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Mashutka [201]
3 years ago
15

Anthony wants to buy CD for $400 that earns 2.5% APR and is compound quarterly. The CD matures in 3 years. Hi interest earned wi

ll not be reinvested in the cd. what will Anthony total interest earned be at the date of maturation? APEX
A. $60.00
B. $30.00
C. $15.00
D. $7.50
Mathematics
1 answer:
lukranit [14]3 years ago
5 0

Answer:

<em>The correct option is:   B.  $30.00</em>

Step-by-step explanation:

<u>The formula for compound interest</u> is.......

A=P(1+\frac{r}{n})^n^t , where A= Final amount, P= Initial amount, r= rate of interest in decimal form, n= number of compounding in a year and t= time duration in years.

Anthony wants to buy CD for $400 that earns 2.5% APR and is compound quarterly and the CD matures in 3 years.

So here,  P= 400, r=2.5\%=0.025, t= 3

As the CD is compounded quarterly, so here  n= 4

Plugging these values into the above formula......

A= 400(1+\frac{0.025}{4})^(^4^*^3^)\\ \\ A= 400(1+0.00625)^1^2\\ \\ A=400(1.00625)^1^2\\ \\ A= 431.053...

So, the amount of total interest earned = (\$431.053...-\$400)=\$31.053... \approx \$30.00(Approximately)

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The diagram shows a sector of a circle radius 11 cm.
nadya68 [22]

Answer:

Perimeter of sector is 47.93 cm which is greater than 47.5 cm

Step-by-step explanation:

Mathematically, the perimeter of a sector is length of the arc plus 2 radii

The length of the arc is;

theta/360 * 2 * pi * r

where theta is the angle subtended by the arc at the center of the circle

Thus, we have

135/360 * 2 * 22/7 * 11 = 25.93

Add 2 radii = 25.93 + 2(11) = 47.93 cm

This is greater than what we are asked to calculate and thus we have shown what we are asked to show

4 0
3 years ago
Could someone help me out?
Studentka2010 [4]

The equation of the line is y = -11x + 232

<h3>How to determine the equation?</h3>

The given parameters are:

Slope (m)= -11

Point (x1, y1) = (31, -109)

The linear equation is then calculated as:

y = m(x - x1) + y1

This gives

y = -11(x - 31) - 109

Evaluate the product

y = -11x + 341 - 109

Evaluate the like terms

y = -11x + 232

Hence, the equation of the line is y = -11x + 232

Read more about linear equations at:

brainly.com/question/14323743

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3 0
2 years ago
Classify each as Linear or Exponential
Marysya12 [62]

Answer:

1. Linear.

2. Exponential.

3. Exponential.

4. Linear.

Step-by-step explanation:            

We have been given some examples of functions and we are asked to classify which of the given functions are linear and exponential.

Since we know that values of a linear function changes at a constant rate, while rate of change of an exponential function is always proportional to the value of function.

Let us see our given function choices one by one.

1. Every year 39 million cars cross the Golden Gate Bridge in San Francisco.

We can see from our function that rate of change for this function is constant as every year same number of cars cross the Golden Gate Bridge, therefore, our function represented by first option is a linear function.

2. Every month a restaurant sells 2% more milkshakes to customers.

We can see from this function that rate of change is not constant as every next month the restaurant sells 2% more milkshakes than last month, therefore, the function represented in 2nd option is exponential function.

3. The number of visitors to the Eiffel Tower in Paris increases by 1.5% each year.  

We can see from this function that rate of change is not constant as every next year the number of visitors is 1.5% more than last year, therefore, the function represented in 3rd option is exponential function.

4. Each week you get $10 and add it to your savings account.

We can see from our function that rate of change for this function is constant as every next week same amount is added to savings account, therefore, our function represented by 4th option is a linear function.

8 0
3 years ago
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vesna_86 [32]

Answer:

9/20

Step-by-step explanation:

45% can be written as

= 45/100

= 9/20

Hope it will help u..

3 0
3 years ago
Read 2 more answers
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Alex_Xolod [135]

Answer:B

Step-by-step explanation:

5 0
3 years ago
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