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Leni [432]
3 years ago
12

Find the base of a parallelogram with an area (

Mathematics
1 answer:
Fed [463]3 years ago
3 0
Area of parallelogram = base x height
base = area of parallelogram/ height
= 60/4
= 15 inches
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A newborn child receives a $20,000 gift toward college education from her grandparents. How much will the 20,000 be worth in 17
Alexus [3.1K]

Answer:

The amount the $20.000 will be worth in 17  years at compound interest is $65068.443

Step-by-step explanation:

Here we have the Principal, P = $20,000.00

The annual interest rate, r = 7% = 0.07

Time , t = 17 years

Number of compounding period per year, m = quarterly = 4

The compound interest can be found from the following formula;

Amount, \ A = P \left (1 + \frac{1}{r}  \right )^{mt}

Therefore, by plugging the values of the equation parameters, we have;

Amount, \ A = 20000 \left (1 + \frac{0.07}{4}  \right )^{4 \times 17} = \$  65068.443

Therefore, the amount the $20.000 will be worth in 17  years at compound interest = $65068.443.

7 0
3 years ago
Which expressions represent rational numbers? select all the apply. startroot 100 endroot startroot 100 endroot 13.5 startroot 8
zlopas [31]

The expressions are irrational 1/3 + √216 and √64+ √353 and the expressions √100 × √100, 13.5 + √81, √9 + √729, and 1/5 + 2.5 are rational number.

<h3>What is a rational number?</h3>

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

1.  √100 × √100

→ √100 × √100

→ 10 × 10 = 100

This is a rational number.

2.  13.5 + √81

→ 13.5 + √81

→ 13.5 + 9 = 22.5

This is a rational number.

3.  √9 + √729

→ √9 + √729

→ 3 + 27 = 30

This is a rational number.

4.  √64+ √353

→ √64 + √353

→ 8 + √353

This is an irrational number.

5.  1/3 + √216

→ 1/3 + √216

→ 1/3 + √216

This is an irrational number.

6.  1/5 + 2.5

→ 1/5 + 2.5

→ 0.2 + 2.5 = 2.7

This is a rational number.

More about the rational number link is given below.

brainly.com/question/9466779

7 0
2 years ago
Use the rules of exponents to evaluate and simplify the following expression. Type all without negative exponents. Do not distri
Rainbow [258]

We are given (xy)^(-3).

This leads to 1/(xy)^3.

You see, going from the top to the bottom alters the sign of the exponent to its opposite.

ANSWER: 1/(x^3•y^3)

Did you follow?

5 0
3 years ago
74.94×103= <br> because the number 10³ has ?<br> zeros when it is written without an exponent.
horsena [70]

Answer:

74940, three

Step-by-step explanation:

74.94 × 10³

74.94 × 1000

74940

6 0
3 years ago
Please help me!! i don’t understand this like at all this is algebra btw
gladu [14]

The length and width of the fence should be made 76.25 feet and 23.75 feet respectively. Also, the expression for the length is L = 3W + 5 and the perimeter is P = 2(4W + 5).

<h3>How to determine the fence's dimension?</h3>

Mathematically, the perimeter of a rectangle can be calculated by using this formula;

P = 2(L + W)

<u>Where:</u>

  • P is the perimeter of a rectangle.
  • L is the length of a rectangle.
  • W is the width of a rectangle.

Since the length of this fence is 5 more than 3 times the width, we have:

L = 3W + 5

Substituting the given parameters into the formula, we have;

200 = 2(3W + 5 + W)

200 = 2(4W + 5)

200 = 8W + 10

8W = 190

W = 190/8

W = 23.75 feet.

For the length, we have:

L = 3W + 5

L = 3(23.75) + 5

L = 76.25 feet.

Read more on perimeter of a rectangle here: brainly.com/question/17107023

#SPJ1

5 0
2 years ago
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