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Katyanochek1 [597]
3 years ago
15

A total of $37185 is invested at an annual interest rate of 2% compounded quarterly. Find the balance after 11 years.

Mathematics
1 answer:
vazorg [7]3 years ago
8 0
A=37,185×(1+0.02÷4)^(4×11)
A=46,309.97
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Help me please, kinda lost
Dmitry_Shevchenko [17]

Answer:

400cm^2

Step-by-step explanation:

For this question, you need to find the surface areas of both objects, then add them together.

For the cube:

56cm for the front

56cm for the back

42cm for the side

42cm for the other side

48cm for the top

48cm for the bottom

SA for the cube: 292cm^2

For the triangle, things are a little different. We do the same process that we did to find the SA of the cube, but we do not have to find the SA of the top side (because there isn't a top side) and we have to divide the total SA by 2 because it's a triangle.

For the triangle:

42cm for the front

42cm for the back

54cm for the slanted side

42cm for the other side

36cm for the bottom

SA for the triangle: (216/2)^2=108cm^2

292+108=400cm^2

the SA of the composite figure is 400cm^2

8 0
3 years ago
Let f(x)=−12(x+2)2+5 . What is the average rate of change for the quadratic function from x=−3 to x = 1?
aev [14]

Answer:

Average rate of change = -6

Step-by-step explanation:

The average rate of change over the interval (a,b) is given by;

[ f(b) - f(a)] / (b-a)........................where interval is (a,b)

(a,b) interval =(-3,1)

Where;

f(x)= -12 (x+2)² +5

f(a)=f(-3)=-12(-3+2)^2+5\\f(a)=f(-3)=-12(-1)^2+5\\f(a)=f(-3)=-12(1)+5\\=-12+5=-7\\\\\\f(b)=f(1)=-12(1+2)+5\\f(b)=f(1)=-12(3)+5\\=-36+5=-31\\\\f(b)-f(a)=-31--7=-24\\\\b-a=1--3=4\\\\f(b)-f(a)/b-a=\frac{-24}{4} =-6

5 0
2 years ago
What is the area of this shape?
Dovator [93]

Answer:

The area of this shape equals 30cm^{2}

Step-by-step explanation:

From the diagram, we can see that this shape is a parallelogram  (since opposite sides are equal to each other). The formula for the area of the parallerlogram is as follows:

Area = bh (where "b" is the base, and "h" is the height).

And so we get...

Area = bh = (10)(3) = 30cm^{2}

3 0
2 years ago
When you flip a biased coin the probability of getting a tail is 0.34. Find the probability of getting a head.
koban [17]

Answer:

If you want to know what the probability is to get at least one Heads, then that is the same as the probability of all the events (100%, or 1) minus the probability of getting all Tails.

There are 100 coins. 99 are fair, 1 is biased with both sides as heads. With a fair coin, the probability of three heads is 0.53=1/8. The probability of picking the biased coin: P(biased coin)=1/100.

Step-by-step explanation:

5 0
2 years ago
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I plan to sell lemonade. If I spend $15 on products and then plan on selling glasses for $2 each, how many glasses do I need to
Helga [31]
8 glasses in order to make money because if you sell each glass for $2 times that by 8 it’s $16
3 0
3 years ago
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