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dsp73
3 years ago
13

Alma invests $300 in an account that compounds interest annually. After 2 years, the balance of the account is $329.49. To the n

earest tenth of a percent, what is the rate of interest on the account?
Mathematics
1 answer:
-Dominant- [34]3 years ago
5 0

Invested amount (P) = $300.

Time in years (t) = 2 years.

Balance after 2 years (A) = $329.49.

Let us assume rate of interest = r % compounds annually.

We know, formula for compound interest

A=P(1+r)^t

Plugging values in formula, we get

329.49=300(1+r)^2

\mathrm{Divide\:both\:sides\:by\:}300

\frac{300\left(1+r\right)^2}{300}=\frac{329.49}{300}

\left(1+r\right)^2=1.0983

Taking square root on both sides, we get

1+r=\sqrt{1.0983}

\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}

1+r-1=\sqrt{1.0983}-1

r=\sqrt{1.0983}-1

r=1.048-1

r=0.048.

Converting it into percentage by multiplying by 100.

r=0.048 × 100

r  = 4.8 %

Therefore, the rate of interest on the account is 4.8% compounds annually.

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21 jacks/min

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Step-by-step explanation:

63/3 = 21

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6 0
2 years ago
What is the slope of the line with an equation of 5x - 3y = -12
Hoochie [10]

Answer: m=\frac{5}{3} =1.67

Step-by-step explanation:

  1. Original equation:  5x-3y=-12
  2. Subtract 5x from both sides of the equation: -3y=-5x-12
  3. Divide both sides of the equation by -1: 3y=5x+12
  4. Divide both sides of the equation by 3 to get y on the left, leaving the equation in y=mx+b form: y=\frac{5}{3}x+4
  5. Evaluate. Slope is equal to m in this form, so the slope is m=\frac{5}{3}.

Hope this helps!

5 0
2 years ago
An insurance adjuster processes the claims of six policy holders in an eight hour work day. The adjuster uses $5 in gasoline and
Bad White [126]

Answer:

D

Step-by-step explanation:

Labor productivity is is measured per hours.

Hence, the work he does [amount of claims] will be distributed amongst the amount of hours he works. The amount of dollar he uses <em>doesn't matter for labor productivity.</em>

<em />

Thus, his work is 6 claims. He does that is 8 hours. So claim/hr is:

6/8 = 0.75 claims per hour

Answer choice D is right.

6 0
3 years ago
Please help. it is a multiple choice
Nana76 [90]
Number of correct answers on a test and test score
8 0
3 years ago
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Andre45 [30]

Answer:

The lines will never intersect.Step-by-step

explanation:

The slope of the cups is the same, 1.5.  The y-intercept of the small cups is 6The y-intercept of the big cups is 9. This means that the lines will never intersect because they are parallel lines and have the same slope but different y-intercepts.

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