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2 years ago

15

Which pair shows equivalent expressions?

2 answers:

Rama09 [41]2 years ago

8 0

C is the best option

Yuliya22 [10]2 years ago

4 0

C is the answer to this question.

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Suppose that $3000 is placed in an account that pays 16% interest compounded each year. Assume that no withdrawals are made from

Papessa [141]

Answer:

a) $3480

b) $4036.8

Step-by-step explanation:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Suppose that $3000 is placed in an account that pays 16% interest compounded each year.

This means, respectively, that $P = 3000, r = 0.16, n = 1$

So

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

$A(t) = 3000(1 + \frac{0.16}{1})^{t}$

$A(t) = 3000(1.16)^{t}$

(a) Find the amount in the account at the end of 1 year.

This is A(1).

$A(t) = 3000(1.16)^{t}$

$A(1) = 3000(1.16)^{1} = 3480$

(b) Find the amount in the account at the end of 2 years.

This is A(2).

$A(2) = 3000(1.16)^{2} = 4036.8$

4 0

3 years ago

Find the following limit or state that it does not exist. ModifyingBelow lim With x right arrow minus 2 StartFraction 3 (2 x min

leva [86]

Answer:

-60

Step-by-step explanation:

The objective is to state whether or not the following limit exists

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2}$ .

First, we simplify the expression in the numerator of the fraction.

$3(2x-1)^2 -75 = 3(4x^2 - 4x +1) -75 = 12x^2 - 12x + 3 - 75 = 12x^2 - 12x -72$

Now, we obtain

$12(x^2-x-6) = 12(x+2)(x-3)$

and the fraction is transformed into

$\frac{3(2x-1)^2 - 75}{x+2} = \frac{12(x+2)(x-3)}{x+2} = 12 (x-3)$

Therefore, the following limit is

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2} = \lim_{x \to -2} 12(x-3) = 12 \lim_{x \to -2} (x-3)$

You can plug in $-2$ in the equation, hence

$12 \lim_{x \to -2} (x-3) = 12 (-2-3) = -60$

6 0

3 years ago

Solve: 12.5 z – 6.4 = –8 z + 3(1.5 z – 0.5)

dolphi86 [110]

Answer:

Step-by-step explanation:

12.5z - 6.4 =-8z + 3(1.5z - 0.5)

12.5z - 6.4 = - 8z + 4.5z - 1.5

12.5z - 6.4 = - 3.5z - 1.5

Bringing like terms on one side

12.5z + 3.5z = - 1.5 + 6.4

16z = 4.9

z = 4.9/16

6 0

3 years ago

Expanded notation for 55,032178

fenix001 [56]

74746394738284729274638292

8 0

3 years ago

Which equation represents a line that has a slope of 1/3 and passes through point -2, one

tensa zangetsu [6.8K]

Answer: y= 1/3 x + 5/3

Step-by-step explanation:

1= 1/3(-2) + b where b is the y intercept

1= -2/3 + B

+2/3 +2/3

B = 5/3

so we know the slope and the y- intercept

y= 1/3x + 5/3 check: 1=1/3(-2) +5/3

1 =1

8 0

3 years ago

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