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natita [175]
4 years ago
7

Nazerhy deposits $8,000 in a certificate of deposit. The annual interest rate is 6%, and the interest will be compounded monthly

. How much will the certificate be worth in 10 years?
Round your answer to the nearest cent.
Do NOT round until you calculate the final answer
Mathematics
1 answer:
Likurg_2 [28]4 years ago
4 0

Answer:

A=\$14,555.17

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ P=\$8,000\\ r=6\%=6/100=0.06\\n=12  

substitute in the formula above

A=8,000(1+\frac{0.06}{12})^{12*10}  

A=8,000(1.005)^{120}  

A=\$14,555.17

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2 and 4 I am pretty sure. hopeful that's correct.

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3 years ago
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A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a pro
nikklg [1K]

Answer:

The constraints are as follows;

1) 2·x + 2·y ≤ 120

2) 3·x + 4·y ≤ 160

3) x = 2.30

4) y = 3.10

5) P = 2.3·x + 3.10

Step-by-step explanation:

The question is a word problem, with the analysis as follows;

The profit from the roast beef special per sandwich = $2.30

The profit from the turkey special per sandwich = $3.10

The number of slices of bread in the roast beef special = Two slices

The number of slices of cheese in the roast beef special = Three slices

The number of slices of bread in the turkey special = Two slices

The number of slices of cheese in the turkey special = Four slices

The number of slices of bread the deli has  = 120 slices

The number of slices of cheese the deli has = 160 slices

Let 'x' and represent the number of roast beef special and 'y' represent the number of turkey special the deli makes, then we have the constraints as follows;

For the number of slices of bread used;

2·x + 2·y ≤ 120...(1)

For the number of slices of cheese used;

3·x + 4·y ≤ 160...(2)

x = 2.30

y = 3.10

The profit 'P' is given by the following equation

P = 2.3·x + 3.10.

5 0
3 years ago
Evaluate the piecewise function for the given values.
adoni [48]

Answer:

f(-3) = -2

f(-2.6) = -2

f(0.6) = 2.4

f(4.5) = 8.5

Step-by-step explanation:

(Whole question:

Evaluate the piecewise function for the given values.

Find f(-3), f(-2,6), f(0.6), and f(4.5) for f(x)={ -2 If x ≤ 0 4x. If 0 <x <1. x + 4. If x ≥ 1)

As the piecewise function shows, the function f(x) has the value of -2 for values of x lesser or equal than 0, has the value of 4x if the value of x is between 0 and 1, and has the value of x+4 for values of x greater or equal than 1.

So, for f(-3), the value of x is lesser than 0, so we have that f(-3) = -2

For f(-2.6), the value of x is lesser than 0, so we have that f(-3) = -2

For f(0.6), the value of x is between 0 and 1, so we have that f(0.6) = 4*0.6 = 2.4

For f(4.5), the value of x is greater than 1, so we have that f(4.5) = 4.5 + 4 = 8.5

5 0
3 years ago
Three moons are in the same circular orbit around a planet. The moons are each 120,000 kilometers from the surface of the planet
VladimirAG [237]

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

MN is the diameter of the planet which is MN = 60000

AM and NC are the distance of moons from the surface of the planet.

AM = NC = 120000

Since, angle ABC is given as 90 degree, it means, line AC will pass from the diameter of the planet.

So, distance between moon A and moon C is =

AC=AM + MN + NC

AC = 120000+ 60000+ 120000

AC = 300000

Hence the distance between point A and point C is 300000 Km.   :   Answer

Hope it will help :)

8 0
3 years ago
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