A new physician saw 841 clients during the first year of practice and 1,072 clients during the second year of practice. Which of the following represents the approximate percentage increase in client volume?

Let's work step by step to find the original price of the recliner.

Let the original price of the recliner be x.

The recliner is on sale for 30% off the original price. So, the sale price is:

SalePrice = x−0.30x = 0.70x

The consumer has a coupon that saves an additional 25% off the sale price. So, the final price is:

FinalPrice = 0.70x − 0.25(0.70x)

= 0.75(0.70x)

= 0.525x

The consumer paid $237 for the recliner. Therefore, we have the equation:

0.525x = 237

Solving for x:

x =

​≈ 451.43

Rounding to the nearest dollar, the original price is approximately $451,

Here are the calculations for the medium and large pizzas:

Medium Pizza:

Diameter: 11 inches

Area: ××= 95.03 square inches

Price: $9

Cost per square inch: = 9.47 cents

Large Pizza:

Diameter: 15 inches

Area: ××= 176.71 square inches

Price: $13

Cost per square inch: = 7.36 cents

Cost Difference

The large pizza costs about 2.11 cents less per square inch than the medium pizza.

Here are the calculations for the gumballs:

• Total Gumballs: 120
• Red Gumballs: 20% of 120 = 24
• Orange Gumballs: 30% of 120 = 36
• Yellow Gumballs: 5% of 120 = 6
• Green Gumballs: 10% of 120 = 12
• Blue Gumballs: 120−(24+36+6+12) =42

Difference

The difference between the number of blue gumballs and yellow gumballs is: 42 − 6=36

The percent equivalent of a fraction is obtained by multiplying the by frication by 100%.

Convert 5 ¼ into improper faction as follows

So, percent equivalent is:

In a negatively-correlated variables, a change in one variable result in opposite change in the other variable. In other words, an increase in on variable results in a decrease in the other.

Now let’s analyze the given scenarios:

As elevation increases, temperature decreases is a NEGATIVE CORRELATION

As elevation increases, temperature increases is a POSITIVE CORRELATION

As elevation decreases, temperature remains the same this is NO-CORRELATION

As elevation decreases, temperature decreases is a POSITIVE CORRELATION

To find the number of calories from fat per tablespoon, follow these steps:

Calculate the total calories from fat in one serving (2 tablespoons):

87.5%×80=0.875×80=70caloriesfromfat

Determine the calories from fat per tablespoon: Since one serving is 2 tablespoons, divide the total calories from fat by 2:

=35caloriesfromfatpertablespoon

To calculate the number of months it will take to pay off the television, we first subtract the down payment from the total cost of the television:

1,570−400=1,170

Now, we divide the remaining balance by the monthly payment amount:

1,170÷100=11.7

Since the consumer cannot make a fraction of a payment, it will take 12 months to pay off the television.

In direct proportion relation we utilize the relationship as:

Variable∝Variable 2

Thus from the given case,

Force∝stretch

We introduce a constant term, K to remove the sign of proportionality as

Force=K* stretch

Let’s find the value of K, using Force=132 N and stretch of 0.07 m

132 N=K*0.07 m

K=132 N/0.07 m=1885.7 N/m

Now substitute this value of K in the following equation

Force=1885.7 N/m * stretch

For a stretch of 0.1 m, the force needed is

Force=1885.7 N/m * 0.1 m=188.57 N=188.6 N

Determine the number of blue and yellow gumballs as follows:

Percent of blue gumballs=100%-(20%+30%+5%+10%) =100%-65%=35%

Number of blue gumballs =35% of 120=0.55*120 = 42 blue gumballs [35%=35/100=0.35]

Number of yellow gumballs=5% of 120=0.05*120 = 6 yellow gumballs [5%=5/100=0.05]

Difference between number of blue and yellow gumballs=42-6= 36 balls

Therefore, there are 36 more blue gumballs than yellow gumballs.

Let two number be x and y. Then

Three time a number=3x

Eight times a different number=8y

Sum of the two is 3x+8y