12 years?

MAXImum [283]

Answer:

$613.04

Step-by-step explanation:

<em>Compound Interest Formula:</em>

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

n = number of compounds

t = time

r = interest rate

P = principle amount (original amount)

A = final amount

Since it's compounded quarterly, that means there will be 4 compounds per year, so n=4. The interest rate has to be converted to the decimal value, and this is done by simply dividing it by 100 to get r=0.06.

Plug Values into equation:

$A = 300(1+\frac{0.06}{4})^{12*4}$

Simplify inside parenthesis

$A = 300(1.015)^{48}$

Calculate exponent

$A \approx 300(2.043478)$

Multiply values

$A \approx 613.04348$

Round

$A = 613.04$

7 0

2 years ago

The graph of f(x)=3•2^x -3 is shown below. G(x) is a transformation of f(x). How would you write the equation for the function g

Bezzdna [24]

Answer:

Step-by-step explanation:

To find the appropriate equation, notice the red graph has shifted up about 6 units. This means that $3*2^x-3$ which is shifted by -3 will move 6 up. -3+6= 3. This means the function will have +3. Only B and C are options. Now test a point. Notice the red function crosses the y-axis at about 5 or 6 when x=0.