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ira [324]
3 years ago
9

$100 is deposited at the end of every week for five years in an account that pays 14%/a, compounded weekly.

Mathematics
1 answer:
Monica [59]3 years ago
5 0
Any answer thingys? :/
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A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day
-BARSIC- [3]

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

A(t) = A(0)e^{-kt}

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

A(t) = A(0)e^{-0.1392t}

Find the substance's half life, in days.

This is t for which A(t) = 0.5A(0). So

A(t) = A(0)e^{-0.1392t}

0.5A(0) = A(0)e^{-0.1392t}

e^{-0.1392t} = 0.5

\ln{e^{-0.1392t}} = \ln{0.5}

-0.1392t = \ln{0.5}

t = -\frac{\ln{0.5}}{0.1392}

t = 4.98

The substance half-life is of 4.98 days.

5 0
2 years ago
Which congruence theorem can be used to prove WXS and YZS?
mariarad [96]

I am going to make what is hopefully not an incorrect assumption and say that since the segmentXSZ is black and the other lines are blue, that XS is congruent to ZS. If that be the case we have a side in each triangle that is congruent to each other and an angle that is marked as congruent. Angles XSW and ZSY are vertical angles. By definition, vertical angles are congruent. In each triangle, then, we have an angle, a side and an angle which gives us the congruency postulate ASA.

3 0
3 years ago
Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only) A right triangl
andriy [413]
For this case we have the following trigonometric relationship:
 cos (y) = 8/13
 Clearing the value of and we have:
 y = Acos (8/13)
 Calculating the angle we have:
 y = 52.02012756 degrees
 Rounding off we have:
 y = 52.02 degrees
 Answer:
 
the measure of angle and is:
 
y = 52.02 degrees
4 0
3 years ago
Read 2 more answers
What directed number is suggested by the statement "I gained 3 pounds "?​
sammy [17]

Answer:

The directed number suggested is +3.

Step-by-step explanation:

A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.

From the given question, let the initial weight be represented by W, then:

I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.

i.e I gained 3 pounds ⇒ W + 3

So that the directed number suggested by the statement is +3.

7 0
3 years ago
PLS HELP PLS I DONT FEEL LIKE DOING IT BRAIN IF CORRECT DUE RIGHT NOW
Vikentia [17]

Answer:

See Below

Step-by-step explanation:

1) 180 ft / 6 sec

To find a unit rate, you need to have a denominator of 1 and to to do that, you can divide the numerator and denominator by the same number, in this case: 6.

30 ft / 1 sec

2) 86 mi / 5 hr

Same as above^(except dividing by 5)

17.2 mi / 1 hr

3) 83 mi / 5 hr

Same as above^^

16.6 mi / 1 hr

We can rewrite this as: 16.6 mph

4) 93 mi / 5 hr

Same as above^^^

18.6 mi / 1 hr

5) 150 mi / 4 hr

Same as above^^^^

37.5 mi / 1 hr

We can rewrite this as: 37.5 mph

8 0
2 years ago
Read 2 more answers
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