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4 years ago

Find the simple interest for $5,000 at 5.3% for 16months rounded to nearest cent

Mathematics

1 answer:

aliina [53]4 years ago

6 0

The simple interest is 5000*0.053*1 1/3. Your final answer will be $353.33

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In need of help for pentagon area

TEA [102]

Find the area as iff it was a rectangle, then subtract the area of the triangle in the top left corner.

Area of rectangle = 20 x 18 = 360

Area of triangle = 1/2 x 4 x 3 = 6

Area of pentagon = 360 - 6 = 354 cm^2

See picture:

3 0

3 years ago

Given ABC find the values of x and y. In your final answer, include all of your calculations.

kow [346]

So with this, we will be using proportions. To solve for x, our proportion will be $\frac{x}{6} =\frac{6}{x-9}$

Firstly, cross-multiply: $x^2-9x=36$

Next, subtract 36 on both sides: $x^2-9x-36=0$

Next, replace -9x with 3x-12x $x^2+3x-12x-36=0$

Next, factor x^2+3x and -12x-36 separately: $x(x+3)-12(x+3)=0$ . After, rewrite it as $(x-12)(x+3)=0$

Next, solve for x separately in the two parentheses:

$x-12=0\\ x=12$

$x+3=0\\ x=-3$

Since we can't have a negative length, x = 12.

To solve for y, our proportion will be $\frac{y}{9} =\frac{12}{y}$

Firstly, cross-multiply: $y^2=108$

Next, just square root each side, and your answer will be (rounded to hundredths) $y=10.39$

In short, x = 12 and y = 10.39.

5 0

3 years ago

Find the sum of the first five terms using the geometric series formula for the sequence left curly bracket 1 half comma space m

MatroZZZ [7]

Answer:

$\bold{\dfrac{11}{2 }}$

Step-by-step explanation:

Given the geometric series:

$\{\dfrac{1}2, -1, 2, -4, ..... \}$

To find:

Sum of series upto 5 terms using the geometric series formula = ?

Solution:

Formula for sum of a n terms of a geometric series is given as:

$S_n=\dfrac{a(1-r^n)}{1-r} \ \{r$

$a$ is the first term of the geometric series

$r$ is the common ratio between each term (2nd term divided by 1st term or 3rd term divided by 2nd term ..... ).

Here:

$a = \dfrac{1}{2}$

$r = \dfrac{-1}{\dfrac{1}{2}} = -2$

$n=5$

So, applying the formula for given values:

$S_5=\dfrac{\dfrac{1}2(1-(-2)^5)}{1-(-2)} \\\Rightarrow S_5=\dfrac{1-(-32)}{2 \times 3} \\\Rightarrow S_5=\dfrac{1+32}{6} \\\Rightarrow S_5=\dfrac{33}{6} \\\Rightarrow \bold{S_5=\dfrac{11}{2}}$

So, the answer is

$\bold{\dfrac{11}{2 }}$

3 0

4 years ago

Find the range.<br><br> 40, 35, 45, 55, 60<br><br> Range:

Tpy6a [65]

The range is 25
That’s the answer

4 0

3 years ago

Which graphed line represents an equation of a line with a slope of -2 and a point of line of (-1, 2)

Advocard [28]

Answer:

Step-by-step explanation:

by looking at the point you can see what has a slope.

it is also a decreasing slope

4 0

2 years ago