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Darya [45]
3 years ago
5

Suppose that a loan of $6000 is given at an interest rate of 9% compounded each year.

Mathematics
2 answers:
kirza4 [7]3 years ago
5 0

Answer: a) $6649

b) $7128.6

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 6000

r = 9% = 9/100 = 0.09

n = 1 because it was compounded once in a year.

a)

t = 1 year

Therefore,

A = 6000(1 + 0.09/1)^1 × 1

A = 6000(1.09)

A = $6649

b) t = 2 years

A = 6000(1.09)^2

A = $7128.6

lara [203]3 years ago
3 0

Answer:

  • $6540.00
  • $7128.60

Step-by-step explanation:

Each year, the balance is multiplied by (1+r) where r is the annual interest rate.

(a) Balance at the end of year 1:

  $6000×1.09 = $6540

(b) Balance at the end of year 2:

  $6540×1.09 = $7128.60

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If the mean of symmetrical distribution is 28, which of these values could be the median of the distribution.
lina2011 [118]
If a distribution is symmetric, its mean is the same as its median, so the median would also be 28.
6 0
3 years ago
At which value in the domain does f(x) = 0?
bekas [8.4K]

Answer:

C

Step-by-step explanation:

f(x)=0 at points of intersection of the graph of the function with x-axis.

From the diagram you can see that the graph of the function intersects x-axis at three points:

somewhere between -3 and -2;

somewhere between -1 and 0;

at x=1.

Since x=1 is the value of x from the domain, then correct choice is option C.

5 0
3 years ago
A ball, thrown vertically upwards, from the ground, has its height h (in meters) expressed as a function of time t (in seconds),
Over [174]

Answer:

a. 15 meters.

b. 20 meters.

Step-by-step explanation:

a. The height of the ball at 3 seconds. 20 * 3 - 5 * (3)^2 = 60 - 5 * 9 = 60 - 45 = 15.

The ball will be 15 meters high.

b. The maximum height reached by the ball.

To get that, we need to find the vertex of the parabola. We do so by doing -b/2a to find the x-coordinate of the vertex.

In this case, a = -5 and b = 20.

-20 / 2(-5) = -20 / -10 = 20 / 10 = 2.

Then, we find the y-coordinate by putting 2 where it says "t".

h(2) =  20(2) - 5(2)^2 = (40) - 5(4) = 40 - 20 = 20 meters.

Hope this helps!

5 0
3 years ago
Read 2 more answers
Help needed with all pls
Olenka [21]
#5 is 5 days
40×5=200
200+150=250

20×5=100
100+150=250
3 0
3 years ago
Solve: -4.878-(-8.96)=
Pepsi [2]
-4.878-(-8.96) can be changed to -4.878 + 8.96 because when you subtract a negative it becomes a positive so the answer would be 4.082 or B
7 0
3 years ago
Read 2 more answers
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