Find the future value and the compound interest if $7000 is invested for 5 years at 14% p.a.

[tex]\huge\bold\green{Answer:-}[/tex]

Simplifying

36c2 + -84cd + 49d2 = 0

Reorder the terms:

-84cd + 36c2 + 49d2 = 0

Solving

-84cd + 36c2 + 49d2 = 0

Solving for variable 'c'.

Factor a trinomial.

(6c + -7d)(6c + -7d) = 0

Subproblem 1

Set the factor '(6c + -7d)' equal to zero and attempt to solve:

Simplifying

6c + -7d = 0

Solving

6c + -7d = 0

Move all terms containing c to the left, all other terms to the right.

Add '7d' to each side of the equation.

6c + -7d + 7d = 0 + 7d

Combine like terms: -7d + 7d = 0

6c + 0 = 0 + 7d

6c = 0 + 7d

Remove the zero:

6c = 7d

Divide each side by '6'.

c = 1.166666667d

Simplifying

c = 1.166666667d

Subproblem 2

Set the factor '(6c + -7d)' equal to zero and attempt to solve:

Simplifying

6c + -7d = 0

Solving

6c + -7d = 0

Move all terms containing c to the left, all other terms to the right.

Add '7d' to each side of the equation.

6c + -7d + 7d = 0 + 7d

Combine like terms: -7d + 7d = 0

6c + 0 = 0 + 7d

6c = 0 + 7d

Remove the zero:

6c = 7d

Divide each side by '6'.

c = 1.166666667d

Simplifying

c = 1.166666667d

Solution

c = {1.166666667d, 1.166666667d}

Answer and explanation:

There should be 85.6% correctly made products

If there is less than 85.6% correctly made products then production would be shut down

therefore 100-85.6= 14.4% of products can be incorrectly made and not more than that

In 30 batches 14.4% =0.144*30=4.32 products

Therefore there must not be more than 4.32 products incorrectly made in a batch of 30 else production is shut down

There is no actual way for us to help you since its a graph

An equation is marked out by the presence of the equality sign. From the calculation, the solution to the equation is x = 12/37.

The term equations refers to any mathematical statement that involves the equality sign.

Here we have the equation;  37x = 12, the first step is to divide both sides by 37 as shown;

37x/37 = 12/37

This leaves us with the result x = 12/37 which is the solution to the equation.

Learn more about equation;https://brainly.com/question/2263981

The median of Shona data is 35, while the median for Miguel is 40. The range of Shona and Miguel are 35 and 30 respectively

A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.

The median of Shona data is 35, while for Miguel is 40.

The range of Shona = 60 - 25 = 35

The range of Miguel = 55 - 25 = 30

The median of Shona data is 35, while the median for Miguel is 40. The range of Shona and Miguel are 35 and 30 respectively

Find out more on box plot at: https://brainly.com/question/14277132

Answer: A

Step-by-step explanation:

She found the ratio of the circumference to the sector. not the ratio of the sector to the circumference.

Answer:

do 1/4 x 10=2 1/2

Step-by-step explanation:

Answer:

https://socratic.org/questions/a-card-is-drawn-from-a-standard-deck-a-second-card-is-drawn-without-replacing-th-1#131182

Step-by-step explanation:

:)

Answer:

The circumference would be about 141.3 inches

Step-by-step explanation:

Place your radius into the formula for circumference (C=2πr)

C = 2 × 3.14 × 22.5

C = 141.3

Answer:

15

Step-by-step explanation:

took the k-12 test

Answer:

15.

Step-by-step explanation:

3.75 / 25 = 15.

The required equation of the line in slope intercept form is given as 2x + y = 3

Given that,
To determine the linear equation in slope-intercept form passing through the point with the given slope. (0, 3); slope = -2.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Equation of the line is given as,

y - y₁ = m (x - x₁)
Substitute the value in the equation,

y - 3 = -2 (x - 0)
y = -2x + 3
2x + y = 3

Thus, the required equation of the line in slope intercept form is given as 2x + y = 3

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ2

Answer:

Step-by-step explanation:

Answer:

[tex]y-7=-6(x-1)[/tex]

Step-by-step explanation:

So first you need to find the slope of the line. You do this by doing [tex]m=\frac{y^{2}-y^{1}}{x^{1}-x^{2}}[/tex]. You would plug the points from the line into the equation to get [tex]m=\frac{1-7}{5-4}[/tex], and when you simplify you would get [tex]m=\frac{-6}{1}[/tex] or [tex]m=-6[/tex]. This means your slope is -6.

Now, point slope form is written as [tex]y-y^{1} = m(x-x^{1} )[/tex] so to write the equation you would plug in the slope and the first point to get [tex]y-7=-6(x-1)[/tex]

Answer:

48/10

Step-by-step explanation:

The answer is answering "What is 480% as a fraction in simplest form?"

