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madam [21]
3 years ago
12

After 5 years, a $2,450 investment is worth $3,123.75.

Mathematics
1 answer:
kondaur [170]3 years ago
3 0

Answer:

5.5%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

r=\frac{I}{Pt}

<em>I = interest amount</em>

<em>P = principal amount</em>

<em>t = time (years)</em>

<em />

The first step is to find the interest gained from the investment.

3,123.75-2,450=673.75

Next, plug in the values into the equation:

r=\frac{673.75}{(2,450)(5)}     Multiply the bottom values

r=\frac{673.75}{12,550}         Divide the values

r=.055

The last step is to convert 0.055 into a percent:

0.055(100)=5.5

The interest rate is 5.5%

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If Javier has a car with a mass of 250,000 kg and it is acted upon with a force of 300 Newtons. What is the acceleration?
natima [27]

Answer:

<u>The acceleration is 0.0012 meters/seconds²</u>

Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Mass = 250,000 kg

Force = 300 Newtons

2. What is the acceleration?

Based on Newton's Second Law of Motion, let's recall that:

Force = Mass * Acceleration

Acceleration = Force/Mass

Replacing with the real values, we have:

Acceleration = 300/250,0000

Acceleration = 0.0012 meters/seconds² (we can't express acceleration using Newtons/kilograms as the unit).

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3 years ago
Unit Exam: Rational Numbers
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Assuming that you’re asking for a fraction of 0.31 where 31 repeats?

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2 years ago
Rewrite the equation y−2=−3/2(x+6) in standard form.
navik [9.2K]

For this case we have that by definition, the standard form of the equation of the line is given by:

ax + by = c

We have the following equation:

y-2 = - \frac {3} {2} (x + 6)

We manipulate the equation algebraically:

y-2 = - \frac {3} {2} x- \frac {3 * 6} {2}\\y-2 = - \frac {3} {2} x \frac {18} {2}\\y-2 = - \frac {3} {2} x-9\\y-2 + 9 = - \frac {3} {2} x\\y-7 = - \frac {3} {2} x\\2 (y-7) = - 3x\\2y-14 = -3x\\3x + 2y = 14

Finally, the equation is:

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3 0
3 years ago
Nuts Galore sells a trail mix containing dried banana chips, roasted almonds, and chocolate chips that sells for $6.52 per pound
KengaRu [80]

Answer:

x = 28 ----- Banana

y = 54 ----- Almonds

z = 18 ---- Chocolate

Step-by-step explanation:

Let

x \to banana

y \to almonds

z \to chocolate

So, we have:

x + y + z = 100 --- total used

4x + 8y + 6z = 652 -- i.e. 6.52 * 100 --- total sales from 100 pounds

y = 3z

Required

The number of pounds of each (i.e. x, y and z)

Substitute y = 3z in x + y + z = 100

x + 3z + z = 100

x + 4z = 100

Make x the subject

x = 100 - 4z

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Substitute x = 100 - 4z

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Collect like terms

- 16z + 30z = 652-400

14z = 252

Divide by 14

z = 18

Substitute z = 18 in x = 100 - 4z

x = 100 - 4 * 18

x = 100 - 72

x = 28

To calculate y, we have:

y = 3z

y = 3 * 18

y = 54

6 0
3 years ago
Give an example question ( use words and numbers)
Ymorist [56]
A 2 - - 7 = 9
b - 3 - - 4 = 1
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d - 3 - - 5 = 2
8 0
3 years ago
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