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Mkey [24]
3 years ago
9

Volume of a polygon

Mathematics
1 answer:
diamong [38]3 years ago
7 0

Answer: The formula for the volume of a polygon is  1/2 x perimeter x apothem

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A garden table and a bench cost S846 combined.The garden table costs $54 less than the bench.What is the cost of the bench?
Aneli [31]

Answer:

The bench costs 450

Step-by-step explanation:

Let t = cost of the table

b = cost of bench

t+b = 846

t = b-54

t+b =846

Substituting t = b-54 into the above equation

b-54 +b =846

Combine like terms

2b -54 = 846

Add 54 to each side

2b-54+54 = 846 +54

2b =900

Divide by 2

2b/2 = 900/2

b =450

The bench costs 450

4 0
3 years ago
Read 2 more answers
Find the time required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, co
sineoko [7]

2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.

Step-by-step explanation:

The given is,

               Initial investment - $5000

               Future amount - $6000

               Interest rate - 7.5% (compounded quarterly)

Step:1

           Formula to calculate the Future amount with compound interest,

                                   F = P(1+\frac{r}{n} )^{nt}...................................(1)

          Where, F - Future amount

                           P - Initial amount

                            r - Rate of interest

                           n - No. of compounding in a year

                            t - Time period

          From given,

                      F = $6000

                      P = $5000

                       r = 7.5%

                       n = 4 (compounded quarterly)

        Equation (1) becomes,

                              6000=5000(1+\frac{0.075}{4} )^{(t)(4)}

                               \frac{6000}{5000} =(1+0.01875)^{4t}

                                 1.2 = (1.01875)^{4t}

         Take log on both sides,

                            log 1.2 = 4(t) log 1.01875

         Substitute log values,

                       0.07918 = 4(t) (0.0080676)

                                      = (t) (0.0322705)

                                   t = \frac{0.07918}{0.0322705}

                                      = 2.45

                                   t ≅ 2.5 years

Result:

         2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.

3 0
3 years ago
In the triangle below, determine the measure of angle C
OverLord2011 [107]
Angle C is 4 square root 11 or in decimals 13.266
8 0
3 years ago
What is the value of y?<br> A. 83<br> B. 89<br> C. 96<br> D. 97
Readme [11.4K]

Answer:

<u>A. 83</u> is the correct option.

Step-by-step explanation:

all angles of a triangle are always equal to 180.

46 + 51 + y = 180

97 + y = 180

180 - 97 = <u>83</u>

Have a nice day! :-)

7 0
2 years ago
I really need help tyy
emmainna [20.7K]
Find the greatest common factor (gcf) in each grade between the girls and boys
in 6th grade the gcf is 8
64/8=8  72/8=9
the largest number of groups that can be made equally would be 8 groups of 8 girls and 8 boys
Hope this helps!!
6 0
3 years ago
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