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Novosadov [1.4K]
3 years ago
5

You want to put $8,000 in a simple interest account. It has a 2% annual interest rate. How long must you invest that money to ea

rn $400 in interest? CLEAR CHECK 2.5 years 5 years 10 years 0 years
Mathematics
1 answer:
Nutka1998 [239]3 years ago
5 0

Answer:

2.5 years

Step-by-step explanation:

Interest= P×R×T÷100

T= 100I÷P×R

T= 100×400÷8000×2

T= 40000÷16000

T= 5÷2

T= 2.5 years

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Do the following lengths satisfy the Pythagorean Theorem? Lengths =14, 50, 48.<br> Yes<br> No
seraphim [82]

Answer:

  yes

Step-by-step explanation:

  14² +48² = 196 +2304 = 2500 = 50²

The three lengths (14, 48, 50) are a Pythagorean triple.

__

<em>Additional comment</em>

The two smaller numbers correspond to side lengths. The larger one corresponds to the hypotenuse length.

We typically write the numbers of a Pythagorean triple in increasing order, but the order doesn't really matter. As sides of a triangle, the triangle formed is a right triangle, regardless of the order.

6 0
2 years ago
Solve the system of equations using elimination: -8x-4y=4 and -5x-y=-11.
ziro4ka [17]

The solutions to the given system of equations are x = 4 and y = -9

<h3>Simultaneous linear equations</h3>

From the question, we are to determine the solutions to the given system of equations

The given system of equations are

-8x-4y=4  --------- (1)

-5x-y=-11   --------- (2)

Multiply equation (2) by 4

4 ×[-5x-y=-11 ]

-20x -4y = -44  -------- (3)

Now, subtract equation (3) from equation (1)

-8x -4y = 4  --------- (1)

-(-20x -4y = -44)  -------- (3)

12x = 48

x = 48/12

x = 4

Substitute the value of x into equation (2)

-5x -y = -11

-5(4) -y = -11

-20 -y = -11

-y = -11 + 20

-y = 9

∴ y = -9

Hence, the solutions to the given system of equations are x = 4 and y = -9

Learn more on Simultaneous linear equations here: brainly.com/question/26310043

#SPJ1

6 0
1 year ago
A Ferris wheel can accommodate 65 people in 15 minutes. How many people could ride the Ferris wheel in 2 hours? What was that ra
densk [106]

Answer:

520 people in 2 hours

rate = 260 people per hour

Step-by-step explanation:

change minutes to hours

15 minute* 1 hr/60 minutes = .25 hrs

65 people      x people

---------------  = ------------------

.25 hrs            2 hrs


using cross products

65 * 2 = .25 * x

130 = .25x

divide by .25

130/.25 = .25x/.25

520 =x

520 people

65 people      x people

---------------  = ------------------

.25 hrs            1 hrs

using cross products

65 = .25x

divide by .25

65/.25 = .25x/.25

260 =x

260 people in 1 hour

rate = 260 people per hour

5 0
3 years ago
What are the factors of that 697
Rainbow [258]
The factors of 697 or 6,9,7? 
5 0
3 years ago
The Patterson family has 3 kids, 1 boy and 2 girls. Suppose that for each birth, the probability of a boy birth is 1/2, and the
elena-14-01-66 [18.8K]

Answer:

Probability = \frac{1}{8}

Step-by-step explanation:

Given

Represent Boys with B and Girls with G

P(B) = \frac{1}{2}

P(G) = \frac{1}{2}

Required

Find the probability or having 1 boy 2 girls

Since the order is not important, the probability is calculated as follows;

Probability = P(B) * P(G) * P(G)

Substitute \frac{1}{2} for P(B) and P(G)

Probability = \frac{1}{2} * \frac{1}{2} * \frac{1}{2}

Probability = \frac{1 * 1 * 1}{2 * 2 *2}

Probability = \frac{1}{8}

<em>Hence, the fractional probability is </em>\frac{1}{8}<em></em>

<em></em>

7 0
3 years ago
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