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Sholpan [36]
3 years ago
9

For the following compound interest problem, how much interest would you earn if you put $600 in the bank at 5.5% for 2.25 year.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0

Answer:

$74.25

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5.5%/100 = 0.055 per year,

then, solving our equation

I = 600 × 0.055 × 2.25 = 74.25

I = $ 74.25

The simple interest accumulated

on a principal of $ 600.00

at a rate of 5.5% per year

for 2.25 years is $ 74.25.

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The points (6, 9) and (0, 6) fall on a particular line. What is its equation in slope-intercept form?
SashulF [63]

Answer:

y = \frac{1}{2}x + 6

Step-by-step explanation:

Let \ (x _1  y _ 1 ) = ( 6 , 9 )  \ and  \ (x _ 2 , y _ 2 ) \  = ( 0 , 6 )\\\\

Step 1 : Find slope, m

              slope, m = \frac{y _ 2 - y _ 1}{x_ 2 - x_ 1 } = \frac{6 - 9}{0 - 6 } = \frac{-3}{-6} = \frac{1}{2}

Step 2 : Find the equation

                (y - y _ 1 ) = m ( x - x_ 1) \\\\( y - 9 ) = \frac{1}{2} (x - 6 ) \\\\y = \frac{1}{2}x - 3 + 9 \\\\y = \frac{1}{2}x + 6

3 0
3 years ago
Read 2 more answers
A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 1
TEA [102]

Answer:

The correct answer will be "0.3043".

Step-by-step explanation:

The given values are:

\mu = 15

n=41

\sigma^2=25

then,

\sigma=5

If researchers know representative sample n > 30 and default deviation those who use z-test

∴  P(x>15.4)

⇒  1-P(x

⇒  1-P(\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }

⇒  1-P(Z

⇒  1-0.695762

⇒  0.3043

6 0
3 years ago
The sum of two numbers is 5. The difference of two numbers is -1. Find the numbers
Drupady [299]

Answer:

The numbers are 2 and 3.

Step-by-step explanation:

The smaller number would have been 1 less than the bigger number so that if for example the smaller number is 1 and the bigger number is 2, their difference would have been 1-2 = -1

5 is an odd number so if it were to be divided into two integers, one would be more than the other, namely 2 and 3.

If you double-check their difference:

2-3 = -1

Thus, the two numbers are 2 and 3.

6 0
3 years ago
Read 2 more answers
An orange grower find that she gets an average yield of 40 bushels per tree when she plants 20 trees on an acre of ground. Each
sdas [7]

Answer:

30 trees/acre

Step-by-step explanation:

Let n = the number of trees added to 1 acre

Let Y(n) = the yield in bushels/acre

Yield in bushels/acre = [bushels/tree] x [trees/acre]

Y(n) = (40-n)*(20+n)

       = 800 - 20n + 40n - n^2

       = n^2 + 20n + 800 ---------------------(1)

The n-value of the vertex ( which is a peak )  is given by the formula:

n(max) = -b/2a

Putting values from equation (1) gives us

n(max) = 10

The grower started with 20 tree/acre and adds 10  more for max yield, so she should plant:  30 trees/acre

and

Maximum yield is 900 bushels/acre.

5 0
4 years ago
Tell whether the figure is a polygon. If it is not, explain why. If it is a polygon, tell whether it is convex or concave. (look
Olin [163]

Answer:

First one is second one isn't and the third one is.

Step-by-step explanation:

This is because a polygon is a shape with all sides straight and it is a closed shape.

3 0
4 years ago
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