Answer:
the simple interest in both cases is 200 and 756 respectively
Step-by-step explanation:
The computation of the simple interest is shown below:
As we know that
Simple interest = P × r% × t
So
a. Simple interest is
= 2,500 × 8% × 1
= 200
b. The simple interest is
= 4,200 × 6% × 3
= 756
Hence, the simple interest in both cases is 200 and 756 respectively
Answer:
It mean's numeric form with exponents.
Step-by-step explanation:
Basically it's a way to write the number better without having to repeat it.
Answer:
$8,029.91
Step-by-step explanation:
You have to use the exponential growth equation:
A=P(1+r)^t
Where A is the final amount, P is the initial amount, r is the rate of increase, and t is the time in years. So:
A=6,600(1+0.04)^5
(The rate has to be changed into a decimal)
Then, just plug this equation into a calculator (without the A= part, so just 6,600(1+0.04)^5) and you'll get the answer.
Answer:
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Step-by-step explanation:
The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.
Depression triangle
The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,
using tangential ratio
tan 35° = opposite/adjacent
tan 35° = a/8
cross multiply
a = 8 tan 35°
a = 8 × 0.70020753821
a = 5.60166030568
a = 5.602 ft
Elevation triangle
The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.
tan 20° = opposite/adjacent
tan 20° = b/8
cross multiply
b = 8 tan 20°
b = 8 × 0.36397023426
b = 2.91176187413
b = 2.912 ft
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Answer:
The function has been flipped due to the negative in front.
The function has been shifted 17 units to the left.
The function has been shifted 4.3 units down.
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
- Multiplying by a negative flips the graph.
The graph of 
compares to 
in the following ways:
The function has been flipped due to the negative in front.
The function has been shifted 17 units to the left.
The function has been shifted 4.3 units down.
