Answer:
17.5
Step-by-step explanation:
Given that the variables x and y have a proportional relationship.
i.e. y is directly proportional to x or can be written as
y = mx where m is the constant of proportionality.
When x =2, y =7
Substitute this to get the value of m.
7 =2m or m = 3.5
Thus the relationship between x and y is
y = 3.5x
So when x=5, y = 3.5(5) = 17.5
Answer:
A dilation is a transformation that changes the size of a figure. The original figure and translated figure seem to be (similar) I'm not sure about this I just researched it. Sorry:)))
Step-by-step explanation:
We have that every quarter, he will get an 0.8% interest rate. We also have that there will be 14*4=56 periods of repayment. We have that by the formula, if there are n periods and x% is the interest rate, the capital is multiplied by (100+x%)^n.
Suppose Micah invests x money. Then, we have that after 14 years, the capital available will be C=

. We have that C=18500$ and hence that 18500=x*1.562. Thus, solving for x we have that x=11841$.
Micah will need to invest only 11841$ in order to pay for his boat; this shows the importance of saving since he earns a lot of money, around 7k $.
Answer: 30%
Step-by-step explanation:
Total number of people involved in the tournament= 50
Number of people chosen to play rugby= 35
Number of people chosen to play football= 15
To get the percentage of people that are chosen to play football, we divide the number of people chosen to play football by the total number of people chosen for the tournament and then multiply the answer by 100. This will be:
= 15/50 × 100
= 0.3 × 100
= 30%
The percentage of people chosen to play football is 30%.
<u>Answer:</u>
The value of f(x) =
when x=3 is 19, hence the correct option is ‘d’.
<u>Solution:</u>
A two degree polynomial equation is given in the question.
The equation is:

We need <em>to find the value of f(x) when the value of x is 3.
</em>
To solve a question like this we have to substitute the given value of x in the given equation and then simplify it.
Now let's substitute the value of x in the given equation.

First we square the number 3 and then multiply it with 2 and then add 1.
This is done because of the BODMAS rule, in which multiplication is given higher preference as compared to addition.
On solving the equation we get,
F(x)=2×9+1
F(x)=18+1
F(x)=19.
Therefore the value of f(x) when x=3 is 19.
Hence the correct option is ‘d’.