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3 years ago

Gianna has a two $3,000 one year CDs at different banks. Each compounds

Mathematics

1 answer:

sertanlavr [38]3 years ago

8 0

Answer:

Option D

Step-by-step explanation:

To calculate compound interest we will use the formula :

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

Where,

A = Amount on maturity

P = Principal amount = $3000

r = rate of interest = 8.4% = 0.084

n = number of compounding period = Monthly = 12

t = time = 1 year

Now put the values in the formula.

$A=3000(1+\frac{0.08}{12})^{(12)(1)}$

= $3000(1+0.007)^{12}$

= 3000(1.007)¹²

= 3000 × 1.08731066

= 3261.93198 ≈ $3261.93

While the other bank compounds interest daily.

Therefore, n = 365

Now put the values in the formula with n = 365

$=3000(1+\frac{0.084}{365})^{(365)(1)}$

$=3000(1+0.00023014)^{365}$

$=3000(1.00023014)^{365}$

= 3000 × 1.08761958

= 3262.85874 ≈ $3262.86

Difference in the ending balance = 3262.86 - 3261.93

= $0.93

The difference in the ending balances of both CDs after one year would be $0.93.

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Easy points here pls help tho lol

pochemuha

36 I believe
If I’m right pls give brainliest

7 0

2 years ago

A circle has a radius of 4 x^3 y^5 cm. The area of a circle can be found using A equals pi r^2

GrogVix [38]

Answer:

Step-by-step explanation:

There are two other important distances on a circle, the radius (r) and the diameter (d). The radius, the diameter, and the circumference are the three defining aspects of every circle. Given the radius or diameter and pi you can calculate the circumference. The diameter is the distance from one side of the circle to the other at its widest points. The diameter will always pass through the center of the circle. The radius is half of this distance. You can also think of the radius as the distance between the center of the circle and its edge.

This diagram shows the circumference, diameter, center, and radius on a circle.

4 0

3 years ago

You have $30 dollars saved up. Every week you spend $6 at the arcade. Write an equation in slope intercept form that shows how m

Colt1911 [192]

Answer:

y = -6x + 30

Step-by-step explanation:

The inicial value you have is $30, so this will be the value of y after 0 weeks, that is, x = 0

After one week, you spend $6, so you will have y = 30 - 6 = 24 when x = 1.

With these pair of values, we can find the linear equation:

y = ax + b

for x = 0, y = 30:

30 = a*0 + b

b = 30

for x = 1, y = 24:

24 = a*1 + 30

a = 24 - 30 = -6

So, our equation is:

y = -6x + 30

7 0

3 years ago

Ravi has ridden 44 miles of a bike course. The course is 55 miles long. What percentage of the course has Ravi ridden so far?

vitfil [10]

Answer:

80%

Step-by-step explanation:

To find the percent that he has ridden, divide the number of miles he has ridden by the total length of the course

44/55

= 0.8

So, Ravi has ridden 80% of the course

5 0

2 years ago

Read 2 more answers

A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts. Estimate the true proportion

Andreas93 [3]

Answer: (0.5496, 0.5754)

Step-by-step explanation:

The confidence interval for population proportion (p) is given by :-

$\hat{p}\pm z*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$ , where $\hat{p}$ = Sample proportion , n= sample size , z*= Critical z-value.

Let p be the proportion of all college students who are in favor of banning Hawaiian shirt.

Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.

i.e. n=4000

$\hat{p}=\dfrac{2250}{4000}=0.5625$

z-value for 90% confidence level is 1.645

Now , 90% confidence interval for p would be :

$0.5625\pm (1.645)(\sqrt{\dfrac{0.5625(1-0.5625)}{4000}})$

$=0.5625\pm (1.645)(\sqrt{0.0000615234375})\\\\=0.5625\pm (1.645)(0.00784368774876)\\\\\approx0.5625\pm0.0129\\\\=(0.5625-0.0129, \ 0.5625+0.0129)\\\\=(0.5496,\ 0.5754)$

Hence, the required 90% interval = (0.5496, 0.5754)

6 0

3 years ago