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Ierofanga [76]
3 years ago
9

Devaughn is 13 years younger than Sydney. The sum of their ages is 79 . What is Sydney's age?

Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Answer:

26

Step-by-step explanation:

Let D =Devaughn's age

S= Sydney's age

So D+S=64

D=S+12

Now

D+S=64⇒D=64−S

and so

S+12=64−S 2S=52

S=26

Therefore

D=S+12

D=38

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Estimate the sum 7.36 + 9.47​
arsen [322]

Answer:

16.83

Step-by-step explanation:

7.36

+ 9.47

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16.83

4 0
3 years ago
Compound interest In Exercise,$3000 is invested in an account at interest rate r,compounded continuously.Find the time required
xenn [34]

Answer:

(a) 8.15

(b) 12.92

Step-by-step explanation:

Given: P = $3000, r = 0.085

                A = Pe^{rt}

Where

A is the Amount

P is the Principal

r is the rate

t is the time

(a) For the amount to double, A = 2 × P

               A = 2 × $3000

               A = $6000

               6000 = 3000e^{0.085t}

               \frac{6000}{3000} = e^{0.085t}

               2 = e^{0.085t}

Take log_{e} of both sides

               log_{e}2 = log_{e}e^{0.085t}

But log_{e}e = 1

            ∴ ln2 = 0.085t

               t = \frac{ln2}{0.085}

               t = \frac{0.693}{0.085}

               t = 8.15

(b) For the amount to double, A = 3 × P

               A = 3 × $3000

               A = $9000

               9000 = 3000e^{0.085t}

               \frac{9000}{3000} = e^{0.085t}

               3 = e^{0.085t}

Take log_{e} of both sides

               log_{e}3 = log_{e}e^{0.085t}

But log_{e}e = 1

            ∴ ln3 = 0.085t

               t = \frac{ln3}{0.085}

               t = \frac{1.0986}{0.085}

               t = 12.92

5 0
3 years ago
URGENT PLEASE HELP ME, ITS DUE IN A HOUR ​
Olegator [25]

Answer:

Area of gray region = 8x^2+8x-7

Step-by-step explanation:

The area covered by the furniture can be subtracted from the total area of the room to calculate the area of the gray region.

<em>Total</em> area of the room: 13x^2+7x-2

Area taken up by furniture: 5x^2-x+5

Area of gray region = total area of the room - area taken up by furniture

Area of gray region = 13x^2+7x-2-(5x^2-x+5)

Remember to distribute the negative sign:

Area of gray region = 13x^2+7x-2-5x^2+x-5

Combine like terms:

Area of gray region = 8x^2+8x-7

7 0
3 years ago
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What is 300 is 10 times as much as
Over [174]
30 because 30x10=300
5 0
3 years ago
Determine the range of the function $f(x) = -4x^2-8x-6$. Enter your answer in interval notation.
saveliy_v [14]

Answer:[tex]y=-4x^2 -8x-6

Step-by-step explanation:

6 0
3 years ago
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