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wlad13 [49]
3 years ago
12

N circle Y, what is m∠1? 6° 25° 31° 37°

Mathematics
2 answers:
sergiy2304 [10]3 years ago
4 0

Answer: the answer is 31

spayn [35]3 years ago
3 0

Answer:

31

Step-by-step explanation:

add the 2 angles given

37 + 25 = 62

then take half of that 62/2 = 31

angle 1 = 31 degrees

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Fifteen years ago, you deposited $12,500 into an investment fund. Five years ago, you added an
True [87]

Answer:

a) 8.16%

b) $65,762.50

c) $39,701.07

Step-by-step explanation:

Given:

15 years ago, Initial investment = $12500

5 years ago, Investment = $20000

Nominal interest = 8% semi annually for first 10 years

Interest2= 6.5% compunded annually for last five years

a) for the effective annual interest rate (EAR) in the first 10 years, let's use the formula:

[1+(nominal interest rate/number of compounding periods)]^ number of compounding periods-1

EAR = [1 + (\frac{0.08}{2})]^2 - 1

= (1 + 0.04)^2 - 1

= (1.04)^2 - 1

= 1.0816 - 1

= 0.0816

= 8.16%

The effective annual interesting rate, EAR = 8.16 %

b) To find the amount in my account today.

Let's first find the amount for $12500 for 10 years compounded semi annually

= 12,500 +( 12,500 * 8.160% * 10)

= $ 22,700

Let's also find the amount for $32,500($12,500+$20,000) for 5 Years compoundeed annually

$32,500 + ($32,500 * 6.5% *5)

= $ 43,062.50

Money in account today will be:

$22,700 + $43,062.50

= $65,762.50

c) Let's the amount I should have invested to be X

For first 10 years at 8.160%, we have:

Interest Amount = ( X * 8.160% * 10 ) = 0.8160 X

For next 5 years at 6.5%, we have:

Interest Amount = (X * 6.5% * 5) = 0.325 X

Therefore the total money at the end of 15 Years = 85000

0.8160X + 0.3250X + X = $85,000

= 2.141X = $85,000

X = 85,000/2.141

X = 39,701.074 ≈ $39,700

If I wish to have $85,000 now, I should have invested $39,700 15 years ago

7 0
3 years ago
Solve for x in terms of y: 5y = 3x + 2
Ipatiy [6.2K]

Answer:

3/5

Step-by-step explanation:y

put in slop intersect form y=3/5x  +   2/5  =  3/5

4 0
3 years ago
Each year the school purchases agendas, this year the school sold 350 agendas at the cost of $1.137.50. If the school wants a pr
choli [55]
If they sell the same amount next year and want to reach $1,500, they must higher the price. to do that, they can divide the $1500 by the number of agendas. Do the math yourself, its not very hard.
8 0
3 years ago
A)<br> 4x -1<br> =X+7<br> 2<br> b) 3x +2=<br> 2x +13<br> 3<br> +<br> I<br> +
horsena [70]

Answer:

a is x=7.5 b is x=1

Step-by-step explanation:

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3 0
3 years ago
Solve 25 = 5x − 4.<br><br> one half<br> 2<br> 4<br> 6
swat32

Answer:

29/5 =x

Step-by-step explanation:

25 = 5x − 4

Add 4 to each side

25+4 = 5x − 4+4

29 = 5x

Divide each side by 5

29/5 = 5x/5

29/5 =x

3 0
2 years ago
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