Answer:
After 10 years the investment A will be bigger than investment B.
Step-by-step explanation:
In Investment A, 50 increases each year by 8% and in investment B, 60 increases by 3 each year.
If after x years the investment A will be equal to investment B, then we can write the equation as

⇒ 50 + 4x = 60 + 3x
⇒ x = 10
Therefore, after 10 years the investment A will be bigger than investment B. (Answer)
1. You should draw a diagram with the information given in the problem. As you can see in the figure attached, there are two triangles, so, you can calculate the height of the lamp post as below:
h1/b1=h2/b2
h1 is the height asked.
b1=360 cm+ 90 cm
b1=450 cm
h2=160 cm
b2=90 cm
2. When you substitute these values into h1/b1=h2/b2, you obtain:
h1/450 cm=160 cm/90 cm
3. Now, you must clear the height "h1". Then, you have:
h1=(160 cm)(450 cm)/90 cm
h1=72000 cm²/90 cm
h1=800 cm
<span>
How high is the lamp post?
</span>
The answer is: 800 cm
To find it, evaluate it at the endpoints and the vertex
in form
f(x)=ax²+bx+c
the x value of the vertex is -b/2a
given
c(t)=1t²-10t+76
x value of vertex is -(-10)/1=10
evaluate c(0) and c(13) and c(10)
c(0)=76
c(13)=115
c(10)=76
it reached minimum in 2000 and 2010
porbably teacher wants 2010
the min value is $76
Answer:
Choices given as
and
are correct.
Step-by-step explanation:
Given expression is,

By applying law of exponents in the given expression,







Therefore, choices given as
and
are correct.