The process of solving by multiplication or division entails utilizing these mathematical operations to isolate a variable within an equation. To maintain the balance of the equation, each side must be multiplied or divided by the same non-zero quantity. This method is typically employed when solving linear equations or when simplifying complex algebraic expressions.
| Topic | Problem | Solution |
|---|---|---|
| None | Decide whether the following statement makes sens… | The statement is saying that the tuition price has quintupled, which means it has increased by a fa… |
| None | Score: $0 / 2$ Penalty: 1 off Question Watch Vide… | Given that the principal initially invested, P = $36600, the rate of interest, r = 4.6% = 0.046, an… |
| None | The population of Boomtown is currently 14000 and… | The population of Boomtown is currently 14000 and expected to grow by 2.6% over the next year. We c… |
| None | 9. You are baking batches of cookies for a bake s… | The problem is asking if we can bake 18 batches of cookies with 18 cups of flour, given that each b… |
| None | Question 7 of 15 , Step 1 of 1 $5 / 15$ 2 Jenna b… | First, calculate the down payment by finding 20% of the total cost of the car. This can be done by … |
| None | c. Sandy made a $30 \%$ deposit on the purchase o… | Sandy made a deposit which is 30% of the total price of the computer. She gave the clerk $168. |
| None | If the rate of inflation is $3.9 \%$ per year, th… | The rate of inflation is given as $3.9 \%$ per year. This can be written as a decimal as 0.039. |
| None | Sheba opened a retirement account with 36,500$. … | Translate the problem into the formula for future value in compound interest: \(FV = P * (1 + r/n)^… |
| None | Suppose that the functions $h$ and $g$ are define… | For part (a), we need to find the value of \(\left(\frac{h}{g}\right)(2)\). This means we need to s… |
| None | Amber invests $\$ 1500$ in an investment that con… | Given that Amber invests $1500 in an investment that continuously compounds at an annual rate of 7.… |
| None | If the rate of inflation is $3.7 \%$ per year, th… | The rate of inflation is given as $3.7 \%$ per year. The future price $p(t)$ (in dollars) of a cert… |
| None | The dollar value $v(t)$ of a certain car model th… | The dollar value $v(t)$ of a certain car model that is $t$ years old is given by the following expo… |
| None | Growing linearly, the balance owed on your credit… | Substitute $x=12$ into the function $f(x)=700(1+0.096)^{x}$ to find the balance after 12 months. |
| None | The amount of carbon-14 present in a paint after … | The amount of carbon-14 present in a paint after \(t\) years is given by \(y=y_{0} e^{-0.00012 t}\). |
| None | How much should be invested now at an interest ra… | The problem is asking for the present value of an investment that will grow to $3500 in two years w… |
| None | The amount of money invested in a certain account… | Given the function \(y=y_{0} e^{0.025 t}\), where \(y_{0}\) is the initial amount of the investment… |
| None | Following the birth of a child, a parent wants to… | A parent wants to make an initial investment $P_{0}$ that will grow to $50,000 for their child's ed… |
| None | Following the birth of a child, a parent wants to… | We are given that the future value of the investment (A) is $40,000, the annual interest rate (r) i… |
| None | The population of a small town is modeled by the … | We are given the population model \(P=1450 e^{6.5 t}\) and we are asked to find the time \(t\) when… |
| None | Find an exponential function of the form $P(t)=P_… | Given that the initial population is 550, the population doubles every 3 years, and the general for… |
| None | The formula $S=C(1+r)^{t}$ models inflation, wher… | Given that the formula for inflation is \(S=C(1+r)^{t}\), where \(C\) is the current value, \(r\) i… |
| None | Following the birth of a child, a parent wants to… | We are given that the final amount (A) is $50,000, the annual interest rate (r) is 7% or 0.07 in de… |
| None | An iterative formula is shown below. \[ x_{n+1}=\… | Given the iterative formula: \(x_{n+1} = \sqrt{8x_n - 5}\) and \(x_1 = 3\) |
| None | A principal of $\$ 2100$ is invested at $6.75 \%$… | Given: Principal (P) = $2100, Annual Interest Rate (r) = 6.75% = 0.0675, Compounded Annually (n = 1… |
| None | A 723 Qul₹ Representing Exponential Functions Que… | Given the principal amount (P) as \(2000\), the interest rate (i) as \(4.5\%\) or \(0.045\), and th… |
| None | The dollar value $v(t)$ of a certain car model th… | Find the initial value of the car by evaluating the function at t=0: \(v(0) = 26,000(0.80)^{0}\) |
| None | Jon made a Facebook video. On the first day, 2 pe… | 1. Number of people day 1: \(2\) |
| None | Solve the problem. Assume that simple interest is… | \( I = P \times r \times t \) |