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Art [367]
3 years ago
6

BRAINLIEST if correct

Mathematics
1 answer:
Mila [183]3 years ago
4 0

Answer:

A=38.88 or 38.9

Step-by-step explanation:

If both are similar then the 9 and the 7.2 are the same

9-7.2= 1.8

9x6=54

7.2-1.8=5.4

7.2x5.4=38.88 or 38.9

You might be interested in
Find all the missing parts to the triangle below.
vivado [14]

using the law of sines, you can say that f=28 units. Hope this helps


3 0
4 years ago
Dave has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly. How much money w
ioda

Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

Step-by-step explanation:

The given is,

                 Investment = $ 8000

               No. of years = 15 years

             Interest rate, i = 3.1 %

                 ( compounded monthly )  

Step:1

          For for calculating future value with compound interest monthly,

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

         Where,

                     A = Future amount

                     P = Initial investment

                     r = Rate of interest

                    n = Number of compounding in a year

                     t = Time period

Step:2

           From given values,

                           P = $8000

                            r =  3.1%

                            t = 15 years

                            n = 12 ( for monthly)

           Equation (1) becomes,

                          A = 8000( 1+\frac{0.031}{12} )^{(12)(15)}

                              = 8000 (1+0.002583)^{180}

                              = 8000(1.002583)^{180}

                              = 8000(1.591059)

                              =12728.48

                           A = $ 12728.48

Result:

           Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

                             

       

8 0
4 years ago
Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ? ​
bearhunter [10]

Answer:

\sf \log_{10}6=0.7781

Step-by-step explanation:

<u>Given</u>:

\sf \log_{10} 2 = 0.3010

\sf \log_{10} 3 = 0.4771

To find log₁₀ 6, first rewrite 6 as 3 · 2:

\sf \implies \log_{10}6=\log_{10}(3 \cdot 2)

\textsf{Apply the log product law}: \quad \log_axy=\log_ax + \log_ay

\implies \sf \log_{10}(3 \cdot 2)=\log_{10}3+\log_{10}2

Substituting the given values for log₁₀ 3 and log₁₀ 2:

\begin{aligned} \sf \implies \log_{10}3+\log_{10}2 & = \sf 0.4771+0.3010\\ & = \sf 0.7781 \end{aligned}

Therefore:

\sf \log_{10}6=0.7781

Learn more about logarithm laws here:

brainly.com/question/27953288

brainly.com/question/27963321

5 0
2 years ago
Read 2 more answers
40 POINTS AND BRAINLIEST
ladessa [460]

Answer:

120

Step-by-step explanation:

As x goes from 1 to 2, y increases by 4 from 4 to 8

As x goes from 2 to 3, y increases by 4 from 8 to 12

We increase by 4 each time

The formula for an arithmetic sequence is

an = a1+d(n-1)

where a1 is the first term which is 4

d is the common difference or the number we add each time which is 4

n is the term we are looking for which is 30

a30 = 4 +4 (30-1)

a30 = 4+4(29)

       = 4+116

      = 120

5 0
3 years ago
Read 2 more answers
) 10 counters in a bag. 4 red, 3 green, 2 pink and 1 blue. Ella picks a counter at random from the bag, notes the colour and the
Fofino [41]

Answer:

a) i) The probability depends on the total number of counters not on the number of colors.

  ii) There are 10 number of counters not 4

b) \dfrac{3}{10}

Step-by-step explanation:

Given that:

Total number of counters in a bag = 10

Number of red counters = 4

Number of green counters = 3

Number of pink counters = 2

Number of blue counters = 1

a) Ella writes: "There are four colors, so the probability of selecting a green is \frac{1}4 + \frac{1}4 = \frac{2}4 , so the probability is \frac{1}2"

Ella has considered the total type of counters here, which is 4.

But Ella must have considered total number of counters which is 10.

  i) The probability depends on the total number of counters not on the number of colors.

  ii) There are 10 number of counters not 4

b) There are 4 colors in the bag.

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

To select 2 counters of the same color:

P(2\ red) = \dfrac{4}{10}\times \dfrac{4}{10} = \dfrac{16}{100}

P(2\ green) = \dfrac{3}{10}\times \dfrac{3}{10} = \dfrac{9}{100}

P(2\ pink) = \dfrac{2}{10}\times \dfrac{2}{10} = \dfrac{4}{100}

P(2\ blue) = \dfrac{1}{10}\times \dfrac{1}{10} = \dfrac{1}{100}

The required probability will be the sum of all 4 above probabilities:

P(2\ of\ same\ color) = \dfrac{30}{100} = \bold{\dfrac{3}{10} }

6 0
3 years ago
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