Answer:
a) growth
b) $500
c) 6% = 0.06
d) 
e) $595.51
Step-by-step explanation:
<u />
<u>Part (a)</u>
Exponential GROWTH, since interest is applied to the account each year.
<u>Part (b)</u>
Initial amount = $500
<u>Part (c)</u>
Growth factor = 6% = 0.06 (in decimal form)
<u>Part (d)</u>
General form of exponential growth function:

where:
- a = initial amount
- r = rate of growth (in decimal form)
- x = time (in years)
Given:


<u>Part (e)</u>
when x = 3

Answer:
420 inches
Step-by-step explanation:
There are twleve inches in one foot.
(35) (12) = 420
We know that:
C=πd Were π(pi)=3,14... and d=diameter
We know that the radious is 2d, so we aply this to the formula and we get that:
C=2πr
Answer:
L = 97, w = 27
Step-by-step explanation:
The perimeter formula is P = 2L + 2w. We have too many unknowns simply to plug in, so we have to find a way to identify one in terms of the other. The statement is that the length is 16 feet more than 3 times the width, so the length is in terms of the width and can be identified as
L = 3w + 16
and the width, then, is just w. Now we can fill in those 2 values, both in terms of w, and set it to equal the perimeter value we were given of 248:
2(3w + 16) + 2w = 248 and
6w + 32 + 2w = 248 and
8w + 32 = 248 and
8w = 216 so
w = 27
That means that the width is 27. Use that value of w now to find the length where
L = 3w + 16.
L = 3(27) + 16 and
L = 97
Answer:
Ann sold 124 bottles of drinks in the morning
Step-by-step explanation:
Let
x ---> bottles sold in the afternoon
y ---> bottles sold in the morning
we know that
Ann sold 314 bottles of drinks a day
so
-----> equation A
She sold 66 bottles more in the afternoon than in the morning
so
----> equation B
substitute equation B in equation A

solve for y

therefore
Ann sold 124 bottles of drinks in the morning