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navik [9.2K]
3 years ago
6

Please help me with this

Mathematics
1 answer:
scoundrel [369]3 years ago
6 0

9514 1404 393

Answer:

  106 m

Step-by-step explanation:

The law of sines is useful.

The angle opposite the given side of 50 m is ...

  180° -83° -69° = 28°

Then the distance (d) opposite the 83° angle is ...

  d/sin(83°) = (50 m)/sin(28°)

  d = (sin(83°)/sin(28°))×(50 m) = 105.709 m

The ball is about 106 meters from the pin.

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A man invests a total of $9,493in two savings accounts. One account yields 9% simple interest and the other 10% simple interest.
Tju [1.3M]

$ 1850 was invested in 9% account

<u>Solution:</u>

Given that  

Total amount invested by man in two saving accounts = $9493

Simple interest on one account =9%

Simple interest on second account = 10%

Total interest earned = $930.80

Need to determine amount invested in 9 % account.

Let assume amount invested in account where Simple Interest is 9% = x

And assume amount invested in account where Simple Interest is 10% = y

As total amount invested in two accounts is $9493

=> x + y = 9493      

=> y = 9493 - x                              ------(1)

\text { Simple Interest }=\frac{\text { Amount Invested } \times \text {rate of interest } \times \text {time}}{100}

\begin{array}{l}{\text { Simple interest when rate of interest is } 9 \%=\frac{x \times 9 \times 1}{100}=\frac{9 x}{100}} \\\\ {\text { Simple interest when rate of interest is } 10 \%=\frac{y \times 10 \times 1}{100}=\frac{10 y}{100}}\end{array}

As total interest earned = $930.80

\begin{array}{l}{\Rightarrow \frac{9 x}{100}+\frac{10 y}{100}=930.80} \\\\ {\Rightarrow 9 x+10 y=930.80 \times 100} \\\\ {\Rightarrow 9 x+10 y=93080}\end{array}

On substituting value of y from equation(1) in above equation , we get

9x + 10 (9493 – x) = 93080

=> 9x  + 94930 – 10x = 93080

=> -x = 93080 – 94930

=> -x = -1850

=> x = 1850  

Amount invested in account where Simple Interest is 9% = x  = $1850

Hence $1850 was invested in 9% account.

5 0
3 years ago
What is the answer for each sentence
Harman [31]

Answer:

1. surface area, 2. volume. 3. surface area, 4. volume

Step-by-step explanation:

The stain means it's just the surface of the box, and not what can go in it.

the question is asking how many shoe boxes can fit IN

5 0
3 years ago
2+1/6y=3x+4 solve for y
sertanlavr [38]
<span>2+1/6y=3x+4 solve for y
</span>
Answer y=18x+12
6 0
3 years ago
Read 2 more answers
What is the answer to 4x+y=10
Alina [70]

Answer:

y = -4x + 10

Step-by-step explanation:

I am going to assume you are trying to write the equation of a line.

4x + y = 10

4x - 4x + y = 10 - 4x

y = -4x + 10

7 0
3 years ago
Maisha has 3(x+2) hours reading a book 8x-5 hours sleeping and 2x hours playing.How many hours did she spend in all of these act
Mandarinka [93]
Add all the activities together

=3(x+2) + (8x-5) + 2x
multiply 3 by all in parentheses
=(3*x) + (3*2) + (8x-5) + 2x
=3x + 6 + 8x - 5 + 2x
combine like terms
=(3x + 8x + 2x) + (6 - 5)
=13x + 1

ANSWER: 13x + 1

Hope this helps! :)
6 0
3 years ago
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