Answer:
There are 26 purple marbles in the bag.
Step-by-step explanation:
Firstly, you have to make an expression in terms of x where x represent red marbles. Given that the question says purple marbles is 2 more than 3 times the number of red marbles. So the expression is :
Let red marbles = x,
Next, given that the total marbles in the bag is 34 so you have to add both marbles together and solve the value of x :
Lastly, you have to substitute the value of x into the expression of purple marbles :
Let x = 8,
Answer:
a=7
Step-by-step explanation:
Given,
6a-7=3a+14
or,6a-3a=14+7
or,3a=21
or,a=7 [ANSWER]
Step-by-step explanation:
T = time in seconds
H = distance
Tground = time to return to ground
Tmax = time at maximum height
H = -16T^2 + 672T...eqn 1
projectile returns to ground at H =0,
subs for H in eqn 1...
0 = -16T^2 + 672T
solving for T we get...
16T^2 = 672T
=> Tground = 42secs
Tmax = 0.5 Tground = 21secs
Using an exponential function, it is found that the value of David's Investment will be at least $415 after a period of 20 years.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
In this problem, the initial value and the growth rate for his investment are given by:
A(0) = 230, r = 0.03.
Hence, the value after t years is given by:
Then, the value will be of at least $415 when:
More can be learned about exponential functions at brainly.com/question/25537936
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