Answer:
I think interest earned ❤️
Step-by-step explanation:
the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).
I think your teacher made a mistake, or you made one when typing the question in here.
there is no factor r that creates
15×r = 9
and
9×r = 5/27
it would mean that
15 × r² = 5/27
r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81
r = 1/9
but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9
and 9 × 1/9 = 9/9 = 1 is NOT 5/27
so, this can't be right.
on the other hand
15 × r = 9
r = 9/15 = 3/5
and then
9 × 3/5 = 27/5
so, either the sequence should have been
15, 5/3, 5/27
or (and I suspect this to be true)
15, 9, 27/5
under that assumption we have
s1 = 15
r = 3/5
sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)
s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =
= 3 × 19683/390625 = 59049/390625 =
= 0.15116544 ≈ 0.151
The 2 in 324 represents the number 20 out of 300 and 4. With decimal in front, the 2 now represents hundredths of 1.
The car's speed in feets per second is 79.2, Hence, it will cover a distance of 158.4 feets in 2 seconds.
Car's speed in miles per hour = 54 miles per hour
Recall :
- 1 mile = 5280 feets
- 1 hour = 3600 seconds
Car's rate in feet per second
- 54 miles per hour = (54 × 5280 × 1/3600) feet per second = 79.2 feets per second.
- Distance in 2 seconds :
- Distance = speed × time
- Distance = 79.2 × 2 = 158.4 feets
Therefore, the car will cover a distance of 158.4 feets in 2 seconds.
Learn more :brainly.com/question/23774048
Answer:
b) y = 289.815 when 
Step-by-step explanation:
We are given the following information in the question:
where y is the dependent variable,
are the independent variable.
The multiple regression equation is of the form:
where,
: is the intercept of the equation and is the value of dependent variable when all the independent variable are zero.
: It is the slope coefficient of the independent variable 
.
: It is the slope coefficient of the independent variable 
.
- The regression coefficient in multiple regression is the slope of the linear relationship between the dependent and the part of a predictor variable that is independent of all other predictor variables.
Comparing the equations, we get:
- This means holding constant, a change of one in is associated with a change of 0.5906 in the dependent variable.
- This means holding constant, a change of 1 in is associated with a change of 0.4980 in the dependent variable.
b) We have to estimate the value of y
