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aalyn [17]
4 years ago
9

5 1/2 % in simplest form

Mathematics
1 answer:
lana [24]4 years ago
6 0
5.5/100 = 55/1000 = 11/200
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1. Marie deposits $125 in a savings account
slava [35]

Answer:

Step-by-step explanation:

The formula for simple interest is

I = Prt

where I is the interest earned, P is the initial deposit, r is the rate in decimal form, and t is the time in years.  For us,

I = 125(.03)(3) which gives us an interest amount of

I = 11.25

To find out how much money she has total after that interest builds up, we add that interest amount to the initial investement amount to get

125 + 11.25 = 136.25

3 0
3 years ago
The angles of an equilateral triangle are all:
professor190 [17]

The angles of an equilateral triangle are always 60°

4 0
3 years ago
Compuneti o problema in baza expresiei numerice: 10,5 × 3 + 25,4 ÷ 2
AVprozaik [17]
Joe has 3 containers of apples.  Each container holds 10.5 pounds of apples.
Joe also has 1 container of pears; the container holds 25.4 pounds but is only half full.  What is the total number of pounds of fruit he has?
6 0
3 years ago
Radioactive Decay
SpyIntel [72]

Answer:

Percentage of (226Ra) after 900 years is 68%

Step-by-step explanation:

Let P(t) be the amount of (226Ra) present at any time t

Half life of (226 Ra) = 1599 years

If P₀ is initial amount of (226 Ra) then after 1599 years

P(1599)=P₀/2

Decay i amount of radioactive substance is related to time t as

\frac{dP}{dt}=kP(t)\\\\\frac{1}{P}\,dP=kdt\\\\Integrating\,\, both\,\,sides\\\\ln|P|=kt+c\\\\P(t)=Ce^{kt}\\\\at \,\, t=0\,\, P(0)=P_{o}\\\\P(0)=Ce^{k0}\\\\P_{o}=C\\\\then\\\\P(t)=P_{o}e^{kt}

To find value of k

at\,\, t=1599\,years\\\\P(1599)=\frac{P_{o}}{2}\\\\then\\\\\frac{P_{o}}{2} =P_{o}e^{k(1599)}\\\\\frac{1}{2} =e^{k(1599)}\\\\ln|\frac{1}{2}|=k(1599)\\\\k=\frac{ln|\frac{1}{2}|}{1599}=-4.3\times 10^{-3}\\\\\implies P(t)=P_{o}e^{-4.3\times 10^{-3}t}\\\\at\,\, t=900 \\\\P(900)=P_{o}e^{-4.3\times 10^{-3}(900)}\\\\P(900)=0.68P_{o}

Percentage of radioactive element is:

Amount after 900 years=\frac{P(900)}{P_{o}}\times 100\\\\=\frac{0.68P_{o}}{P_{o}}\times 100\%\\\\=68\%

3 0
3 years ago
A cooking group made 240 oz of spaghetti sauce to sell at a county fair. The group can pour the sauce into small jars that hold
marshall27 [118]
First, find the function that represents x and y.

x is the number of 8 oz jars
y is the number of 16 oz jars

function: 8x + 16y = 240

x-intercept: y = 0 => 8x = 240 => x = 30 => (30,0)
y-intercept: x = 0 => 16y = 240 => y = 15 => (0, 15)

Answer: (0,15) and (30,0)
 


4 0
3 years ago
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