Answer:
The slope of a line parallel to that one would be -7/5
Step-by-step explanation:
Parallel lines have the same slope. The slope (in this form) is the coefficient of x. Therefore, it is -7/5 and a parallel line would have that same slope.
Answer:
B
Step-by-step explanation:
Answer:
After 23 years , the capital will get three times as big
Step-by-step explanation:
Firstly, let us write the compound interest formula
P = I( 1 + r)^n
Since we are considering a capital rise of 3 times
If I, the initial value is x, the P
value later will be 3x
Interest rate is 5/100 = 0.05
so we need the value of t
This will be;
3x = x(1 + 0.05)^t
3= 1.05^t
ln 3 = t ln 1.05
t = ln 3/ln 1.05
t = 23 years
Answer:
The length of side <em>b</em> is 9.
Step-by-step explanation:
Triangles are similar if they have the same shape, but can be different sizes.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle is similar to the triangle . Therefore the following relation must be true:
We know that side is equal to 8, side is equal to <em>b, </em>side is equal to , and side is equal to 3.
Substituting these values into the above relation and solving for <em>b</em> we get that:
(x-6)/2 = 8
x-6 = 16
x = 22