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kifflom [539]
3 years ago
7

Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

Mathematics
1 answer:
Ivanshal [37]3 years ago
5 0

Answer:

Part 1) 168.8\%

Part 2) 12.6\%

Part 3) \$7,046.15

Part 4) 116.67

Part 5) 0.6\%

Part 6) \$570

Step-by-step explanation:

Part 1) Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

What percent of 1,600 is 2,700?

Let

x ----> the rate

In this problem the base ( number that represent the 100%) is 1,600 and the portion is 2,700

so

using proportion

\frac{100\%}{1,600}=\frac{x\%}{2,700}\\\\x=2,700*(100)/1,600\\\\x= 168.75\%

Round to the nearest tenth of a percent

168.75\%=168.8\%

Part 2) Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

$7.40 is what percent of $58.90?

Let

x ----> the rate

In this problem the base ( number that represent the 100%) is $58.90 and the portion is $7.40

so

using proportion

\frac{100\%}{\$58.90}=\frac{x\%}{\$7.40}\\\\x=7.40*(100)/58.90\\\\x= 12.56\%

Round to the nearest tenth of a percent

12.56\%=12.6\%

Part 3) Solve for the base (in $). Round to hundredths when necessary.

What is the base if the portion is $4,580 and the rate is 65%?

Let

x -----> the base

using proportion

\frac{\$x}{100\%}=\frac{\$4,580}{65\%}\\\\x=4,580*100/65\\\\x=\$7,046.15

Part 4) Solve for the base. Round to hundredths when necessary.

140 is 120% of what number?

Let

x -----> the base

In this problem the rate is 120% and the portion is 140

using proportion

\frac{x}{100\%}=\frac{140}{120\%}\\\\x=140*100/120\\\\x=116.67

Part 5) Solve the word problem for the portion, rate, or base.

A quality control process finds 46.8 defects for every 7,800 units of production. What percent of the production is defective?

Find for the rate

Let

x -----> the rate

In this problem the base is 7,800 units and the portion is 46.8

using proportion

\frac{100\%}{7,800}=\frac{x\%}{46.8}\\\\x=46.8*(100)/7,800\\\\x= 0.6\%

Part 6) A medical insurance policy requires Ana to pay the first $100 of her hospital expense. The insurance company will then pay 90% of the remaining expense. Ana is expecting a short surgical stay in the hospital, for which she estimates the total bill to be about $4,800. How much (in $) of the total bill will Ana owe?

step 1

Find the 90% of the remaining expenses

$4,800-$100=$4,700 -----> remaining expenses

In this part $4,700 is the base, the rate is 90%

Find the portion

Let

x -----> the portion

using proportion

\frac{\$x}{90\%}=\frac{\$4,700}{100\%}\\\\x=90*4,700/100\\\\x=\$4,230

step 2

Find out the total bill that Ana will owe

\$4,700-\$4,230=\$470

\$470+\$100=\$570

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