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3 years ago

If $206.40 amounts to$237.36 in 2 years, find therate of simple interest perannum

Mathematics

1 answer:

saveliy_v [14]3 years ago

8 0

Answer:

The interest rate is 7.5%

Step-by-step explanation:

You get the difference from the new number and the original. In this case, it is 30.96. I then divided the original by 30.96. The answer turned out to be .15. I doubled checked my answer by timing the original by .15 and adding it. But, I had to divide .15 by 2 so I could get the amount per year. So, it would be 7.5% per year of interest.

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If A= and B= , find BA

Arada [10]

Answer:

$\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\6&6&-19\end{array}\right]$

Step-by-step explanation:

Given that A = $\left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right]$ and B = $\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right]$ .

Therefore, BA = $\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right]$ × $\left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right]$ = $\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\6&6&-19\end{array}\right]$ (Answer)

For, the 1st row-1st column element is obtained by multiplying the 1st row of B matrix and 1st column of A matrix.

Similarly, the 1st row-2nd column element is obtained by multiplying the 1st row of B matrix and 2nd column of A matrix.

And so on. (Answer)

8 0

3 years ago

The polygons below are similar, but not necessarily drawn to scale. Find x.<br> 4 +<br> 36<br> AM

Mamont248 [21]

Answer:

x = 20

Step-by-step explanation:

In similar polygons, all corresponding sides are proportional. The scale factor between AB and DE is the same as between AC and DF.

$\frac{DE}{AB}=\frac{DF}{AC}\\\\\frac{4+x}{4}=\frac{36}{6}\\\\6(4+x)=4(36)\\24+6x=144\\6x=120\\x=20$

You can confirm that by plugging it back into the original equation:

$\frac{4+x}{4}=\frac{36}{6}\\\\\frac{4+(20)}{4}=\frac{36}{6}\\\\\frac{24}{4}=\frac{36}{6}\\\\6=6$

3 0

3 years ago

Suppose the average commute time of your employees is unknown. The standard deviation of their commute time is estimated as 24.5

Leona [35]

The number of employees is 91.

According to the statement

Given that the standard deviation = 24.5

The width in the question = 13

We solve for the margin of error E.

E = width / 2

E= 13/2 = 6.5

At 90%

Alpha = 1-0.90

= 0.1

Alpha/2 = 0.1/2 = 0.05

Z 0.05 = 1.576

Now find the Sample size n

= ((1.576x24.5)/2)²

= 90.8

= 91

So, The number of employees is 91.

Learn more about INTERVAL here brainly.com/question/18608839

#SPJ4

3 0

2 years ago

11. What is the location of the vertex of the parabola defined by f(x) = −3x2 − 18x − 35 and in what direction does the parabola

lbvjy [14]

11. The given parabola has equation: $f(x)=-3x^2-18x-35$

We complete the square to have the function in the vertex form: $f(x)=-3(x^2+6x)-35$

$f(x)=-3(x^2+6x+9)+3*9-35$

$f(x)=-3(x^2+6x+9)+27-35$

$f(x)=-3(x+3)^2-8$

The vertex is (-3,-8), the graph opens down because a=-3<0

Ans: B. Vertex: (−3, −8), opens downward

12. We know the graph of $y=x^2$ is a parabola that opens up and has its minimum point at the origin.

The range of this function is $y\ge 0$

A straight line that has its y-intercept below the x-axis (y=3x-6) will not intersect $y=x^2$ and hence will form a system with no solution.

Ans: D. y equals x squared, y equals 3x minus 6

14. We want to find the zeros of $x^2+21x=5x-63$

$x^2+21x-5x+63=0$

$x^2+16x+63=0$

The factored form is $(x+7)(x+9)=0$

$x=-7\:or\: x=-9$

Ans: C. x = −7, −9

15. The given quadratic expression is $6x^2-17x+10$

We split the middle term to obtain:

$6x^2-12x-5x+10=0$

We factor by grouping to get:

$6x(x-2)-5(x-2)=0$

$(x-2)(6x-5)=0$

Ans: D. 6x − 5

8 0

4 years ago

Read 2 more answers

Q5 Q31.) Use the Pythagorean Theorem to find the length of the missing side of the right triangle. Then find the value of each o

Neporo4naja [7]

a^2 + b^2 = c^2

a = sqrt(c^2 - b^2) = sqrt (20^2 - 16^2)

= 12

sin $\theta$ = a/c = 12/20

= 3/5

cos $\theta$ = b/c = 16/20

= 4/5

tan $\theta$ = a/b = 12/16

= 3/4

csc $\pi$ = c/a = 20/12

= 5/3

= 1 2/3

sec $\pi$ = c/b = 20/16

= 5/4

= 1 1/4

4 0

3 years ago

Read 2 more answers

If $206.40 amounts to$237.36 in 2 years, find therate of simple interest perannum​

If $206.40 amounts to$237.36 in 2 years, find therate of simple interest perannum