Exam 1: Review and Applications of Basic Mathematics

The value of $\frac{1}{80}$ is .135

Mrs. Simone invested $10,000 at 5%, $15,000 at 4%, and $20,000 at 3%. Calculate Mrs. Simone's overall rate of return.

The town of Simcoe is considering raising the $2 billion required for a sports complex by approving a new capital levy component of the property tax. The levy must be collected over the next five years. If the total assessed value of property in the town is $875 billion, what additional tax will a home owner of a property assessed at $300,000 pay?

The value of $350\left(1-.075 \times \frac{60}{365}\right)$ is 345.68

The following fraction has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy: $-\frac{9}{16}$

The RBC Royal Bank offers an "add-on option" on fixed-rate mortgages. The option allows the customer to borrow additional funds partway through the term of the mortgage. The interest rate charged on the combined mortgage debt becomes the weighted average of the old rate on the former balance and the current competitive rate on new mortgage financing. Suppose Herschel and Julie had a mortgage balance of $37,500 at 8%, when they borrowed another $20,000 at 7%. What interest rate will they be charged by the RBC Royal Bank on the new consolidated balance?

Ivory hand-soap is advertised as being $99 \frac{44}{100}$ % pure. (It floats!) How many milligrams of impurities are in a 150-gram bar of Ivory soap?

Evaluate the following: $\frac{3(2+1)^{2}+5^{2}}{4-3^{2}}$

Round the following to four-figure accuracy: 1.0023456

a) To the nearest whole percent, what percentage is the HST of an HST-inclusive price in New Brunswick? b) The total price including HST of an item is $171.35. What is the amount of HST included in the price?

Evaluate $\$ 1000\left(1+.045 \times \frac{17}{12}\right)$

15 is .7% of 2,142.86

Calculate the PST on a jacket costing $89.50 in British Columbia, Manitoba, and Saskatchewan. Use TABLE 1.2 as reference for the PST rates of the individual provinces.

Convert the following fraction to its decimal equivalent and percent equivalent values, rounded to five figures: $\frac{15}{365}$

Evaluate the answer correct to the cent: $\$ 250\left(1+0.05 \times \frac{145}{365}\right)$

The following fraction has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy: $\frac{22.5}{-12}$

Evaluate the following: 12 + 3 [2 + (4² - 13)²]²

Evaluate the following: $\frac{\$ 2315}{1+0.0825 \times \frac{77}{365}}$

Evaluate the answer .: (18 ¸ 3 + 6) × 2

In what circumstance should you calculate a weighted average instead of a simple average?