Answer:
10.24 years
Step-by-step explanation:
The computation of the time period is as follows:
As we know that
Amount = Principal × (1 + rate of interest)^time period
£8000 = £4000 × (1 + 0.07)^time period
£8,000 ÷ £4,000 = 1.07^time period
2 = 1.07^time period
Now apply the log to the both sides
log 2 ÷ log 1.07 = time period
= 10.24 years
Answer:
Step-by-step explanation:
If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.
If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes
y = k/x
When y = 0.25, x = 8
Substituting into the expression above, it becomes
0.25 = k/8
k = 0.25 × 8
k = 2
The inverse variation function is
y = 2/x
Answer:

Step-by-step explanation:
The recursive rule tells you the initial term of the sequence is a1 = -3, and the common difference is d=7. (7 is the value added to one term to get the next term.)
Putting these values into the formula for the explicit rule gives ...
an = a1 +d(n -1)
an = -3 + 7(n -1)
Answer:
14x23=322
Step-by-step explanation:
so the length is 23 and the width is 14
Given the function, <em>f(x) = 3x + 6,</em> we can solve for f(a), f(a + h) and
by substituting their values into f(x) = 3x + 6. We will have the following:

<em><u>Given:</u></em>
<em>We are told to find:</em>
- f(a)
- f(a + h), and

1. <em><u>Find f(a):</u></em>
- Substitute x = a into f(x) = 3x + 6
f(a) = 3(a) + 6
f(a) = 3a + 6
<em>2. Find f(a + h):</em>
- Substitute x = a + h into f(x) = 3x + 6
f(a + h) = 3(a + h) + 6
f(a + h) = 3a + 3h + 6
<em>3. Find </em>
<em>:</em>
- Plug in the values of f(a + h) and f(a) into

Thus:


Therefore, given the function, <em>f(x) = 3x + 6,</em> we can solve for f(a), f(a + h) and
by substituting their values into f(x) = 3x + 6. We will have the following:

Learn more here:
brainly.com/question/8161429