Answer:

The answer is x = 82, gimme brainliest answer

Answer:

Step-by-step explanation:

At y-intercept, the value of x = 0

Plug in x = 0 in the equation

(0 +4)( 0+2) = y

y = 4*2

y = 8

Y-intercept (0,8)

The probability that the average petal length will be between 1.3 and 1.6cm will be 0.5328.

From the complete question, x has an approximately normal distribution with a mean of 1.5cm and standard deviation of 0.2cm.

The associated probability for z values will be found in the normal distribution table and the probability will be subtracted. This will be:

= 0.6915 - 0.1587

= 0.5328

In conclusion, the probability that the average petal length will be between 1.3 and 1.6cm is 0.5328.

Learn more about probability on:

https://brainly.com/question/24756209

Answer:

$14

Step-by-step explanation:

30 - 10 - 6 = 14

Hope this helps

Answer:

$180

Step-by-step explanation:

Alex gets paid for $6.00 PER hour

In June:

Alex worked for 11 hours.

In July:

19 hours.

You can do 19*6.00 (Lets just do 19*6 for now to make it easier)

19*6=114

Change it to $144.00

In June:

You can do 11*$6.00. '(Lets just do 11*6 for now to make it easier)

11*6=66.

Change it to $66.00

Add the money Alex earned.

June + July= $66+144=$180

Answer:

Rounded: 7.580

Not rounded: 7.5795

Step-by-step explanation:

We fist need to turn the percent into a decimal then we can multiply it :)

8.15 x 0.93

7.580

Have an amazing day!!

Please rate and amrk brainliest!!

Answer:

6.18 ft

Step-by-step explanation:

The ramp forms a right triangle.

We know two of the lengths of the right triangle, therefore, we would apply pythagorean theorem to find the longest length of the triangle, which is the length of the ramp.

The given lengths are 1.5 ft and 6 ft. The length of the ramp is the length of the longest side (hypotenuse length).

Thus, applying pythagorean theorem:

[tex] c^2 = a^2 + b^2 [/tex], where,

a = 1.5 ft

b = 6 ft

c = length of ramp

Substituting the values:

[tex] c^2 = 1.5^2 + 6^2 [/tex]

[tex] c^2 = 2.25 + 36 [/tex]

[tex] c^2 = 38.25 [/tex]

[tex] \sqrt{c^2} = \sqrt{38.25} [/tex]

[tex] c = \sqrt{38.25} [/tex]

[tex] c = 6.18 [/tex] (nearest hundredth)

length of the ramp = 6.18 ft

Step-by-step explanation:

[tex]2 {}^{x} = a {}^{ \frac{x}{12} } [/tex]

[tex]2 {}^{x} = a {}^{ \frac{1}{12} \times x} [/tex]

[tex]2 = a {}^{ \frac{1}{12} } [/tex]

[tex] ln(2) = \frac{1}{12} \times ln(a) [/tex]

[tex]12 ln(2) = ln(a) [/tex]

[tex]e {}^{12 ln(2) } = e {}^{ ln(a) } [/tex]

[tex]2 {}^{12} = a[/tex]

Answer:

D) 2^12

Step-by-step explanation:

It’s correct on Khan academy

Answer:

150th customer

Step-by-step explanation:

To find this we would need the lcm lowest common factor of 30 and 75

LCM 30 = 2,5,3,1

LCM 75 = 3,5,5

H.C.F = 2,3,5,5

         = 150

the 150th custome would be getting both gift.

The series: 2 + 4 + 6 +.... is an arithmetic series

The sum of T41 to T47 is 616

The series is given as:

2 + 4 + 6 +....

The above series is an arithmetic series with the following parameters:

Initial value, a = 2

Common difference, d = 2

Start by calculating S40 using the sum of n terms formula

[tex]S_n = \frac n2 * [2a + (n - 1)d][/tex]

So, we have:

[tex]S_{40} = \frac {40}2 * [2*2 + (40 - 1)*2][/tex]

[tex]S_{40} = 1640[/tex]

Calculate S47 using the same formula

[tex]S_{47} = \frac {47}2 * [2*2 + (47 - 1)*2][/tex]

[tex]S_{47} = 2256[/tex]

Subtract S40 from S47

[tex]S_{47} - S_{40} = 2256 - 1640[/tex]

[tex]S_{47} - S_{40} = 616[/tex]

Hence, the sum of T41 to T47 is 616

Read more about arithmetic series at:

https://brainly.com/question/24295771

Answer:

86 degrees because it is even with the 86 on the other side and all of the other angles match up.

Answer:

Step-by-step explanation: