The sum formula for a geometric sequaence is:
sum(n) = a1(1-r^n)/1-r
Where n is the number of terms, a1 is the first term and r is the common ratio:
s(8) = 3(1-1/2^8) / (1-1/2)
s(8) = 3(1-1/256) / 1/2
s(8) = 2 253/256 / 1/2
s(8) = 765/128
The answer is C.
Answer:
Step-by-step explanation:
<u>Given:</u>
- I = 5% = 0.05
- t = 2 years
- Let the sum is x.
<u>Simple interest:</u>
<u>Compound interest:</u>
- CI = x*(1 + 0.05)² - x = 1.1025x - x = 0.1025x
<u>The difference is 230:</u>
- 0.1025x - 0.1x = 230
- 0.0025x = 230
- x = 230/0.0025
- x = 92000
Answer:
2 quarts are poured into 10 cups
= 2/10 quarts
Answer:
The equation for the trend line would be y = -1/100x + 25
Step-by-step explanation:
In order to find the trend line, we first need to find the slope. To do so, we need to find two points on the line. The points we'll use are (0, 25) and (2500, 0). Next, we use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (0 - 25)/(2500 - 5)
m = -25/2500
m = -1/100
Now that we have this we can use the slope and the intercept in slope intercept form to model the trend line.
y = mx + b
y = -1/100x + 25
Step-by-step explanation:
First;
x to third power=x³
y to 4th power=y⁴
<u>A</u><u>c</u><u>c</u><u>o</u><u>r</u><u>d</u><u>i</u><u>n</u><u>g</u><u> </u><u>t</u><u>o</u><u> </u><u>c</u><u>o</u><u>n</u><u>d</u><u>i</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u>
expression=x³ × y⁴
=x³y⁴
