Answer:
(a) A = 700×1.015^t
(b) 36.2 years
Step-by-step explanation:
(a) Each year, the account value is multiplied by (1 + 1.5%) = 1.015. Repeated multiplication is signified using an exponent. In t years, when the account has been multiplied by 1.015 t times, the account value will be ...
A = $700×1.015^t
__
(b) You want to find t when A=$1200. Logarithms are involved.
1200 = 700×1.015^t . . . . use 1200 for A
1200/700 = 1.015^t . . . . . divide by 700
log(12/7) = t×log(1.015) . . . . . take logarithms
log(12/7)/log(1.015) = t ≈ 36.2 . . . . divide by the coefficient of t
It will take about 36.2 years for the account balance to reach $1200.
<span>The answer would be: an = 10( one half )n − 1; average rate of change is </span><span>negative fifteen halves.
</span><span>This question is about exponent function/series. You are given 3 points from the function, point A (1,10), point B( 2, 5) and point C(4,1.25).
If you insert point A to the function, </span><span>an = 10( one half )^n − 1 </span>will give a result of 10 for n=1.
For n=0, the result would be:
an = 10( one half )^n − 1
an= 10(1/2)^0-1
an= 10(1/2)^-1= 10* 2= 20
Then the average rate of change from n=0 to n=2 would be:
Rate of change= (y2-y1)/ (x2-x1)
Rate of change= (5-20)/ (2-0)= -15/2= <span>negative fifteen halves</span>
Answer:
the wire is 24 meters long , rounded to the nearest tenth it's 20 .
Hello!
To find the area, we use the formula A=pir², where pi=3.14 and r= the radius.
To solve, we find half of the diameter, which is the radius. Half of 53 is 26.5. We square this number and then multiply it by pi. 26.5·26.5=702.25. Now we multiply by pi. 702.25·3.14=2,205.065.
Our final answer is about 2,205.1 cm².
I hope this helps!
Answer:
A BD
Step-by-step explanation:
A diameter has to go through the center and reach the outside of the circle on both ends.
BOD is a diameter
We can call it
DB