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ycow [4]
3 years ago
12

X+8>5 is the inequality for my previous question

Mathematics
1 answer:
Alborosie3 years ago
7 0
This is what it tells me.

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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
2 years ago
How do you rewrite fraction 3/8
My name is Ann [436]
As a fraction, it can’t be simplified. As a decimal, it’s 0.375.
7 0
3 years ago
Which of the following inequalities matches the graph? (1 point)
Aleksandr [31]

Answer: 2x + y < 7

Step-by-step explanation:

In the graph we can see that:

The line is a dashed line, and the shaded area is below the dashed line, then we will have something like:

y < a*x + b

We also can see that the slope of the line is negative, and that the y-intercept is +7

Then the inequality will be something like:

y < a*x + 7

Now we can see that the line passes through the points (0, 7) and (3, 1)

Then the slope will be:

a = (1 - 7)/(3 - 0) = -6/3 = -2

that is negative, as we already said.

Then we have:

y < -2*x + 7

we can rewrite this as:

2x + y < 7

This is the first solution shown.

7 0
2 years ago
During the day,Sam spent $4.85 on lunch.he also bought 2 books for $7.95 each. At the end of the day we had $8.20 left how much
Vlada [557]
20.75 because if you add 4.85+7.95+7.95 add that you get 20.75

7 0
3 years ago
Tony has a bag containing five balls: one red, one blue, one
Ratling [72]

Answer:

20 percent

Step-by-step explanation:

100(%) (all 5 balls) ÷ 5 = 20(%)

5 0
3 years ago
Read 2 more answers
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