Figure WXYZ is a rectangle with a semicircle added to its base. The length of the rectangle is 16 inches and the width is 7 inches. What is the perimeter of the figure? Use 3.14 to approximate pi.

Answers

Answer 1

Answer: The length of the rectangle is 16 inches and the width is 7 inches. What is the perimeter of the figure? Use 3.14 to approximate pi.

Perimeter of the rectangle = 2L + 2W

C =2 π r
C = 2 * 3.14 * L/2

Perimeter of the figure = L + 2W + C/2

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Answer:

290 in²

Step-by-step explanation:

From the net:

S.A. = 2(25 in²) + 4(60 in²) = 50 in² + 240 in² = 290 in²

From the model:

The formula of a Surface Area of a rectangular prism:

S.A. = 2(lw + lh + wh)

l - length

w - width

h - height

We have l = 5 in, w = 5 in, and h = 12 in. Substitute:

S.A. = 2(5 · 5 + 5 · 12 + 5 · 12) = 2(25 + 60 + 60) = 2(145) = 290 in²

Answer: 290 in.^2

Step-by-step explanation: Just did on iready. Hope i helped! (:

If $535 is invested at an interest rate of 6% per year and is compounded continuously, how much will the investment be worth in 10 years?$1307.12
$974.83
$973.38
$403.43

Answers

A = Pe^rt , e = 2.718

A = 535 * (2.718)^(10 * 0.06)
A = 974.83

answer is $974.83

Compound Interest can be defined as the interest that is accumulated on a particular sum of money or investment after a given period of time.

The investment will be worth $974.83 in 10 years.

The formula to solve for the amount an investment will be worth if it is compounded continuously is given as:

A = Pe^rt

P = Principal = $535

R = Interest rate = 10%

T = Time in years = 10 years

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 rate per year,

Then solve the equation for A

A = Pe^rt

A = 535(2.71828)^(0.06 x10)

A = $974.83

Therefore, the investment will be worth $974.83 in 10 years.

To learn more, visit the link below:

brainly.com/question/24793452

Eleanor purchased $3,568 worth of stock and paid her broker a0.4% fee. She sold the stock when the stock price increased to
$4,298, using an online broker that charged $6 per trade. What
are her net proceeds?

Answers

Eleanor's net proceeds from selling the stock is: $4,271.73.

How much was gotten from the sales?

To calculate Eleanor's net proceeds, we need to subtract the total costs (broker's fee and online broker's fee) from the amount she received from selling the stock. Here are the steps to calculate her net proceeds:

Calculate the amount of the broker's fee:

Broker's fee = 0.4% of $3,568 = $14.27

Calculate the amount of the online broker's fee:

Online broker's fee = $6 per trade x 2 trades (one to sell and one to buy) = $12

Calculate the total costs:

Total costs = Broker's fee + Online broker's fee = $14.27 + $12 = $26.27

Calculate the amount Eleanor received from selling the stock:

Amount received = $4,298

Calculate Eleanor's net proceeds:

Net proceeds = Amount received - Total costs = $4,298 - $26.27 = $4,271.73

Therefore, Eleanor's net proceeds from selling the stock are $4,271.73.

Read more about sales proceeds at: brainly.com/question/29436143

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Difference between solutions of linear equations and solutions of linear in equalities

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A linear equation is any equation involving one or two variables whose exponents are one. In the case of one variable, one solution exists for the equation. For example, with 2_x_ = 6, x can only be 3.

One obvious difference between linear equations and inequalities is the solution set. A linear equation of two variables can have more than one solution.

For instance, with x = 2_y_ + 3, (5, 1), then (3, 0) and (1, -1) are all solutions to the equation.

In each pair, x is the first value and y is the second value. However, these solutions fall on the exact line described by y = ½ x – 3/2.

If the inequality were x ? 2_y_ + 3, the same linear solutions just given would exist in addition to (3, -1), (3, -2) and (3, -3), where multiple solutions can exist for the same value of x or the same value of y only for inequalities. The "?" means that it is unknown whether x is greater than or less than 2_y_ + 3. The first number in each pair is the x value and the second is the y value.

20+20+20+20+20+10+5+5

Answers

the answer to this equation is 120

Answer:

120

Step-by-step explanation:

62.5% as two equivalent forms

Answers

62.5/100 and 0.625 are both equivalent.

62.5%=0.625=625/1000=5/8

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