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Andru [333]
3 years ago
6

Identify the slope and Y intercept of the following graph

Mathematics
1 answer:
azamat3 years ago
8 0

The slope is 3x and the y intercept is 2 so it should be written like y=3x+2

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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
Barney has 16 1/5 yards of fabric. To make an elf costume, he needs 5 2/5 yards of fabric. How many costumes can Barney make?
AURORKA [14]
Total yards if fabric /fabric needed to make an elf costume
therefore 16 1/5 ÷ 5 2/5
=3
so Barney can make 3 costumes out of 16 1/5 yards of fabric
8 0
3 years ago
Read 2 more answers
Add −1.25+2.5<br><br> Plot the first addend and the sum on the number.<br> Please tell the explain
Assoli18 [71]
If signs are different you subtract. So 2.5- -1.25 equals 1.25 and keep the sign of the biggest number
7 0
2 years ago
I need to model 2 equivalent fractions for 6 fifths
masha68 [24]
Six fifths = \frac{6}{5}.
You can multiply the numerator and denominator by any number to find an equivalent fraction. 
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Hope that helped you.
3 0
3 years ago
The steps to simplify the expression 5÷1 over 100 times-0.7 times -20 oh shown below with one missing step which is the missing
shepuryov [24]

Answer:

Step-by-step explanation:

ppo

8 0
3 years ago
Read 2 more answers
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