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shusha [124]
2 years ago
14

Devante has a lunch account in the school cafeteria. His starting balance at the beginning of the month in $35.50. The first wee

k, Devante bought 3 lunches and his account balance was $28.00. The second week, Devante bought 5 lunches and his account balance was $15.50.
In a model that relates the balance of his lunch account as a function of the number of lunches he buys, what does the rate of change represent?

A) the number of lunches he purchases
B) The starting balance of his lunch account
C) The amount of money in his lunch account
D) The amount of money he pays for each lunch
Mathematics
1 answer:
Alla [95]2 years ago
8 0

Answer:

C) The amount of money in his lunch account

Step-by-step explanation:

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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
What is the area of this figure?<br> Enter your answer in the box.
Aleks [24]

Step-by-step explanation:

55

the coordinates will add each other

4 0
2 years ago
A surveyor has poles A, B, and C set to form a right triangle with the right angle at B. If the distance from A to B is 35 meter
tia_tia [17]
A^2+b^2=c^2 
35^2+25^2=25^2
So the answer is 25
6 0
3 years ago
1. )The function f(x)=12,500(0.87)^x models the value of a car x years after it is purchased.
sweet-ann [11.9K]
1] Given that the value of x has been modeled by f(x)=12500(0.87)^x, then:
the rate of change between years 1 and 5 will be:
rate of change is given by:
[f(b)-f(a)]/(b-a)
thus:
f(1)=12500(0.87)^1=10875
f(5)=12500(0.87)^5=6230.3
rate of change will be:
(6230.3-10875)/(5-1)
=-1161.2
 rate of change in years 11 to 15 will be:
f(11)=12500(0.87)^11=2701.6
f(15)=12500(0.87)^15=1,547.74
thus the rate of change will be:
(1547.74-2701.6)/(15-11)
=-288
dividing the two rates of change we get:
-288/-1161.2
-=1/4
comparing the two rate of change we conclude that:
The average rate of change between years 11 and 15  is about 1/4  the rate between years 1 and 5.
The answer is D]
2] Given that the population of beavers decreases exponentially at the rate of 7.5% per year, the monthly rate will be:
monthly rate=(n/12)
where n is the number of months
=7.5/12
=0.625
This is approximately equal to 0.65%. The correct answer is A. 0.65%

7 0
3 years ago
What is the solution to f (x)=g (x), if f (x)=-x and g (x)=x​
Llana [10]

Answer:

Step-by-step explanation:

7 0
3 years ago
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