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Maurinko [17]
3 years ago
13

What would my final balance be if i put R650 in the bank for 60 Months with an interest rate of 6%

Mathematics
1 answer:
pychu [463]3 years ago
7 0
60 months is 5 years
12 × 5 = 60

Interest = Principle amount × Rate × Time in years
             = 650 × 0.06 × 5 (6% = \frac{6}{100} = 0.06)
             = R195

R650 + R195 = R845
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If two zeroes of a polynomial x3+5x2+7x+3 are -1 and-3 then find the third Zero
belka [17]

Answer:

Third zero is -1.

Step-by-step explanation:

consider the given polynomial is  

P(x)=x^3+5x^2+7x+3

It is given that -1 and -3 are two zeroes, therefore (x+1) and (x+3) are two factors of given polynomial.

The given polynomial can be rewritten as

P(x)=x^3+x^2+4x^2+4x+3x+3

P(x)=x^2(x+1)+4x(x+1)+3(x+1)

P(x)=(x+1)(x^2+4x+3)

Now, splitting the middle term, we get

P(x)=(x+1)(x^2+3x+x+3)

P(x)=(x+1)(x(x+3)+1(x+3))

P(x)=(x+1)(x+1)(x+3)

P(x)=(x+1)^2(x+3)

Here, power of (x+1) is 2. It means the multiplicity of zero -1 is 2.

So, three zeroes are -1, -1 and -3.

Therefore the third zero is -1.

7 0
3 years ago
Factor completely 3x2 + x + 7.
OlgaM077 [116]
It should be prime :DDD
6 0
3 years ago
Read 2 more answers
What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of
Mrrafil [7]

Answer:

\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )

Step-by-step explanation:

Given: P is Three-fifths the length of the line segment from K to J

To find: x- and y-coordinates of point P on the directed line segment from K to J

Solution:

Section formula:

Let point K and J be (x_1,y_1)\,,\,(x_2,y_2) such that the point p(x,y) divides KJ in ratio m:n

Then coordinates of point  P are given by \left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )

Take m:n=3:5

So,

coordinates of point P = \left ( \frac{3x_2+5x_1}{3+5},\frac{3y_2+5y_1}{3+5} \right )=\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )

7 0
3 years ago
Suppose heights of seasonal pine saplings are normally distributed and have a known population standard deviation of 17 millimet
Mumz [18]

Answer:

296.693\leq x\leq 319.307

Step-by-step explanation:

The confidence interval for the population mean x can be calculated as:

x'-z_{\alpha /2}\frac{s}{\sqrt{n} } \leq x\leq x'+z_{\alpha /2}\frac{s}{\sqrt{n} }

Where x' is the sample mean, s is the population standard deviation, n is the sample size and z_{\alpha /2} is the z-score that let a proportion of \alpha /2 on the right tail.

\alpha is calculated as: 100%-99%=1%

So, z_{\alpha/2}=z_{0.005}=2.576

Finally, replacing the values of x' by 308, s by 17, n by 15 and z_{\alpha /2} by 2.576, we get that the confidence interval is:

308-2.576\frac{17}{\sqrt{15} } \leq x\leq 308+2.576\frac{17}{\sqrt{15} }\\308-11.307 \leq x\leq 308+11.307\\296.693\leq x\leq 319.307

6 0
3 years ago
Prove that 5^7+5^6 is divisible by 6.
Valentin [98]

Answer:

5^7+5^6 = 93750

93750/6 = 15625

Hence 5^7+5^6 is divisible by 6.

Step-by-step explanation:

3 0
3 years ago
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