Answer:
31 years to triple the investment
Step-by-step explanation:
Initial investment = 300
Triple amount that is final amount = 300*3= 900
rate of interest = 3.5 % = 0.035
we need to find out number of years (t)
for compounded continuously we use formula
A is the final amount
P is the initial amount
r is the rate of interest
t is the number of years
Divide both sides by 300
take 'ln' on both sides
ln(3) = 0.035t ln(e)
ln(e)= 1
t= 31.3889
Round to nearest whole number
t= 31 years
D=2n: there are twice as many dimes as nickels.
n+d+q=52: a total of 52 coins, using d from above in this gives you:
n+2n+q=52 combine like terms on left side
3n+q=52 subtract 3n from both sides
q=52-3n
Then you are told that the coins have a total value of $6 which is equal to 600 cents. So we can say:
25q+10d+5n=600 divide all terms by 5
5q+2d+n=120, and from earlier we saw q=52-3n and d=2n so you have:
5(52-3n)+2(2n)+n=120 expanding...
260-15n+4n+n=120 combining like terms
260-10n=120 subtract 260 from both sides
-10n=-140 divide both sides by -10
n=14, since q=52-3n and d=2n
q=(52-3(14))=52-42=10
d=2(14)=28
So there are 10 quarters, 28 dimes, and 14 nickels or as your choices put it:
q=10, d=28, n=14 (the correct answer is d.)
Answer:
2x^2 - 7
we can plug any values of x into this The domain is All Real x.
The graph will be a parabola opening upwards with a minimum value when x = 0 and f(x) will be = -7
so the range is f(x) <= -7 or (-∞, -7]
Answer:
acute angle
Step-by-step explanation:
<h2>
Find the angle</h2>
-an acute angle is less that 90 degrees
-straight angle is 180 degrees
-right angle is 90 degrees
-obtuse angle is an angle more than 90 degrees but less than 180 degrees
by looking at these definitions and the image of the angle . we can notice that the angle is less than 90 degrees hence its an <u>acute angle </u>
Answer:
the second : the angles are congruent and the side lengths are proportional
