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Ira Lisetskai [31]
2 years ago
13

How do you Divide 61,986 ÷23

Mathematics
1 answer:
Minchanka [31]2 years ago
6 0

Answer:

2695.04348

Well, I don't want to do ALL of the work but I'll give you an idea of how I got it:

First, ask yourself, "How many times does 23 go into 61?" which is the same thing as 61 divided by 23.

23 times 2 equals 46. I chose this number because 23 times 3 equals 69 and that is too much.

(The first digit is 2)

So 61 minus 46 equals 15. Then you bring down the 9 and divide 159 by 23.

23 times 6 is 138 and the closest you will get. Again, 159 minus 138 equals 21.

(Now the second digit of the answer is 6)

Bring down the 8 to get 218. 218 divided by 23 equals 9 (well, not exactly, but you get what I mean). 23 times 9 equals 207. 218 minus 207 equals 11.

(Don't forget, the third digit in the answer is now 9)

Keep doing this until you get your final answer, which I already gave you at the top to double check. When you reach the last number of 61,986 (which is 6), go into the decimal place and keep on working from there.

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The sum of two numbers is 40, and their difference is 8. Find the numbers.
Fudgin [204]
x+y=40\\
x-y=8\\
-----\\
2x=48\\
x=24\\\\
24+y=40\\
y=16
3 0
3 years ago
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Find the measure of the indicated arcs or central angles in OA. DG is a diameter.
lara31 [8.8K]

Answer:

Arc DE = 90°

m<GAB = 82°

Arc DC = 49°

Step-by-step explanation:

Given:

m<EAF = 74°

m<EAD = right angle = 90°

Arc BG = 82°

Required:

Arc DE,

<GAB, and

Arc DC

Solution:

Recall that the central angle measure = the intercepted arc measure.

Therefore:

✔️Arc DE = m<EAD

Arc DE = 90° (Substitution)

✔️m<GAB = arc BG

m<GAB = 82° (Substitution)

✔️Arc DC = m<CAD

Find m<CAD

m<CAD = ½(180 - m<GAB)

m<CAD = ½(180 - 82)

m<CAD = 49°

Arc DC = m<CAD

Arc DC = 49°

6 0
2 years ago
How do I solve |5-3p|+9=13p+8
anastassius [24]

Answer:

p = -2/5 or 3/8

Step-by-step explanation:

|5 − 3p| + 9 = 13p + 8

|5 − 3p| = 13p − 1

If 5 − 3p is positive:

5 − 3p = 13p − 1

6 = 16p

p = 3/8

If 5 − 3p is negative:

-(5 − 3p) = 13p − 1

-5 + 3p = 13p − 1

-4 = 10p

p = -2/5

Alternatively, we can square both sides of the equation:

(5 − 3p)² = (13p − 1)²

25 − 30p + 9p² = 169p² − 26p + 1

0 = 160p² + 4p − 24

0 = 40p² + p − 6

0 = (5p + 2) (8p − 3)

p = -2/5 or 3/8

8 0
3 years ago
!!!!!!!!!!! Help (Measuring Angles)
lana [24]

Answer:

Angle DGF = DEF

Step-by-step explanation:

Since all the angles are congruent in the diagram and the hypothenuses are both congruent, it makes the other triangle, DEF congruent to DGF.

In other words, sense all 3 angles are congruent and they share a side, DEF is congruent to DGF.

3 0
3 years ago
The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont
anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

<u>a)</u><u> The preset value equation is given by this formula:</u>

P=\int^{T}_{0}f(t)e^{-rt}dt

where:

  • T is the period in years (T = 10 years)
  • r is the annual interest rate (r=0.08)

So we have:

P=\int^{T}_{0}(0.01t+100)e^{-rt}dt

Now we just need to solve this integral.

P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt

P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}

P=0.30+688.34=688.64 $

The present value is 688.64 $

<u>b)</u><u> The accumulated amount of money flow formula is:</u>

A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P

A=e^{0.08\cdot 10}688.64=1532.60 $

The accumulated amount is 1532.60 $

Have a nice day!

6 0
3 years ago
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