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Romashka-Z-Leto [24]
4 years ago
7

131.049- 82.604rounded to the nearest whole number

Mathematics
1 answer:
Sergeeva-Olga [200]4 years ago
5 0
48 is the answer.I hope this helps
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What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is
Ierofanga [76]

Answer:

$1348.07

Step-by-step explanation:

Hello!

<h3>Compound Interest Formula: A = P(1 + \frac rn)^{nt}</h3>
  • A = Account Balance
  • P = Principle/Initial Amount
  • r = Rate of Interest (decimal)
  • n = Number of times compounded (per year)
  • t = Number of Years

<h3>Given Information</h3>
  • Account Balance = ?
  • Principle Amount = $1000
  • Rate of Interest = 0.02

Why is the Rate 0.02?

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

  • Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

  • Number of years = 15

<h2>Solve </h2>

Solve by plugging in the given values into the formula.

  • A = P(1 + \frac rn)^{nt}
  • A = 1000(1 + \frac {0.02}{6})^{6*15}
  • A = 1000(1 + 0.00333...)^{90}
  • A = 1000(1.00333...)^{90}
  • A = 1000(1.145743)
  • A \approx 1457.43

This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.

The answer is $1348.07.

3 0
2 years ago
What is a8 for the geometric sequence 6,561;−2,187;729;−243;…6,561;−2,187;729;−243;….
VMariaS [17]
Consider a geometric sequence (u_n)

let u_1=a and the common ratio be r, then the sequence is constructed as follows:

u_1, u_2, u_3..... = a, ar, a r^{2}, a r^{3}, ...

we can observe that each term of the sequence is its previous term * r.


In the given sequence, to find the common ratio we divide 6,561 by −2,187 and get -3. This means that r= -\frac{1}{3}

Let the first term u_1=a=6,561, 

then the eighth term is  

u_8=a* r^{7}= 6,561 (- \frac{1}{3} )^{7}= -6,561*( \frac{1}{3} )^{7}= \frac{-6,561}{2187} =-3


Answer: -3
4 0
4 years ago
DESPERATE WILL GIVE BRAINLIST AND THANKS
Bezzdna [24]

Answer: Positive

Step-by-step explanation:

A scatter plot for speed and distance is created.

We know that distance = speed x time

Hence when speed increases , distance increases and similarly when speed decreases, distance decreases.

Thus if we plot on x axis distance, we find that x increases when y increases.

So we find that there is a strong positive relationship between the two variable

D=tS

where D= distance S=speed and T=time.

Since D varies directly as speed, we have positive relationship.

Hope this helps! :)

5 0
3 years ago
What is the slope of a line that is parallel to a line with slope of m=-6/5.What is the slope of the line that is perpendicular
Verdich [7]

Answer:

a) m = -6/5

b) m = -5/6

Step-by-step explanation:

The slopes of parallel lines are the same. The parallel line will have a slope equal to that of the line it is parallel to, -6/5.

__

The slopes of perpendicular lines are the opposite of the reciprocal of one another. The perpendicular line will have a slope that is the negative reciprocal of the slope of the one it is perpendicular to: -1/m = -1/(6/5) = -5/6.

8 0
3 years ago
Consider the regression model Y = 389.10 - 14.6 X. If the r 2 value is 0.657, what is the correlation coefficient?
pshichka [43]

Answer:

Step-by-step explanation:

Y = 389.10 - 14.6 X.

Here when X increases Y decreases so correlation coefficient is negative .

correlation coefficient = - √ .657

= - .81

4 0
3 years ago
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