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2 years ago

Lowest common denominator of 3 5/7 and 4 4/5

Mathematics

1 answer:

IrinaK [193]2 years ago

6 0

Answer: look at the screenshot

Step-by-step explanation:

it has everything you need

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When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100

ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the future value FV.

In order to see the rule of formation, let's see the value (in $) for the first few years

End of year 0

1,000

End of year 1(capital + interest + new deposit)

1,000*(1.09)+10

End of year 2 (capital + interest + new deposit)

(1,000*(1.09)+10)*1.09 +10 =

$\bf 1,000*(1.09)^2+10(1+1.09)$

End of year 3 (capital + interest + new deposit)

$\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)$

and we can see that at the end of year 50, the future value is

$\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}$

The sum

$\bf 1+1.09+(1.09)^2+...+(1.09)^{49}$

is the sum of a geometric sequence with common ratio 1.09 and is equal to

$\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356$

and the future value is then

$\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564$

The present value PV is

$\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62$

rounded to the nearest hundredth.

5 0

2 years ago

How to factor 4x^2+4x+1 completely? I already solved it to be (2x+1)^2 but I am not sure of the method (difference of squares, p

ziro4ka [17]

Answer:

Trinomial can not be factored

Step-by-step explanation Equation at the end of step 2 : 4x 2 - 2x - 1 = 0 Step 3 : Parabola, Finding the Vertex : 3.1 Find the Vertex of y = 4x 2-2x-1 Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum)

7 0

2 years ago

A book exhibition was held for four days in a schoolthe number of tickets sold at the counter on the first secend third and four

bija089 [108]

Answer:

7707 tickets

Step-by-step explanation:

From the question we know that:

the number of tickets sold at the counter on

First day = 1094 tickets

Second day = 1812 tickets

Third day = 2050 tickets

Fourth day = 2751 tickets

The total number of tickets sold on all the four days is calculated as:

(1094 + 1812 + 2050 + 2751)tickets

= 7707 tickets

7 0

2 years ago

Grant is painting a rectangular board that has a width of foot. He has enough paint to cover 3 square feet. If he is able to cov

Daniel [21]

I think that would be 1 by 3 feet

3 is my answer

4 0

2 years ago

What is 1/5 divided by 1 2/5

rodikova [14]

Answer:

1/7

Step-by-step explanation:

so 1/5 divided by 7/5 is 1/5 times 5/7, which is 1/7

8 0

2 years ago

Read 2 more answers

Lowest common denominator of 3 5/7 and 4 4/5￼￼

Lowest common denominator of 3 5/7 and 4 4/5