Answer:
Julie weighs 35 lbs, Ted weighs 70 lbs, Mike weighs 105 lbs.
Step-by-step explanation:
Let the weight of Julie be
Given:
Ted weighs twice as much as Julie
Weight of Ted =
Mike weighs three times as much as Julie.
Weight of Mike =
Together, Ted, Mike, and Julie weigh 210 lbs.
Solving above we get;
Hence Julie weight is 35 lbs.
Weight of Ted =
Hence Ted weight is 70 lbs.
Weight of Mike =
Hence Mike weight is 105 lbs.
Answer:
A) =0
B)t= 0.45 seconds or t= 3.5 seconds
<em>If time is greater than 0.45 seconds then ball will reach height 12m and higher.</em>
Step-by-step explanation:
Given Equation:
h(t)= ------------------------------(Equation 1)
a) Equation to tell if ball reaches height of 12m . for that :
h= 12m
put in Equation 1.
12 =
or =12
or -12 = 0
=0
or = 0 -----------------------------------(Equation 2)
<em>This Equation tells if ball reaches height of 12m</em>
b) Does ball reaches height of 12m :
For that, the value of time can be found out from the equation above,
= 0
It can be solved using the quadratic formula:
t= 0.45 seconds or t= 3.5 seconds
If time is greater than 0.45 seconds then ball will reach height 12m and higher.
1. 1.09392(10^5)
2. 1.1130(10^4)
hope this helps
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = ₹256
r = 100% = 100/100 = 1
n = 4 because it was compounded 4 times in a year.
t = 1 year
Therefore,
A = 256(1 + 1/4)^4 × 1
A = 256(1 + 0.25)^4
A = 256(1.025)^4
A = ₹283
The compound interest is
283 - 256 = ₹27
Answer:
Step-by-step explanation:
The equation to solve for "a" is:
The first step is to convert all of them to same bases.
9, 81, and 27, all can be expressed in base 3, lets do this:
We can use the property: to simplify further:
The right side has 2 same bases multiplied, we can simplify this using the property:
Thus, we have:
Now, both sides have same base, so exponents would be equal. Now lets equate and solve for "a":
So,
a = -4