MAT 151 Final Review

The sum of 4 times a number and fifty is ninety. What is the number

A patient gains 32 lbs over 6 months, the patient's new weight is 217 lbs. What was their initial weight?

Based on a patient's age, the initial dose of a medication must be reduced by  $\frac{1}{3}$ their age (in mg). If the initial dose is 283 mg and the dose administered is 258 mg, how old is the patient?

The Elastic Band-Aid is 42 meters long. You need to cut it in two pieces so that one is 8 meters longer than the other. What is the length of the longer piece?

You have been tasked with dividing the budget for Diagnostic & Evaluation supplies. You need DSV Assessments, Range of Motion & Measuring Devices, and Vital sign supplies. The budget is $6813. DSV Assessments must be half of the Range of Motion & Measuring Devices and Vital sign supplies needs to be three times as much as Range of Motion & Measuring Devices. How much do you need for Vital sign supplies?

For every 5g of medicine you need to dilute it with 3g of saline solution. If you have 67g of medicine, how much saline solution do you need? (round to one decimal point as needed)

The compound interest formula is  $A=P\left(1+\frac{r}{n}\right)^{nt}$ . If you deposit $3000 into an account, where interest is compounded monthly, with an interest rate of 15% how much money will you have after 5 years? (Round to the nearest cent)

Mr. Pham has $75,000 in a retirement account that has in interest rate of 12.50% simple interest each year. How long will it take to triple using simple interest?  A=P(1+rt)