Which of the following answer choices is a solution to

Victor has a credit card with an apr of 13.66%, compounded monthly. he currently owes a balance of $1,349.34. assuming that vict

scoray [572]

Answer:

$1545.65.

Step-by-step explanation:

We have been given that Victor has a credit card with an APR of 13.66%, compounded monthly. He currently owes a balance of $1,349.34.

To solve our given problem we will use compound interest formula.

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

A = Final amount after t years,

P = Principal amount,

r = Interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Let us convert our given interest rate in decimal form. $13.66=\frac{13.66}{100}=0.1366$

Upon substituting our given values in compound interest formula we will get,

$A=1,349.34(1+\frac{0.1366}{12})^{12*1$

$A=1,349.34(1+0.011383333)^{12$

$A=1.349.34(1.011383333)$

$A=1,349.34*1.145485275522$

$A=1,545.64910167397$ ≈ $ $1545.65$

Therefore, Victor will owe an amount of $1545.65 after one year.

3 0

2 years ago

Geometry Select the correct answer from each drop-down menu. Given that , ° and °.

Alexxx [7]

$\measuredangle BAC = 29°$

Answer:

$\measuredangle BOC =58°$

Step-by-step explanation:

$\measuredangle BDC = 29°...(Given) \\\because \measuredangle BAC = \measuredangle BDC\\(\angle 's \: subtended \: by\: same\: arc) \\\huge \purple {\boxed {\therefore \measuredangle BAC = 29°}} \\\\$

Since, angle subtended on the center of the circle is twice the angle subtended on the circumference of the circle.

$\therefore \measuredangle BOC =2\times \measuredangle BDC\\\therefore \measuredangle BOC =2\times 29°\\\huge \red {\boxed {\therefore \measuredangle BOC =58°}} \\$

8 0

3 years ago

eddie is practicing wind sprints during summer break. hes able to run 72 meters in 12 seconds if d represents distance and t rep

kkurt [141]

The ratio is 12:72............

5 0

3 years ago

Fred the ant is on the real number line, and Fred is trying to get to the point $0.$

Pavlova-9 [17]

Complete question is;

Fred the ant is on the real number line, and Fred is trying to get to the point 0

If Fred is at 1 then on the next step, Fred moves to either 0 or 2 with equal probability. If Fred is at 2 then on the next step, Fred always moves to 1

Let e1 be expected number of steps Fred takes to get to 0 given that Fred starts at the point 1. Similarly, let e2 be expected number of steps Fred takes to get to 0 given that Fred starts at the point 2

Determine the ordered pair (e1, e2)

Answer:

(e_1,e_2) = (2,3)

Step-by-step explanation:

We can track the probabilities using the scenario that Ant gets to 0 after 1 steps, 2 steps, 3 steps, 4 steps, 5 steps and so on.

This gives us e_1 = 1(1/2^(1)) + 2(1/2²) + 3(1/2³) + 4(1/2⁴) + ...

By arithmetico-geometric series, which is given by;

S_(∞) = [a/(1 - r)] + dr/(1 - r)²

From the online calculator, i got;

e_1 = 2

Similarly, e_2 = 2(1/2^(1)) + 3(1/2²) + 4(1/2³) + 5(1/2⁴) + ...

By arithmetico-geometric series, e_2 = 3,

Thus, (e_1,e_2) = (2,3).

6 0

3 years ago

What is the exact number of 2000

GaryK [48]

If you are rounding it will be the same thing

5 0

3 years ago