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Whitepunk [10]
3 years ago
11

{15÷[(6+9)÷5]+3}= show work please

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0
PEMDAS come on boi

6+9 = 15
15/5 = 3
15/3 = 5
5 + 3 = 8

8

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A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5
liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

Q(t) = Q(0)e^{rt}

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that Q(5730) = 0.5Q(0)

So

Q(t) = Q(0)e^{rt}

0.5Q(0) = Q(0)e^{5730r}

e^{5730r} = 0.5

\ln{e^{5730r}} = \ln{0.5}

5730r = \ln{0.5}

r = \frac{\ln{0.5}}{5730}

r = -0.00012

So

Q(t) = Q(0)e^{-0.00012t}

How old is the fossil?

This is t for which

Q(t) = 0.8Q(0)

So

Q(t) = Q(0)e^{-0.00012t}

0.8Q(0) = Q(0)e^{-0.00012t}

e^{-0.00012t} = 0.8

\ln{e^{-0.00012t}} = \ln{0.8}

-0.00012t = \ln{0.8}

t = -\frac{\ln{0.8}}{-0.00012}

t = 1860

The fossil is 1860 years old.

4 0
3 years ago
Logan took out $23,400 in student loans to attend college at a compound interest rate of 5%. He deferred payments for two years.
blagie [28]

Answer:

$25,740

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 23400 × 0.05 × 2 = 2340

I = $ 2,340.00

The simple interest accumulated

on a principal of $ 23,400.00

at a rate of 5% per year

for 2 years is $ 2,340.00.

8 0
3 years ago
There is a sale on the 3D doodler it is now only $83 It was originally $95 what percent did the 3D doodler decrease
Furkat [3]
Just divide then subtract

95/83= 1.14= move decimal to right one time so it would be 11.4 then subtract 11.4 from 95= 95-11.4= about $83.55
7 0
3 years ago
Read 2 more answers
What is the angle in a triangle that is part of a linear pair? i will give 15 points im desperate
gogolik [260]

Answer:  Linear pairs of angles add up to 180 degrees. A+B=180

Step-by-step explanation: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees

7 0
3 years ago
The graph of the function f(x) = x3 – 7x – 6 intersects the x-axis at the points (–2, 0), (–1, 0), and (3, 0) as shown. Which ex
Alisiya [41]
The x-axis intercepts are the roots of the polynomial. So, the roots are x = - 2, x = - 1 and x = 3.

Therefore, the polynomial can be factored as:

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