If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.
Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.
This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%
ANSWER
The correct option is,

EXPLANATION
We were given that the solutions of the quadratic equation are

and

This tells us that,

and

are factors of the quadratic equation.
This implies that the quadratic equation is of the form,

We were also told that

is a non zero constant.
This means that we can use k to multiply the whole equation and the solution will not be affected.
Our equation now becomes,

Hence the correct answer is A.
Answer:
The amount needed as a one-time deposit to earn $7,500 in 3 years is <em>$4388.17</em>
Step-by-step explanation:
<u>Basic Finance Formulas
</u>
One of the most-used formulas to compute present and future values is

Where FV is the future value, PV is the present value, r is the interest rate and n is the number of periods. It's vital to keep in mind that r and n must be referred to the same compounded time, e.g. r is compounded monthly and n is expressed in months
The question requires to compute the PV needed as a one-time deposit to earn a future value of $7,500 in 3 years at a 1.5% rate compounded monthly.
FV=7,500
r=1.5%=0.015
n=3*12=36 months
We converted n to months because r is compounded monthly
. The formula

must be managed to make PV isolated



Answer: The amount needed as a one-time deposit to earn $7,500 in 3 years is $4388.17
Answer:
- B. On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.
Step-by-step explanation:
<u>Graph of the function:</u>
The domain is x ≥ 0, the range y ≤ 1
Correct answer choice is B
- On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.
<em>The graph is attached</em>