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-Dominant- [34]
3 years ago
11

Two roads cross at an intersection. If one of the angles created is 50 degrees what’s are the three angles

Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0
50 degrees is one while the other two are 130 degrees
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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
What is the cost of a typewriter that is 18% off the list price of $375 with a sales tax of 5% that must be paid
julsineya [31]

Answer:

The cost is $322.88.

Step-by-step explanation:

18% off the list price of $375

Before the sales tax, you pay 100% - 18% = 82% = 0.82 of 375, so:

0.82*375 = 307.5

5% sales tax:

100% + 5% = 105% = 1.05 of 307.5. So

307.5*1.05 = 322.88

The cost is $322.88.

8 0
3 years ago
I need help answering this question please!
iren [92.7K]
It is the graph of p is steeper than the graph of q.


7 0
3 years ago
A stack of magazines is 4 2/5 inches high. Each magazine is 2/5 inch thick.
oee [108]

Answer:

Equation:(4 2/5)/2/5=? ; estimate: a

little more than 10 magazines; answer:

11 magazines in the stack.

Step-by-step explanation:

7 0
2 years ago
3 gallons But in pints
MakcuM [25]

Answer: 24 pints

Step-by-step explanation:

multiply the volume value by 8

3*8=24

8 0
3 years ago
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