Exam 1: Basic Concepts

Find the monthly payment for the loan. Finance $500,000 for an apartment complex with a 12.3% 10-year loan. Please round the answer to the nearest cent. The monthly payment is $ __________.

Change the mixed number to an improper fraction. $11 \frac { 4 } { 5 }$

Find the missing dimension of the shaft in the illustration.

Divide. $7,900 \div 0.76$

Find the area of the of a rectangle where the base is b, and the height is h. Let b = $27$ feet, and h = $21$ feet.

Simplify the fraction. $\frac { 18 } { 21 }$

Simplify the fraction. $\frac { 8 } { 12 }$ If the fraction is undefined, answer undefined.

The cooling requirements for the three separate incubation rooms are $\frac { 1 } { 5 }$ ton, $\frac { 5 } { 6 }$ ton and $\frac { 25 } { 36 }$ ton. If a central HVAC unit will be installed, how many tons are required?

Round the number to three significant digits. 723,568

You need 0.6% of 1,000 mL. How many mL do you need?

Evaluate the expression. $21 - 5 \times ( 17 - 7 ) - 3 + 8 ( 45 - 12 )$

Find the LCD of the set of fractions. $\frac { 1 } { 35 } , \frac { 5 } { 14 } , \frac { 1 } { 21 }$

Find the root rounded to three significant digits. $\sqrt [ 3 ] { 80,325 }$

Round the following number to the nearest hundred and the nearest ten. 40.11 to the nearest hundred: __________ to the nearest ten: __________

Change the common fraction to a decimal. $\frac { 6 } { 25 }$

A single story shopping center is being designed to be 591 ft. long ×  90 ft. deep. Two stores have been pre-leased. One occupies 160 linear ft. and the other will occupy 220 linear ft. The owner is trying to decide how to divide the remaining space, knowing that the smallest possible space should be 4,000 ft ². How many stores can occupy the remaining area?

Perform the indicated operations and simplify. $7 \frac { 9 } { 16 } + 8 \frac { 3 } { 4 } + 7 \frac { 1 } { 8 }$

Change 3,960 ft/h to ft/min. __________ ft/min

Find the prime factorization of the number below (use the divisibility tests where helpful). $52$

How much must the diameter of a $\frac { 31 } { 64 }$ in. shaft be reduced so that its diameter will be $\frac { 13 } { 32 }$ in.?